Aptitute Question SET 6

Directions for 1 to 10:

For the following questions, four options are given. Choose the best option.

1. What is the total face value of stocks, available at Rs.95 each, that can be purchased by investing Rs.1905 (brokerage Rs.0.25 per share)?

A.Rs.1940

B. Rs.1975

C. Rs.2000

D.Rs.2002.75

2. A man sells Rs.5000 face value, 12% stock at Rs.156 each and invests the proceeds partly in 8% stock at Rs.90 and 9% stock at Rs.108. He thereby increased his income by Rs.70. How much of the proceeds were invested in each of the stocks, taken in the same order?

A. Rs.4200, Rs.3600

B. Rs.3600, Rs.4200

C. Rs.3400, Rs.4400

D. Rs.4400, Rs.3400

3. An investor owning 1000, Rs.5 face value shares in a company sells 400 of them at Rs.6.75 each. He invests the proceeds in a stock at Rs.90. The total income of the investor in 1 year, when a divided of 6.5% p.a. is paid on shares and 7.25% on stock, is

A. Rs.412.50

B. Rs.450.75

C. Rs.512.35

D. Rs.452.40

4. A person invests Rs.14970 in the purchase of 3% stock at Rs.90 each & % stock at Rs.97 each. His total income was Rs.500. How many shares of each type did he buy?

A. 102, 60

B. 100, 65

C. 95, 70

D. 105, 60

5. A person has 3% stock which yields Rs.240 per year. He sells out 1/4 of the stock at Rs.87.25 and invests the proceeds in Railway stock at Rs.174.5. What dividend should the latter pay so that he may increase his income by Rs.40?

A. 8%

B. 9%

C. 12%

D. 1%

6. A milk man borrowed Rs.2500 from two money lenders. For one loan, he paid 5% p.a. and for the other, he paid 7% p.a. The total interest paid for the two years was Rs.265. How much did he borrow at each rate?

A. Rs.2135, Rs.365

B. Rs.2000, Rs.500

C. Rs.2125, Rs.375

D. Rs.2200, Rs.300

7. Vijay obtains a loan of Rs.64000 against his fixed deposits. If the rate of interest be 2.5 paise per rupee per annum, then calculate the compound interest payable after 3 years.

A. Rs.4500

B. Rs.5200

C. Rs.4130

D. Rs.4921

8. What annual payment will discharge a debt of Rs.50440 due in 3 years at 5% per annum compounded annually?

A. Rs.17532

B. Rs.18522

C. Rs.19320

D. Rs.18922

9. A sum of money is put at compound interest for 2 years at 20% p.a. It would fetch Rs.482 more, if the interest were payable half-yearly, than if it were payable yearly. Find the sum.

A. Rs.18000

B. Rs.20000

C. Rs.25000

D. Rs.23000

10. The simple interest on a sum of money will be Rs.300 after 5 years. In the next 5 years if principal is trebled, then what will be the total interest at the end of the 10th year?

A. Rs.1200

B. Rs.1125

C. Rs.1250

D. Rs.1500

Answers

1. B                               6. B

2. B                               7. B

3. A                               8. C

4. B                               9. B

5. C                              10.A

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Aptitute Question SET 5

Directions for 1 to 10: 

 For the following questions, four options are given. Choose the best option.

 
1. A man would gain 20% by selling a chair for Rs.47.5 and would gain 15% by selling a table for Rs.57.5. He sells the chair for Rs.36. What is the least price for which he must sell the table to avoid any loss on the two items together?

A. Rs.50.2
B. Rs.55.8
C. Rs.60
D. Rs.53.6

2. The cost of 4 apples and 5 mangoes is Rs 35. The cost of an apple increases by 40% and the cost of a mango decreases by 40%. If the new cost of 4 apples and 5 mangoes is Rs.29, then the total cost of one apple and one mango is

A. Rs.7.50

B. Rs.10
C. Rs.4
D. Rs.8

3. A fruit seller has 24 kg of apples. He sells a part of them at 20% gain and the balance at a loss of 5%. If on the whole he earns a profit of 10%, then the quantity of apples sold at a loss is

A. 6 kg
B. 4.6 kg
C. 9.6 kg
D. 11.4 kg
4. A cycle dealer buys 30 bicycles for Rs.4725, of which 8 are first grade and the rest are second grade. At what price must he sell the first grade bicycles, so that if he sells the second grade bicycles at three quarter of this price, he makes a profit of 40% on his outlay?

A. Rs.291
B. Rs.312
C. Rs.270
D. Rs.300

5. Three partners invested capital in the ratio 2 : 7 : 9. The time period for which each of them invested was in a ratio of the reciprocals of the amount invested. Find the share of the partner who bought in the highest capital, if profit is Rs.1080.

A. Rs.540
B. Rs.360
C. Rs.420
D. Rs.720

6. A person invests Rs.14340 in stocks when they are at Rs. and sells when they are at Rs.93.25. What is his gain?

A. Rs.450
B. Rs.380
C. Rs.580
D. Rs.490

7. A person possesses Rs.3200 stock at 3%. He sells all the stocks at Rs. per share. He invests the proceeds in railway shares at Rs.56 per share, which pays per share 5% interest on Rs.45 (face value) as same price. How much is his income altered by the transaction?

A. Rs.25.50
B. Rs.32.25
C. Rs.20.32
D. Rs.28.75

8. A person sells Rs.5000 of 3% stock and buys 3.5% stock at Rs.87.5. If the increase in his income is Rs.5, then the price of the 3% stock is
A. Rs.80
B. Rs.82
C. Rs.77.5
D. Rs.78.5

9. The amount of stock of face value Rs. 100 each to be bought @ 3% at Rs. which is sold at Rs. and a profit of Rs.45 is made, is
A. Rs.1800
B. Rs.2000
C. Rs.2200
D. Rs.2500

10. A man invests in a company having face value of shares Rs.25 and pays 9% dividend p.a. The actual rate of return for the man turns out to be 10% on his investment. At what price did he buy the shares?

A.Rs.23.25
B.Rs.22.50
C. Rs.22.75
D. Rs.21.75

Answers

1. D                               6. C

2. A                               7. A

3. C                               8. D

4. C                               9. C

5. B                               10.D

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Aptitute Question SET 4

1. Consider the set Sn = {n, n + 2, n + 4, n + 6, n + 8} where n is a natural number between  101 and 200 (both inclusive).
How many of the 100 possible sets contain a multiple of 7?

A. 71
B. 72
C. 70
D. None of these

2. For a Fibonacci sequence, from the third term onwards, each term in the sequence is the sum of the previous two terms in that sequence. If the difference in squares of seventh and sixth terms of this sequence is 517, what is the tenth term of this sequence?

A. 147
B. 76
C. 123
D. Cannot be determined

3. If x = 2 + 2^(2/3) + 2^(1/3), then the value of x^3 - 6(x^2) + 6x is

A. 4
B. 2
C. -2
D. 0

4. If a, b, c and d are four positive numbers such that their sum is 4, then the maximum value of 

(1 + a)(1 + b)(1 + c)(1 + d) is

A. 0
B. 8
C. 4
D. 16

5. An Alchemist has a few gold coins. During his dream journey, he exchanges some of these gold coins for a few goats. A particular city has three gates with a watchman guarding each of them. If he wants to enter a city, he has to give either gold coins or goats or both to each watchman. To the first watchman, he gives  1/3^rd of his gold coins plus four goats, to the next watchman, he gives 1/3 of the remaining goats plus four coins. To the last watchman, he gives 1/3 of remaining gold coins and four goats. Now he has equal number of goats and coins. If he had 46 goats and coins in all before entering the first gate, find the number of coins he initially had if 1 goat cost him 3 gold coins.

A. 80
B. 120
C. 94
D. 90

6. If x, y, z are natural numbers such that x < y < z and 2^x + 2^y + 2^z = 112, then x + y + z equals

A. 14
B. 15
C. 13
D. 12

7. If r is a rational number and r^r is also a rational number, then which of the following may be true?

 I. r is a negative integer.
II. r is greater than 0 and less than 1. 

III. r is an integer greater than 1.

A. Only I and II
B. Only II and III
C. Only I and III
D. I, II and III

8. A six-digit number begins with 2. If this digit is transferred from that place to the unit's place without changing the order of the other digits, the resulting number will be three times the initial number. Find the digit in the thousand's place of the initial number.

A. 3
B. 4
C. 5
D. 6

Directions for 9 to 10:

Refer to the information given below and answer the questions that follow
h(x) = x + x + x + x + x ....

g(x) =x*x*x*x*x*.......

f(x)  =(((x^x)^x)^x)^x.......

x is a whole number.

9. What is the remainder, when f(x) is divided by 5? (x = 2)

A. 2
B. 3
C. 4
D. None of these

10. What is the remainder, when g(x) is divided by 5? (x = 2)

A. 2
B. 3
C. 4
D. Cannot be determined

Answers

1. A                               6. B

2. C                               7. C

3. B                               8. C

4. D                               9. D

5. D                               10.D

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Aptitude Question Set 3

Aptitude


1.If 2x-y=4 then 6x-3y=?

(a)15
(b)12
(c)18
(d)10

Ans. (b)

2.If x=y=2z and xyz=256 then what is the value of x?
(a)12
(b)8
(c)16
(d)6
Ans. (b)

3. (1/10)¹⁸ - (1/10)²⁰ = ?

(a) 99/10²⁰
(b) 99/10
(c) 0.9
(d) none of these

Ans. (a)

4.Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank

(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these

Ans. (a)

5. Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job?

(a) 8 hrs
(b) 7 1/2 hrs
(c) 7 hrs
(d) 9 hrs

Ans. (b)

6. Find the smallest number in a GP whose sum is 38 and product 1728

(a) 12
(b) 20
(c) 8
(d) none of these

Ans. (c)

7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current?

(a) 1/2 kmph
(b) 7/12 kmph
(c) 5 kmph
(d) none of these

Ans. (b)

8. A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze?

(a) 38.5 sq.m
(b) 155 sq.m
(c) 144 sq.m
(d) 19.25 sq.m

Ans. (a)

9. Mr. Shah decided to walk down the escalator of a tube station. He found   that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins   to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

Ans.46 steps.

10. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

Ans.40 years.

11. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE?

Ans. AE = 10.

12. In the given figure, PA and PB are tangents to the circle at A and B respectively and   the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP   is 9 cm, then what is the length of the chord BC?

Ans. BC = 4 cm.

13.Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.

Ans. 64/2210.

14. A number of cats got together and decided to kill between them 999919   mice. Every cat killed an equal number of mice. Each cat killed more mice   than there were cats. How many cats do you think there were ?

Ans. 991.

15. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?

Ans. x = e2 or e3.

16. The square of a two digit number is divided by half the number. After   36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they   are in reverse order. The ten's place of the original number is equal to twice   the difference between its digits. What is the number?

Ans. 46

17.Can you tender a one rupee note in such a manner that there shall be   total 50 coins but none of them would be 2 paise coins.?

Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins.

18.A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top?


Ans.18 hours.

19. What is the missing number in this series?   8 2 14 6 11 ? 14 6 18 12

Ans. 9

20. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many   kgs. of brand A are needed to make 40kgs. of the mixture?

Ans. Brand A needed is 24kgs



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Aptitude Set 2

1. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

A. 1/4                                        C. 7/15
B. 1/10                                      D. 8/15

Answer: Option D

2. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

A. 9 1/5 Days                              C. 9 3/5 Days
B. 9 2/5 Days                              D. 10 Days

Answer: Option C

3. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A. 12 days                                       B. 15 days
C. 16 days                                       D. 18 days

Answer: Option B

4. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

A. 20 days                                        C. 25 days
B. 22 1/2 Days                                 D. 30 days

Answer: Option B

5. A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be
paid to C?

A. Rs. 375                                          B. Rs. 400
C. Rs. 600                                         D. Rs. 800

Answer: Option B



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Aptitude Set 1

1. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

A.120 metres                                     B.180 metres
C.324 metres                                     D.150 metres

Answer: Option D

2. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

A.45 km/hr                                      B.50 km/hr
C.54 km/hr                                      D.55 km/hr

Answer: Option B

3. The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

A.200 m                                           B.225 m
C.245 m                                            D.250 m

Answer: Option C

4. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A.1 : 3                                               B.3 : 2
C.3 : 4                                               D.None of these

Answer: Option B

5. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

A.120 m                                           B.240 m
C.300 m                                          D.None of these

Answer: Option B

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