Tier 1 - Quantitative Aptitude

Question 1

A shopkeeper marks his goods 40% above cost price and gives a discount of 20% on the marked price. What is his profit percentage?

A. 10%

B. 12%

C. 15%

D. 20%

Question 2

The average of five consecutive odd numbers is 27. What is the largest of these numbers?

A. 29

B. 31

C. 33

D. 35

Question 3

A train 180 metres long crosses a pole in 12 seconds. What is its speed in km/h?

A. 48

B. 54

C. 60

D. 72

Question 4

The ratio of the ages of A and B is 3 : 5. After 8 years, the ratio becomes 2 : 3. What is the present age of B?

A. 36

B. 40

C. 45

D. 48

Question 5

A sum of Rs. 8,000 is invested at 10% per annum compound interest for 2 years. Find the compound interest.

A. Rs. 1,600

B. Rs. 1,680

C. Rs. 1,720

D. Rs. 1,760

Question 6

If the diameter of a circle is doubled, its area becomes:

A. Doubled

B. Tripled

C. Four times

D. Same

Question 7

Pipe A can fill a tank in 12 hours and pipe B in 18 hours. If both pipes are opened together, in how many hours will the tank be filled?

A. 6.5 hours

B. 7.2 hours

C. 7.5 hours

D. 8 hours

Question 8

The HCF and LCM of two numbers are 8 and 96 respectively. If one of the numbers is 24, what is the other number?

A. 16

B. 24

C. 32

D. 48

Question 9

If a : b = 2 : 3 and b : c = 4 : 5, then a : b : c is:

A. 6 : 8 : 15

B. 8 : 12 : 15

C. 8 : 15 : 12

D. 2 : 3 : 5

Question 10

The value of sin^2 30 degrees + cos^2 30 degrees is:

A. 0

B. 1/2

C. 1

D. sqrt(3)/2

Question 11

A man sold two horses for Rs. 12,000 each. On one he gains 20% and on the other he loses 20%. His overall gain or loss percent is:

A. No loss no gain

B. 4% gain

C. 4% loss

D. 8% loss

Question 12

If 25% of a number is 75, what is 60% of that number?

A. 150

B. 160

C. 170

D. 180

Question 13

The simple interest on Rs. 5,000 for 3 years at 8% per annum is:

A. Rs. 1,000

B. Rs. 1,200

C. Rs. 1,400

D. Rs. 1,600

Question 14

A and B can complete a work in 10 days and 15 days respectively. If both work together, in how many days will they finish the work?

A. 5 days

B. 6 days

C. 7 days

D. 8 days

Question 15

The perimeter of a rectangle is 60 cm and its length is twice its breadth. What is its area?

A. 180 sq cm

B. 200 sq cm

C. 220 sq cm

D. 240 sq cm

Question 16

If x + 1/x = 3, then the value of x^2 + 1/x^2 is:

A. 7

B. 8

C. 9

D. 11

Question 17

The average of 10 numbers is 40. If one number is excluded, the average becomes 38. What is the excluded number?

A. 56

B. 58

C. 60

D. 62

Question 18

A boat can travel 30 km downstream in 2 hours and the same distance upstream in 3 hours. What is the speed of the current?

A. 2.5 km/h

B. 3 km/h

C. 3.5 km/h

D. 4 km/h

Question 19

If the cost price of 12 pens is equal to the selling price of 10 pens, what is the profit percentage?

A. 15%

B. 18%

C. 20%

D. 25%

Question 20

The angles of a triangle are in the ratio 1 : 2 : 3. What is the smallest angle?

A. 30 degrees

B. 45 degrees

C. 60 degrees

D. 90 degrees

Question 21

A number when divided by 5 gives a remainder of 3. What is the remainder when the square of the same number is divided by 5?

A. 1

B. 2

C. 3

D. 4

Question 22

The average of first 20 natural numbers is:

A. 9.5

B. 10

C. 10.5