# Quantitative Aptitude Practice set -6 with solution

1. Sourav took a loan at simple interest rate of 6 p.c.p.a. in the first year and it necessary by 1.5 p.c.p.a. every year. If he pays ₹ 8,190 as interest at the end of 3 years, what was his loan amount?

A. ₹ 35,400

B. ₹ 36,800

C. ₹ 36,000

D. Cannot determined

E. None of these

**Correct Answer: E **

2. Which of the following fractions are in descending order?

A. 5/12, 2/7, 3/11, 2/9, 1/5

B. 5/12, 3/11, 2/7, 2/9, 1/5

C. 2/7, 2/9, 3/11, 1/5, 5/12

D. 1/5, 2/9, 3/11, 2/7, 5/12

E. None of these.

**Correct Answer: A**

3. Which of the following represents ab =64?

A. a : 8 = b : 8

B. 8 : a = 8 : b

C. a : 16 = b : 4

D. 32 : a = b : 2

E. None of these

**Correct Answer: D**

4. A train speeds past a pole in 20 seconds and speeds past a platform 100 meters in length in 30 seconds. What is the length of the train?

A. 200 metre

B. 150 metre

C. 100 metre

D. 180 metre

E. None of these

**Correct Answer: A**

5. In how many different ways can the letters of the word AWARE be arranged?

A. 120

B. 150

C. 60

D. 40

E. None of these

**Correct Answer: C**

6. Radha’s present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj’s present age and Radha’s present age is 4 : 9. What will be Raj’s age after 5 years?

A. 7 years

B. 12 years

C. 21 years

D. Cannot be determined

E. None of these

**Correct Answer: E **

**Direction (7 – 10): **In the following question two equations numbered I and II are given. You have to solve both the equations and

**Give answer (A) **if x > y

**Give answer (B) **if x ≥ y

**Give answer (C) **if x < y

**Give answer (D) **if x ≤ y

**Give answer (E) **if x = y or the relationship cannot be established.

7. I. x^{2} – x – 12 =0

II. y^{2} + 5y + 6 =0

**Correct Answer: B**

8. I. x – √121 = 0

II. y^{2}– 121 = 0

**Correct Answer: E **

9. I. x^{2} – 16 = 0

II. y^{2} – 9y + 20 =0

**Correct Answer: D**

10. I. x^{2} – 8x + 15 = 0

II.y^{2} -3y + 2 =0

**Correct Answer: A**

**Solution**

1.Let the loan amount ₹ x.

8190 =(x × 6 × 1)/100 + (x × 7.5 × 1)/100 +( x × 9×1)/100

Or, 22.5x/100 = 8190

X= 36400.

4. Let the length of train is x metre.

Speed of train/20 = (x + 100)/30

3x = 2x + 200

X = 200

5. The word AWARE consists of 5 letters in which letter A comes twice.

Number of arrangements = 5! / 2! =(5 x 4x 3x 2x 1)/(2 x 1) = 60

6. Let Radha’s present age x years.

x = 2 (x – 12) – 3

x = 2x – 24 -3

x = 27

Raj’s present age = 4/9 x 27

= 12 years

Raj’s age after 5 years = (12 + 5)

= 17 years

7. I. x^{2} – x-12 =0

x^{2}– 4x + 3x-12 =0

x (x -4) +3 (x-4)=0

x =4 or -3

II. y^{2} + 5y + 6 =0

y^{2} +3y +2y+6=0

y (y+3)+2(y+3) =0

(y+3) (y+2) = 0

Y = -3 or y =-2

Clearly, x ≥y

8. I. x – √121 = 0

x = √121

x = ±11

II. y^{2}– 121 = 0

y = ±11

9. I. x^{2} – 16 = 0

x= ±4

II. y^{2} – 9y + 20 =0

y^{2} – 4y -5y + 20 =0

y(y-4) -5(y-4) =0

(y-5) (y-4) = 0

y = 5 or 4

Clearly x ≤ y

10. I. x^{2} – 8x + 15 = 0

x^{2}–5x -3x +15 = 0

x (x-5) -3 (x-5) =0

x =3 or 5

II. y^{2} -3y + 2 =0

y^{2} -2y-y +2 =0

y(y-2) -1(y-2) =0

(y-1) (y-2)

y= 1 or 2

Clearly, x > y