Direction (1-5): Study the following information carefully and answer the questions given below.
Seven boxes P, Q, R, S, T, U and V are bought at different cost between Rs.40 and Rs.50 but not necessarily in the same order. The Cost of box R is five less than that of box T. The Cost of Box P is a prime number. The cost of Box U is two more than that of box P. The cost of Box U is more than that of box T. The cost of box S is an odd number. The cost of box V is three more than cost of box S. None of the box cost is Rs.44. The cost of box Q is an even number.
1. What is the cost of Box T?
A. Rs. 42
B. Rs. 45
C. Rs. 47
D. Rs. 46
E. None of these
2. What is the sum of Cost of box R and S?
A. Rs. 96
B. Rs. 86
C. Rs. 88
D. Rs. 72
E. None of these
3. How many boxes are not costlier than Q?
A. One
B. Two
C. Three
D. Four
E. None of these
4. Which of the following box is just costlier than S?
A. P
B. Q
C. T
D. V
E. None of these
5. Which of the following is correct?
A. Box Q is costlier than box R
B. The cost of box U is prime number
C. The cost of box V is below Rs.45
D. The cost of box
E. Both (A) and (D)
Answers and Explanations
1. Answer - Option D
2. Answer - Option B
3. Answer - Option A
4. Answer - Option C
5. Answer - Option E
Explanation [1-5]-
Costs: 41, 42, 43, 44, 45, 46, 47, 48 and 49.
The Cost of box R is five less than that of box T. Four possible cases
The Cost of Box P is a prime number.
The cost of Box U is two more than that of box P. The cost of Box U is more than that of box T. We cannot fix the cost of U in case 2 and case 4. So these cases are eliminated
The cost of box S is odd number. For this case we have 43 and 45 are odd number for case 1 and 41 and 45 are odd number for case 4.
The cost of box V is three more than cost of box S.
None of the box cost is Rs.44. From this case 3 is eliminated.
Now we have Rs. 43 and Rs.42 is unknown cost. The cost of box Q is even number. Therefore cost of box Q is Rs.42. case 1 is the final arrangement.