Most Important Arithmetic Reasoning Questions For SSC CGL

Q-15. The number of students increases every year in college. Find out the number of student in 2010 from the following details :
Year 2005 2006 2007 2008 2009 2010
Stud    20    23     29      38    50     ?
(A) 70
(B) 75
(C) 55
(D) 65

View Answer and Solution 

Answer: (D) 65
Solution:
+3,+6,+9 and so on.
So 50+15 = 65

Q-16. There are twelve dozen apples in a basket. Two dozen are added later. Ten apples got spoiled and were removed. The remaining apples are shared equally into two baskets. How many are there in each?
(A) 168
(B)158
(C) 79
(D) 89

View Answer and Solution 

Answer: (C) 79
Solution:
Total number of apples
= 14 x 12 = 168
Ten apple were removed
Remaining apples
= 168 - 10 = 158
Now, 158/2 = 79

Q-17. Amar uses a Maruti Van and Anthony a Racing Car from Mumbai to Pune. The Maruti Van has a speed of 120 km and the Racing Car of 210 km per hour. Find the distance between two cars, After driving for 12 minutes ?
(A) 20km
(B) 18km
(C) 15km
(D) 16km

View Answer and Solution 

Answer: (B) 18km
Solution:
Amar traveled 
= \frac{120}{60} x 12
= 24 km in 12 minutes
Anthony traveled 
= \frac{210}{60} x 12
= 42 km in 12 minutes
Difference of distance
= 42 - 24 = 18 km

Q-18.  If the speed of a leopard is 92.4 km/h,  how many meters can a leopard cover it in 20 minutes?
(A) 30,800 m.
(B) 32,800 m.
(C) 38,200 m.
(D) 38.000 m.

View Answer and Solution 

Answer: (A) 30,800 m.
Solution:
Speed of the leopard = 92.4 km/h
= \frac{92.4 X 100}{60}  meters per minute
= 1540 meters per minute 
= \frac{92.4 X 100}{60}  Distance Covered in 20 min 
= 30800 meters

Q-19. KSRTC bus left Bangalore for Turnkur at an average speed of 50 km/hr. An hour later a Auto Driver left the same station and followed the bus at an average speed of 75 km/hr. Find the distance from Bangalore when a car will overtake the bus?
(A) 200 km
(B) 100 km
(C) 150km
(D) 175km

View Answer and Solution 

Answer: (C) 150km
Solution:
Bus will cover 150 km in 3 hours. while car cover in 2 hour.

Q-20. In a railway platform, train ‘A’ 225 m long which is in a rest position to allow train ‘B’ which is 375m long to pass train ‘A’. Speed of train ‘B’ is 90 km per hour, find the time taken by train ‘B’ to cross the train ‘A’ completely
(A) 6.67 sec
(B) 9 sec
(C) 2.5 sec
(D) 24 sec

View Answer and Solution 

Answer: (D) 24 sec
Solution: 
Time taken by train B to cross the standing train A will be equal to time taken by the train B to cover a total distance of (225+375) meters.
t = \frac{225+375}{V}  
Speed of train B
=  90 x\frac{5}{18} = 25m per second 
=  \frac{600}{25}  24 second 

Q-21. Including stoppages the speed of a car is 45 km/hr and Excluding stoppages, the speed of a car is 54 km/hr. Find How many minutes does the car stop per hour ?
(A) 9
(B) 10
(C) 12
(D) 20

View Answer and Solution 
 
Answer: (B) 10 
Solution: 
Relative speed 
= (54-45) km/hr = 9 km/hr
Stoppage per hour
=\frac{9}{54} x 60  = 10 minutes

Q-22. If 9 boys walk 9 km in 9 days. so, find the days for 3 boys If they walk 10 km? (A) 1 days (B) 3 days (C) 6 days (D) 10 days

View Answer and Solution 

Answer: (D) 10 days
Solution:
9 boys walk 9 km in 9 days
So 1 boy walk 1 km in 1 day
As same as 3 boys walk 10 km distance in 10 day

Q-23.  Sonam and Rupali have two glasses of equal volume. Both have some juice in their glasses. Sonam says to Rupali. “Give me half  the juice from your glass so that my glass will be full of juice”. Rupali says to Sonam. “Instead you will give me ¼ the juice from your glass so that my glass will be full of juice”. If they shared juice each other, Then Find the volume of juice in the form of ratio.
(A) 2 : 4
(B) 8 : 6
(C) 4 : 3
(D) 2 : 3

View Answer and Solution 

Answer: (D) 2 : 3
Solution: 

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