MAT (Stage-2) Mock Test

Result

MAT (Stage-2) Mock Test - 10

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
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 2
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 3
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
Question 4
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 r₁ and r₂, respectively.

Circumference of circle = 2π x (radius of circle)

According to the question,

2π r₂ – 2π r₁ = 44

r₂ - r₁ = 7 cm

Increase in radius = 7 cm
Question 5
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 6
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
Question 7
1 / -0

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

+ – X ÷ = > <

B G E C D A F

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.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

+	–	X	÷	=	>	<
B	G	E	C	D	A	F

MAT (Stage-2) Mock Test - 10

Result

MAT (Stage-2) Mock Test - 10

Score

-

Rank

-

SHARING IS CARING

Question 1

256 cm2

128 cm2

64√2 cm2

64 cm2

Solution

Question 2

1.2 kg

2.4 kg

3 kg

Cannot be determined

Solution

Question 3

35 years

40 years

70 years

84 years

Solution

Question 4

11 cm

22 cm

4 cm

7 cm

Solution

Question 5

Rs. 600

Rs. 650

Rs. 700

Rs. 750

Solution

Question 6

25

27

29

36

Solution

Question 7

18 C 3 D 6 B 8 C 4 G 12

18 A 3 E 6 B 8 G 4 B 12

18 C 3 G 6 B 8 B 4 D 12

18 F 3 B 6 E 8 G 4 E 12

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

256 cm²

128 cm²

64√2 cm²

64 cm²