MAT (Stage-1) Mock Test

Result

MAT (Stage-1) Mock Test - 23

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following will replace the question mark (?) in the grid given below?

81 121 20

36 ? 14

49 64 15

A
25

B
36

C
64

D
49

Solution

(√21 + √81) = 20; (√49 + √64) = 15 (Row-wise)
The missing number is (√36 + √x) = 14
So, x = 64
Question 2
1 / -0

In a town, 65% of the people watch news on television, 40% read newspaper and 25% read newspaper and watch news on television also. What percentage of the people neither watch news on television nor read newspaper?

A
5%

B
10%

C
15%

D
20%

Solution

n(a + b) = n(a) + n(b) - n(a × b), here + and × represents OR and AND

So, n(a + b) = 65 + 40 - 25 = 80

So, 20% people neither watch TV nor read newspaper.
Question 3
1 / -0

Five years ago, Vinay's age was one-third the age of Vikram's age at that time and now Vinay's age is 17 years. What is the present age of Vikram?

A
9 years

B
36 years

C
41 years

D
51 years

Solution

Vinay's present age = 17 years
∴Five years ago, Vinay's age = (17 - 5) years = 12 years
Five years ago, Vikram's age = (12 × 3) years = 36 years
Hence, Vikram's present age = (36 + 5) years = 41 years
Question 4
1 / -0

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

A
35 years

B
40 years

C
70 years

D
84 years

Solution

The present age of Arvind and his father is x and 4x, respectively.
Five years ago, the age of Arvind and his father become (x - 5) and (4x - 5), respectively.
According to the question,
∴ 4x - 5 = 7(x - 5)
4x - 5 = 7x - 35
7x - 4x = 35 - 5
3x = 30
x = 10
Father's present age = 4x = 4 × 10 = 40 years
Question 5
1 / -0

A number consists of two digits, whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number?

A
47

B
65

C
83

D
92

Solution

Let x be in tens place and y in units place.
Therefore, the number is 10x + y.
Given, x + y = 11
Also, on adding 27 to the number, the new number becomes 10y + x.
=> 10x + y + 27 = 10y + x
=> x - y = - 3
Solving these two equations,
x = 4, y = 7
Hence, the number is 47.
Question 6
1 / -0

A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1 : 2 : 3. If the total value of the coins is Rs. 36, find the number of 25 paise coins.

A
40

B
63

C
60

D
65

Solution

Let x be the number of 25 paise coins.
∴ Number of 10 paise coins = 2x
∴ Number of 5 paise coins = 3x
Total value of the coins = 25x + 10 × 2x + 5 × 3x = 3600 paise
⇒ 25x + 20x + 15x = 3600
⇒ x = 3600/60 = 60
∴ Number of coins of 25 paise = 60
Question 7
1 / -0

The marked price of a jacket is $1050. A shopkeeper earns a profit of 25% even after offering a discount of 10%. At what price does he purchase the jacket himself?

A
$682.50

B
$756

C
$856

D
$905

Solution

MP of jacket = $1050
SP after 10% discount = 1050 - 10% of 1050 = $945
Let CP of jacket be x.
According to the question:
1.25x = 945
x = 945 × 100/125 = $756
Question 8
1 / -0

A man sells an article at a gain of 10%. If he had bought it at 10% less and sold it for Rs. 132 less, he would have still gained 10%. The cost price of the article is

A
Rs. 1200

B
Rs. 1188

C
Rs. 1320

D
Rs. 1336

Solution

SP = 1.1 CP
New cost price = 0.9 CP
New selling price = SP - 132
According to the given condition,
SP - 132 = 1.1(0.9 CP)
1.1 CP - 132 = 0.99 CP
0.11 CP = 132
CP = Rs. 1200
Question 9
1 / -0

A can do a piece of work in 30 days while B can do it in 40 days. In how many days can A and B working together do it?

A
70 days

B
171/4 days

C
190/7 days

D
120/7 days

Solution

A's one day work = 1/30
B's one day work = 1/40
One day work of both A and B = 1/30+1/40
= 4+3/120 = 7/120
Hence, they together will complete the work in 120/7 days.

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Re-Attempt Weekly Quiz Competition

81	121	20
36	?	14
49	64	15

MAT (Stage-1) Mock Test - 23

Result

MAT (Stage-1) Mock Test - 23

Score

-

Rank

-

SHARING IS CARING

Question 1

25

36

64

49

Solution

Question 2

5%

10%

15%

20%

Solution

Question 3

9 years

36 years

41 years

51 years

Solution

Question 4

35 years

40 years

70 years

84 years

Solution

Question 5

47

65

83

92

Solution

Question 6

40

63

60

65

Solution

Question 7

$682.50

$756

$856

$905

Solution

Question 8

Rs. 1200

Rs. 1188

Rs. 1320

Rs. 1336

Solution

Question 9

70 days

171/4 days

190/7 days

120/7 days

Solution

User

Question Analysis

My Perfomance

Score

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