IBPS Clerk Prelims 2016-17 Quant Quiz-1

1. 40% of a number when added to the square of the same number, then it is increased to 4040% of itself. What is the actual number ?

A. 120
B. 400
C. 175
D. 40
E. None of these

Sol. Let the number is x.
Then, 40x/100 + x^2 = 4040x/100
x^2 - 40x = 0
Therefore, x = 0, 40

2. A person runs 1/2th of distance at 10 km/hr, the next 2/5th of distance at 8 km/hr and the rest of the distance at 6 km/hr. Find his average speed ?

A. 9
B. 8.67
C. 8.57
D. 8
E. None of these

Sol. Lets assume total distance to be 100 km.
Required Average = 100/[50/10 + 40/8 + 10/6] = 8.57 km/hr

3. A sum was put at simple interest at certain rate for 3 years. Had it been put at 5% higher rate, it would have fetched Rs 108 more. What is the sum ?

A. 360
B. 480
C. 720
D. 960
E. None of these

Sol. Let the sum be S.
108 = S*5*3/100
S = Rs 720.

4. 6 men or 10 women can reap a field in 15 days, then the number of days that 12 men and 5 women will take to reap the same field is :

A. 5
B. 6
C. 8
D. 12
E. None of these

Sol. Number of days = 15/(12/6 + 5/10) = 6 days.

5. X and Y travel the same distance at 9 km/h and 10 km/h. If X takes 20 minutes longer than Y, the distance travelled by each is :

A. 16
B. 20
C. 30
D. 24
E. 28

Sol. Let the distance is d.
d/9 = d/10 + 20/60
Solving, we get, d = 30 km.

6. If the length of a rectangular field is doubled and its breadth is halved(i.e. reduced by 50%). What is percentage change in its area ?

A. 0%
B. 10%
C. 25%
D. 33.33%
E. None of these

Sol. Let the length is 'l' and breadth is 'b'
Area = lb
New arae = 2l*0.5b = lb
Change in area = 0%

7. A dice is thrown twice, what is the probabilty that atleast one of the two throws comes up with number 5 ?

A. 11/36
B. 5/6
C. 15/36
D. 19/37
E. None of these

Sol. No. of ways that none of the dice shows 5 = 5*5 = 25
Total ways = 6*6 = 36
Atleast one of the two throws comes up with the number 5 = 36 - 25 = 11
Required Probability = 11/36.

8. Sahil is 20% less efficient than Karan. If the Karaan can do a piece of work in 24 days. The number of days required by Sahil to complete the same work alone ?

A. 20
B. 30
C. 28.8
D. Can't be determined
E. None of these

Sol. Sahil's efficiency = 4
     Karan's efficiency = 5
Number of days required by Sahil to complete alone = 5*24/4 = 30.

9. If 8 men collected 200 kg of tobacco leaves in 10 hours. How many more(in kg) of tobacco leaves will 12 men collect in 8 hours ?

A. 24 
B. 40
C. 50
D. 100
E. None of these

Sol. Let 12 men collect W kg in 8 hours then
    8*10/200 = 12*8/W
    W = 240
Extra leaves collected by 12 men = 240 - 200 = 40 kg.

10. The average age of 10 boys in a group is 20 yrs, if a new boy is also included, then the new average age of all the students increases by 1 year. The age of new boy is:

A. 21
B. 30
C. 31
D. 32
E. None of these

Sol. Age of new student = 20 + (1+10/1)*1 = 20 + 11 = 31 years. 

For more Updates & Notifications for bank exams like SBI PO, SBI CLERK, IBPS PO, IBPS RRB, IBPS CLERK, IBPS SO, NIACL, SSC CHSL, SSC CGL etc. like our facebook page at :