STWT-5

The IITians Prashikshan Kendra

A Resonance of Brilliant Minds!

Answerkey - Test 1 (Jan. 2014)In-Program Test for PRODIGY (Freshers) Program

MATHEMATICSSol.1(c) The answer is 5! = 5 X 4 X 3 X 2 X 1 = 120

Sol.2(b) In option (a) 9 6 = 3 4

In option (b) 8 4 = 4

48 is also divisible by 3 and 4.

Hence option (b) is correctSol.3(b)

Sol.4(c)

Sol.5(c) Refer the Prodigy Guide for the solution.Sol.6(a) Reasoning: As the man walks at of his usual rate, the time that he takes is of his

usual time.

of his usual time = usual time + 20 minutes

i.e. of his usual time =20 minutes his usual time = 60 minutes = 1 hour.

Sol.7(d) Refer the Prodigy Guide for the solution

Sol.8(b)

(1)

Again

(2)

Adding (1) and (2), we get

Substituting this value for x in equation (2), we get

Now,

Sol.9(c) Let y be the additive inverse of. Then

Sol.10(a) Let,

SHAPE \* MERGEFORMAT

The two interior angles of the triangle are together equal to the exterior angle on the opposite side of the interior angles

EMBED Equation.3

But BO and CO are the bisectors of these angles

Hence, and

or each half of the angles is equal to or (as shown in the fig)

and

In

In

180

180 360

260 130260

13065Sol.11(c) In

For

In

so,

Sol.12 (b)

Divide by numerator and denominator both

But is given

Sol.13(b) 5 girls can sit in ways behind them 6 boys can stand in ways

Therefore, the total number of ways = = 86400.Sol.14(a)=

=

As remainder

EMBED Equation.3 is a factor of polynomial .Sol.15(b) Placing the, 1 as indicated in the problem, shifts the given digits to the left, so that t is

now the hundreds digit and u is now the tens digit.

CHEMISTRYSOLUTIONS :31(c)

32(c)

33(a)

34(b)

35(c)

36(d)

37(d)

38(b)

39(a)

40(a)

41(c)

42(b)

43(d)

44(c)

45(d)

X

2

B

x

q

A

90- EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

O

C

8

B

6

A

EMBED Equation.3

EMBED Equation.3

EMBED Equation.3

50

r

y

Y

C

O

p

Page 1 of 5The IITians Prashikshan Kendra A Resonance of Brilliant Minds!

Page 2 of 5

_1171840620.unknown

_1172195934.unknown

_1172196031.unknown

_1172196126.unknown

_1248420550.unknown

_1248420589.unknown

_1303701084.unknown

_1303701073.unknown

_1248420575.unknown

_1172196150.unknown

_1172212508.unknown

_1172212523.unknown

_1172196160.unknown

_1172212487.unknown

_1172196139.unknown

_1172196074.unknown

_1172196093.unknown

_1172196112.unknown

_1172196083.unknown

_1172196050.unknown

_1172196063.unknown

_1172196040.unknown

_1172195987.unknown

_1172196011.unknown

_1172196022.unknown

_1172196003.unknown

_1172195950.unknown

_1172195970.unknown

_1172195939.unknown

_1172101103.unknown

_1172122373.unknown

_1172195886.unknown

_1172195910.unknown

_1172122457.unknown

_1172195863.unknown

_1172122469.unknown

_1172122423.unknown

_1172122350.unknown

_1172122364.unknown

_1172101121.unknown

_1171840667.unknown

_1172101082.unknown

_1172101098.unknown

_1172101024.unknown

_1172101051.unknown

_1171840647.unknown

_1171840653.unknown

_1171840631.unknown

_1171833180.unknown

_1171834245.unknown

_1171834404.unknown

_1171837156.unknown

_1171837178.unknown

_1171834442.unknown

_1171834461.unknown

_1171834468.unknown

_1171834455.unknown

_1171834425.unknown

_1171834308.unknown

_1171834396.unknown

_1171834274.unknown

_1171834186.unknown

_1171834222.unknown

_1171834227.unknown

_1171834200.unknown

_1171834160.unknown

_1171834181.unknown

_1171833242.unknown

_1171832097.unknown

_1171833094.unknown

_1171833095.unknown

_1171832196.unknown

_1171833061.unknown

_1171832201.unknown

_1171832101.unknown

_1171832070.unknown

_1171832076.unknown

_1171832051.unknown