- 1. The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ?

Options- A. 34
- B. 36
- C. 38
- D. 40

Correct Answer: 34

M + Tu + W + Th = 4 x 48 = 192

Tu + W + Th + F = 4 x 46 = 184

M = 42

Tu + W + Th = 192 - 42 = 150

F = 184 ? 150 = 34

- 2. The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?

Options- A. 54.21 kgs
- B. 51.07 kgs
- C. 52.66 kgs
- D. 53.45 kgs

Correct Answer: 52.66 kgs

Given total number of passengers in the bus =** 45**

First average weight of **45** passengers =** 52 kgs**

Average weight of **5** passengers who leave bus =** 48**

Average weight of **5 **passengers who joined the bus = **54**

Therefore, the net average weight of the bus is given by

$\mathbf{=}\mathbf{}\frac{\mathbf{45}\mathbf{}\mathbf{x}\mathbf{}\mathbf{52}\mathbf{}\mathbf{-}\mathbf{}\left(\mathbf{5}\mathbf{}\mathbf{x}\mathbf{}\mathbf{48}\right)\mathbf{}\mathbf{+}\mathbf{}\left(\mathbf{5}\mathbf{}\mathbf{x}\mathbf{}\mathbf{54}\right)}{\mathbf{45}}\mathbf{}\phantom{\rule{0ex}{0ex}}=\frac{2370}{45}\phantom{\rule{0ex}{0ex}}=\frac{158}{3}\phantom{\rule{0ex}{0ex}}\mathbf{=}\mathbf{}\mathbf{52}\mathbf{.}\mathbf{66}\mathbf{}\mathbf{kgs}\mathbf{.}$

- 3. 19 friends went to a restaurant for a combined weekend dinner party. 13 of them spent Rs. 79 each on their dinner and the rest spent Rs. 4 more than the average expenditure of all the 19. What was the total money spent by them?

Options- A. Rs. 1398.96
- B. Rs. 1457.09
- C. Rs. 1662.35
- D. Rs. 1536.07

Correct Answer: Rs. 1536.07

Let average expenditure was **Rs. R**

**13 x 79 + 6x(R + 4) = 19R**

=> R = Rs. 80.84

Total money = * 19 x 80.84 *= Rs. 1536.07.

- 4. If the average height of boys in a hall is 180 cm and that of girls is 150 cm. If the average height of the gathering is 165 cm, then find the number of girls present in the hall if the number of boys present in the hall are 78 ?

Options- A. 56
- B. 64
- C. 87
- D. 78

Correct Answer: 78

Using Trial and error method,

we get the number of girls in the hall = 78

- 5. 12 boys decided to constribute Rs. 750 each to an Orphange. Suddenly few of them boys dropped out and consequently the rest had to pay Rs. 150 more. Then the number of boys who dropped out?

Options- A. 4
- B. 6
- C. 2
- D. 3

Correct Answer: 2

Total money decided to contribute = 750 x 12 = 9000

Let 'b' boys dropped

The rest paid 150/- more

=> **(12 - b) x 900 = 9000**

=> **b = 2**

**Hence, **the number of boys who dropped out is **2.**

- 6. The average score of boys in an examination in a school is 81 and that of the girls is 83 and the average score of the school is 81.8. Then what will be ratio between the number of girls to the number of boys, in the examination?

Options- A. 3:2
- B. 2:3
- C. 4:3
- D. 3:4

Correct Answer: 2:3

Let the number of boys = b

Let the number of girls = g

From the given data,

81b + 83g = 81.8(b + g)

81.8b - 81b = 83g - 81.8g

0.8b = 1.2g

b/g = 1.2/0.8 = 12/8 = 3/2

**=> g : b = 2 : 3**

Hence, ratio between the number of girls to the number of boys =** 2 : 3.**

- 7. A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

Options- A. 34
- B. 36
- C. 35
- D. 37

Correct Answer: 37

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

- 8. Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9?

Options- A. 2
- B. 1.5
- C. 1.25
- D. 2.5

Correct Answer: 1.5

Given Five boxes of bananas sell for Rs. 30.

=> 1 Box of Bananas for **= 30/5 = Rs. 6**

Then, for Rs. 9

**=> 9/6 = 3/2 = 1.5**

Hence, for Rs. 9, 1.5 box of bananas can buy.

- 9. Ian has 14 boxes of paper and divides them evenly between 4 coworkers. How many whole boxes did each coworker get?

Options- A. 2
- B. 2.5
- C. 3
- D. 3.5

Correct Answer: 3

Given number of boxes = 14

Number of workers = 4

Now, number of whole boxes per worker = 14/4 = 3.5

Hence, number of whole boxes per each coworker = **3**

- 10. There are 100 students in 3 sections A, B and C of a class. The average marks of all the three sections was 84. The average of B and C was 87.5 and the average marks of students in A section was :

Options- A. 20
- B. 35
- C. 54
- D. 40

Correct Answer: 20

Numbers of students in section A = x

? Numbers of students in section B and C = (100 ? x)

? x 70 + (100 ? x) 87.5 = 84 100

=> 70x + 87.5 100 ? 87.5x = 8400

=> 8750 ? 17.5x = 8400

=> 17.5x = 8750 ? 8400 => x = 20.

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