Aptitude Online Test 7

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Question : 1/25 30 : 00

If 17²⁰⁰ is divided by 18, the remainder is :

A. 17

B. 16

C. 1

D. 2

If 1440.144 = 14.4x , then the value of x is:

A. 0.0144

B. 1.44

C. 14.4

D. 144

Average age of students of an adult school is 40 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students in the school after joining of the new students.

A. 120

B. 240

C. 260

D. 360

Find the smallest number of 6 digits which is exactly divisible by 111.

A. 100011

B. 100022

C. 100033

D. 100044

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

A. 32

B. 48

C. 64

D. 96

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?

A. 43 units

B. 8 units

C. 12 units

D. Data inadequate

At what angle the hands of a clock are inclined at 15 minutes past 5?

A. 58.5°

B. 64°

C. 67.5°

D. 72.5°

Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

A. Rs. 6400

B. Rs. 6500

C. Rs. 7200

D. Rs. 7500

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

A. 2700

B. 2900

C. 3000

D. 3100

20 men complete one-third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days ?

A. 10

B. 12

C. 15

D. 20

If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days ?

A. 1

B. 5

C. 7

D. 49

A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:

A. 10%

B. 10.08%

C. 20%

D. 28%

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

Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?

A. 1 year

B. 2 years

C. 25 years

D. Data inadequate

A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is :

A. 12π cm³

B. 15π cm³

C. 16π cm³

D. 20π cm³

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is :

A. Rs. 1425

B. Rs. 1500

C. Rs. 1537.50

D. Rs. 1576

If a − b = 3 and a² + b² = 29, find the value of ab

A. 10

B. 12

C. 15

D. 18

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

A. 3.6 sec

B. 18 sec

C. 36 sec

D. 72 sec

A retailer buys 40 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit percentage?

A. 14%

B. 12%

C. 11%

D. 10%

The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 0.25%, is:

A. Rs. 108.25

B. Rs. 112.20

C. Rs. 124.75

D. Rs. 125.25

An unbiased die is tossed. Find the probability of getting a multiple of 3.

A. 23

B. 13

C. 16

D. 43

The banker's gain on a bill due 1 year hence at 12% per annum is Rs. 6. The true discount is:

A. Rs. 72

B. Rs. 36

C. Rs. 54

D. Rs. 50

Excluding stoppages, the speed of the bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour.

A. 10 min

B. 11 min

C. 12 min

D. None of these

A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

A. 65 sec

B. 89 sec

C. 100 sec

D. 150 sec

A man's speed with the current is 15 kmph and the speed of the current is 2.5 kmph. The man's speed against the current is :

A. 8.5 kmph

B. 9 kmph

C. 10 kmph

D. 12.5 kmph

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Aptitude Online Test 7

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