MAT (Stage-2) Mock Test

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MAT (Stage-2) Mock Test - 43

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Weekly Quiz Competition

Question 1
1 / -0

Mr. Raju invested Rs. 2000 in the business of fast food. It flourished rapidly and brought a 50% profit every year. Instead of taking out the profit, it was added to the capital every year. What was his total investment in the business at the end of 5 years?

A
Rs. 10,125

B
Rs. 13,150.50

C
Rs. 15,187.50

D
None of these

Solution

This is the question of amount compounded annually.
Let the total investment after five years be A.
Question 2
1 / -0

The area of the largest square that can be inscribed in a circle of radius 8 cm is

A
256 cm²

B
128 cm²

C
64√2 cm²

D
64 cm²

Solution

Length of the diagonal of the square = diameter of the circle = 16 cm
Side of the square = diagonal of the square/√2
= 16/√2 = 8√2 cm
Area of the square = 8√2 x 8√2 = 128 cm²
Question 3
1 / -0

How many balls, each of diameter 2 cm, can be made out of a cube of edge 22 cm?

A
5324

B
2662

C
2541

D
1347

Solution

Volume of cube = (edge)³
Question 4
1 / -0

In an alloy of 24 kg, there is 60% of copper, 30% of zinc and 10% of silver by weight. What amount of silver should be added to this alloy to make the ratio of copper, zinc and silver as 4 : 2 : 1?

A
1.2 kg

B
2.4 kg

C
3 kg

D
Cannot be determined

Solution

Total = 24 kg
To make the ratio 4 : 2 : 1, we need to add 5% by mass of 24 kg of silver more.
Then, [(60 : 30 : (10 + 5)) = 4 : 2 : 1]
So, 5% of 24 kg = 1.2 kg
Question 5
1 / -0

The age of Arvind's father is 4 times Arvind's age. If 5 years ago, his father's age was 7 times the age of his son, what is the present age of Arvind's father?

A
35 years

B
40 years

C
70 years

D
84 years

Solution

Let Arvind's age 5 years ago (in years) be a.
Father's age 5 years ago = 7a
Arvind's present age = a + 5
Father's present age = 7a + 5
According to the question,
7a + 5 = 4(a + 5)
Or a = 5
Thus, father's present age = 7a + 5 = 7 x 5 + 5 = 40
Hence, the present age of Arvind's father is 40 years.
Question 6
1 / -0

In one mixture, the ratio of milk to water by volume is 2 : 3. In another mixture, the ratio of water to milk by volume is 3 : 4. If 70 litres of each type of mixture are added to 100 litres of pure milk, what will be the new ratio of milk to water by volume?

A
3 : 4

B
4 : 5

C
5 : 2

D
7 : 3

Solution

70 litres of the first type ⇒ 2/5× 70 = 28 litres of milk
70 litres of the second type = 4/7× 70 = 40 litres of milk
100 litres of pure milk = 100 litres of milk
Out of total 240 litres, we have, 168 litres of milk.
So, the remaining is 72 litres of water.
So, required ratio = 168/72= 7/3
Question 7
1 / -0

If the radius of a circle is increased by some length, then its circumference increases by 44 cm. Find the increase in radius.

A
11 cm

B
22 cm

C
4 cm

D
7 cm

Solution

Let the old and new radii of the circle be r₁and r₂, respectively.
Circumference of circle = 2π x (radius of circle)
According to the question,
2πr₂ – 2πr₁ = 44
r₂ - r₁ = 7 cm
Increase in radius = 7 cm
Question 8
1 / -0

If the loss is 20% by selling a table for Rs. 144, the loss is equal to

A
Rs. 28

B
Rs. 30

C
Rs. 36

D
Rs. 22

Solution

Selling price = Rs. 144
Cost price = x
So,
CP - 20% of CP = 144
Question 9
1 / -0

A group of 4 men can dig a pit in 15 days. If a man works one-and-a-half times as much as a boy, then 8 men and 6 boys will dig the pit in

A
6 days

B
10 days

C
7 days

D
5 days

Solution

Work done by boy = b
Work done by man = m
According to question,
m = 1.5b
Let, 8 men and 6 boys take x days to complete the work.
Work equivalence method
4m × 15 days/1 pit = (8 m + 6b) × x days/1 pit
4 (1.5 b) × 15 = (8(1.5b) + 6b) × x)
4 × 1.5 × 15 b = (12 b + 6b) × x)
90b = 18 b × x
x = 5
Therefore 8 men and 6 boys will do it in 5 days.
Question 10
1 / -0

If a man takes 4 hours to cover a distance of 15 km, how much time will be needed to cover 63 km at the same speed?

A
12 hours 36 minutes

B
16 hours 48 minutes

C
16 hours 4 minutes

D
15 hours 32 minutes

Solution
Question 11
1 / -0

Sea water contains 2½% of salt by weight. The weight of sea water required to yield 1 kg of salt is

A
10 kg

B
25 kg

C
40 kg

D
None of these

Solution
Question 12
1 / -0

For a certain article, if the discount is 20%, the profit is 50%. If the discount is 16%, then the profit is

A
57.5%

B
60%

C
55%

D
65%

Solution

Let the cost price of the article be Rs. 100.
Let the MP of the article by 'x'.
If the discount is 20%, the SP is 0.8x.
But profit = 50%
Therefore, SP = 100 + 50 = 150
0.8x = 150
Question 13
1 / -0

A shopkeeper fixes the marked price of an article at 30% above its cost price. He gives 10% discount on the marked price. A customer purchased the article for Rs. 702. How much did the shopkeeper pay for that article?

A
Rs. 600

B
Rs. 650

C
Rs. 700

D
Rs. 750

Solution

Let CP = x
Thus, MP = 1.3x
SP = (1.3x) × (0.9) = 1.17x
According to the question,
702 = 1.17x
x = 702/1.17 = Rs. 600
Shopkeeper paid Rs. 600 for the article.
Question 14
1 / -0

If $ means +, # means –, @ means ×, and ! means ÷, then what is the value of 16 $ 4 @ 5 # 72 ! 8?

A
25

B
27

C
29

D
36

Solution

16 $ 4 @ 5 # 72 ! 8 means 16 + 4 × 5 - 72 ÷ 8 = 27.

^⇒16 + 20 - 9

⇒ 36 - 9 = 27

Hence, option 2 is correct.
Question 15
1 / -0

Directions For Questions

In the following question, some symbols are represented by letters as shown below.

+ – X ÷ = > <

B G E C D A F

...view full instructions

Now, identify the correct expression.

A
18 C 3 D 6 B 8 C 4 G 12

B
18 A 3 E 6 B 8 G 4 B 12

C
18 C 3 G 6 B 8 B 4 D 12

D
18 F 3 B 6 E 8 G 4 E 12

Solution

18 C 3 G 6 B 8 B 4 D 12 means 18 ÷ 3 - 6 + 8 + 4 = 12.

⇒ 6 - 6 + 8 + 4 = 12

⇒ 12 = 12; which is mathematically correct.

Hence, option 3 is correct.

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MAT (Stage-2) Mock Test - 43

Result

MAT (Stage-2) Mock Test - 43

Score

-

Rank

-

SHARING IS CARING

Question 1

Rs. 10,125

Rs. 13,150.50

Rs. 15,187.50

None of these

Solution

Question 2

256 cm2

128 cm2

64√2 cm2

64 cm2

Solution

Question 3

5324

2662

2541

1347

Solution

Question 4

1.2 kg

2.4 kg

3 kg

Cannot be determined

Solution

Question 5

35 years

40 years

70 years

84 years

Solution

Question 6

3 : 4

4 : 5

5 : 2

7 : 3

Solution

Question 7

11 cm

22 cm

4 cm

7 cm

Solution

Question 8

Rs. 28

Rs. 30

Rs. 36

Rs. 22

Solution

Question 9

6 days

10 days

7 days

5 days

Solution

Question 10

12 hours 36 minutes

16 hours 48 minutes

16 hours 4 minutes

15 hours 32 minutes

Solution

Question 11

10 kg

25 kg

40 kg

None of these

Solution

Question 12

57.5%

60%

55%

65%

Solution

256 cm²

128 cm²

64√2 cm²

64 cm²