Quant Quiz For SSC Exam

1.    A man rows 20 km downstream and 16 km upstream taking 4 hours each time. What is the speed of current?
(a) 0.4 kmph
(b) 0.5 kmph
(c) 0.6 kmph
(d) 0.1 kmph

2.    On selling an item for Rs 20 a man gains 25%. In order to gain 40% what will be the increase in it’s selling price.
(a) Rs 3.40
(b) Rs 3 
(c) Rs 2.62
(d) Rs 2.40

3.    The sum of money that will give Rs 2 as simple interest per day at the rate of 8% per annum is
(a) Rs 9125
(b) Rs 7236
(c) Rs 6382
(d) Rs 9262

4.    X can do a piece of work in 20 days and Y can do it in 10 days. They started together, but after 6 days X leaves off. Y will do the rest work in
(a) 1 day 
(b) 2 days
(c) 7/3 days
(d) 3 days

5.    A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?
(a) 19/3%  gain
(b) 17/3% loss
(c) 17% gain
(d) 20/9% loss

6.    In an exam, 60% of the total student passed. If the number of failed students is 320 then the total number of students is
(a) 600 
(b) 700 
(c) 800 
(d) 900 

7.    A cycle is bought for Rs 840 and sold at Rs 920. What is the percentage gain
(a) 10.50%
(b) 8.52%
(c) 7.35%
(d) 9.52%

8.    If Raj’s salary is 30% more than Amar’s salary, the how many percent is Amar’s salary less than that of Raj’s?
(a) 56% 
(b) 23.07%
(c) 50/3%
(d) 50.6%

9.     Find the number of ways in which 5 different beads can be arranged to form a necklace.
(a) 120 
(b) 60 
(c) 30 
(d) 12 

10.  A card is drawn from a pack of playing cards, what is the probability of getting either a red or a red queen?
(a) 4/13  
(b) 7/13 
(c) 1/13 
(d) 1/26 

ANSWERS WITH EXPLNATION :
1. (b)
Speed downstream = 20/4 = 5 kmph
Speed upstream = 16/4 = 4 kmph
Speed of current = 1/2 * (5-4)= 0.5 kmph

2. (d)
SP = 20, gain = 25%
CP = 100/125 * 20 = Rs 16
Now, CP = 16, gain = 40%
SP =  140/100 * 16 = 22.40
Increase = 22.4 – 20 = 2.4

3. (a)
Annual intetest = Rs 365 × 2 = Rs 730
Rate = 8%
Sum = (100 * 730)/8 = Rs 9125

4. (a)
(X + Y)’s 6 days’ work = 6 * (1/20 + 1/10) = 9/10
Remaining work = 1 - 9/10 = 1/10
1/10 work is done 2y Y in 10 * 1/10 = 1 day

5. (d)
Let the CP is Rs x.
Then, x * 110/100  = 990
x = 900
Now CP is Rs 900 and SP is 880.
% loss =  20/900 * 100 = 20/9%

6. (c)
Let the number of student is x out of that 40% have failed.
40/100 * x = 320
x = 320 * 100/40 = 800

7. (d)
CP = Rs 840 and SP = Rs 920
Gain = 920 – 840 = Rs 80
gain percentage = 80/840 * 100 = 9.52%

8. (b);
Amar’s salary is less than of Raj 2y
(R/100 + R * 100)% = (30/(100 + 30) * 100)%
(30/130 *100 )% = 300/13% = 23% APPROX

9. (d)
According to formula:  
Number of arrangements = (5-1)!/2 = 12

10. (b)
26/52 + 2/52 = 28/52 = 7/13