Aptitude Online Test 2

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Question : 1/25 30 : 00

If x = √3 + 1√3 − 1 and y = √3 − 1√3 + 1, then the value of (x² + y²) is :

A. 10

B. 13

C. 14

D. 15

Which of the following statements is not correct?

A. log₁₀ 10 = 1

B. log (2 + 3) = log (2 x 3)

C. log₁₀ 1 = 0

D. log (1 + 2 + 3) = log 1 + log 2 + log 3

The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.

A. 72

B. 73

C. 75

D. 78

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A. 1677

B. 1683

C. 2523

D. 3363

What is the probability of getting a sum 9 from two throws of a dice ?

A. 16

B. 18

C. 19

D. 112

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

A. 22.75 m

B. 25 m

C. 19.5 m

D. None of these

A single discount equivalent to successive discounts of 30%, 20% and 10% is :

A. 50%

B. 51%

C. 49.4%

D. 49.6%

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was :

A. Rs. 2000

B. Rs. 10,000

C. Rs. 15,000

D. Rs. 20,000

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

A. 23 years

B. 24 years

C. 25 years

D. None of these

The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.

A. 20 cm

B. 21 cm

C. 24 cm

D. 28 cm

A train running at 54 kmph takes 20 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 6 kmph in the same direction in which the train is going. Find the length of the train.

A. 120 m

B. 140 m

C. 150 m

D. 160 m

In an examination , 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects, find the total number of students.

A. 400

B. 420

C. 450

D. 500

Some months have 30 days, some months have 31 days. How many months have 28 days?

A. 2

B. 6

C. 1

D. 12

A man can row upstream at 7 kmph and downstream at 10 kmph. Find the rate of current.

A. 1.5 kmph

B. 2.5 kmph

C. 1.6 kmph

D. 1.7 kmph

An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o' clock in the afternoon?

A. 144°

B. 150°

C. 168°

D. 180°

An observer 1.6 m tall is 20√3m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is:

A. 21.6 m

B. 23.2 m

C. 24.72 m

D. None of these

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

A. 18 litres

B. 24 litres

C. 32 litres

D. 42 litres

Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

A. 15 days

B. 16 days

C. 18 days

D. 25 days

If Rs. 10 be allowed as true discount on a bill of Rs. 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is:

A. Rs. 20

B. Rs. 21.81

C. Rs. 22

D. Rs. 18.33

One year ago, the ratio of Gaurav's and Sachin's age was 6 : 7 respectively. Four years hence, this ratio would become 7 : 8. How old is Sachin ?

A. 36 years

B. 37 years

C. 38 years

D. 39 years

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is:

A. 4

B. 9

C. 12

D. 49

If the radius of a sphere is increased by 50%, find the increase percent in volume.

A. 227.5%

B. 235.5%

C. 237.5%

D. 257.5%

Four milkmen rented a field. A grazed 18 cows for 4 months, B 25 cows for 2 months, C 28 cows for 5 months and D 21 cows for 3 months. If A's share of rent is Rs. 360, the total rent of the field is:

A. Rs. 1500

B. Rs. 1600

C. Rs. 1625

D. Rs. 1650

If 18 binders bind 9000 books in 10 days, how many binders will be required to bind 6600 books in 12 days ?

A. 55

B. 14

C. 13

D. 11

How many digits are required for numbering the pages of a book having 300 pages?

A. 299

B. 492

C. 789

D. 792

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Aptitude Online Test 2

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