Q. 95. Three statements S1, S2 and S3 are given below followed by a Question:
S1: Carl has scored less mark than Daniel but more marks than Anna and Bella.
S2: Daniel has scored the most marks.
S3: Anna has score more marks than Bella.
Question: Who among the Anna, Bella, Carl and Daniel has scored the lowest marks?
Which among the following is correct in respect of above statements and question?
(A) S1 alone is sufficient to answer the question.
(B) S1 and S2 together are sufficient to answer the question.
(C) S2 and S3 together are sufficient to answer the question.
(D) S1 and S3 together are sufficient to answer the question.
Answer:
(D) S1 and S3 together are sufficient to answer the question.
Explanation:
From S1, we establish the order: Daniel > Carl > (Anna and Bella). To find who scored the absolute lowest, we need to know the relationship between Anna and Bella. S3 tells us Anna > Bella. Combining S1 and S3, we get Daniel > Carl > Anna > Bella. S2 is redundant information.
Q. 96. How many integers are there between 1 to 100 which have 5 as a digit and are divisible by 5?
(A) 5
(B) 11
(C) 12
(D) 13
Answer:
(B) 11
Explanation:
The numbers from 1 to 100 ending in 5 are always divisible by 5: 5, 15, 25, 35, 45, 55, 65, 75, 85, 95 (10 numbers). The numbers ending in 0 that contain the digit 5 is just 50 (1 number). In total, there are 10 + 1 = 11 integers satisfying the condition.
Q. 97. A land of dimension 20m×12m is dug till a depth of 15m. The soil taken out is used to completely fill cuboidal pit of length 25m and breadth 10m. Find the depth of the pit
(A) 15m
(B) 16.2m
(C) 18m
(D) 14.4m
Answer:
(D) 14.4m
Explanation:
First, calculate the volume of soil excavated: Volume = . Since this soil completely fills the new pit, the volume is equal. Depth of the new pit = .
Q. 98. It takes Bob 2t minutes to complete form A, which has k questions, and 3t minutes to complete form B which has k/2 questions. If Bob answers all the questions, how much more time does he take on an average to answer a form B question than he takes to answer a form A question?
(A) 2t/k
(B) 8t/k
(C) 4t/k
(D) t/k
Answer:
(C) 4t/k
Explanation:
Average time per question on Form A = . Average time per question on Form B = . The difference in average time is .
Q. 99. A clock is set at 10 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 3 a.m. on 4th day?
(A) 9 p.m.
(B) 11 p.m.
(C) 10 p.m.
(D) 12 p.m.
Explanation:
In 24 true hours, the faulty clock only registers 23 hours and 44 minutes. This means for every 90 true hours that pass, the clock registers exactly 89 hours (because $89 = 90 \times \frac{356}{360}$). The elapsed clock time from 10 a.m. on the 1st day to 3 a.m. on the 4th day is exactly 89 hours. Therefore, the true time elapsed must be 90 hours. 90 hours from 10 a.m. on Day 1 calculates out to 4:00 a.m. on Day 4. If the question intended the clock to indicate “10 p.m. on the 4th day” (a highly common variant of this exact question), the answer would be 11 p.m.
Q. 100. 1st day of century cannot start with which of the following day?
(A) Wednesday, Friday, & Sunday
(B) Wednesday, Friday, & Saturday
(C) Wednesday, Thursday, & Sunday
(D) None of these
Answer:
(A) Wednesday, Friday, & Sunday
Explanation:
According to calendar calculation logic, December 31st (the last day of a century) can only fall on a Friday, Wednesday, Monday, or Sunday. It can never fall on Tuesday, Thursday, or Saturday. Therefore, the very next day—the first day of the new century—can never be a Wednesday, Friday, or Sunday.
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