1) Which of the following numbers is divisible by 4?
a) 1123346
b) 10224
c) 100234
Answer:
b) 10224. This is the only option with last two digits divisible by 4
2) At 15:15 pm railway time, what will be the angle between minute and hour hand?
a) 0 degrees
b) 180 degrees
c) 360 degrees
d) Both a and c
Answer:
d) At 15:15 both minute and hour hands will be in same position. Hence the angle between them will be zero degrees. However 360 degree also means both minute and hour hands are in same position. Hence correct answers are both zero and 360 degrees
3) Let Raj be 3 years older than Ravi and Hema be two years younger than Ravi. Raj is three times as old as Rahul who is Hema's brother. The ratio of the ages of Hema and Her brother is 3:2. Find by how much percentage Raj's age is more than Hema's when Raj will be 20 years old.
a) 33.33
b) 40
c) 60
Answer: 33.33
4) A hat vendor bought hats at Rs 5 per 3 hats. He sold them at Rs 10 per 4 hats. What was his profit percentage?
a) 25
b) 50
c) 30
Answer: Cost price per hat = 5/3
Selling price per hat = 10/4
Profit percentage = (S.P - C.P / C.P) x 100
Substituting the above SP and CP we get 50%.
5) Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term.
a) 900/19 %
b) 800/66 %
c) Cannot be determined
Answer:
First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %
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