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Rajeev’s present age is three times his daughter’s present age and 9/13 of his mother’s present age. The sum of their ages after six years is 118 years. What is the difference between the present ages of Rajeev’s daughter and Rajeev’s mother?

Correct

Answer : 1. 40 years
Solution:
Present age of R+D+M = 118-18 = 100
D = R/3; M = 13R/9
R (1+1/3+13/9) = 100
R =36; D = 12; M =52
M-D = 52-12 =40

Incorrect

Answer : 1. 40 years
Solution:
Present age of R+D+M = 118-18 = 100
D = R/3; M = 13R/9
R (1+1/3+13/9) = 100
R =36; D = 12; M =52
M-D = 52-12 =40

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

The average expenditure of the hostel when there are 19 students is Rs. 54 per student and the average expenditure is Rs. 45 when there are 38 students. If it is known that there are some fixed expenses irrespective of the number of students then the average expenditure per student when there are 57 students in the hostel

Correct

Answer : 3. Rs. 42
Solution:
Let fixed charges be F and D be daily charges
(F+D)/19 = 54; F+D = 1026
(F+2D)/38 = 45; F+2D = 1710
D = 684; F=342
For 57 students
(F+3D)/57 = (342+3*684)/57 = 42

Incorrect

Answer : 3. Rs. 42
Solution:
Let fixed charges be F and D be daily charges
(F+D)/19 = 54; F+D = 1026
(F+2D)/38 = 45; F+2D = 1710
D = 684; F=342
For 57 students
(F+3D)/57 = (342+3*684)/57 = 42

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

A, B, C started a business with their investments in the ratio 1:2:5. After some months A invested the half amount more as before, while C withdraw 3/5 th of his investment. If the ratio of their profits at the end of year is 5:8:14 then after how many months A has invested while C has withdrawn?

Correct

Answer : 3. 6 Months
Solution:
A: B: C = 1:2:5
Investments be x, 2x, and 5x
(x*n)+ (1.5x)*(12-n) : 2x*12 : (5x*n)+2x*(12-n) = 5:8:14
n = 6 months

Incorrect

Answer : 3. 6 Months
Solution:
A: B: C = 1:2:5
Investments be x, 2x, and 5x
(x*n)+ (1.5x)*(12-n) : 2x*12 : (5x*n)+2x*(12-n) = 5:8:14
n = 6 months

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

A tank has to filled with three pipes. The first two pipes working simultaneously fill the tank in same time as the third pipe alone. The second pipe alone fills the tank 10 hours faster than first pipe and 8 hours slower than the third pipe. In what time second and third pipe together fill the tank?

A works twice as fast as B, whereas A and B together can work three times as fast as B. If A, B and C together work on a job, what would be the share of A in a total earnings of Rs. 444?

Correct

Answer : 3. 222
Solution:
ratio will be 2:1:1
share = 444*2/4 = 222

Incorrect

Answer : 3. 222
Solution:
ratio will be 2:1:1
share = 444*2/4 = 222

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

Suresh who is running at 36 km/hr can cover how many meters of distance in 20 sec ?

Correct

Answer : 2. 200 m

Incorrect

Answer : 2. 200 m

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

I. X²-√3 (4+√6) X +12√6= 0 II. Y² +√3 (8-√6) Y -24√6 =0

Correct

Answer : 3. X ≥ Y
X = 4√3, 3√2
Y = 3√2, -8√3

Incorrect

Answer : 3. X ≥ Y
X = 4√3, 3√2
Y = 3√2, -8√3

Question 10 of 10

10. Question

1 points

Category: Quantitative Aptitude

I.56X²-37√2X + 12 = 0
II.45Y²– 47√2Y+24 =0

Correct

Answer : 2. X <Y
Solution:
X = 2√2/7, 3√2/8
Y = 4√2/9, 3√2/5

Incorrect

Answer : 2. X <Y
Solution:
X = 2√2/7, 3√2/8
Y = 4√2/9, 3√2/5

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