Arithmetical Reasoning Questions For Competitive Exam

Q-26. Forecast the Growth Rate for the years 1995 from the following data:

(a) 7.8 (b) 8.6
(c) 9.7 (d) 9.9

View Answer and Solution 
  
Answer: (c)
Solution:
3.5 + 0.2 = 3.7
3.7 + 0.4 = 4.1
4.1 + 0.8 = 4.9
4.9 + 1.6 = 6.5
6.5+ 3.2 = 9.7

Q-27. In a group of equal number of cows and herdsmen the number of legs was 28 less than four times the number of heads. The number of herd- smen was

(a) 7 (b) 28
(c) 21 (d) 14

View Answer and Solution 
  
Answer: (d)
Solution:
Suppose the number of cows = F
Therefore, the number of herdsmen = 2F
According to question,
4 x 2F - 28 = F x 2 + F x 4
8F - 28 = 2F + 4F
8F - 6F = 28
2F = 28
F = 14

Q-28.
If 16÷ 4 = 74
21÷ 7 = 33
81÷ 9 = 99
then 55 ÷ 5 = ?

(a) 110 (b) 1001
(c) 11 (d) 1011

View Answer and Solution 
  
Answer: (d)
Solution:
16÷ 4 = 74
1+ 6 = 7
16/4 = 4
-----------
21÷ 7 = 33
2+1 = 3
21/7 =3
-----------
81÷ 9 = 99
8+1 = 9
81/9= 9
-----------
55 ÷ 5 = 1011
5+5=10
55/5=11

Q-29. The population of a city doubles every 7 years. If in 2009 population is 12483, by which year population increases by 49932?

(a) 2016 (b) 2023
(c) 2030 (d) 2037

View Answer and Solution 
  
Answer: (c)
Solution:
In 2016 the population would be
= 12483 × 2 = 24966
In 2023, the population would be
= 24966 × 2 = 49932
In 2030, the population would be
= 49932 x 2 = 99864
Therefore, increase in population by 2030
= 99864 12483 = 87381
Increase in population by 2023
= 49932 12483 = 37449

Q-30.Thus, the required year would be after 2023 and before 2030 32. In a survey, 70% of those surveyed owned a car and 75% of those surveyed owned a TV. If 55% owned both a car and a TV, what percent of those surveyed did not own either a car or a TV?

(a) 25% (b) 20%
(c) 10% (d) 5%

View Answer and Solution 
  
Answer: (c)
Solution:

20 TV Car 55 20 15 Percent of those surveyed who did not own either a car or a TV
= 100 - (20 + 55 +15)
= 100-90 = 10%