Arithmetic Reasoning Questions And Answers

Q-11. A bus left with some definite number of passengers. At the first stop, half of the passen- gers left the bus and 35 boarded the bus. At the second stop 1 / 5 of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping anywhere. How many passengers were there originally?

(a) 25 (b) 30
(c) 40 (d) 50

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose there were F passengers initially
Number of passengers after first stop
=  \frac{F}{2}  + 35
Number of passengers after second stop
=\frac{4}{5}\left ( \frac{F}{2}+35 \right )+40 = 80 
 \frac{F}{2}+35 = \frac{(80-40)}{4}X 5
 \frac{F}{2}= 50 - 35 
F = 30

Q-12. Some equations are based on the basis of a certain system. Using the same pattern solve the unsolved equation.
If 10 – 3 = 12, 12 – 4 = 13, 14 – 5 = 14, what is 16 – 6 = ?

(a) 10 (b) 15
(c) 16 (d) 18

View Answer and Solution 
  
Answer: (b)
Solution:
10 - 3 = 7; 7 + 5 = 12
12 - 4= 8; 8 + 5= 13
14 - 5= 9; 9 + 5= 14
16 - 6= 10; 10+ 5 = 15

Q-13. Some questions are solved on the basis of a certain system. Identify that operation and find out the correct answer from the four response given.
a = 14 (290) 15,
b = 16 (330) 17,
c = 18 (?) 19

(a) 300 (b) 270
(c) 170 (d) 370

View Answer and Solution 
  
Answer: (b)
Solution:
a = (14+ 15) × 10
= 29 × 10 = 290
b =(16+17) × 10
= 33 × 10 = 330
Therefore,
c = (18+19) × 10 = 37 × 10
= 370

Q-14. Some equations are solved on the basis of certain system. Determine the correct answer for the unsolvable equation using the given equations.

a = 12 (390) 8,
b = 7 (134) 5,
c = 5 (?) 12

(a) 299 (b) 289
(c) 279 (d) 280

View Answer and Solution 
  
Answer: (c)
Solution:
a = 12 (390) 8
⇒12+8= 20;
⇒20 × 20 - 10 =390
b = 7 (134) 5 = 7+5=12;
⇒12 × 12 - 10 = 134
c = 5 (?) + 12 = 17;
⇒ 5+12 = 17
⇒ 17 × 17 - 10
= 289 - 10 = 279

Q-15. Naresh’s age is 4 years less than twice the age of his brother. Which of the following represents the equation to find his age?

(a) 2F + 4 (b) 4F + 4
(c) F – 4 (d) 2F – 4

View Answer and Solution 
  
Answer: (d)
Solution:
Suppose the age of Naresh's brother = F years
∴ Age of Naresh = 2F - 4