Q. 101. The average age of three members of a family was 24 five years ago. At present, the average is 22 with a new member in the family. Find the age of the new member.
(A) 4 yr
(B) 3 yr
(C) 2 yr
(D) 1 yr
Answer:
(D) 1 yr
Explanation:
The sum of the ages of the three members 5 years ago was 243 = 72. Their present sum is 72 + (53) = 87. The present sum of four members is 224 = 88. The new member’s age is 88 – 87 = 1 year.
Q. 102. A bus travels for 7 hours, the first half at 30 km/hr and second half at 40 km/hr. Find the distance.
(A) 240 km
(B) 245 km
(C) 250 km
(D) 260 km
Answer:
(A) 240 km
Explanation:
Let the total distance be D. The time taken for the first half is (D/2)/30 and for the second half is (D/2)/40. Setting the sum equal to 7 hours gives D/60 + D/80 = 7. Solving this yields D = 240 km.
Q. 103. A case contains 230 rice bags. 145 were not broken. What percentage of the rice bags were broken?
(A) 35%
(B) 36.95%
(C) 38.25%
(D) 36.75%
Answer:
(B) 36.95%
Explanation:
The number of broken bags is 230 – 145 = 85. The percentage of broken bags is calculated as (85 / 230) * 100, which is approximately 36.95%
Q. 104. Find the compound interest on 15,000 for two years at 8% per annum.
(A) 2398
(B) 1296
(C) 2592
(D) 2496
Answer:
(D) 2496
Explanation:
Compound interest is calculated using the formula CI = P[(1 + R/100)^t – 1]. Plugging in P = 15000, R = 8, and t = 2 gives an interest of 2496.
Q. 105. In an examination, 40% of the students failed in Math, 30% in English and 20% in both subjects. Find the percentage of students who passed in both the subjects.
(A) 30%
(B) 40%
(C) 50%
(D) 60%
Answer:
(C) 50%
Explanation:
The total percentage of students who failed in at least one subject is (40% + 30%) – 20% = 50%. Therefore, the percentage of students who passed in both subjects is 100% – 50% = 50%.
