Directions (Q.1-5): In each of the following questions, you have to find out which of the following statements are redundant for determining the answer to the given questions and can be dispensed with.
1. A trader sells a homogeneous mixture of X and Y at the rate of `36 per kg. What is the profit earned by the trader? (5)
I. He bought X at the rate of `28 per kg.
II. He bought Y at 4 higher than the rate of X per kg.
III. He bought Y at the rate of `32 per kg.
1) Only I and III together
2) Either I or II
3) Any two of the three
4) Only II and III together
5) I, II and III even together are not sufficient to answer the question
2. 12 men and 8 women can complete a piece of work in 10 days. How many days will it take for 16 men and 6 women to complete the same work? (4)
I. 16 men can complete the work is 15 days.
II. 16 women can complete the work in 20 days.
III. The amount of work done by a woman in three-fourths of the work done by a man in one day
1) Only II 2) Only II or III and I 3) Only II or III 4) Any two of the three 5) Only III
3. What is the perimeter of a semi-circle? (5)
I. The radius of the semicircle is equal to half the side of a square.
II. The area of the square is 196sq.cm.
III. The radius of the circle is half the length of the rectangle and the breadth of the rectangle is half
the length of the rectangle.
1) Only II 2) Only II or III and I 3) Only II or III 4) Any two of the three 5) Only III
4. What will be Saurav’s age after 6 years? (2)
I. The ratio of Raman’s present age to Saurav’s present age is 4:3
II. The difference between the age of Raman and that of Vikash is 8 years.
III. Raman is seven years older than Saurav.
1) Only I and III together 2) Only II 3) Any two of the three
4) Only II and III together 5) I, II and III are not sufficient to answer the question
5. What is the simple interest accrued on the principle of `5000 for six years? (1)
I. The interest earned on the same sum for another period is `1050.
II. The rate of simple interest for the first three years is 5pcpa.
III. The rate of simple interest for the next three years is 8pcpa.
1) Only I 2) Only I and III 3) Either II or I 4) Any two of the three 5) Only II and III
