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# (IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Average (MCQ -5)

## Basic Numeracy

Average (MCQ -5)

**1. The average weight of 8 persons increases by 2.5
kg when a new person comes in place of one of them weighing 65 kg. What might be
the weight of the new person?**(a) 82 kg

(b) 85 kg

(c) 76.5 kg

(d) 80 kg

**2. Sumitra has an average of 56% on her
first 7 examinations.Howmuch she should make on her eighth
examination to obtain an average of 60% on 8 examinations?**(a) 88%

(b) 78%

(c) 92%

(d) 68%

**3. Ages of ‘A’ and ‘B’ are in the ratio
of 2 : 3 respectively. Six years hence the ratio of their ages will
become 8 : 11 respectively.What is B’s present age?**(a) 18 years

(b) 28 years

(c) 27 years

(d) 25 years

**4. The total age of A and B is 12 years
more than that of total age of B and C. C is how many years younger
than A?**(a) Cis elder than A

(b) 26

(c) 12

(d) 25

**5. The average marks
fetched by Mohan in History, Geography, Science and Mathematics is
10 more than the marks fetched inMathematics. If he has got 110
marks aggregate in History and Geography, what will be the aggregate
marks fetched in Science and Mathematics?**(a) 90

(b) 70

(c) 75

(d) 85

**6. The average of first
three of five odd numbers arranged in ascending order is 10 less
than the average of the last three of these numbers. If the sum of
the last two of these numbers is 42, what is the sum of the first
two of these numbers? **(a) 23

(b) 18

(c) 16

(d) can’t be determined

**7. Jayesh is twice as old as Vijay and
half as old as Suresh. If sum of Suresh’s and Vijay’s ages is 85
years what is Jayesh’s age in years?**(a) 34

(b) 39

(c) 68

(d) 35

**8. Six years ago Jaganath was twice as
old as Badri if the ratio of their present age is 9 : 5
respectively, what is the difference between their present ages? **(a) 24

(b) 30

(c) 52

(d) 27

**9. Jitu scores 60, 80,
40, 50 and 90 per cent marks in the subjects A, B, C, D and E
respectively. However, the weights attached to those subjects are 5,
4, 3, 2 and 1 respectively. Which of the following represents the
weighted average of marks scored by Jitu in these five subjects**(a) 75

(b) 78

(c) 62

(d) 79

**10. Jayesh is asmuch younger than Anil
as he is older than Prashant. If the sum of the ages of Anil and
Prashant is 48 years, what is Jayesh’s age in years?**

(a) 29

(b) 30

(c) 24

(d) 25

**11. The average weight
of a group of 150 students in a class is 60 kg. If the mean of
weights of all the 50 male students in the class is 70 kg, then the
average weight of 100 girls in the class is:**(a) 85 kg

(b) 40 kg

(c) 60 kg

(d) 55 kg

**12. In a journey of 160 km, a train
covers the distance 120 km at a speed of 80 km/h and the remaining
distance at 40 km/h. The average speed of the train for the whole
journey is:**(a) 50 km/h

(b) 64 km/h

(c) 68 km/h

(d) 74 km/h

**13. The average of 10 numbers is 7. If
each number is multiplied by 12, then the average of new set of
numbers is**(a) 72

(b) 86

(c) 79

(d) 84

**14. 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? **(a) 60

(b) 37

(c) 38

(d) 27

**15. 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?**(a) 71 kg

(b) 67 kg

(c) 73 kg

(d) 58 kg

**16. 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? **(a) 6 : 1

(b) 3 : 1

(c) 4 : 1

(d) 4 : 5

**17. 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?**(a) 37.25

(b) 36.92

(c) 35.58

(d) 28.72

**18. 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: **

(a) Rs. 150.3

(b) Rs. 88.18

(c) Rs. 78.3

(d) Rs. 70.9

**19. 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.**

(a) Rs. 35.78

(b) Rs. 30.26

(c) Rs. 32.58

(d) Rs. 38.88

**20. 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.**

(a) 49.353 g

(b) 51.718 g

(c) 53.342 g

(d) 54.512 g

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