Q. 106. The ratio between two numbers 3:4. If each number is increased by 3, the ratio becomes 4:5. Find the two numbers.
(A) 3, 6
(B) 8, 12
(C) 7, 9
(D) 9, 12
Answer:
(D) 9, 12
Explanation:
Let the numbers be 3x and 4x. Adding 3 to both gives (3x + 3) / (4x + 3) = 4 / 5. Solving this equation yields x = 3, making the original numbers 9 and 12.
Q. 107. If the cost price of 18 apples is same as the selling price of 16 apples, find the profit percentage.
(A) 6%
(B) 10.5%
(C) 12.5%
(D) 8%
Answer:
(C) 12.5%
Explanation:
Let CP be the cost price of one apple. Total CP of 16 apples is 16CP. The SP of 16 apples is equal to 18CP. Profit = (18CP – 16CP) / 16CP * 100 = 12.5%
Q. 108. Three candidates contested an election and received 1136, 7636 and 11628 votes, respectively. What percentage of the total votes did the winning candidate get?
(A) 57%
(B) 60%
(C) 65%
(D) 90%
Answer:
(A) 57%
Explanation:
The total number of votes cast is 1136 + 7636 + 11628 = 20400. The winning candidate secured 11628 votes, which is (11628 / 20400) *100 = 57% of the total votes.
Q. 109. Find the odd one out in the series: 1, 5, 14, 30, 50, 91.
(A) 14
(B) 30
(C) 50
(D) 91
Answer:
(C) 50
Explanation:
The sequence follows the pattern of adding consecutive perfect squares (2², 3², 4², 5², 6²). Adding 5² (25) to 30 should result in 55, making 50 the odd number out.
Q. 110. Together, Chotu and Nitu plough a field in 4 days. Nitu alone takes 6 days to plough the same field. In how many days can Chotu alone plough the field?
(A) 10 days
(B) 12 days
(C) 8 days
(D) None of the above
Answer:
(B) 12 days
Explanation:
The combined work rate is 1/4 per day, and Nitu’s rate is 1/6 per day. Chotu’s rate is 1/4 – 1/6 = 1/12 per day. Thus, it will take Chotu 12 days to plough the field alone.
