ASSIGNMENT 1
Q1. Aman can finish a piece of work by himself in 42 days. Mohit, who is 1/5 times more efficient as Aman, requires X days to finish the work by working all by himself. What is the value of X?
(a) 39 days
(b) 40 days
(c) 35 days
(d) 42 days
(e) 37 days
Q2. Gourav fires two bullets from the same place at an interval of 15 minutes but Rohit sitting in a train approaching the place hears the second sound14 minutes 30 seconds after the first. What is the approximate speed of train (if sound travels at the speed of 330 meter per second)?
(a) 330/23 m/sec
(b) 330/29 m/sec
(c) 330/27 m/sec
(d) 330/31 m/sec
(e) None of the above
Q3. The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?
(a) 18 men
(b) 20 men
(c) 48 men
(d) 28 men
(e) None of these
Q4. Equal amounts of each Rs. 43,892 is lend to two persons for 3 years. One at the rate of 30% S.I. and second at the rate of 30% C.I. annually. By how much percent the C.I. is greater than the simple interest received in this 3 years duration?
(a) 33%
(b) 35%
(c) 37%
(d) 30%
(e) 43%
Q5. A man has 7 relatives. 4 of them are ladies and 3 gentlemen; his wife also has 7 relatives. 3 of them are ladies and rest gentleman. In how many ways can they invite 3 ladies and 3 gentlemen for a dinner party so that there are 3 of the man’s relatives and 3 of the wife’s relatives?
(a) 450
(b) 498
(c) 499
(d) 485
(e) 489
Directions (6 -10). Two equations I and II are given below. You have to solve these equations and give answer
(a) if x<y
(b) if x>y
(c) if x≤y
(d) if x≥y
(e) if x=y or no relation can be established
Directions (11 – 15): A chartered accountancy firm having 450 employees has sent all its employees for training in one or more areas among HRM, Computer skills and Financial skills. The employees are classified into two categories- officers and Executives – in the ratio of 4 : 5. 10% of the officers take training only in Computer skills. 16% of the Executives take training only in HRM, which is equal to the number of Officers taking training only in financial skills. 40% of the officers are taking training in HRM and Financial skills both. 6% of the total employees are taking training in all the three areas and of these, two-third are officers. 10% of total employees are taking training in HRM and Computer skills both. The number of Officers taking training only in HRM is 25% of the number of Executives taking training only in HRM. 20% of the total number of employees are taking training only in Computer skills. The number of Executives taking training in HRM and Financial skills both is 20% of the total number of executives. There is no such executives who takes training in both financial skills and computer skills but not in HRM. Among the employees who take training in both HRM and Computer skills but not in Financial skills, the ratio of officers to executives is 1:8.
Q11. How many employees are taking training in Financial skills?
(a) 292
(b) 290
(c) 288
(d) 295
(e) 300
Q12. How many executives are taking training in HRM but not in computer skills?
(a) 47
(b) 80
(c) 81
(d) 79
(e) None of these
Q13. What percent of the total number of officers are taking training in Financial skills but not in HRM?
(a) 40%
(b) 45%
(c) 44%
(d) 36%
(e) 54%
Q14. How many executives are taking training in Financial skills?
(a) 120
(b) 124
(c) 126
(d) 125
(e) None of these
Q15. How many officers are taking training in Computer skills?
(a) 80
(b) 82
(c) 89
(d) 88
(e) 90