Directions(1-5): A. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question
B. If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question
C. If the data either in statement I alone or in statement II alone are sufficient to answer the question
D. If the data given in both statements I and II together are not sufficient to answer the question and
E. If the data in both statements I and II together are necessary to answer the question.
1. In which year was Rahul born?
I. Rahul at present is 25 years younger to his mother.
II. Rahul's brother, who was born in 1964, is 35 years younger to his mother.
Answer: Option E
Explanation: From both I and II, we find that Rahul is (35 - 25) = 10 years older than his brother, who was born in 1964. So, Rahul was born in 1954.
2. What will be the total weight of 10 poles, each of the same weight ?
I. One-fourth of the weight of each pole is 5 kg.
II. The total weight of three poles is 20 kilograms more than the total weight of two poles.
Answer: Option C
Explanation: From I, we conclude that weight of each pole = (4x5) kg = 20 kg.
So, total weight of 10 poles = (20 x 10) kg = 200 kg.
From II, we conclude that:
Weight of each pole = (weight of 3 poles) - (weight of 2 poles) = 20 kg.
So, total weight of 10 pojes = (20 x 10) kg = 200 kg.
3. How many children does M have ?
I. H is the only daughter of X who is wife of M.
II. K and J are brothers of M.
Answer: Option D
Explanation: From I, we conclude that H is the only daughter of M. But this does not indicate that M has no son. The information given in II is immaterial.
4. How much was the total sale of the company ?
I. The company sold 8000 units of product A each costing Rs. 25.
II. This company has no other product line.
Answer: Option E
Explanation: From I, total sale of product A = Rs. (8000 x 25) = Rs. 200000.
From II, we know that the company deals only in product A.
This implies that the sale of product A is the total sale of the company, which is Rs. 200000.
5. The last Sunday of March, 2006 fell on which date ?
I. The first Sunday of that month fell on [latex]{5}^{th}[/latex]
II. The last day of that month was Friday.
Answer: Option C
Explanation: From I, we conclude that 5th, 12th, 19th and 26th of March, 2006 were Sundays.
So, the last Sunday fell on 26th.
From II, we conclude that [latex]{31}^{st}[/latex] March, 2006 was Friday. Thus, [latex]{26}^{th}[/latex] March, 2006 was the last Sunday of the month.