MAT (Stage-1) Mock Test

Result

MAT (Stage-1) Mock Test - 83

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Weekly Quiz Competition

Question 1
1 / -0

A man sells his book at 7% loss. If he sells it for Rs. 75 more, he will gain 8%. Find the cost price (Rs.) of the book.

A
500

B
400

C
550

D
480

Solution

Let CP of the book = 100 units
CP = 100
Loss = 7% = 7
After loss, selling price = 100 - 7 = 93
Gain = 8% = 8
After profit, selling price 100 + 8 = 108
Difference = 108 - 93 = 15
15 unit = 75
1 unit = 75/15 = 5
100 unit = 5 × 100 = 500
CP of book = Rs. 500
Question 2
1 / -0

A milkman bought 80 litre milk for Rs. 960 and added 15 litre water. If he sells it at Rs. 13 per litre, his profit percentage is

A
26.65%

B
28.65%

C
28%

D
30.46%

Solution

CP of 80 litre milk = Rs. 960
Add 15 litre of water.
Now, solution becomes 95 litre.
CP of water = Rs. 0
SP of 1 litre milk = Rs. 13
SP of 95 litre milk = 13 × 95 = Rs. 1235
Profit = SP - CP = 1235 - 960 = 275
Profit % = 275/960 × 100 = 28.65%
Question 3
1 / -0

A chair costing Rs. 972 was sold by Rohan at a gain of 8% to Karan and it was again sold by Karan at a loss of 6%. At what price did Karan sell the chair?

A
Rs. 976.78

B
Rs. 997.78

C
Rs. 986.78

D
Rs. 995.78

Solution

CP = Rs. 972
8% profit on CP = 8/100 × 972 = Rs. 77.76
SP of chair for Rohan = 972 + 77.76 = Rs. 1049.76
6% loss on CP = 6/100 × 1049.76 = Rs. 62.98
SP of chair for Karan = 1049.76 - 62.98 = Rs. 986.78
Question 4
1 / -0

An alloy contains 24% tin by weight. How much tin (to the nearest kg) must be added to 100 kg of the alloy, so that the percentage of tin may be doubled?

A
24 kg

B
34 kg

C
38 kg

D
46 kg

Solution

Let X kg of tin be added to the alloy.

Tin (kg) Alloy (kg)

24 100

24 + X 100 + X

⇒ (24 + X)/(100 + X) = 2(24/100)
⇒ X = 46 (nearest)
Hence, 46 kg of tin must be added to the alloy.
Question 5
1 / -0

The ratio of wheat to rice in container A is 2 : 3 and that in container B is 3 : 7. What quantities (in kg) must be taken from A and B, respectively to form a mixture containing 5 kg of wheat and 11 kg of rice?

A
6, 10

B
4, 12

C
2, 14

D
8, 8

Solution

Let X kg of mixture be taken from A.
Then, (16 - X) kg is taken from B.
⇒ 2X/5 kg of wheat from A and 3(16 - X)/10 kg of wheat from B is to be taken. Now, we have
2X/5 + 3(16 - X)/10 = 5 or X = 2 kg
⇒ 2 kg from A and 14 kg from B must be taken.
Question 6
1 / -0

In how much time, at simple interest, will a sum of money double itself at 20%?

A
4 years

B
5 years

C
6 years

D
8 years

Solution

Amount is double the principal.
Let principal = P, so amount = 2P
Therefore, SI = A - P = 2P - P = P (Given rate = 20%)
Question 7
1 / -0

The difference between simple interest and compound interest on a certain sum of money for 3 years at 10% p.a. is Rs. 46.50. Find the sum.

A
Rs. 1000

B
Rs. 1200

C
Rs. 1500

D
Rs. 1550

Solution

Given CI - SI = Rs. 46.50
Question 8
1 / -0

John and Jeevan invested some money at the same rate of simple interest. If their principals are in the ratio 5 : 6 and their time periods are in the ratio 3 : 2, then what is the ratio of interest obtained by them?

A
4 : 5

B
3 : 5

C
5 : 4

D
5 : 3

Solution

Ratio of principal = 5 : 6 and ratio of time = 3 : 2
Let`s say, principal for John = 5x and time = 3y years and principal for Jeevan = 6x and time = 2y years
Rate is same, so let `R` be the rate.
Required ratio is

Ratio of simple interest = 5 : 4
Question 9
1 / -0

Ram and Shyam enter into a partnership with their share of capital in the ratio 5 : 8. Ram withdrew his money after six months and they divided the profit in the ratio 5 : 4 after one year. For how long was Shyam's capital used?

A
3 months

B
4 months

C
6 months

D
5 months

Solution

Suppose, Shyam's money was used for 'x' months.
Then, ratio of their profit
R : S = 5 × 6 : 8x = 5 : 4

30/8x = 5/4

6/2x = 1

x = 3 months
Question 10
1 / -0

A puts 1/2 of the total capital for 1/2 of the total time, B puts 1/3 of the total capital for 2/3 of the total time and C puts rest of the capital for the whole time. Then, the ratio of their profits is

A
9 : 8 : 6

B
7 : 8 : 6

C
6 : 7 : 9

D
7 : 9 : 6

Solution
Question 11
1 / -0

Gaurav, Nitesh and Iqbal invested some money in a business in the ratio 14 : 40 : 27. After one year, they revised their shares in the ratio 19 : 55 : 37. What is the change in Iqbal's share?

A
10% increase

B
10% decrease

C
38% increase

D
None of these

Solution

Let total investment be I.

So, no change is there in his share.
Question 12
1 / -0

If K means +, L means -, M means × and N means ÷, then what will be the value of 15 K 3 L 4 N 2 M 3?

A
8

B
9

C
10

D
12

Solution

After writing proper notations, we get 15 + 3 - 4 ÷ 2 × 3.
= 15 + 3 - 6
= 12
Question 13
1 / -0

How many such pairs of letters is/are there in the word CLEARING, each of which has two letters between them in the word as also in the alphabet?

A
Nil

B
One

C
Two

D
Three

Solution

No pair of letters is there in the word CLEARING, each of which has two letters between them in the word as also in the alphabet
Question 14
1 / -0

If the positions of the fifth and twelfth letters of the word GLORIFICATIONS are interchanged and likewise, the positions of the fourth and fourteenth letters, the third and tenth letters, the second and eleventh letters and the first and thirteenth letters are interchanged, then which of the following will be the twelfth letter from the right end?

A
I

B
O

C
R

D
T

Solution

After interchanging the positions (according to question), the word formed is NITSOFICAOLIGR. So, twelfth from right end is T.
Question 15
1 / -0

If in the word DISTURBANCE, the first letter is interchanged with the last letter, the second letter is interchanged with the tenth letter and so on, then which of the following letters would come after `T` in the newly formed word?

A
I

B
N

C
S

D
D

Solution

According to given rule, the word 'DISTURBANCE' is written as
E C N A B R U T S I D
It is clear that the letter S comes after T.

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Re-Attempt Weekly Quiz Competition

Tin (kg)	Alloy (kg)
24	100
24 + X	100 + X

MAT (Stage-1) Mock Test - 83

Result

MAT (Stage-1) Mock Test - 83

Score

-

Rank

-

SHARING IS CARING

Question 1

500

400

550

480

Solution

Question 2

26.65%

28.65%

28%

30.46%

Solution

Question 3

Rs. 976.78

Rs. 997.78

Rs. 986.78

Rs. 995.78

Solution

Question 4

24 kg

34 kg

38 kg

46 kg

Solution

Question 5

6, 10

4, 12

2, 14

8, 8

Solution

Question 6

4 years

5 years

6 years

8 years

Solution

Question 7

Rs. 1000

Rs. 1200

Rs. 1500

Rs. 1550

Solution

Question 8

4 : 5

3 : 5

5 : 4

5 : 3

Solution

Question 9

3 months

4 months

6 months

5 months

Solution

Question 10

9 : 8 : 6

7 : 8 : 6

6 : 7 : 9

7 : 9 : 6

Solution

Question 11

10% increase

10% decrease

38% increase

None of these

Solution

Question 12

8

9

10

12

Solution