Find real questions from previous competitive exam papers with answers and solutions.
Browse complete papersIn each of the following number series, the wrong number is given, find out that number.
240, 244, 253, 276, 327, 448
244
327
253
448
276
Correct answer
276
Why this answer is correct
The series follows the following pattern:
240 + 22 = 244
244 + 32 = 253
253 + 52 = 278
278 + 72 = 327
327 + 112 = 448
∴ The wrong term in the series is 276.
In each of the following number series, the wrong number is given, find out that number.
351, 334, 300, 250, 181, 96
334
300
250
181
96
Correct answer
250
Why this answer is correct
The series follows the following pattern:
351 – 17 = 334
334 – 34 = 300
300 – 51 = 249
249 – 68 = 181
181 – 85 = 96
∴ The wrong term in the series is 250.
The ratio of the present ages of two cousins is 2 : 3 and six years back, the ratio was 1 : 3. Find the ratio of the cousins' ages after 8 years?
3 : 4
4 : 5
5 : 6
4 : 7
7 : 8
Correct answer
4 : 5
Why this answer is correct
Given:
The present ages of two cousins = 2 : 3
6 years ago
The ages of the cousins = 1 : 3
Calculation:
Let the present ages of the two Cousins be 2x and 3x respectively.
∴ According to the question:
⇒ (2x – 6)/(3x – 6) = 1/3
⇒ 6x – 18 = 3x – 6
⇒ 3x = 12
⇒ x = 4.
∴ required ratio:
(2x + 8) : (3x + 8)
⇒ 8 + 8 : 12 + 8
⇒ 16 : 20
⇒ 4 : 5.
∴ The ratio of the cousins' ages after 8 years is 4 : 5.
Two candidates appeared at an election. One of them get 9 votes more than the other and his vote was 56% of the sum of their total votes. The votes obtained by them are:
39, 30
41, 32
42, 33
43, 34
None of these
Correct answer
42, 33
Why this answer is correct
Given:
Two candidates appeared at an election. One of them get 9 votes more than the other and his vote was 56% of the sum of their total votes.
Calculation:
Let their votes be (x + 9) and x
Then, x + 9 = 56/100(x + 9 + x)
⇒ 25 (x + 9) = 14 (2x + 9)
⇒ 3x = 99
⇒ x = 33
∴ Their votes are 42 and 33
Priya, Shanu and Raj started a business by investing Rs. 10,400, Rs. 36,400 and Rs. 31,200. At the end of the first year, Shanu’s share in total profit was Rs. 11,200. What was the total profit earned by them?
Rs. 20,000
Rs. 22,000
Rs. 24,000
Rs. 26,000
None of these
Correct answer
Rs. 24,000
Why this answer is correct
Given:
Priya’s investments = Rs. 10,400
Shanu’s investment = Rs. 36,400
Raj’s investment = Rs. 31,200
Shanu’s profit share = Rs. 11,200
Formula used:
Profit share = investment × time period
Calculation:
Ratio of investments in business by Priya, Shanu and Raj = 10400 ∶ 36400 ∶ 31200
⇒ 2 ∶ 7 ∶ 6
Let the total profit is 15 unit.
Now Shanu’s profit = 7 unit = Rs. 11,200
⇒ 1 unit = Rs. 1600
Total profit = 15 units = Rs. (15 × 1600)
⇒ Rs. 24,000
∴ Total profit earned by them is Rs. 24,000
The line graph shows the number of items sold and unsold in five different months.
Difference between number of items sold in February and April is x. Find the value of 7x?
165
185
194
105
115
Correct answer
105
Why this answer is correct
Calculations:
Difference between items sold in February and April:
February sold = 65
April sold = 50
Difference = 15 = x
So, 7x = 105
The line graph shows the number of items sold and unsold in five different months.
Find the ratio between number of items unsold in January and number items unsold in March?
2:3
4:9
3:4
4:5
7:8
Correct answer
3:4
Why this answer is correct
Calculations:
Ratio of unsold items in January to unsold items in March:
January unsold = 15
March unsold = 20
Ratio = 3 : 4