Quantitative Aptitude

1. Three pieces of cakes of weights 9/2 lbs, 27/4 lbs and 36/5 lbs, respectively, are to be divided into parts of equal weights. Further, each part must be as heavy as possible. If one part is served to each guest, then what is the maximum number of guests that could be entertained?                                         (4)

1. (1) 54
2. (2) 72
3. (3) 20
4. (4) 41
5. (5) None of these

2. The normal dosage of a particular medicine is t tablets per day for each patient. A hospital’s current supply of these tablets will last p patients for d days. If the recommended dosage increases by 20% and the number of patients decreases by one-third, then for how many days will the hospital’s supply last ?                        (1)

1. (1) 5d/4
2. (2) 4d/5
3. (3) 4pt/5
4. (4) None of these
5. (5) 3pt/5

3. A piece of paper is in the shape of a right-angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 (cm square) before the cut, what is the area of the smaller triangle (in cm square) formed after the cut.                                                                         (4)

1. (1) 16.565
2. (2) 15.465
3. (3) 16.665
4. (4) 14.365
5. (5) None of these

4. A certain product C is made of two ingredients A and B in the proportion of 2 : 5. The price of A is three times that of B. The overall cost of C is Rs. 5.20 per kg including labour charges of 80 paisa per kg. Find the cost of B per kg ?                                                                                                           (4)

1. (1) Rs. 8.40
2. (2) Rs. 4.20
3. (3) Rs. 4.80
4. (4) Rs. 2.80
5. (5) None of these

5. Three professors Dr. Gupta, Dr. Sharma and Dr. Singh are evaluating answer scripts of a subject. Dr. Gupta is 40% more efficient than Dr. Sharma, who is 20% more efficient than Dr. Singh. Dr. Gupta takes 10 days less than Dr. Sharma to complete the evaluation work. Dr. Gupta starts the evaluation work and works for 10 days and then Dr. Sharma takes over. Dr. Sharma evaluates for next 15 days and then stops. In how many days, Dr. Singh can complete the remaining evaluation work ?                                                                 (1)

1. (1) 7.2 days
2. (2) 9.5 days
3. (3) 11.5 days
4. (4) 10 days
5. (5) None of these