Problem 1 :
How many two digit numbers are there ?
(A) 70 (B) 80 (C) 90
Solution :
(1) From 10 to 19 there are 10 numbers
(2) 20 to 29 = 10 numbers
(3) 30 to 39 = 10 numbers
(4) 40 to 49 = 10 numbers
(5) 50 to 59 = 10 numbers
(6) 60 to 69 = 10 numbers
(7) 70 to 79 = 10 numbers
(8) 80 to 89 = 10 numbers
(9) 90 to 99 = 10 numbers
So, there are 90 two digit numbers.
Problem 2 :
What numbers do the roman numeral XVII represent?
(A) 15 (B) 17 (C) 19
Solution :
The roman numeral of XVII is 17.
Problem 3 :
What is the exponential form of 800 ?
(A) 32 52 (B) 52 25 (B) 32 55
Solution :
800 = 2⋅2⋅2⋅2⋅2⋅5⋅5
= 25⋅52
Problem 4 :
What is the exponential form of 122.
(A) 12 x 2 (B) 12 x 12 (C) 12 x 12 x 2
Solution :
122 = 12 x 12
Problem 5 :
Find the greatest number which divides 63 and 80 leaving the remainders 3 and 5 respectively.
(A) 15 (B) 16 (C) 18
Solution :
To find the greatest number which divides 63 and 80 leaving the remainders 3 and 5, let us subtract 3 and 5 from 63 and 80 respectively and find highest common factor.
63 - 3 = 60 ==> 5⋅2⋅2⋅3
80 - 5 = 75 ==> 5⋅5⋅3
HCF (60, 75) = 5⋅3 ==> 15
So, 15 is the greatest number.
Problem 6 :
Subtract 546.925 - 52.68
(A) 523.125 (B) 494.245 (C) 5142.70
Solution :
546.925 - 52.68 = 494.245
Problem 7 :
A ream of paper weighs 12.5 kg. What is the weight per quire if 20 quires make one ream ?
(A) 5/8 kg (B) 5/6 kg (C) 2/3 kg
Solution :
Weight of 20 quires = 12.5
Weight of 1 quire = 12.5/20
= 0.625
= 625/1000
= 5/8 kg
Problem 8 :
Find 40% of 160.
(A) 51 (B) 52 (C) 64
Solution :
= 40% of 160
= (40/100) ⋅ 160
= 64
Problem 9 :
The average of three numbers is 21. Two of the numbers are 18 and 20. Find the third number.
(A) 25 (B) 35 (C) 28
Solution :
Let x be the unknown.
Average of three numbers = 21
(18 + x + 20)/3 = 21
38 + x = 63
x = 63 - 38
x = 25
Problem 10 :
5 men can do a piece of work in 20 days for 8 hours each. In how many days can 8 men do the same for 10 hours each?
(A) 15 days (B) 10 days (C) 7 days
Solution :
5 men complete the work in 20 Days by working 8 hours per day.
It means by working 8 x 5 - 40 man-hours per Day the work will be completed in 20 days.
It will be Lesser days.
(40/ 80) x 20 days = 10 days
Hence, 8 men working for 10 hours in a day will take 10 days to complete the work.
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