Quant Quiz

Directions: Each of the questions given below consists of a question and two or three statements numbered (A), (B) and (C). You have to decide whether the data provided in the statements are sufficient to answer the questions. Read all the statements and give answer:

1. What is the present age of Monika?

(A) Monika's present age is 2/11th of her father's age.

(B) Monika is older than her sister by 6 years.

(C) After four years, Monika's age will be 1/4th of her father's at that time.

1) Both (A) and (C) 

2) Both (A) and (B) 

3) Both (B) and (C) 

4) All (A), (B) and (C) 

5) Only (B)

2. What is the area of the given right angle triangle?

(A) The length of hypotenuse is 13 cm.

(B) Perimeter of triangle is 8 times of its base.

(C) One of the angles of triangle is 60°.

1) Both (B) and (C) 

2) Only (B) 

3) Only (C) 

4) All (A), (B) and (C) 

5) Both (A) and (C)

3. In what time will the leak empty the full vessel?

(A) A pipe can fill the vessel in 16 hrs.

(B) It takes 24 hrs to fill the vessel due to a leak in the bottom.

(C) The capacity of vessel is 840 liters.

1) Both (B) and (C) 

2) Both (A) and (C) 

3) Both (A) and (B) 

4) None 

5) Only (B)

4. In how many days will five men complete a task?

(A) Two men, five children and three women can together complete the task in ten days.

(B) Six women complete the task in 16 days.

(C) Four men can complete the task in 15 days.

1) Only (C) 

2) Only (A) 

3) Both (A) and (C) 

4) Both (B) and (C) 

5) All (A), (B) and (C)

5. What is the age of teacher?

(A) There are 14 students in a class.

(B) The average age of students and teacher is 16 years.

(C) The average of 14 students is 3 less than the average age of 14 students and teacher.

1) Both (A) and (B) 

2) All (A), (B) and (C) 

3) Both (B) and (C) 

4) Both (A) and (C) 

5) None

6. The average height of 18 girls is 117 13/18 cms. The average height of 21 boys is 104 13/21 cms. What is the overall average height of all the students together in the class?

1) 110 2/3 cm

2) 111 2/3 cm

3) 112 1/3 cm

4) 110 1/3 cm

5) 109 4/3 cm

7. Two candles of the same height are lighted at the same time. The first is consumed in 6 hours and the second in 4 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted, was the first candle was twice the height of the second?

1) 3.5 hrs 

2) 2 hrs 

3) 4 hrs 

4) 3 hrs 

5) 2.5 hrs

8. Three friends Anil, Ravi and Sumit jog around a circular park and complete round in 21, 18 and 24 minutes respectively. In how many hrs will all the three meet again at starting point?

1) 8 hrs 

2) 8.4 hrs 

3) 6.5 hrs 

4) 7.5 hrs 

5) 9 hrs

9. The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Pooja's present age?

1) 36 years 

2) 40 years 

3) 58 years 

4) 48 years 

5) 42 years

10. P and Q enter into a partnership investing Rs. 24000 and Rs. 32000 respectively. After 8 months, R also joins the business with capital of Rs. 30000. The share of R in a profit of Rs. 91200 after 2 years will be:

1) Rs. 20000 

2) Rs. 28000 

3) Rs. 36000 

4) Rs. 24000 

5) Rs. 22000

Answers:

1. 1

From statement A;

Fathers present age = x years

Monika’s present age = 2/11 x

From statement C and A

2/11x + 4 = 1/4(x+4)

x/4 - 2x/11 = 3

x = 44years

Monika Age = 8 years

2. 5 

From statement A & C

P/h = sin 60

h = 13cm

P = 13 * sqroot(3)/2

b/h = cos 60

b = 13/2

Area of triangle = 1/3 * 13/2 sqroot(3) * 13/2 = 169/12 sqroot(3) cm^2

3. 3

From statement A & B

Part of vessel filled in 1 hr = 1/16

Part of vessel filled by (pipe + leak) in 1 hour = 1/24

Part of vessel emptied by leak in 1 hour

= 1/24 - 1/16 = -1/48

4. 1

From statement C

M1D1 = M2D2

4 * 15 = 5 * D2

D2 = 12 days

5. 2

From all A, B and C

Total age of 14 students and teacher is

= 15 × 16 = 240 years

Age of teacher = 240 – 14 × 13 = 58 years

6. 1

Average height of the class

= {18 (117 * 18 + 13)/18 + 21 (104 * 21 + 13)/21}/(18 + 21)

= (2119 + 2197)/ 39 = 332/3 = 110 2/3cm

7. 4

Required answer = {6 * 4(2-1)}/{2*6-4} = 24/(12 - 4) = 24/8 = 3 hrs

8. 2

Required time = LCM of 21, 18, 24 min = 504 mins = 8.4 hrs

9. 5

Let the present age of Nayan and Pooja be 18x and 17x respectively

(18x - 9)/(17x - 9) = 15/14

252x – 126 = 255x – 135

3x = 9 

x = 3

Leena’s present age = 17× 3 – 9 = 42 years

10. 4

Ratio of profit P, Q and R

= 24000 × 24 : 32000 × 24 : 30000 × 16 = 6 : 8 : 5

Share of R = 5/19 × 91200 = Rs. 24000