Aptitude TestQuestions : 25 Time:30 minutes

1. Two candles of equal lengths but different thicknesses can burn completely in 6 and 4 hours respectively. What will be the ratio of their lengths at the end of 3 hours?

1. 1:2 2. 3:1 3. 2:14. 1:3

2. Akash can row to some place and come back in 8 hours. His upstream speed is 45 and the downstream speed is 90 kmph. What is the distance that he travels upstream?

1. 320 km 2. 270 km 3. 210 km4. 240 km

3. The value of the series 4/1 – 4/3 + 4/5 – 4/7 + 4/9 – 4/11+… is

1. 3.61 2. 3.14 3. 2.714. 2.33

4. The number of employees of Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above to the number of employees who are not, can possibly be1. 101:88 2. 110:111 3. 85:98

4. 97:84

5. In a 4-digit number, the sum of the first two digits is equal to that

of the last two digits. The sum of the first and last digits is equal to the third

digit. Finally, the sum of the second and fourth digits is twice the sum of the

other two digits. What is the third digit of the number?

1. 5 2. 8 3. 1 4. 4

6. Consider a sequence where the nth term, tn = n/(n + 2). The value of t3× t4× t5×… × t53 is1. 2/495 2. 2/477 3. 12/55

4. 1/1485

7. Three Englishmen and three Frenchmen work for the same

company. Each of them knows a secret not known to others. They need

to exchange these secrets over person-to-person phone calls so that

eventually each person knows all six secrets. None of the Frenchmen

knows English, and only one Englishman knows French. What is the

minimum number of phone calls needed for the above purpose?.

(1) 5 (2) 10 (3) 9 (4) 15

8. Two pipes fill a tank in 8 and 12 hrs respectively, third pipe can empty the tank

6 hrs, they start at 1pm, 2pm and 3pm respectively then at what time tank will be filled?1. 6 am 2. 7 am 3. 8 am

4. 9 am

9. Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos ? 1. 17 2. 18 3. 19 4.

15

10. Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? (1)3 (2)2 (3)4

(4)1

11. December 9, 2001 is Sunday. What was the day on December 9, 1971?

1. Thursday 2. Wednesday 3. Saturday 4. Sunday

12. Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is:1. 1/2 2. 2/3 3 1/4

4. ¾

13. How many numbers between 1 and 200 are there such that when they are divided by 2, 3, 4, 5 and 6, they leave remainders 1, 2, 3, 4 and 5 respectively?1. 1 2. 2 3. 3 4. 4

14. A college has raised 75% of the amount it needs for a new building

by receiving an average donation of Rs 600 from the people already solicited.

The people already solicited represent 60% of the total people the college

will ask for donations. If the college is to raise exactly the amount needed

for the new building, what should be the average donation from the remaining

people to be solicited?1. Rs.300 2. Rs.250 3.

Rs.400 4. Rs.500

15. Amol was asked to calculate the arithmetic mean of ten positive integers each of which had two digits. By mistake, he interchanged the two digits, say a and b, in one of these ten integers. As a result, his answer for the arithmetic mean was 1.8 more

than what it should have been. Then b – a equals1. 1 2. 2 3. 3

4. none of these

Directions for questions 16 to 21 -There are 6 refineries, 7 depots and 9 districts. The refineries are BB, BC, BD, BE, BF and BG. The depots are AB, AC, AD, AE, AF and AG. The districts are AAA, AAB, AAC, AAD, AAE, AAF, AAG, AAH, and AAI. Table A gives the cost of transporting one unit from refinery to depot. Table B gives the cost of transporting one unit from depot to a district.Table A

BB BC BD BE BF BGAA 928.2 537.2 567.8 589.9 589.9 800.1

AB 311.1 596.7 885.7 759.9 759.9 793.9

AC 451.1 0 320.1 780.1 720.7 1000.1

AD 371.1 150.1 350.1 750.1 650.4 980.1

AE 1137.3 314.5 0 1157.7 1157.7 1023.4

AF 617.1 516.8 756.5 1065.9 1065.9 406.3

AG 644.3 299.2 537.2 1093.1 1093.1 623.9

Table B

AA AB AC AD AE AFAAA 562.7 843.2 314.5 889.1 0 754.8

AAB 532.7 803.2 284.5 790.5 95.2 659.6

AAC 500.7 780.2 0 457.3 205.7 549.1

AAD 232.9 362.1 286.2 275.4 523.6 525.3

AAE 345.1 268.6 316.2 163.2 555.9 413.1

AAF 450.1 644.3 346.2 372.3 933.3 402.9

AAG 654.5 0 596.7 222.7 885.7 387.6

AAH 804.1 149.6 627.2 360.4 1035.3 537.2

AAI 646 255 433.5 137.7 698.7 112.2

16. What is the least cost of sending one unit from any refinery to any district?

1. 95.2 2. 0 3. 205.7 4. 284.5

17. What is the least cost of sending one unit from any refinery to the district AAB?1. 0 2. 284.5 3. 95.2 4. none of these

18. What is the least cost of sending one unit from refinery BB to any district?1. 284.5 2. 311.1 3. 451.1 4. none of these

19. What is the least cost of sending one unit from refinery BB to district AAA?1. 765.6 2. 1137.3 3. 1154.3

4. none of these

20. How many possible ways are there for sending one unit from any refinery to any district?1. 63 2. 42 3. 54 4. 378

21. The largest cost of sending one unit from any refinery to any district is1. 2172.6 2. 2193.0 3. 2091.0 4. none of these

Mark (1) if the question can be answered by using the statement A alone but not by using the

statement B alone. Mark (2) if the question can be answered by using the statement B alone but not by using the statement A alone. Mark (3) if the question can be answered by using either of the statements alone. Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone. Mark (5) if the question cannot be answered on the basis of the two statements.

22. Committee member W wants to schedule a one-hour meeting on Thursday for himself and three other committee members, X, Y and Z. Is there a one-hour period on Thursday that is open for all four members?

(1) On Thursday W and X have an open period from 9:00 a.m. to 12:00 noon.

(2) On Thursday Y has an open period from 10:00 a.m. to 1:00 p.m. and Z has an open period from 8:00 a.m. to 11:00 a.m.

23. If Jack’s and Kate’s annual salaries in 1985 were each 10 percent higher than their respective annual salaries in 1984, what was Jack’s annual salary in 1984?

(1) The sum of Jack’s and Kate’s annual salaries in 1984 was $50,000.

(2) The sum of Jack’s and Kate’s annual salaries in 1985 was $55,000.

24. What is the value of x?

(1) x + 1 = 2 – 3x(2)

25. How many newspapers were sold at a certain newsstand today?

(1) A total of 100 newspapers were sold at the newsstand yesterday, 10 fewer than twice the number sold today.

(2) The number of newspapers sold at the newsstand yesterday was 45 more than the number sold today.

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