Find real questions from previous competitive exam papers with answers and solutions.
160 multiplied by the square of a number gives the cube of 8 times the number. Find the number.
0.375
0.25
0.5
0.3125
Correct answer
0.3125
Why this answer is correct
Calculation:
Let the number is n.
According to question,
160 × n2 = (8 × n)3
⇒ 512n = 160
⇒ n =160/512 = 0.3125
∴ the required number is 0.3125
What is the value of 0.420420420... - 0.240240240…?
40/111
15/111
24/111
20/111
Correct answer
20/111
Why this answer is correct
Calculation:
⇒ 0.420420420....- 0.240240240.....
⇒ 420/999 - 240/999
⇒ (420-240)/999
⇒ 180/999
⇒ 20/111
∴ the value of 0.420420420....- 0.240240240..... is 20/111.
A gift item was marked up twice by 25% each. It was sold for Rs 1200 after a discount of 20%. Find the cost price.
Rs. 900
Rs. 960
Rs. 1020
Rs. 1050
Correct answer
Rs. 960
Why this answer is correct
Given
The selling price of a gift item = Rs 1200
Formula Used
Selling price = (Marked price /100) × (100 - discount%)
Calculation
Let the cost price be 100x
Marked Price of a gift item = 100x × (125/100) × (125/100) = 156.25x
Selling price of a gift item = (156.25x/100) × 80 = 125x
⇒ 125x = 1200
⇒ x = 1200/125
⇒ 100x = (1200/125) × 100 = Rs 960
∴ The cost price of a gift item is Rs 960
What is the result when 0.051051051.. is converted into a fraction?
17/999
17/111
17/666
17/333
Correct answer
17/333
Why this answer is correct
Calculation
0.051051051.... = x/y
⇒ 0.0̅5̅1 = x/y
We know that when the recurring digit converting into fraction 9 comes in denominator rather than 10
⇒ 0.0̅5̅1 = 51/999 = 17/333
∴ The required answer is 17/333
A man was walked along the hypotenuse across a right-triangle plot. The other two sides measured 30 m and 40 m respectively. Approximately how much distance saved by not walking along the sides? (in m)
20
16
12
14
Correct answer
20
Why this answer is correct
Given
The other two side of triangle = 30 m and 25 m
Formula Used
H2 = P2 + B2
Calculation
Hypotnuese = √(302 + 402) = 50 m
So, Total distance along the sides = 30 m + 40 m = 70 m
then, A man saved distance by not walking along the side = 70 - 50 = 20 m
∴ The distance saved by not walking along the side is 20 m
60 items were bought for Rs 72 and 24 of those items were sold for Rs 36. What is the profit percent on the items sold?
40 percent
50 percent
20 percent
25 percent
Correct answer
25 percent
Why this answer is correct
Given
60 items were purchased = Rs 72
Formula Used
Profit percent = (profit/cp) × 100
Calculation
Cost price of 1 item = 72/60 = Rs 1.2
Selling price of 1 item = 36/24 = Rs 1.5
Profit Percent = (.3/1.2) × 100 = 25%
∴ The Profit Percent is 25%
A man goes on a solo journey of 450 kms. He covers the first 300 at the speeds of 60 kmph and the remaining distance at 37.50 kmph. Find the average speed of the journey.
60 kmph
50 kmph
40 kmph
80 kmph
Correct answer
50 kmph
Why this answer is correct
Given
Total distance of journey = 450 kms
Formula used
Average speed = Total Distance/Total time
Calculation
Average speed = [450/{(300/60) + (150/37.5)}]
⇒ 450/(5 + 4) = 50 km/hr
∴ The average speed of man is 50 km/hr
In a bag, there are coins of 25 paise, 50 paise and Rs 1 in the ratio of 8 : 4 : 1. In there is Rs 30 in total, how many 50 paise coins are there?
48
6
12
24
Correct answer
24
Why this answer is correct
Given
Total Money in bag = Rs 30
Formula used
Total value = no. of coins × value per coin
Calculation
25 p 50 p Rs 1
Value per coin 1 : 2 : 4
No. of coins 8 : 4 : 1
total Value 8 : 8 : 4
Total Value = 30
⇒ 20x = 30
⇒ x = 1.5
Value of 50p coins = 8x = 8 × 1.5 = Rs 12
No. of coins = 12 × 2 = 24
∴ No. of 50 paise coins are 24
The pie chart shows the shirts' proportion of sizes sold by a shop in a year. If the total number of shirts sold was 20000, then by how much does the highest selling 2 sizes differ from the least selling 2 sizes?
8400
8800
9600
9200
Correct answer
8800
Why this answer is correct
From the Graph,
Total sales of shirts = Rs 20000
Highest selling size of shirts are XS and M = 35% and 24%
Lowest Selling size of shirts are XL and XXS = 6% and 9%
Difference of Highest selling and lowest selling = (35% + 24%) × 20000 - (6% + 9%) × 20000
⇒ [(59 - 15)/100] × 20000 = 44 × 200 = 8800
∴ The highest selling 2 sizes differ from the least selling 2 sizes is 8800
Find the sum of digits of the largest 5-digit number divisible by 11.
45
36
27
18
Correct answer
36
Why this answer is correct
Calculation
firstly we divide the largest 5 digit number i.e. 99999 by 11
So, we get remainder 9
so, 99999 - 9 = 99990 is largest 5 digit number which is divisible by 11
Then Sum of digit = 36
∴ 36 is the sum of digits of the largest 5-digit number divisible by 11.