MAT (Stage-1) Mock Test

Result

MAT (Stage-1) Mock Test - 43

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers would replace the question mark (?) in the given figure?

40 9 41

71 11 50

18 ? 18

A
15

B
12

C
8

D
6

Solution

Row 1: 40 + 41 = 81 and √81 = 9
Row 2: 71 + 50 = 121 and √121 = 11
Row 3: 18 + 18 = 36 and √36 = 6
Question 2
1 / -0

The average score of a cricketer in a certain number of innings is 15. When he scores zero in the next innings, his average drops to 13.5. How many innings have been played by him, including the last one?

A
9

B
10

C
11

D
None of these

Solution

Let the number of innings be x.
Total runs scored by the cricketer = 15x
New number of innings = x + 1
Also, new average = 13.5
So, (15x + 0)/(x + 1) = 13.5
15x = 13.5(x + 1)
15x = 13.5x + 13.5
15x - 13.5x = 13.5
1.5x = 13.5
x = 13.5/1.5 = 9
Number of innings played, including the last one = 9 + 1 = 10
Question 3
1 / -0

The ratio of milk and water in a mixture is 3 : 2. If 10 litres of water is added to it, the ratio gets reversed. What is the amount of the total mixture now?

A
10 litres

B
20 litres

C
24 litres

D
30 litres

Solution

Assume the quantities of milk and water to be 3k litres and 2k litres, respectively.
If 10 litres of water is added, the ratio will be
3k/2k+10 = 3/2
⇒ k = 4
So, amount of the mixture = [3k + (2k + 10)] litres = 30 litres.
Question 4
1 / -0

The ratio of salaries of two employees is 2 : 5. Their expenses are in the ratio 1 : 3. What is the income of the second employee (in rupees) if the savings of both of them is Rs. 50?

A
300

B
600

C
500

D
400

Solution

Let Rs. 2x be first employee's income.
And Rs. 5x be second employee's income. So,
(2x - 50)/(5x - 50) = 1/3
6x - 150 = 5x - 50
x = 100
Income of the second employee = Rs. 500
Question 5
1 / -0

The ratio of the number of employees of a company in the first year and that in the second year is 3 : 2. The ratio of the salary of the each employee in the given two years is 4 : 5. So the company saves Rs. 12000. Find the first year expenditure of the company.

A
Rs. 78000

B
Rs. 75000

C
Rs. 60000

D
Rs. 72000

Solution

Employee ratio in the first and second year = 3 : 2
Salary ratio in the first and second year = 4 : 5
Total expenditure of the company in the first and second year = 3 × 4 : 2 × 5 = 12 : 10
So total expenditure is reduced by = 12 - 10 = 2
2 unit = Rs. 12000
1 unit = Rs. 12000/2 = 6000
So, expenditure of the company in the first year = 12 × 6000 = Rs. 72000