Directions (Q1- Q2): The following questions are accompanied by three statements (A) or (I), (B) or (II), and (C) or (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.
Q1. What is the value of a two–digit number?
A. The sum of the digits is 5.
B. The difference of the squares of the digits is 15.
C. The difference of their digits is 3.
(a) A and B together are sufficient
(b) B and C together are sufficient
(c) C and A together are sufficient
(d) Any one pair of A and B, B and C or C and A is sufficient
(e) A, B and C together are necessary
Q2. What is the perimeter of a rectangular field?
I. The area of the field is 2400 sq.metres.
II. The diagonal of the field is 50 metres.
III. The ratio between the length and the breadth of the field is 3 : 2.
(a) All I, II and III together are required
(b) Any two of I, II and III are sufficient
(c) Only I and II are required
(d) Only II and III are required
(e) None of these
Q3. Ashutosh calculates his profit percentage on the selling price whereas Hitesh calculates his profit on the cost price. They find that the difference of their profit is Rs. 135. If the selling price of both of them are the same, and Ashutosh gets 30% profit and Hitesh gets 25% profit, then find their selling price.
(a) Rs. 1250
(b) Rs. 1150
(c) Rs. 1450
(d) Rs. 1350
(e) none of these
Q4. Sandesh got Rs 6000 as his share out of the total profit of Rs 9000 which he and Sanket earned at the end of one year. If Sandesh invested Rs 20000 for 6 months, whereas Sanket invested his amount for the whole year, the amount invested by Sanket was
(a) Rs 60000
(b) Rs 10000
(c) Rs 40000
(d) Rs 5000
(e) None of these
Q5. Avanish and Bikas entered into the partnership with Rs 700 and Rs 600 respectively. After 3 months Avanish withdrew 2/7of his stock but after 3 months more he put back 3/5 of what he had withdrawn. The profits at the end of the year are Rs 726, how much of this should Avanish receive?
(a) Rs 633
(b) Rs 336
(c) Rs 663
(d) Rs 366
(e) None of these