MAT (Stage-2) Mock Test

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MAT (Stage-2) Mock Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

A, B, C and D play a game of cards. A says to B, "If I give you 8 cards, you will have as many cards as C has and I shall have 3 cards less than C has. Also, if I take 6 cards from C, I shall have twice as many cards as D has." If B and D together have 50 cards, then how many cards does C have?

A
40

B
35

C
27

D
23

Solution

Clearly, we have
B + 8 = C ... (i)
A – 8 = C – 3 … (ii)
A + 6 = 2D … (iii)
B + D = 50 … (iv)
Putting C = A – 5, from (ii) into (i), we have
B + 8 = A – 5 or A – B = 13 ... (v)
Putting D = 50 – B from (iv) into (iii), we have
A + 6 = 100 – 2B or A + 2B = 94 ... (vi)
Solving (v) and (vi), we get
B = 27 and A = 40
∴ A has 40 cards and C has 35 cards.
Question 2
1 / -0

Among the passed students of a class, Amisha is twenty-second from the top and Sajal, who is 5 ranks below Amisha, is thirty-fourth from the bottom. The ratio of the students who passed the exam to those who failed is 4 : 1. How many students are there in the class?

A
60

B
75

C
90

D
Data inadequate

Solution

Amisha is 22^nd form the top and Sajal is 5 ranks below Amisha.

So, Sajal is 27^th form the top. Also, Sajal is 34^th from the bottom.

∴ Number of students passed = (26 + 1 + 33) = 60

Let the number of students passed and the number of failed students be 4x and x, respectively.

Then, 4x = 60 or x = 15

Hence, number of students in the class = (60 + 15) = 75
Question 3
1 / -0

A man has a certain number of small boxes to pack into parcels. If he packs 3, 4, 5 or 6 boxes in a parcel, then one box is left over. If he packs 7 boxes in a parcel, then none is left over. What is the minimum number of boxes that he may have to pack?

A
106

B
301

C
309

D
400

Solution

Clearly, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5, or 6 and no remainder when divided by 7. Thus, the number must be of the form (LCM of 3, 4, 5, 6)x + 1, i.e. (60x + 1) and a multiple of 7. Clearly, for x = 5, the number is a multiple of 7. So, the number is 301.
Hence, the answer is (2).
Question 4
1 / -0

An institute organised a fest, in which 1/5 of the girls and 1/8 of the boys participated. What fraction of the total number of students took part in the fest?

A
2/13

B
13/40

C
Data inadequate

D
None of these

Solution

We cannot determine the correct ratio until the total number of boys and girls is known.
Question 5
1 / -0

A container of yogurt provides 6 grams of protein, which is 12% of the recommended protein intake per day. How much protein is recommended per day?

A
100 grams

B
50 grams

C
75 grams

D
125 grams

Solution

Let the protein recommended per day be n grams.

According to the question,

12% of n = 6

0.12 × n = 6

0.12n = 6

Or n = 50

Required amount of protein = 50 grams
Question 6
1 / -0

A student has to get 40% of the total marks in order to pass an examination. Shivani secured 220 marks and failed by 20 marks. Calculate the total marks.

A
500

B
540

C
600

D
700

Solution

Marks to pass = 220 + 20 = 240

∴ 40% of the total marks = 240

Let the total marks be x.

40% of x = 240

Or x = 600

Total marks = 600
Question 7
1 / -0

If a man sells a shirt at Rs. 400, he will incur a loss of Rs. 75. At what price should he sell the shirt to make a profit of Rs. 50?

A
Rs. 475

B
Rs. 500

C
Rs. 525

D
Rs. 550

Solution

First case,
SP = Rs. 400
Loss = Rs. 75
So, CP would be SP + Loss.
= 400 + 75 = Rs. 475

Second case,
CP = Rs. 475
Profit = Rs. 50
SP = CP + Profit
SP = Rs. 475 + 50 = Rs. 525

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Re-Attempt Weekly Quiz Competition

MAT (Stage-2) Mock Test - 3

Result

MAT (Stage-2) Mock Test - 3

Score

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Rank

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SHARING IS CARING

Question 1

40

35

27

23

Solution

Question 2

60

75

90

Data inadequate

Solution

Question 3

106

301

309

400

Solution

Question 4

2/13

13/40

Data inadequate

None of these

Solution

Question 5

100 grams

50 grams

75 grams

125 grams

Solution

Question 6

500

540

600

700

Solution

Question 7

Rs. 475

Rs. 500

Rs. 525

Rs. 550

Solution

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