Quant Quiz For SSC Mains And SSC CHSL Exam

1. A car runs along the four sides of a square field at the speed of 20 km/hr, 30 km/hr, 40 km/hr and 60 km/hr. Find the average speed (in km/hr) of the car around the field.

(A) 32

(B) 34

(C) 38

(D) 42

2. If 8 men or 12 boys can do a piece of work in 16 days, the number of days required to complete the work by 20 men and 6 boys?

(A) 5 1/3 

(B) 3 1/2

(C) 8 1/3

(D) 7 1/3

3. A and B together can do a piece of work in 12 days which B and C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes it in 13 days. In how many days B could finish the work?

(A) 48 days

(B) 24 days

(C) 16 days

(D) 12 days

4. A ruby stone was bought for Rs.1600 at Jaipur. A sum of Rs.2400 was spent on making a ring with the ruby stone. It was advertised for sale of Bombay for Rs.7800. If a discount of 10% was given, then the percentage profit made was:

(A) 55%

(B) 68.5%

(C) 75.5%

(D) 80%

5. A person bought 76 cows and sold 20 cows at 15% profit, 40 cows at 19% profit and remaining 16 cows at 25% profit and got a profit of Rs.6570 as a whole. The cost price of each cow is:

(A) Rs.450

(B) Rs.425

(C) Rs.420

(D) Rs.400

6. A cyclist in a fog passed a man running at the rate of 6 km/hr in the same direction. He could see the cyclist for 5 minutes and it was visible to him up to a distance of 100 metres. What was the speed of the 100 metres. What was the speed of the cyclist?

(A) 7.2 km/hr

(B) 6 km/hr

(C) 9 km/hr

(D) None of these

7. Two pipes can separately fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full a leak develops in the tank through which 1/3 of the water supplied by both the pipes leak out. What is the total time taken to fill the tank?

(A) 12 h

(B) 16 h

(C) 18 h

(D) 15 h

8. A person sells his table at a profit of 12.5% and the chair at a loss of 8(1/3)% but on the whole he gains Rs.25. On the other hand if he sells the table at a loss of 8(1/3)% and the chair at a profit of 12.5% then he neither gains nor loses. Find the cost price of the table.

(A) Rs. 300

(B) Rs.360

(C) Rs.540

(D) Rs.400

9. A train after travelling 50 km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late. Had the accident occurred 24 km further, it would have reached the destination only 25 minutes late. Find the total distance of travelling.

(A) 134 km

(B) 124 km

(C) 96 km

(D) 120 km

10. The speed of the current is 4 km/hr. A boat goes 10 km upstream and come back to the starting point in 80 min. What is the speed of the boat in still water?

(A) 20 km/hr

(B) 16 km/hr

(C) 18 km/hr

(D) 22 km/hr

ANSWERS KEY:
1- (A)
SPPED     TIME
20              6
30             4    LCM = 120
40             3
60            2
               =15 hours
Average speed = 120*4/15 = 32 km/hr
2- (A)
3- (A)
4- (C)
cost price of Rubi stone = Rs.1600
cost price of Ring = Rs.2400
Actual cost price = Rs. 4000
Selling price = (7800*90/100)= 7020
profit percent = (7020-4000)/4000 * 100=75.5%
5- (A)
Let the cost price of cow = 100
so, overall profit
= (20*15+40*19+16*25) = 1460
If total price is 1460 then cost price =100
if profit is 6570 then cost price = 100/1460 *6570 = 450
6- (A)
7- (B)
8- (B)
9- (A)
10- (B)

1.
4*120/(6+4+3+2)=32
2.
2m=3b
(20m+6b)*x=12b*16
x= 5 1/3
3.
1/a+1/b =1/12
1/b+1/c =1/16
5/a +7/b +13/c =1
5/12+13/16-1=11/b
b=48 days
4.
(7800*.9-4000)*100/4000=75.5%
5.
20*1.15x+40*1.19x+16*1.25x-76x=6570
X=450
6.
Relative speed = 0.1/(5/60) =1.2
1.2+6 =7.2 speed of cyclist
7.
Both can fill in 12 hrs ..
So leakage can empty in 36 hrs
x(1/20+1/30 -1/36) =2/3
x=12 hrs
Total time
12+12/3=16 hrs
8.
let's say chair costs x₹ and table for y₹
Y(1+1/8) +X(1-1/12)= X+Y+25
3Y-2X=600
AND
Y(1-1/12)+X(1+1/8)=X+Y
3X=2Y
by solving these two equations ...
Y=360
9.
50/x +(D-50)4/3x=D/x +7/12
(D-50)4/3x=7/12
Similarly
(D-74)4/3x=5/12
Divide these two..
D=134 km
10.
10/(b-4)+10/(b+4)=4/3
b=16