Downloaded from c.kvclasses.com/wp-content/uploads/2017/05/CDS-1-Maths...c. DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO S T.B.C. : P-DE-A-J-FN ' Serial No. '35625 TEST

c. DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO S

T.B.C. : P-DE-A-J-FN

'

Serial No. '35625

TEST BOOKLET ELEMENTARY MATHEMATICS

(Time Allowed : Two Hours J

INSTRUCTIONS

Test Booklet Series

A (Maximum Marks: 100)

I. IMMEDIATELY AFTER 11iE COMMENCEMENT OF THE EXA1v1INATION, YOU SHOULD CHECK THAT THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET.

2. ENCODE CLEARLY THE TEST BOOKLET SERIES A, B, CORD AS THE CASE MAY BE IN THE APPROPRIATE PLACE IN THE ANSWER SHEET.

3. You have to enter your Roll Number on the Test [ ] Booklet in the Box provided alongside. DO NOT write anything else on the Test Booklet. .._, ------------J,

4. This Test Booklet contains 100 items (questions). Each item is printed both in Hindi and Englisb. Each item comprises four responses (answers). You will select the response which you want to mark on the Answer Sheet. In case you feel that there is more than one correct response, mark the response which you consider the best. In any case, choose ONLY ONE response for each item.

5. You have to mark all your responses ONLY on the separate Answer Sheet provided. See directions in the Answer Sheet.

6. All items carry equal marks. 7. ·'Before you proceed to mark in the Answer Sheet the response to various items in the Test

Booklet, you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate.

8. After you have completed filling in all your responses on the Answer Sheet and the examination has concluded, you should hand over to the Invigilator only the Answer Sheet. You are permitted to take away with you the Test Booklet.

9. Sheets for rough work are appended in the Test Booklet at the end. 10. Penalty for wrong answers :

THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS. (i) There are four alternatives for the answer to every question. For each question for

which a wrong answer has been given by the candidate, one-third (0·33) of the marks assigned to that question will be deducted as penalty.

(ii) If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given answers happens to be correct and there will be same penalty as above to that question.

(iii) If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that question.

( DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO) mA' ｾ＠ : ＳＱＧＡｾｾｦｪ＠ 'f>T ｾ＠ €'41"'d< ｾ＠ :J>!ffiq;l ｾ＠ｾ＠ 'll50 lff ｾ＠ t I

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1. When a natural number n is divided by 4, 6. .If the remainder of the polynomial

the remainder is 3. What is the remainder a0 + a1x + a,x2 + ........ + a.x• when divided

when 2n is divided by 4 ? by (x - 1) is 1, then which one of the

(a) 1 following is correct ?

(b) 2 (a) Bo+a,+ .......... =a, +a,+ ..........

(c) 3 (b) Bo+a,+ .......... =1+a,+a,+ ..........

(d) 6 (c) 1 +a,+ a,+ .......... =-(a,+ a,+ .......... )

(d) 1-a0-a,+ .......... =a,+a,+ ..........

2. What is the last digit in the expansion of (2457)7>4 ?

7. When (x3 - 2x2 + px - q) is divided by (x2 - 2x - 3), the remainder is (x - 6).

(a) 3 What are the values of p, q respectively ? (b) 7 (a) -2,--6 (c) 8 (b) 2, --6 (d) 9 (c) -2, 6

3. If Iog,6 = m and 1og,3 = n, then what is (d) 2, 6

log, (r/2) equal to ? 8. What are the values of c when the HCF

(a) m-n+l of x3 + cx2 - x + 2c and x2 + ex - 2 over

(b) m + n -1 the rationals is a linear polynomial ?

(c) 1-m-n (a) ±1

(d) 1-m+ n (b) ±2

(c) ±3 4. Consider the following statements : (d) ±4

A number ｡Ｑ｡Ｒ｡Ｓ｡Ｔ｡ｾ＠ is divisible by 9 if 9. If (x + 2) is the HCF of x2 + ax + b and

1. a1 + a, + a, + a4 + ｡ｾ＠ is divisible by 9.

x2 +ex+ d (a* c and b *d), then which 2. a, - a, + a, - a4 + a5 is divisible by 9. one of the following is correct ? Which of the above statements is/are correct? (a) a+c=b+d (a) 1 only (b) 2a+b=2c+d (b) 2only (c) b+2c=2a+d (c) Both 1 and 2 (d) b-2c=2a-d (d) Neither 1 nor 2

What is the LCM of (x2 - y2 - z2 - 2yz), 10.

5. What is x(y - z) (y + z) + y(z - x) (xl - Y. + r + 2xz) and (x2 + y. - z: - 2xy) ? (z + x) + z(x - y) (x + y) equal to ? (a) (x + y + z) (x + y - z) (x - y + z)

(a) (x + y) (y + z) (z + x) (b) (x + y + z) (x - y - z) (x - y + z)

(b) (x - y) (x - z) (z - y) (c) {x + y + z) (x + y - z) (x - y - z)

(c) (x + y) (z - y) (x - z) (d) (x + y - z) (x - y - z) (x - y + z)

(d) (y - x) (z - y) {x - z)

2 · (Contd.) X

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l. "ijjif t:R ｾ＠ n 'lit 4 ｾ＠ 1<1 'l ｩｾ､＠ f.l;lrr ;;mrr

ｾ＠ dT fl6j'R'1 3 tmrr ｾ＠ I "ijjif 2n '!i) 4 ｾ＠

ｾ＠ f.l;lrr ;;mrr w m Q'l6j4]('1 <f!.1T ｾ＠ ?

(a) 1

(b) 2

(c) 3

(d) 6

2. (2457)754 <f; 11m"\ if ＳＱＧｾ＠ 31"1' <f!.1T

ｾ＠ ?

(a) 3

(b) 7

(c) 8

(d) 9

3. ｾ＠ log, 6 = m t(<i log, 3 = n m, m log, (r/2) <f; oroan: 'fill ｾ＠ ?

(a) m- n + 1

(b) m + n- 1

(c) 1-m- n

(d) l- m + n

4. ｦＮｩＦＧＱｩＧｒｾ､＠ｾ＠ -q-{ ｾ＠ｾ＠

Ｙｾ＠ . ｾ＠ｾ＠｡Ｌｾ｡Ｓ｡Ｔ｡Ｕ＠ｾ＠ｾＬ＠ｾ＠

1. a, ＫｾＫ｡ＬＫ＠ a4 +as F<l'li""l ｾ＠ 9 ｾ＠

2. a, - ｾ＠ + ｾ＠ - a4 + as !<l'll""l ｾ＠ 9 "it <Jq1'ro Tt "it q\'pr ｭａｬＢｾ＠ Wt ｾａ＠ ? (a) ｾ＠ 1

(b) ｾＲ＠

(c) l afR 2 <?1-iT (d) ;; m 1 am: ;; i!T 2

5. x(y - z) (y + z) + y(z - x) (z + x) +

z(x - y) (x + y) <f; oroan: <f!.1T W ? (a) (x + y) (y + z) (z + x)

(b) (x - y) (x - z) (z - y)

ＨｾＩ＠ (x + y) (z - y) (x - z)

(d) (y - x) (z - y) (x - z) 3 X

6. ｾ＠ Qllll4lcl 1 ｾ＠ iijaf ｾ＠ llo + a,x + ｾｸ＾＠+ ........ + a.x• 'lit (x - 1) ｾ＠Ａ＼ｬＧｬｬｾ､＠ f.l;lrr ;;mrr w, m f.i.-'1 ｉＧｒｾｯ＠ Tt ｾ＠ qit;; m trtl" w ? (a) 11o + a, + .......... = a, + a3 + ......... .

(b) llo + ｾ＠ + ·········· = 1 + a1 +a,+ ......... .

(c) ｬＫ｡ＮＬＫｾＫ＠ .......... ］ＭＨ｡ＬＫｾＫ＠ .......... )

(d) 1 -a.,-a,+ .......... =a, +a,+ ......... .

7 .. "ijjif (x3 - 2x2 + px - q) 'lit (x2 - 2x - 3) "it ｾｾ＠ fil;lrr unm ｾＬ＠ <it ｾｾ＠ 614lcl

(X - 6) ｾ＠ I p, q <f; 'fill"llT: llT'1" <f!.1T ｾ＠ ?

(a) -2, --6

(b) 2, --6

(c) -2, 6

(d) 2, 6

8. "ijjif x3 + cx2 - x + 2c t(<i x2 + ex - 2 'In"

HCF ｱｦｴｾ＼ｩｙ＠ Tt ｾ＠ｾ＠ mm w, m c 'In" llT'1" <f!.1T w ? (a) ±1

(b) ±2

{c) ±3

(d) ±4

9. ｾ＠ x2 + ax + b aft\ x2 + ex + d (a * c aTR b *d) 'liT HCF (x + 2) ｾＬ＠ m ｦＮｩＦＧｬｾｐｩｴ｣ｴ＠Tt "it 'l>"t'i m mfr ｾ＠ ? (a) a+ c = b + d

(b) 2a + b = 2c + d

(c) b + 2c = 2a + d

{d) b ｾ＠ 2c = 2a - d

10. (x2 - y2 - z2 - 2yz), (x2 - f + zl + 2xz) aft\ (x2 + Y - zl - 2xy) 'liT LCM <f!.1T ｾ＠ ? {a) (x + y + z) {x + y - z) {x - y + z)

(b) (x + y + z) (x - y - z) (x - y + z)

{c) (x + y + z) (x + y - z) (x - y - z)

(d) (x + y - z) (x - y - z) (x - y + z)

(Contd.)

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II. If 3• + 27(3""") = 12; then what is the value 16. A person bought 5 tickets from a station P of x? to a station Q and I 0 tickets from the (a) 1 only station P to a station R. He paid Rs. 350. (b) 2 only If the sum of a ticket from P to Q and a (c) 1 or 2 ticket from P to R is Rs. 42, then what is (d) 0 or I the fare from P to Q ?

If x = 1 + ..fi, then what ｾｳ＠ the value of (a) 12 12.

x• - 4x3 + 4x2 ? (b) 14

(a) -I (c) 16

(b) 0 (d) 18 (c) I

17. The product of two alternate odd integers (d) 2

exceeds three times the smaller by 12. 13. What is the magnitude of difference of What is the larger number ?

the roots of x2 - ax + b = 0 ? (a) 3

(a) .Ja2 -4b (b) 5

(b) .Jb2 -4a (c) 7

(c) 2.Ja2 -4b (d) 9

18 . If a• = cq = b and c> = a' = d then which (d) .Jb2 -4ab one of the fo1lowing is correct ?

14. What is the solution of the equations (a) x/y = q/z x - y = 0·9 and ll(x + y)-1 = 2 ?

(b) x+y=q+z (a) x = 3·2 and y = 2·3

(c) xy = qz (b) x = 1 andy= 0·1

(d) x• = q• (c) x=2andy=l·l (d) x=l·2andy=0·3 19. A ball is dropped from a height 64 m

15. Pooja started her job with certain monthly above the ground and every time it hits

salary and gets a fixed increment every the ground it rises to a height equal to

year. If her salary was Rs. 4200 after half of the previous. What is the height 3 years and Rs. 6800 after 8 years of · attained after it hits the ground for the service, then what are her initial salary 16th time ? and the annual increment respectively ? (a) 2-12m (a) 2640, 320

(b) 2-11 m (b) 2460, 320

(c) 2-1om (c) 2460, 520

(d) 2-9m (d) 2640, 520

4 (Contd.) x·

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11. ｾ＠ 3· + 27(3-·> = 12 ｾ＠ m x 'ffl" l1T'f 'fliT

ｾ＠ ? (a) ｾ＠ 1

Ｈ｢Ｉｾ＠ 2

(c) 1 1<T 2

(d) 0 1<T 1

12. ｾ＠ x=1+J2 ｾＮ＠ m x•- 4x3 + 4x2 'ffl"

l1T'f 'fliT ｾ＠ ? (a) -1 (b) 0

(c) 1

(d) 2

13. x2 ｾ｡ｸＫ＠ b = 0 ｾ＠ -wrr ｾ＠ aim: 'ffl" qftqiUI

'fliT ｾ＠ ?

(a) .Ja2 -4b

(b) .Jb2 -4a

{c) 2.Ja2 -4b

(d) .Jb2 -4ab

14. iii4'lif;(Oj'j X- y = 0·9 3lh: 11(X + y)-l = 2 'ffl" tm 'fliT ｾ＠ ? (a) x = 3·2 3lh: y = 2-3

{b) X = 1 3ih: y = 0·1

(c) x=2my= 1·1

(d) X= 1·2 3ih: y = 0·3

15. ｾ＠ it 31'1-ft ｾ＠ｾ＠ｦＮＧｴｾＭｱ､＠ｾ＠

ｾ＠ aiR Pt«<r ｾ＠ｾ＠ <ff:a ｾ＠ 'W' ｾ＠ I "llfit ｾ＠ｾ＠ｾ＠ｾ＠ 3 CflS!' "IR <i. 4200 aiR 8 CflSf "IR <i. 6800 en m ｾｾｾ｡ｩｒｾｾｾ＠

i!ilm: 'f1<T ｾ＠ ? (a) 2640, 320

(b) 2460, 320

(c) 2460, 520

(d) 2640, 520

5 X

16. ｾ＠ｾ＠ it ｾ＠ p ｾ＠ｾ＠ Q {fit> ｾ＠

Ｕｾ＠｡ｩｒｾ＠ｐｾ＠ｾ＠ R{!lf> <f;

ＱＰｾ＠ｾｉｾ＠ q, ＳＵＰｾＱ＠ｾ＠ p

ｾ＠ Q o<fi <f; ｾ＠ｾ＠ p ｾ＠ R {fit> <f; ｾ＠

'ffl" ｾ＠ Q. 42 ｾＮ＠ m P ｾ＠ Q {fit> 'ffl" f<l><l41

'fliT ｾ＠ ?

(a) 12

(b) 14

(c) 16

(d) 18

17. ｾ＠ l(<f;id < f1I1Silf ｾ＠ 'ffl" !Ioi•N>H mz ｾ＠ <f; tfR "!bit ｾ＠ 12 3lfW mar ｾ＠ 1 ｾ＠

ｾ＠ m.arr 'fliT ｾ＠ ?

(a) 3

(b) 5

(c) 7

(d) 9

18. ｾ＠ a• = cq = b 3lh: c• = a• = d ｾ＠ m Pt .. ＮＬｾｦｩｅｬ､＠ if ｾ＠ｾ＠ m "mft ｾ＠ ?

(a) x/y = q/z

(b) x+y=q+z

(c) xy = qz

(d) x• = q•

19. ｾｩｒｾｾＶＴｭｾｾｾｯｭｦｴ＠

ｾ＠ aiR ｾ＠ om: ｾ＠ｾ＠ C:if;(i'l 'IT 'It:

filmft ｾ＠ 'if; aW <f; ｾ＠ｾ＠ｾ＠ I iR

ｾ＠ｾ＠ 16 "4f OfR C: if; (I Ol <f; <lTG f<l>wfi ｾｾｾ＿＠

(a) 2-12m

(b) 2-11 m

(c) 2-lo m

(d) 2-9m

(Contd.)

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20. What is 1he value of2log(5/8) + log(128/125) + log(5/2) ?

(a) 0

(b) I

(c) 2

(d) 5

21. If x cos 60" + y cos oo = 3 and

4x sin 30" - y cot 45° = 2, then what is

the value of x ?

(a) -1

(b) 0

(c) I

(d) 2

22. If the unit of weight is 15/4 kg, what

number '"'ill 312 quintal represent ?

(a) 25

(b) 6

(c) 1/9

(d) None of the above

23. A dishonest dealer professes to sell his goods at cost price, but uses a false weight

and thus gains 20%. For a kilogram he

uses a weight of

(a) 700 g

(b) 750 g

(c) 800 g

(d) 850 g

24. If we divide a positive integer by another

positive integer, what is the resulting

number?

(a) It is always a natural number

(b) It is always an integer

(c) It is a mtional number

(d) It is an irmtional number

6 •

25. Nine numbers are written in ascending

order. The middle number is the average

of the nine numbers. The average of the

first five larger numbers is 68 and that of

five smaller numbers is 44. What is the

sum of all nine numbers ?

(a) 450

(b) 501

(c) 504

(d) 540

26. What is the value of

1 I (

I

.../9-./8 ./8-..fi+ .J7-J6-

(a) 0

(b) l/3

(c) 1

(d) 5

1 I ) ｾｊＶｾＶ＠ --.JS-=5 + .J5-J4 7

27. Two persons P and Q start at the same

time from city A for city B, 60 km away.

P travels 4 kmlhr slower than Q. Q reaches

city B and at once turns back meeting P,

12 km from city B. What is the speed of

P?

(a) 8 kmlhr

{b) 12 km/hr

(c) 16 km/hr

(d) 20 kmlhr

(Contd.)

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20. 2log(518) + log(128/125) + log(5/2) '!iT l1R 'fliT ｾ＠ ? (a) 0

(b) 1

(c) 2

(d) 5

21. <ITG x cos 6o• + y cos o• = 3 aft.: 4x sin 30°- y COt 45° = 2 ｾ＠ ID X il'f lWf

'fliT ｾ＠ ? (a) -1

(b) 0

(c) 1

(d) 2

22. "llft mt ｾ＠ｾ＠ 1s14 kg. ｾ＠ m- <!i't.i til ｾ＠ 3/2 ｾｾ＠ <tit PI ¥>f?ta ｾ＠ｾ＠ ? (a) 25

(b) 6

(c) 1/9

(d) 'd41'ro if ｾ＠ｾ＠ ;fflf

23. ｾ＠ iil{'il"l ｾ＠ 3flR lffi'f <tit ffi1Rf ｾ＠

1ft ｾ＠ *'" ｾ＠ 'if>@ ｾ＠ｾ＠ｾ＠ ifTC

'!iT 'd 4<i'PI q;-.: 20% "ffN 1JT'(f 'iRm ｾ＠ I ｾ＠

fil>ctllJI'l ;f; ｾ＠ Cfi> ｾ＠ 'lffi ;f; "iifiG il'T

'd qti'lll 'if>@ ｾ＠ ? {a} 700 g

(b) 750 g

(c) 800 g

(d) 850 g

24. "llft i.l11 ｾ＠ !:Ff ｾ＠ 'fit ｾ＠ WI ｾ＠ｾ＠ｩ＼ｬＢＢｬｬｾＨｬ＠ q;Uf ｾ＠ m qftou'11 ｾ＠ <!i't.; til ｾ＠ ? (a) Cfi> ｾ＠ｾ＠ t:R ｾ＠ｾ＠

(b) Cfi> ｾ＠ｾ＠ｾ＠ｾ＠

(c) Cfi> ｾ＠ｾ＠ｾ＠ｾ＠

(d) Cfi> ｾ＠ 314\{&14 ｾ＠ｾ＠

7 "

25. 3lRltt 'fill if oft e'tall c( 1ffiifi urnft ｾ＠ I oft'f

<m'ft ｾ＠ ";R oft e'taliai'l" '!if aTrmr ｾｉ＠'!Jql'f -qfq ortt titallafi '!iT ai'rmr 68 ｾＮ＠ aih:

"4fif 'ffitt e' tall an '!iT 3i'fw 44 ｾ＠ I ｾ＠ oft

ｾｩｴ｡ｬｬ＠ ail '!iT 1iPr ｾ＠ｾ＠ ?

(a) 450

(b) 501

(c) 504

(d) 540

1 1 ) J6 - .J5 + .J5 - ..{4 '!iT l1R 'fliT t ?

(a) 0

{b) 113

(c) 1

(d) 5

27. <IT ｾ＠ P aih: Q ｾ＠ 1ft Wl1f 1ft ｾ＠ A

ｾ＠ 60 km ｾ＠ｾ＠ B <tit "'il1'R1 ｾ＠ q;Uf

ｾｉ＠ Q ｾ＠ 4 kmlbr !ftm P 'ifffin ｾｉ＠ Q,

ｾ＠ B ｱｾｩＧ｀＠ｾ＠ aih: W0 <ti'R1 ('l"'lt:<t>< p

<tit ｾ＠ B ｾ＠ 12 km 1ft ｾ＠ｾ＠ 1 P *t

'iffi'i ｾ＠ｾ＠ ?

(a) 8 kmlbr

(b) 12 kmlbr

(c) 16 kmlbr

(d) 20 kmlbr

(Contd.)

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28. ｾ＠ｾ＠ 3!'R l:l1: « ｾ＠ｾ＠ fRit 2·5 kmlhr ｾ＠ "« 'i'H'1't> < 12 ii'Rc: ttl "« ｱｾＧ＼ｬ､ｬ＠ｾＬ＠ m ft:r Cffl' 4 kmlhr ｾ＠ « ｾ＠ｾ＠ 3IT< 15 ii'Rc: ｾ＠ＴｾＧ＼Ｑ､ｬ＠ｾ＠ 1 l:R

« ｾ＠ i¢T ｾ＠ f$a";ft ｾ＠ ? (a) 2 km

(b) 2·5 km

(c) 3 km

(d) 3·5 km

29. A 3itt B ｾ＠ q;r!f 'li't 8 ft:r -q' <¥>"{ m ｾＮ＠ B 3lh: C ｾ＠ q;r!f 'li't 12 ft:i -q' <¥>"{

ｾ＠ｾ＠ I ｾ＠ A, B 3itt C ｾ＠ q;r!f 'li't 6 ft:r -q' 'tU <¥>"{ ｾ＠ｾＮ＠ aT A 3l\'( C ｾ＠

q;rq qit ｾ＠ f<RT -q ｾ＠ <¥>"{ ｾ＠ｾ＠ ? (a) 8

(b) 10

· (c) 12

(d) 16

3 o. 1.('1" wr Tlfu 'R 2 <!"f 'fiT '<l<ti tr.& -arrur ｾＭ 832 mm ｾ＠ am: ﾷｾ＠ wr ｾ＠ 'R ｾ＠

ｾ＠ ll ｾ＠ 'i:ft Wf!r 'fiT flttH(Oj -artUf

ｾＮ＠ 8oo mm ｾ＠ 1 -arrur ｾ＠ 'fliT ｾ＠ ? (a) 6%

(b) 8%

(c) 10%

(d) 12%

'31 . 1.('1" Cl!f.ffi ;l l;'. 4 5,000 <f; 1.('1" 1UTT qit 4%

ｾ＠ 'R am: Wosr 'qflf qit 6% ｾ＠ 'R ｾ＠

ｾ＠ 1 'lift '3'1 ｾ＠ｭｮｾ＠ « ｾ＠ｾ＠ 3IT<r

<roOf( ｾＮ＠ m 3Timr 'OiqJUf ｾ＠ fl!;wft ｾ＠ ? (a) 4·6%

(b) 4·8%

(c) 5·0%

(d) 5·2%

9 "

32. ｾＭ 380 -q ｾ＠ <r(r 'liT ｾ＠ｾ＠ fil;a;rr

ｾｾＮ＠ｾ＠ f.l; 5%W ｾ＠ 1R 25%

ffi'1 m ?

(a) ｾＭ 400

(b) q, 450

(c) <L 500

(d) q, 600

33. ｾ＠ A, ｾＭ 2000 mmr i¢T 1.('1" ｾ＼ｭ＠

ｾ＠ B 'li't ｾ＠ｾ＠ 3lh: 6% ffi'1 'l»l'Td'T

ｾｉ＠ｾ＠ B -;:ffi 5% mf.f 'R 3J"lr ｾ＠

c'li't ｾ＠ｾＬ＠ s -l f$a";ft ｾ＠ 'R r.rn-ｾ＿＠

(a) l'i. 2054

(b) q, 2050

(c) l'i. 2024

(d) ｾＭ 2014

34 ｾ＠ a:b=t.!.:2.!. am: b:c=2:3.!. w, m . 2 4 2

｡Ｚ｢Ｚ｣ｾｾｾ＿＠

(a) 12 : 8 : 21

(b) 8 : 21 : 12

(c) 8 : 12 : 21

(d) 21 : 8 : 12

35. 1.('1" ｾ＠ｾ＠ <i. 114 ｾ＠ｾ＠ I ｾＮ＠

ＵＰｾ＠ am: 10 ｾ＠ Cfl'ff ｾ＠ 3 : 4 : 10

3f-ltlm ｾ＠ｾ＠ I 50 ｾ＠ CllFt ｾ＠ i¢T 'ffio!n f$a";ft ｾ＠ '(

(a) 76

(b) 72

(c) 56

(d) 48

(Contd.)

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36. Two taps can fill a tub in 5 minutes and

7 minutes respectively. A pipe can empty

it in 3 minutes. If all the three are kept

open simultaneously, when will the tub

be full ?

(a) 60 min

{b) 85 min

(c) 90 min

(d) 105 min

37. If (x/y) = (z/w), then what is (xy + zw)'

equal to ?

(a) (x' + z2) (y' + w 2)

(b) x2y2 + z2w2

(c) x2w 2 + y2z2

(d) (x2 + w2) (y' + z2)

1 2 1009 38. If--+--+ . =I thenwhatis

x+l y+2 z+1009 '

the value of _x-+ y + _ _::.z __ ? x+l y+2 z+l009

(a) 0

(b) 2

(c) 3

(d) 4

39. Suppose y is equal to the sum of two

quantities of which one varies directly as

x and the other inversely as x. If y = 6

when x = 4, and y = 10/3 when x = 3,

then what is the relation between x and y ?

(a) y = x + (4/x)

(b) y = -2x + (4/x)

(c) y = 2x + (8/x)

(d) y = 2x - (8/x)

40. A train of length ISO m takes 10 s to

cross another train 100 m long coming

from the opposite direction. If the speed

of first train is 30 kmph, what is the speed

of second train ?

{a) 72 kmph

(b) 60 kmph

(c) 54 kmph

(d) 48 kmph

41. There are some coins and rings of either

gold or silver in a box. 60% of the objects

are coins, 40% of the rings are of gold

and 30% of the coins are of silver. What

is the percentage of gold articles ?

(a) 16

(b) 27

(c) 58

(d) 70

42. What. is the total number of three digit

numbers with unit digit 7 and divisible

by II ?

(a) 6

(b) 7

(c) 8

(d) 9

43. What is the sum of positive integers less

than I 00 which leave a remainder 1 when

divided by 3 and leave a remainder 2 when

divided by 4 ?

· (a) 416

{b) 620

(c) 1250

(d) 1314

10 (Contd.) "

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3 6. <IT "ffi ｾ＠ Z<r qit <film: 5 fiRe 3iiT 7 fiRe if 'lR m ｾｉ＠ｾ＠ｾ＠ｾ＠

3 fiRe if ｾ＠ 'f\1: <Fiim ｾ＠ 1 ｾ＠ -aFn ｾ＠ｗｉｾｗＢｦｦｩｚ＼ｦｱ［ｇｦｾＨ＠

(a) 60 fiRe

(b) 85 fiRe

(c) 90 fiRe

(d) 105 fiRe

37. ｾ＠ (x/y) = (zlw) i, m (xy + zw)2 ｾ＠

ｾ＠ｾ＠ ? (a) (x' + z2) (y' + w')

(b) x'y' + z'w'

(c) x2w2 + y2z2

(d) (x' + w2) (y' + z')

38. ＼ｲｾ＠1 2 1009

-+--+ 1, aT x+1 y+2 z+1009

_x_+ y + z Ｇｬｩｬｬｗｦｾｾ＿＠x+l y+2 z+1009

(a) 0

(b) 2

(c) 3

(d) 4

39. m-Il f'*; y ｾ＠ <IT Ｈｬｾｩ＼ｬＧｩ＠ * <iN * ｾ＠W ｾ＠ｾ＠ｾ＠ X <l; 3!1,'fili 3iiT ｾ＠X <fi ｾｾＦ＾ＧＢＡ＠ fll''HUI qmf't ｾｉ＠ｾ＠ y = 6 ｾ＠

X = 4, aJtt y = 10/3 ｾ＠ X = 3 W, "ffi

x 3iiT y if; ofi;:r "ffafu 'fliT ｾ＠ ?

(a) y = x + (4/x)

(b) y = -2x + (4/x)

(c) y = 2x + (8/x)

(d) y = 2x- (8/x)

II X

40. l:!,<fO 1 SO m &olT {ct•ll-9"1 fllq tld ｾ＠ "ft 3TT'f ;m;ft 100m &olT ｾ＠ｾＰ＼ＧＱＱＱＱＭＹＢＱ＠ qq m: m if 10 ｾ＠ mft ｾｉ＠ｾ＠ YtllT {ctliilfl '<A "ffi'[ 3o kmph ｾＬ＠ m ｾ＠ tctm:t'l <A "ffi'[

ｾｾ＿＠

(a) 72 kmph

(b) 60 kmph

(c) 54 kmph

(d) 48 kmph

41. l:!,<fO ｾ＠ if ｾ＠ ftrq;f; 3iiT ｊｬｬｾｒ［ｱ＠ i ｾ＠ ;;it

ｾ＠ <A 3fll<!T '<fitr <A ｾ＠ I ftrq;f; ｾ＠ｾＳｬＩ＠

'Iii 60% ｾＮ＠｡ｩｾｒ＾＼ｬＧｩ＠ if 40% ｾ＠ <At, 3iiT ftlffi if 30% '<fitr <l; ｾ＠ I ｾ＠ '<A ｾＳｬＩ＠'Iii g f?w 1<1 'fliT ｾ＠ ?

(a) 16

(b) 27

(c) 58

(d) 70

42. ｾ＠ (ft;; ｾ＠ <m'ft ti\.Clli3ll' <A, ｾＧＱＧｦｩｬ＠

ｾ＠ 3T'fi 1 m. 3iiT urr u ｾ＠ｾ＠ if. ｾｭ｡Ｚｲｲｾｷ＿＠

(a) 6

(b) 7

(c) 8

(d) 9

43. ｾ＠ too ｾ＠ mt tR ｾ＠ 'Iii, ｾＧＱＧｦｩｬ＠

3 "ft ｾ＠ m 'IT ｾｉｓＨＧｨ＼Ｇｬ＠ 1 3iiT 4 "ft ｩｬｬＧ＾ｬｩｾ､＠ m 'IT it61'hf1 2 -umr t, .mr 'fliT ｾ＠ ?

(a) 416

(b) 620

(c) 1250

(d) 1314

(Contd.)

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44. What is the greatest number which divides 48. Two sides of a parallelogram are I 0 em 392, 486 and 627 so as to leave the same and IS em. If the altitude corresponding

remainder in each case ? to the side of length IS em is S em, then

(a) 47 what is the altitude to the side of length

(b) 43 10 em?

(c) 37 (a) S em

(d) 34 (b) 7·5 em

(c) 10 em 45. A man walking at the rate 3 krnlhr crosses

(d) 15 em a square field diagonally in I minute. What

is the area of the field ? 49. From a rectangular metal sheet of sides

(a) 1000 rn2 25 ern and 20 em, a circular sheet as large

(b) 1250 m2 as possible is cut-off. What is the area of

the remaining sheet ? (c) 2500 m1

(a) 186 cm2

(d) 5000 m2

(b) 144 cm2

46. The difference between the area of a square (c) 93 cm2

and that of an equilateral triangle on the (d) 72 cm2

same base is 1/4 cm2• What is the length

50. Three cubes each of side 5 em are joined of side of triangle ? end to end. What is the surface area of

(a) (4- ..J3)1/2 em the resulting cuboid ?

(b) (4 + ..J3)112 em (a) 300 cm2

(c) (4- ..fj)-1/2 em (b) 350 cm2

(4 + ..J3rl'2 (c) 375 cm2

{d) ern (d) 400 cm2

47. A horse is tied to a pole fixed at one 51. The diameter of the moon is approximately

comer of a 50 m x SO m square field of one-fourth of that of the earth. What is

grass by means of a 20 m long rope. What the (approximate) ratio of the volume of

is the area of that part of the field which the moon to that of earth ?

the horse can graze ? (a) 1/16

(a) 1256 m2

(b) l/32 (b) 942 rn2

(c) l/48 (c) 628 rn2

(d) 1/64 (d) 314m2

12 (Contd.) • www.examrace.com



44. ｾ＠ M ort't ｾＮ＠ｾｍ＾ｉ＠ 392, 486 ;m 627 if \ll1f ｾ＠ '1ft ｾ＠ iiR Vl6f'fi('t WJR

"'Qim t '1\R ｾ＠ t ?

(a) 47

(b) 43

(c) 37

(d) 34

45. ｾ＠ｾ＠ 3 kmlhr itlr « ｾ＠ｾ＠ ... Ｌｲｾｬ＼＠m q;') ｦ｣ｬｾｯｦ､Ｚ＠ I fiRG" if W iFUfr t I

m <FT ｾｈ＠ :;j'fi('t 'f<IT t ?

(a) 1000 m2

(b) 1250 m2

(c) 2500 m2

(d) 5000 m2

46. WJR 3lTtlR cm\t cnf ;m M"'l!i) ｾ＠ <f;

oi'l :il\fi(1'f 'FT aim" 114 cm2 t I ｾ＠ <tT ｾ＠<tt ｾ＠ 'f<IT t ?

{a) ( 4- .fj )112 em

(b) (4+.J3)112 em

(c) (4-.fir1'2 em

(d) (4+.J3)-112 em

47. ｾ＠ 50 m x 50 m qllf<t;l( lffif <f; ｾ＠ <f;

ｾ＠ q;');l '1ft ftqa ｾ＠ｾ＠ｾ＠ｾ＠ 20 m

M'<fi -mfi ｾ＠ <fm t I ｾ＠ <f; ｾ＠ｾ＠ <FT

<i'l"l<ficl, ｾ＠ｾ＠ 'iR ｾ＠ t. ｾ＠t ? (a) 1256 m2

(b) 942m2

(c) 628m2

(d) 314m2

13 X

48. ｾ＠ Mid< iid"' <tT;;) ｾ＠ 10 em ;m 15 em 'I'R'ft ｾｉ＠ｾ＠ 15 ･ｭｾ＠ｾ＠ｾ＠

<f; ｾ＠ｾＵ｣ｭｴＬ＠ m ｬｏ･ｭｾ＠ｾ＠

ｾＪｾｾｬｴｬｕｴ＿＠

(a) 5 em

(b) 7-5 em

(c) 10 em

(d) 15 em

49. 25 em ;m 20 ･ｭｾ＠ｾ＠ｾ＠ＳＱＱＴ､ｬｾｬ＼＠

ｾ＼ｴｴｾｾＧｬｬＢ＼ｭＧｾｾｾｾｾ＠

ｾｴｩｬｾｬ＼＠ｾ＠ l!iTtT iil11ft t I <fifl ｾ＠ｾ＠'FT lil :;j<fj('j 'f<IT t ?

(a) 186 cm2

(b) 144 cm2

{c) 93 em2

(d) 72 cm2

50. \fA 'Ef"fl q;'), ｾＢｬ｣ｃｉ＠ｾ＠ｾ＠ 5 em t, ftR ｾ＠ !mr ｾｉＧｬｬｾ＼＠ｾ＠ 'Gffiir t 1 qft:un4l tr-fl'ii 'FT 'll!O lil '1\ficl 'f<IT t ?

(a) 300 cm2

(b) 350 cm2

(c) 375 cm2

(d) 400 cm2

st. ｾ＠ 'FT ell'ffi '2:tifi * ell'ffi * ｾ＠ '<item <f; ･ｦｲＢＡｾ｣Ｚ＠ t 1 ｾ＠ <f; 3114<1"1 <FT ｾ＠

<f; atl!ld "1 ｾ＠ efr"! "'c: 311>41<1 ltlU t ? (a) 1/16

(b) 1132

(c) 1/48

(d) 1/64

(Contd.) www.examrace.com



52. What is the area of a right angled isosceles

triangle whose hypotenuse is 6..Ji em ?

(a) 12 cm2

(b) 18 cm1

(c) 24 cm2

(d) 36 cm2

53. If A is the area of a triangle in cm2, whose

sides are 9 em, 1 0 em and 11 em, then which one of the following is correct ?

(a) A< 40 cm2

(b) 40 cm2 <A< 45 cm2

(c) 45 em' <A < 50 cm2

(d) A> 50 em'

54. A roller of diameter 70 em and length 2 m is rolling on the ground. What is the area covered by the roller in 50 revolutions ?

(a) 180 m2

(b) 200m'

(c) 220m'

(d) 240m2

55. A cylindrical rod of length h is melted and cast into a cone of base radius twice that of the cylinder. What is the height of the cone?

(a) 3h/4

(b) 4h/3

(c) 2h

(d) h/2

56. A cylindrical vessel of base radius 14 em is filled with water to some height. If a rectangular solid of dimensions 22 em x 7 em x 5 em is immersed in it, what is the rise in water level ?

(a) 0·5 em

(b) 1·0 em

(c) 1·25 em

(d) 1·5 em

57. A lead pencil is in the shape of a cylinder.

14 X

The pencil is 21 em long with radius 0·4 em and its lead is of radius 0·1 em. What is the volume of wood in the

pencil ?

(a} 9 em'

(b) 9·4 cm3

(c) 9·9 cm3

(d) 10·1 em'

58. What is the angle (in radian) included between the hands of a clock, when the time is 1 0 minutes past 5 ?

59.

(a) 171t/36

(b) l97t/36

(c) 57tl9

(d) 77tll2

B Q

In the figure given above

1t LABD = LPQD = LCDQ =

2 If

AB = x, PQ = z and CD = y, then which one of the following is correct ?

1 1 1 (a) -+-=-

x y z

1 1 1 (b) -+-=-

X Z Y

1 1 1 (c) -+-=-

z y X

(d) 1 1 2 -+-=-X y Z

(Contd.) www.examrace.com



52. \% e'i'f>.,IVI e'if@:li11\?) ｾ＠ｾＮ＠ｾ＠ 'fiVf

6.fi em t l?l'l'hl'l 'fliT ｾ＠ ?

(a) 12 cm2

(b) 18 crn2

(c) 24 crn2

(d) 36 crn2

53. ｾ＠ 9 em, 10 ern am II ･ｲｮｾ＠ 1ffi1t ｾＧｦｩｔｾ＠ａＨ｣ｲｮＲｩｦＩｾＮ＠ m ｐｬＢＧＧｾｾ､＠ｩｦＢﾫｾｭｭｦｴｾ＿＠

(a) A < 40 crn2

(b) 40 crn2 <A< 45 cm2

(c) 45 crn2 <A< SO cm2

(d) A > SO crn2

54. '% ｾＮ＠ｾ＠ C<:!rn" 70 em om Rli1T{ 2 m ｾＮ＠ＧｊＺｾ＠ 1R ffir-fi 1Jfu "'"' WI ｾｉ＠ｾ＠ so qf1<t>>i•i'i if ｾ＠ｾ＠ l'"fliT ｾｭ＠ｾｾ＿＠

(a) 180 rn2

(b) 200m2

(c) 220 rn2

(d) 240m2

55. \% h Rli1T{ <f\l ｾ＠ <'1'1iij; I ( ｾ＠ 'fit 1lffi1IT

;;mrr ｾ＠ am ｾ＠ｾ＠ if <miT ;;mrr ｾ＠ｾ＠

3ITUIT ｾ＠ m <f\l 3ITUIT ｾ＠ <f\l ¥ ｾ＠ I ｾ＠ q\1 ｾ＠ f'l;o;ft ｾ＠ ?

(a) Jh/4 (b) 4h/3

(c) 2h

(d) h/2

56. 1:l!l' "'M"''iij;i{ 'IDf 'fit, ｾ＠ 3ITUf< ｾ＠

14 ･ｲｮｾＮ＠ '1T'fi "« ｾ＠ｾ＠ｾ＠ 'IRT ;;mrr ｾ＠ I ｾ＠ 22 em x 7 em x 5 em fcllrr <m't \% ::JIIlldlij;l{ iffi 'fit ｾ＠ｾ＠ ;;miT ｾＮ＠

m "1M' ｾ＠ if f'l;o;ft ｾ＠ M ? (a) 0·5 em

(b) 1·0 em

(c) 1·25 em

(d) 1·5 em

15 •

57. \% ｾｍＢＧＧｉｩｪ［ｬＨ＠ｾｾｾｉ＠ｾ＠ <f\l ｾ＠21 cmam ｾ＠ 0·4cmt ｡ｭｾｾ＠

<tl· ｾ＠ 0·1 em ｾﾷＱ＠ｾ＠ <li <!>I'SO 'fiT

311lld'1 'fl!T ｾ＠ ?

(a) 9 cm3

(b) '9·4 cm3

(c) 9·9 crn3

(d) 10·1 cm3

58. ｾｾｩｦ＠ WFf 5 ｾ＠ IOiWfc ｗｉｄｾ＠d<f ｾ＠ <l; 'fift1 <l; oiT<f Of'11 ql'rur Ｈｻｾ＠ IH

if) 'fl!T ｾ＠ ?

59.

(a) 177tl36

(b) 191t/36

(c) 51tf9

(d) 71t/12

A

l(

B

'341'ffi f<ffl if

LABD = LPQD = LCDQ = ｾﾷ＠ｾ＠

AB = x, PQ = z aiR CD= y!, ffi Pi ｊｏＢＧＧｦｩＺｬｾ､＠if '!i"r""'' m 1:l!l' mft ｾ＠ ?

I I I (a) -+-=-

x y z

1 1 I (b) -+-=-

X Z y

l l 1 (c) -+-=-

z y X

1 I 2 (d) -+-=-

X y Z.

(Contd.}

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60. APQR is right angled at Q, PR = 5 em 64. c and QR = 4 em. If the lengths of sides of another triangle ABC are 3 em, 4 em and 5 em, then which one of the following is correct ?

(a) Area of APQR is double that of AABC (b) Area of AABC is double that of APQR

A B

(c) LB=LQ 2 In the figure given above, Pis a point on

(d) Both triangles are congruent AB and PQ is parallel to AC. What is the

61. Which one of the following figures has number of pairs of distinct similar triangles only one line of symmetry ?

(a) Rhombus in the figure ?

(b) Rectangle (a) 1

(c) Isosceles trapezium (b) 2 (d) Parallelogram

(c) 3 62. A ladder 25 m long is leaning against a

wall which is perpendicular to the level (d) 4

ground. The bottom of the ladder is 1 m 65. If the medians of two equilateral triangles

from the base of the wall. If the top of the ladder slips down 4 m, how much are in the ratio 3 : 2, then what is the

will the bottom of the ladder slip ? ratio of their sides ? (a) 1m (b) 8m (a) I : 1

(c) 10m (b) 2:3 (d) ISm

(c) 3: 2 63. IfC, and C2 and r, and r1 are respectively

.J3:..fi the centroids and radii of incircles of two (d)

congruent triangles, then which one of 66. The centroid and the orthocenter are the following is correct ?

(a} C, and C2

are the same point and coincident for which one of the following

r1

= r2

triangles ?

(b) C, and C2 are not necessarily the same (a) Scalene triangle

point and r1 = r2

(c) C 1

and C2

are the same point and r 1 (b) Isosceles triangle

is not necessarily equal to r2 (c) Equilateral triangle (d) C

1 and C

2 are not necessarily the same

(d) Right angled triangle point and r

1 is not necessarily equal

to r2

16 (Contd.) X

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.60. ｾｐｑｒＬ＠ Q 'l1: M'liluftll ｾＮ＠ PR = 5 em aTR .QR=4cml "®i ｾｾｾａｂｃｾ＠ｾ＠ 3 em, 4 em altt 5 em &oiTt ｾ＠ｾ＠m f-'1+='1 ｦｒｾＨ｜＠ if <Wf m ｾ＠ mit ｾ＠ ? (a) ｾｐｑｒ＠ 'fiT iil::ilf>M, MBC * iil::ilf>M

-« ｾＢＧＱＱ＠ｾ＠

(b) ｾａｂｃ＠ 'fiT ｯｩｬＧＪＧＺＺｾ］ｬｦｬ］ｍＬ＠ MQR * iil::ilf>M

-« ｾ＠ｾ＠

(c) LB= LQ 2

(d) m-;ff ｦ＿ｲｾ＠ (Nf•le"l ｾ＠

61. ｦＮＧｉｈｦｒｾＶ＠ if ｾ＠ <Wf ｾ＠ｾ＠ • ｾ＠

ｾ＠ｍｾｦ＿ｩ＠ｾ＠ｾ＠ ?

Ｈ｡Ｉｾｾ＠

(b) 3Tf1l<f

(c) e"lfi:i.il!; ｾ＼ｴｬｾ＼ＱＧＱ＠

(d) e'1i6< ｾｾ＠

62. ｾ＠ 25 m ｾ＠ｾ＠ｾ＠ -« ｾ＠ｾｉ＠

ｾｾｾｾｾｾｾＧｦｩｔｾ＠

1Wn "flfR 'l1: ｾ＠ * 3lmiT -« 7 m 'l1: ｾ＠ 1 m'ii ｾ＠ 'fiT W\lsf lmr ｾ＠ 'l1: 4 m ｾ＠ｾ･ＧＡ＾ｭ＠ｾ＠ m ｾ＠ 'fiT ｾ＠ 1Wn f<l;o;n fu1 e <f> •11 ? (a) 7 m

(b) 8 m (c) 10m (d) 15 m

63. m'ii m- e<11i1M ｾ＠ * m- ｡ｩＶＱｾＧＱﾷ＠ * ｾ＠ 3ih: Bi"""lllt <!ilm: c, 3ih: C2 om r, 3ih: r2 ｾ＠ m Pl"'1fRRlil6 if -« qiR m ｾｭｩｴｾ＿＠

(a) C, altt C2 ｾ＠ tl fiq ｾ＠ altt r1 = r2

(b) ｾ＠ＳＱＱｃｉｾｉｬＧＡ＾＠ "'1"t'f flf; C1 altt C2 ｾ＠ t\ fiq if altt r

1 = r

2

(c) C1

altt C2 ｾ＠ tl fiq ｾ＠ｾ＠ｾ＠

ＳＱＱ＼ＱｾＱＱﾥ＠ "'1"t'f flf; r 1 ai'R r2 ｾ＠ if (d) ｾ＠ 311Ci!llli# "'1"t'f flf; c, ai'R c, ｾ＠ tt

fiq if ai'R ｾ＠ 3Ui'l!lllifi "'1"t'f flf; r1 ai'R r, ｾ＠ i'f

17 X

64. c

aqfro fuf if AB 'IT ｾ＠ fiq P ｾ＠ aTR

PQ,AC* 6'1i6< ｾｉｾｾｾ＠

* ｾ＠ q\) man ifi!lT ｾ＠ (

(a) I

(b) 2

(c) 3

(d) 4

65. m'ii m- e'1i.il!; ｾ＠ q\) 'lfill'!>l ｾ＠ 'fiT

3!1,lffif 3 : 2 ｾＮ＠ m- ｾ＠ "J"!Tm 'fiT ｾＧｦｦｩｦ＠

ifi!lT ｾ＠ ?

(a) 1 : l

(b) 2: 3

(c) 3:2

(d) .fi:.fi

66. PI ＢＢｾ＠ fR fui6 ｦ＿ｲｾ＠ if -« <Wf m ｦ＿ｲｾ＠ｾ＠ｾＶＧＣＱ＠ＪｾＢＧ＠ m.: ｻＧＡＧｾｾ＠ <ftmft

ｾ＠ ?

(a) fillll'1<11!; ｦ＿ｲｾ＠

(b) 6"lfi:<ll!; ｦ＿ｲｾ＠

(c) ｾｦ＿ｲｾ＠

(d) 6'l'lil•l ｦ＿ｲｾ＠

(Contd.)

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67.

68.

B

A

In the figure given above, a circle is

inscribed in a quadrilateral ABCD. Given

that BC = 38 em, QB = 27 em, DC = 25 em

and AD is perpendicular to DC. What is

the radius of the circle ?

(a) 11 em

(b) 14 em

(c) IS em

(d) 16 em

R

In the figure given above, what IS

LCBA?

(a) 30"

(b) 45°

.(c) so• (d) 60°

18 X

69. A, B, C; D are four distinct points on a

circle whose centre-is at 0.

If LOBO - LCDB = LCBD - LODB,

then what is LA equal to ?

(a) 45"

(b) 60°

(c) ·120•

(d) 135°

70. PQ is a common chord of two circles.

APB is a secant line joining points A and

B on the two circles. Two tangents AC

and BC are drawn. If LACB = 45°, then

what is LAQB equal to ?

(a) 75°

(b) 90°

(c) 120°

(d) nso

71. ABCD is a concyclic quadrilateral. ·The

tangents at A and C intersect each other

at P. If LABC = 100", then what is LAPC

equal to ?

(a) 10•

(b) 20°

(c) 300

{d) 40°

(Contd.)

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67.

68.

B

A

Jqfro ｾ＠ if ｾｾ＠ ABCD if ｾ＠ｾ＠

ｾ＠ I BC = 38 em, QB = 27 em, DC = 25 em

3\h AD, DC 'R ｾ＠ i I ｾ＠ '1ft f,rvm

1i'mR't ｾ＠ ?

(a) 11 em

{b) 14 em

(c) 15 em

(d) 16 em

69. A, B, C, D 'lR ｾ＠ｾ＠ 1:!.'P V'f tff ｾ＠

ｾｾＰｾＱ＠

lift LOBD - LCDB = LCBD - LODB

ｾＬ＠ ffl LA ｾ＠ "$ ormn ｾ＠ ?

(a) 45°

(b) 60°

(c) 120°

(d) 135"

70. -;;1 ｾ＠ '1ft ｾＢｬｬｬｐｉＢＶ＠ ;;fiqr PQ ｾ＠ 1 APB 1:!.<P

m nm ｾ＠ ;;£t G"R1 ｾ＠ trr ｾＳＱＱ＠ A ｡ｾｒ＠

B q;) ｾ＠ｾ＠ I -;;1 fGQl1:<.0til{ AC aiR BC

ｾ＠ｾ＠ｾ＠ 1 lift LACB = 45° t m LAQB "$ ｾ＠ 'fliT ｾ＠ ?

(a) 75"

(b) 90°

(c) 120"

(d) 135°

71. ABCD ll>'l"!tftll ｾｾ＠ｾ＠ 1 A aiR C tff

tGQ11:<.011 l{ 1:!.'P ｾ＠ q;) P 'R ｾ＠ｾ＠ I lift

LABC = 100°, m LAPC ｾ＠ "$ ｾ＠

R ｾ＠ ?

<!4fttl m if LCBA ｾ＠ｾ＠ ? (a) 30°

(b) 45°

(c) soo

(d) 60°

19 X

(a) 10"

(b) 20°

(c) 30"

(d) 40"

(Contd.)

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72.

73.

N

In the figure given above, M is the mid

point of the side CD of the parallelogram

ABCD. What is ON : OB ?

(a) 3 : 2

(b) 2 : 1

(c) 3 : I

(d) 5: 2

E

y X

In the figure given above, YAX is a tangent

to the circle with centre 0. If LBAX = 70°

and LBAQ = 40", then what is LABQ

equal to ?

(a) 20"

(b) 30"

(c) 35"

(d) 40°

74.

75.

20 X

In the figure given above, AP = 3 em,

PB = 5 em, AQ = 2 em and QC = x.

What is the value of x ?

(a) 6 em

(b) 8 em

(c) 10 em

(d) 12 em

In the figure given above, 0 is the centre

of a circle circumscribing a quadrilateral

ABCD. If AB = BC and LBAC = 40",

then what is LADC equal to ?

(a) so• (b) 60"

(c) 70"

(d) so•

(Contd.)

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72.

73.

A

N

d'l$<ffi m if Mit1 ( ｾ＠ ABCD ｾ＠

ｾ＠ CD 'fiT lTv:! ｾ＠ M ｾ＠ I ON : OB 'lliT

ｾ＠ ?

(a) 3: 2

(b) 2 : I

(c) 3 : I

(d) 5:2

E

y X

d4$'ffi m if YAX ｾ＠ｾＮ＠ｾｦｬ＼Ａｩｬ＠ fl 0 l ｦＧｬｾｦｦ＼ｩｵ＠ｾ＠ I ｾ＠ LBAX = 70° aih: LBAQ = 40° ｾ＠ "t1l LABQ ｾ＠ｾ＠

ｾ＠ 7

(a) 20"

(b) 30°

(c) 35°

(d) 40"

74.

75.

2I •

d4$iffi m if AP = 3 em, PB = 5 em,

AQ = 2 em aih: QC = x ｾ＠ 1 x 'fiT 1lT'f 'lliT

ｾ＠ ? (a) 6 em

(b) ·gem

(c) 10 em

(d) 12 em

B

d'l$'ffi m if ｾｾ＠ ABCD <f; 4!1<['0 'fiT

R 0 ｾ＠ I ｾ＠ AB = BC aTR LBAC = 40"

ｾ＠ "t1l LADC <f; ｾ＠ 'lliT ｾ＠ 7

(a) 50"

(b) 60"

(c) 70"

(d) so•

(Contd.)

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76. Let AB and AC be two rays intersecting 80. If sin x cos x = l/2, then what is the

at A. Let D, E be the points lying on value of sin x - cos x ?

AB, AC respectively and P be the point (a) 2

such that P divides the line DE such that (b) I

PD : PE = AD : AE. What is the locus of (c) 0

the point P? (d) -1

(a) The angle bisector of angle A 81. If tan2 y cosec2 x - 1 = tan2 y, then which

(b) The angle trisector of angle A one of the following is correct ?

(c) The perpendicular bisector of angle A (a) x-y=O

(d) None of the above (b) X= 2y

77. What is log (tan 1°) + log (tan 2") + (c) y = 2x

log {tan 3°) + ... , ....... +log (tan 89") equal (d) X- y = )o

to ? Jf cosx + cosx 82. 2, which one

(a) 0 l +cosec x cosec x -1

(b) I of the following is one of the values

(c) 2 ofx?

(d) -1 (a) 1t/2

(b) 7tl3 78. Consider the following equations :

(c) 7tl4 I. cosec2 x + sec2 x = cosec2 x sec> x

(d) 7tl6 2. sec2 x + tan2 x = sec2 x tan2 x

3. cosec2 x + tan2 x = cot2 x + sec2 x 83. If x + y = 90" and sin x : sin y = J3: t. Which of the above statements are correct? then what is x : y equal to ?

(a) 1 and 2 only (a) l : 1

(b) 2 and 3 only (b) 1 : 2

(c) 1 and 3 only (c) 2 : 1

(d) 1, 2 and 3 (d) 3:2

79. If cos x + cos2 x = 1, then what is the 84. If cosx =n, sin x then what -.-=m, is

value of sin2 x + sin• x '! cosy smy

(a) 0 (m2 - n2) sin2 y equal to '!

(b) l (a) I - n2

(c) 2 (b) I+ n2

(d) 4 (c) ml

(d) nl

22 (Contd.) . X

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76. 11A ｾ＠ｾ＠ A 'R G1 ＱＱｦ､ｾ［ｦｴ＠ｾ＠

AB afn: AC W I 11A ｾ＠ｾ＠ f<q

D, E <!>lll11: AB, AC 'R ｾＮ＠ P ｾｾ＠

1m DE 'lit ｾ＠ｾ＠ qi'UfT ｾ＠ｾ＠

PD : PE = AD : AE I f<q P ｾ＠ 'P1 'fliT

i ?

(a) <Rur A ｾ＠ <titur ･ｲｾＧ＾ｬｬＢＧＧｦｩ＠

(b) '!iTur ａｾ＠ '!iTur ｾｾ＠

(c) <Rur ａｾｾ＠

(d) '3 q:[if<i "if -« qiT{ 1fi "l1ff

77. log (tan I") + log (tan 2°) + log (tan 3") + ..... .

..... + log (tan 89°) of <mof{ 'fliT i ?

(a) 0

(b) 1

(c) 2

(d) -1

•

I. cosec' x + sec' x = cosec' x sec2 x

2. sec' x + tan' x = sec' x tan' x

3. cosec' x + tan2 x = cot2 x + sec' x

;jq:[iffi Ｂｦｩｾ＠ "if -« ｾ＠ｾ＠ｾ＠ ?

(a) ｾ＠ I 3ih: 2

(b) ｾ＠ 2 3ih: 3

(c) ｾ＠ I afn: 3

(d) 1, 2 am: 3

79. ｾ＠ cos x +cos' x = I ｾＮ＠ ill sin' x +sin' x ｾ＠ 11A 'fliT ｾ＠ ?

(a) 0

(b) I

(c) 2

(d) 4

23 X

80. ｾ＠ sin X COS X = 1/2 ｾＧ＠ <fl sin X - COS X

ｾ＠ 11A 'fliT ｾ＠ ? (a) 2

(b) I

(c) 0

(d) -1

8). ｾ＠ tan2 y Cosec2 X - 1 = tan1 y ｾＮ＠ <ft PI ＧＢＱｾＱ｜ＢＱＨＱ＠ "if ｾ＠ m m ｾ＠ W1 ｾ＠ ?

(a) x- y = 0

(b) X= 2y

(c) y = 2x

(d) X- .Y = 1°

f'>.. COS X cosx 82. ＧｉｴＡｾ＠ +

I +cosec x cosec x -I

PI ""1 ｒｬｬｾｭ＠ "if -« m m . ｾＮ＠Ｂｩｦｾｾｾ＿＠

(a) 7t/2

(b) 7t/3

(c) 7tl4

(d) 7tl6

83. ｾ＠ x + y = 90° 3ih: sin x: sin y = .Jj :1

i m x: yof <mof{ Ｇｦｬｩｔｾ＿＠

(a) I : I

(b) I : 2

(c) 2 : I

(d) 3 : 2

....... cosx 84. ＧＭｾＧｾ＠ --=n,

cosy

(m2 ｾ＠ n2) sin' y of

(a) 1 - n2

(b) 1 + n2

(c) m2

(d) n2

smx ｾﾷ＠--=m t> sin y

<mof{ 'fliT ｾ＠ ?

(Contd.)

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85. If 0 ｾ＠ x ｾ＠ n/2, then which one of the

following is always correct ?

{a) sin1 x < 112 and cos2 x > 1/2

(b) sin2 x > 112 and cos2 x < l/2

(c) sin2 x < 112 and cos2 x < 112

(d) At least one of sin2 x, cos2 x is less

than l

86. If p = tan2 x + cot2 x, then which one of

the following is correct ?

(a) p ｾ＠ 2

(b) p ｾ＠ 2

(c) p < 2

(d) p > 2

87. What is the value of

5 sin 75" sin 77" + 2 cos 13" cos 15" cos 15" sin 77"

(a) -1

(b) 0

(c) 1

(d) 2

7sin81"? cos9" ·

8S. ,J,\ radio transmitter antenna of height

100 m stands at the top of a tall building.

At a point on the ground, the angle of

elevation of bottom of the antenna is 45" and that of top of antenna is 60°. What is

the height of the building ?

(a) 100m

(b) 50 m

(c) 50(.J3+I)m

(d) 50(.J3-I)m

89. The angle of elevation of the top of an

unfinished pillar at. a point 150 m from

its base is 30". If the angle of elevation at

the same point is to be 45", then the pillar

has to be raised to a height of how many

meters?

(a) 59·4 m

(b) 61·4 m

(c) 62·4 m

(d) 63·4 m

90. Which one of the following represents

statistical data ? •

(a) The names of all owners of shops

located in a shopping complex

(b) A list giving the names of all states

of India

(c) A list of all European countries and

their respective capital cities

(d) The volume of a rainfall in certain

geographical area, recorded every

month for 24 consecutive months

91. If sin x +sin y =a and cos x +cosY= b,

what is sin x · sin y + cos x · cos y equal

to?

(a) a+b-ab

(b) a+ b + ab

(c) a2 +b2 -2

(d) ( a2 + ｾｺ＠ -2)

24 (Contd.) X

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8s. ｾﾷ＠ o $ x $ 7tl2 ｾＬ＠ err r.t .. ＮＬｦｦｬｾ｡＠ｾ＠ｾ＠

ｾ＠ｭＧｚＧｦＧｾｗｔｾ＠ 7

(a) sin2 x < l/2 3l'R cos2 x > 1/2

(b) sin2 x > 112 3l'R cos2 x < 1/2

(c) sin2 x < l/2 3l'R cos2 x < 112

(d) sin2 x, cos2 x ｾ＠ｾ＠ 'fi1f ｾ＠ '!>lf 'Z'f'.

ｾｾｭ･ｲｾ＠

86. ｾ＠ p = tan2 X+ COt2 X t err ｦＮＧＡｬＢＧＱＱＧｦｬｾ､＠

ｾｾｾｭＧｚＢＧｭｦｴｾ＿＠

(a) p $ 2

(b) p ｾ＠ 2

(c) p < 2

(d) p > 2

5 sin 75° sin 77" + 2 cos 13° cos 15° 87. cos 15" sin 77"

9iT liT'f 'fln t ?

(a) -1

(b) 0

(c) l

(d) 2

7sin81".

cos 9"

88. 'Z'f' ｾ＠ * M 'R ＱＰＰｭｾ＠ <m'IT ｾ＠

ｾ＠ｾ＠ tJ;rt1'1i l1l91" t I ｾ＠ * ｾ＠ｾ＠ 'R tJ>rC.t '11 ｾ＠ oAt 9iT a r'1<!'1 '!i'tuT 45° 3l'R tJ;rc."HI * 'QfTtf 9i'f ar'1'!'1 qi'tur

6o•t• ｾｾｾＧｦｬｮｴ＿＠(a) 100m

(b) 50 m

(c) 50(.J3 + 1)m

(d) 50(.J3 -l)m

25 )(

89. ｾ＠ 3ll{t ｾ＠ｾ＠ * arnm: ｾ＠ 150m 'R

ｾ＠ｾ＠ lR ＭＦｾ＠ * M 9il ＼ｾＢＢｾ＠ <!'1 qiM

300 ｾ＠ I ｾ＠ '\3\ft ｾ＠ 'R ｾ＠ * ｾ＠ 9iT

a r'1ll '1 '!i'tuT 4 5" ｾ＠ｾ＠ err ｾ＠ '!'it fll>tA

'!ftc:<: ｾ＠ i'f"P ｾ＠ "'TQ; ?

(a) 59·4 m

(b) 61·4 m

(c) 62-4 m

(d) 63·4 m

90. ｦＮｴＢＧＱＱＧｦｬｾ｡＠ｾ＠ｾ＠ｾ＠ｾＮ＠･ｩｾｱｱｬｬ＠ｾ＠

'!'it f.!! ¥fq{1 'l>{d'T i ?

(a) ｾＮ＠ mftflT Ｇｦ＾ｊｬＧｱｾｩｦｦｩ＠ｾ＠ＳＡ＼ｬｾ､＠ lMT

ｾ＠ * ｾｬｩｬｬＴＧｩ＠ * '11lf

(b) mm * ｾ＠ｾ＠ * 1T1{f ｾ＠ｾ＠

wtr (c) lM't '0 <fill ffi'i ｾ＠ 3l'R ｾ＠ Wm

-rr-;rwf.'!l<i'i ｾ＠ wfr c d) ｾ＠ t=ai'Q IISC .. \, inffl"' ｾ＠ｾ＠ Y Ia •m•

i'ji+lilld 24 1lWl' i'f"P ;:-;;f ｾ＠ lf{ q1Sif ｾ＠

1W-fl

91. ｾ＠ sin x + sin y = a ai'R cos x + cos y = b

ｾＮ＠ err sin X • sin y +COS X ·COSy* ｾ＠

1flU ｾ＠ ?

(a) a+b-ab

(b) a+b+ab

(c) a2 +b2 -2

(d) ( a2 ＫｾＲ＠ -2)

(Contd.)

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92. The arithmetic mean of a set of I 0 numbers 95. Data on percentage distribution of area

is 20. If each number is first multiplied of land in acres owned by households in

by 2 and then increased by 5, then what two districts of a particular state are as

is the mean of new numbers ? follows :

(a) 20 Land holding District-A Distriet-8

(b) 25 0·01-0·99 5·62 13·53

1·0-2·49 18·35 21·84 (c) 40

2·5-7·49 47·12 39·32 (d) 45

7·5-12-49 19·34 12·15

93. Consider the following types of data : 12·5-19·99 7·21 7·43

I. Marks of students who appeared for a 20·0-29·99 2·36 5·73

test of 100 marks. What is the appropriate diagram to

2. Collar sizes of200 shirts sold in a week. represent the above data ?

3. Monthly incomes of250 employees of (a) Pie diagram

a factory. (b) Histogram

For which of the above data, mode is a (c) Bar chart

suitable measure of central tendency ? (d) None of the above

(a) I and 2 only 96. If a is the angle of first quadrant such

(b) 2 only that cosec• a = 17 + cot' a, then what is

the value of sin a ? (c) I and 3 only

(a) l/3 (d) l,2and3

(b) 1/4

94. The mean of 25 observations is 36. The (c) 119

mel}ll of first 13 observations is 32 and (d) l/16

that of last 13 observations is 39. What is 97. If x + (1/x) = 2 cos a, then what is the the value of 13"' observation ? value of x2 + ( l/x2) ?

(a) 20 (a) 4 cos2 a

(b) 23 (b) 4cos2 a-l

(c) 32 (c) 2cos2 a-2sin2 a

(d) 40 (d) cosl a - sin2 a

26 X

(Contd.)

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92. 10 tk"l131f if; ll;'f> ti!J>.,illl 'fiT ('iliid< ｾ＠

20 ｾ＠ I ｾ＠ｾ＠ｾ＠ if ｾ＠ 2 ｾ＠ '!r1T fil>m -;;om ｾ＠ aiR Jtl;( ｾ＠ 5 ｾ＠ -;;om

t aT ｾ＠ｾ＠ｾ｀ＴＱＳ｜ｬ＠ 'f>t ｾ＠ <fliT ｾ＠ ?

(a) 20

(b) 25

(c) 40

(d) 45

93. f.1 "'1!f1Rctd m ｾ＠ 31iifi<l'f -rr< f<Rm:

ｾＺ＠

I. ｾ＠ l'<hlift.f41 * m<diq; -;;j'r 100 3i'f; qffi

ll;'f> 4 flll1•1 if ｾ＠ Er I

2. ll;'f> ｾｩｦｾｾ＠ＲＰＰｾ＠ｾ＠ 'liR'rU

'fiT l'1N I

3. ll;'f> ｩｦｩｩＨ｀ｬｾ＠ * 250 ifi4'ilil't4'i <tit ｾ＠

31itJI.lf.1'1tl

\341<ttt ｾｩｦｾｾｾｾｾ＠

ｾｾＧｦｩｔ＠ \349;<ttl +n<T ｾ＠ ?

(a) ｾ＠ 1 aiR 2

Ｈ｢Ｉｾ＠ 2

(c) ｾ＠ 1 aiR 3

(d) 1, 2 aiR 3

94. 25 ｾ＠ lll'li'f 'fiT ｾ＠ 36 ｾ＠ I '1t:llf 13 ｾｬｬｬＧｬｩＧｦ＠ 'fiT

lffiJ:I 3 2 am: :;ffitzJ n vlll'li'f q;r ｾ＠

39 ｾｉ＠ 13 ｾ＠ｾｬｗｊｦ＠ 'f;T 1'IR <fliT ｾ＠ ?

(a) 20

(b) 23

(c) 32

(d) 40

27 X

95. ll;'f> fu)l;r m ｾ＠ｾ＠ f-llffi if "i ｾ＠ 1fli<ii <f;

ｴ＼ｵｦｬｬｾＧｬ＠ if "i-lflm 'fiT ｾ＠ if ｾｾｾｾ｡＠ｾ＠

f.1 ＢＧｬｬｦｬｾ､＠ｾ＠ :

ｾ＠ etro1T fm;u-A firm-B

0·01-0·99 5·62 13·53

1·0-2·49 18·35 21·84

2·5-7·49 47·12 39·32

7·5-12·49 19·34 12·15

12·5-19·99 7·21 7-43

20·0-29·99 2-36 5·73

\341<ttt ｾ＠ 'fit r.t <>'l<ia m <mrr \jq!!<ttl

arrm <fliT ｾ＠ ?

(a) 1!1l arrm (b > 3ll<ld' arrm c c > ﾫｲｾ＠ arrm (d) \jq1<ttt. if ｾ＠ｾ＠ ....tf

96. ｾ＠ 1ll!:fl'f ｾｱｦｦｩ＠ if q;)11f a ｾ＠ｾ＠ f1l;

cosec• a = 17 + cot' a, m sin a 'fiT 1'IR ﾷｾ＠ ( <fliT t> •

(a) 1/3

(b) 1/4

(c) 119

(d) 1116

97. ｾｘＫ＠ (1/x)= 2 COS a l aT x1 + (l/x2)

q;r 1'IR <fliT ｾ＠ ?

(a) 4 cos2 a

(b) 4 cos2 a - 1

(c) 2 cos1 a - 2 sin2 a

(d) cos2 a - sin2 a

(Contd.)

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Directions : Each of the next THREE (03) items consists of two statements, one labelled as the' Assertion (A)' and the other as 'Reason (R)'. You are to examine these two statements carefully and select the answers to these items using the codes given below :

Codes:

(a) Both A and R are individually true and R is the correct explanation of A

(b) Both A and Rare individually true but R is not the correct explanation of A

(c) A is true but R is false

(d) A is false but R is true

98. Assertion (A) : If two triangles have same perimeter, then they are congruent.

Reason (R) If under 1!- given corres-pondence, the three sides of one triangle are equal to the three sides of the other triangle, then the

two triangles are congruent

28 X

99. ABC is a triangle. Let D, E denote the

mid points of BC, CA respectively. Let

AD and BE intersect at G. Let 0 be a

point on AD such that AO: OD = 2 : 7.

Assertion (A) : AO = (2 GD)/3

Reason (R) OD = (2 AG)/3

100. ABC is a triangle. AD, BE, CF are altitudes

of £1ABC.

Assertion (A) : (AB2 + BC2 + CAl) >

(AD2 + BE2 + CP)

Reason (R) .. (AE2-Af2)+(Bf2-BIY)+

(CD2 - CE2) = 0

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f.'ihr :

3lJlllljt -ar.r (t3) 1w1 ivn <f>" ｾ＠ if m Cffi!O!r ｾ＠ : ｾ＠ｾ＠ｾ＠ (A)' ｾ＠ｾ＠ｾ＠

'<ffiur (R)' ｾ＠ 1ll!f ｾ＠ I ｾ＠ｾ＠ 'liffial'f 'liT (11'1>ll·i'i'i,<f<fi q tllltDI "<fi't ｾ＠｜ＱｾＢＱ＠ [$1! 'liT

ｾ＠ｾ＠ｾ＠ｾ＠ 'li,G ｾ＠ (1(114dl if ｾＺ＠

<fG:

{a) A aiR R m-IT ｾ＠ｾＮ＠ aiR R, A 'liT

ｾ＠ f<ll\l"l<fi{Uj ｾ＠

(b) A 3ih: R m-IT ｾ＠ｾＮ＠ｾ＠ R, A 'liT

ｾ＠ f<l ｴｾ｛ｪｱ［＠ {U i -riff ｾ＠

(c) A ｾ＠ｾＮ＠ｾ＠ R 1fffif ｾ＠

(d) A 1fffif ｾＮ＠ｾ＠ R ｾ＠ｾ＠

98. <fi"I!R (A) :

<fiRl1T (R) :

<1ft m ｾ＠ｾ＠ fr qfif&lfd <f>" ｾＮ＠ ffl it Mf•IM ｾ＠ I

<1ft <fr "If{ WTfd" <f; 31(frfu '

ｾｾｾｴｦｒＩｾ＠

ｾｾｾｴｦｒＩｾ＠* ar{1af"{ ｾＮ＠ m it m--n ｦＺｩｲｾ＠ Mf•IM ｾ＠ I

29 X

99. ａｂｃｾ＠ｾ＠ｾ＠ I lfR ｾ＠ D, E "i!ilm:

BC, CA <fi "'fAf-i!!; '1\'t mRm rn ｾ＠ 1 lfR

ｾ＠ AD 3ft1: ｂｅｾ＠ G lf{ ＱＱｦ､ｾ＼ＺＧＱ＠

m ｾｉ＠ lfR ｾＮ＠ ADlf{ ｾ＠Ｐｾ＠

V<rn ｾ＠ fil; AO : OD = 2 : 7 ｾ＠ 1

ｾ＠ (A} : AO = (2 GD}/3

<fiRl1T (R) : OD = (2 AG)/3

I 00. ｾ＠ｾ＠ａｂｃｾ＠ I AD, BE, CF, MBC <f; ¥flt{f1kl ｾ＠ I .

ｾ＠ (A) : (AB 2 + BC2 + CA2) >

(AD2 + BE2 + CF2)

<fiRl1T (R) : (AE2 -AP) + (BP- BD') + (CD2

- CE2) = 0

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SPACE FOR ROUGH WORK

ｾｾｾｾ＠

30 X

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SPACE FOR ROUGH WORK

ｾｭＢｴｾ＠

31 X

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•

( ) ｩｴＺ＼ｦｩＮｾＮ＠ : P-DE-A-J-FN

'lfmvr :!Rod Cfll

ｾ＠ 41illid

ＳＱｪｻｾｩ＠

A ( y:vrf1fi : 100)

1. lffu:rr "lf'R:t'll m ｾ＠ｾ＠ <mr, 3l1'f ｾ＠ｾ＠ :JFtoa"'' ｾ＠ '1¥<111!1 ｾ＠ｾ＠ -Ft ｾ＠ m ｾ＠ iiAT <JOU, -q;cr m wr pr ｾ＠ｾ＠ !H'1iQI 311f1t ｾ＠ m 1 ｾ＠ｾ＠ t. m w ｾ＠ｾ＠ jft.o<t>t ｾ＠ omr ＮｩＧｴｾｬＨ＠ 1

2. ＢＳＢＧｦｦ＼ＺＭｾ＠ it ｾ＠ "t'QFi 'R ｱｻｬ｡ｾｯＱ＠ nf:J!m'=<t>=l ｾ＠ A, B, C m D ＧｬＢｬｩｾｒｬ＠ｾ＠ｾ＠ it 'ff<l<i ｾｉ＠

3. ｾ＠ "<fftlff11T ｾｩｦ＾＠ I 'R ｾ＠ if fitQ; m!; 'lilcso<t> if 3IT'!iflT r 1 Ｚ［ＺｾＴ＼ｾｾ＿ＧＢＧＢｩＢＧ＠ lfR"''11 ｾ＠ 1 wll'!11f ｾＢＧｾ＠ 'R m F .

4. ｾ＠ 'lfra1ur ｾｩｦ＠ＱＰＰｾ＠ (liR) ｾ＠ llll; ｾｉｾｾｾｾ＠ｾ＼ｗｩｬ＠ｩｦｾ＠ｾｉ＠

ｾ＠ｓｬｾＧｩｩｾｬ＠ if "'<111: ｬｫｾＧｴｈ＠ＨｾＩ＠ fitQ; m!; ｾ＠ I ｾ＠ｾ＠ｾ＠ｓｬｾｾＧｴｈ＠ｾ＠ｾ＠ 'R, ｾ＠ 3l1'l ｾＭｾ＠

'R ｾ＠ "iflT'l1 ｾ＠ w 1 ｾ＠ 31J1:!'!it ｾ＠ em fol> ｾ＠ｾ＠ 3lft:l<l; ｓｬｾＡＡＧ､＼＠ .rnt w. m ｾ＠ｾｾｾｾｴｬ＼＠

'fi1 ｾ＠ "if>'{ 'G!'t 31J1:!'!it eci'l\1'"1 em I ｾ＠ＱＱｾＧＱ＠ iVl ｾ＠ｾ＠ｾ＠ｾ＠ tt ｾｾＧｴｩＨ＠ｾＢＱＱ＠ W I

s. ｾ＠ 3!'8 ｾ＠ｾ＠ 3R'llT ｾ＠ｾ＠ｾ＠｜ｭｻＭｾ＠ 'R tt a1lif;o m ｾｾ＠｜ｭｻＭｾ＠ｩｦｾｾ＠ｾ＠ｾ＠ 1

6. tMT ｉｉｾ＠ '1 i ｾｮ＠ <f; WI' wrr'1' ｾ＠ I

7. ｾ＠ｾ＠ fol; 3lT'l "<fftll'fllT Ｚｩｾｩｦｬｬ＠ <f; ｾｾＭＧＱ＠ \IQ'1 iiti <f; ｜ｬｾｴｬｻ＠ｾＭｾ＠ 'R ｾ＠ "iflT'l1 ｾ＠

"'flt, 31J1:!'!it m lJ'"lT'll-'f;f * ｾ＠ｾ＠ＳＱＱ［ｾｩｦｲ＠ * 3ITit< ｾ＠ｾ＠ｾＭｾ＠ if ｾ＠ｾ＠ 1

8. 3Tl'1 3T'A ｾ＠ｬｬｱｴｾＨｬＧ＠ｾ＠ｾＭｾｩｦ＠ 'lR'l <f; orR ｴｩｭｾ＠ <f; 6'"llq'1 'R ｾ＠ＳｦｦｩＧＭｾ＠

31ifuwf> ｾ＠ oWl ｾ＠ I ｾ＠ 3T'A ｾ＠ q f!IHOj :ifffiifll N ｾ＠ *' 311;1lRI ｾ＠ I

9. ｾ＠ ifl1l1 ｾ＠ｾ＠ｾ＠ Wll'fllT :J;I'fft'fil <f; 3Rf if ｾ＠ w I I 0. '7f"<'ffi ｾ＠ｾ＠ｾ＠ G0'5 :

＼ＡｾｐｉＴＵ＠ｾＭＧｦＧＮｩｲ＠ it ｡ＫＴｬｾ＼ｴｬ＼＠ imT ｾ＠ｾ＠ '7f"<'ffi '3'ffif ｾ＠ｾ＠ G0'5 ｾ＠ "111!0'11 1

(i) ｾ＠ "IIR ｾ＠ｾ＠ <m: ｡ＢＧｾＢＧ＠ｾ＠ w 1 3Rflqqi( ;m ｾ＠ '\IV'1' * ｾ＠ｾ＠ ml: ｾ＠ lR'Rf

ｾ＠ <f; ｾ＠ '\IV'1' ｾ＠ f.'fzR1 ｾ＠ m!; 3I<Fi 'liT 'l('f'-ftmt (0•33) GV5 ｾ＠ｾ＠ if "fiTCT ｾｉ＠

( ii) ｾ＠ m 3 AOtl<;q 1 < ｾ＠ｾ＠ 3lft:l<l; ｾ＠ｾ＠ｾＮ＠ m ｾ＠ '7f"<'ffi "3"'ff{ lJAT ｾＮ＠ 'll"'l1tt ｾ＠ml: ｾｩｦｾｾｾ＠ mfr ifurr l ｾＱｦｴｾ＠ "IIR Ｇｩｦ［ｾ＠ 3q1'm11>m< tl ｾ＠ tm

'liT GV5 ｾ＠ｾﾷ＠(iii) ｾ＠ 3 t=4)<;q I< ID\1 m 1lT-1 ｾ＠ '1lff f1l;!rr ;;;mrr W ｾ＠ 3 +4l4q I< ID\1 ｾ＠ '1lff ｾ＠

;;;mrr ｾＮ＠ m ｾ＠ 1lT-1 * ｾ＠ <ilt ｾ＠ m ｾ＠ｾﾷ＠

Note : English version of the instructions is printed on the front cover of this Booklet.

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