(Study Materials) Numerical Ability/Quantitative Aptitude : Average - MCQ

1. A batsman has a certain average of runs for 16 innings. In the 17th innings, he makes a score of 85 runs, thereby increasing his average by 3. What is the average after the 17th innings?
1. 60
2. 37
3. 38
4. 27
5. 68

2. In Aran’s opinion his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Aran’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?
1. 71 kg
2. 67 kg
3. 73 kg
4. 58 kg
5. 52 kg

3. The ratio between the present ages of M and N is 5 : 3 respectively. The ratio between M’s age 4 years ago and N’s age after 4 years is 1 : 1. What is the ratio between M’s age after 4 years and N’s age 4 years ago?
1. 6 : 1
2. 3 : 1
3. 4 : 1
4. 4 : 5
5. 2 : 3

4. In 1919, W. Rhodes, the Yorkshire cricketer, scored 891 runs for his country at an average of 34.27; in 1920, he scored 949 runs at an average of 28.75; in 1921, 1329 runs at an average of 42.87 and in 1922, 1101 runs at an average of 36.70. What was his batting average for the four years?
1. 37.25
2. 36.92
3. 35.58
4. 28.72
5. 25.67

5. In hotel Jaysarmin, the rooms are numbered from 101 to 130 on-the first floor, 221 to 260 on the second floor and 306 to 345 on the third floor. In the month of June 2002, the room occupancy was 60% on the first floor, 40% on the second floor and 75% on the third floor. If it is also known that the room charges are Rs. 200, Rs. 100 and Rs. 150 on each of the floors, then find the average income per room for the month of June 2002:
1. Rs. 150.3
2. Rs. 88.18
3. Rs. 78.3
4. Rs. 70.9
5. Rs. 75.3

6. A salesman gets a bonus according to the following structure:
If he sells articles worth Rs. x then he gets bonus of Rs. (x/100 – 1). In the month of January, his sales value was Rs. 100, in February it was Rs. 200, from March to November it was Rs. 300 for every month and in December it was Rs. 1200. Apart from this, he also receives a basic salary of Rs. 30 per month from his employer. Find his average income per month during the year.
1. Rs. 35.78
2. Rs. 30.26
3. Rs. 32.58
4. Rs. 38.88
5. Rs. 30.50

7. The weight of a body as calculated by the average of 7 different experiments is 53.735 g. The average of the first three experiments is 54.005 g, of the fourth is 0.004 g greater than the fifth, while the average of the sixth and seventh experiment was 0.010 g less than the average of the first three. Find the weight of the body obtained by the fourth experiment.
1. 49.353 g
2. 51.718 g
3. 53.342 g
4. 54.512 g
5. 52.242 g

8. Find the average weight of four containers, if it is known that the weight of the first container is 100 kg and the total of the second, third and fourth containers’ weight is defined by f(x) = x2 – 3/4 (x2), where x = 100.
1. 650 kg
2. 880 kg
3. 760 kg
4. 460 kg
5. 780 kg

9. There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes.
1. 80 kg
2. 75 kg
3. 37.5 kg
4. 116.8 kg
5. 65 kg