Q 1 - What is 15% of Rs. 34 ?
A. 3.10
B. 5.10
C. 4.1
D. 2.4
15% of Rs. 34 = Rs.(15⁄100 x 34 ) = Rs. 5.10
Q 2 - It costs Rs. 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?
A. 4880
B. 4980
C. 4920
D. 4900
Cost = 1 x 1000 + (100-2)% of 1 x 4000 = 1000 + (98)% of 4000 = 1000 + 3920 = Rs. 4920
Q 3 - A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
A. 5⁄11%
B. 45%
C. 11 5⁄45%
D. 45 5⁄11%
Number of runs made by running = 110 - (3 x 4 + 8 x 6) = 50 Therefore, percentage = (50⁄100 x 100)% = 45 5⁄11%
Q 4 - 10% of the voters did not cast their votes in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate for 54% of the valid votes and won by a majority of 1620 votes. Find the number of voters enrolled on the voters list?
A. 27000
B. 32000
C. 25000
D. 28000
Let z be the total number of voters. Votes polled = 90% of z Valid votes = (90% of (90% of z)) Therefore, 54% of [90% of (90% of z)] - 46% of [90% of (90% of z)] = 1620 → 8% of [90% of (90% of z)] = 1620 The number of voters enrolled were z = 25000
Q 5 - In a recent survey, 40% houses contained two or more people. Of those house containing only one person, 25% were having only a male. What is the percentage of all houses, which contain exactly one female and no males?
A. 35%
B. 30%
C. 55%
D. 45%
Let Z be the number of houses. Therefore, number of houses having one family = (100 - 25)% of (100 - 40)% of Z = (75⁄100 x 60⁄100 x Z) Z = 45%
Q 6 - A student has to secure minimum 35% marks to pass in an examination. If he gets 200 marks and fails by 10 marks, then the maximum marks are
A. 300
B. 400
C. 500
D. 600
Let the maximum marks be x. According to the question, 35% of x = 200 + 10 Or, x = 600
Q 7 - What will be 90 % of a number whose 200% is 300?
A. 135
B. 140
C. 145
D. 150
200% of x = 300,=>x=150 90% of 150=135
Q 8 - The price of an article is cut by 20% .to restore it to the former value, the new price must be increased by
A. 20
B. 25
C. 30
D. 35
Let original price = Rs. 100 Reduced price = Rs. 80 Increase on Rs.80=Rs.20 Increase on Rs. 100=20/80*100%=25%
Q 9 - x% of x is the same as 10% of
A. x/10
B. x2/10
C. x3/10
D. x4/10
x% of x = x/100 * x = 10% of y = y/10 => y = (x2/100) * 10 = x2/10
Q 10 - 65% of a number is 21 less than 4/5 th of that number. Find the number.
A. 140
B. 130
C. 120
D. 110
Let the number be x. Then, (4/5 x)-(65% of x)= 21 => 4x/5-65x/100=21 => 4x/5-13x/20=21 => 16x-13x=420 =>3x=420 =>x=140. Required number = 140.