MAT (Stage-2) Mock Test

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MAT (Stage-2) Mock Test - 50

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Weekly Quiz Competition

Question 1
1 / -0

Identify the pattern followed in the given figures and find the missing term in the third figure.

A
25

B
35

C
49

D
50

Solution
Question 2
1 / -0

Which of the following will replace the question mark (?).

A
18

B
12

C
22

D
14

Solution
Question 3
1 / -0

Four men can dig a pit in 15 days. A man is 1.5 times more efficient than a boy. What will be the number of days taken by 8 men and 6 boys to complete the same work?

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

A man can cover a certain distance in 10 hours. He travels the first half of the journey at a speed of 21 km/hr and the second half at a speed of 24 km/hr. Find the total distance (in km) travelled by him.

A
234

B
230

C
224

D
220

Solution

Let the total distance be 2x.

For first half, time taken = x/21 hr

For second half, time taken = x/24 hr

According to question,
Question 5
1 / -0

Bob and Smith together can finish a piece of work in 8 days. Both started the work together. After 3 days, Bob fell ill. Smith alone finished the remaining work in 15 days. How many days would Bob take, working alone, to finish that work?

A
10 days

B
11 days

C
12 days

D
15 days

Solution
Question 6
1 / -0

Mr. Mahajan borrowed some money from a friend at the rate of 8% p.a. He repaid his debt by paying Rs. 17,400 at the end of 2 years. How much money had he borrowed?

A
Rs. 15,000

B
Rs. 16,000

C
Rs. 17,000

D
Rs. 17,200

Solution

Rate = 8% p.a.
Amount = Rs. 17,400
Time = 2 years
Let principal be P.
According to the question,
Question 7
1 / -0

A shopkeeper incurred a loss of 10% by selling a CD player for Rs. 1800. At what price did the shopkeeper buy the CD player?

A
Rs. 2000

B
Rs. 2100

C
Rs. 2200

D
Rs. 2250

Solution

Loss % = 10%
Question 8
1 / -0

A man buys some candies. If he sells them at Rs. 200, he will make a profit of Rs. 25. At what price should he sell them to make a profit of Rs. 50?

A
Rs. 190

B
Rs. 196

C
Rs. 200

D
Rs. 225

Solution

1^stcase:
S.P. = Rs. 200
Profit = Rs. 25
∴ C.P. = S.P. - Profit
= 200 - 25 = Rs. 175

2^nd case:
C.P. = Rs. 175
Profit = Rs. 50
∴ He should sell the candies at the price of 175 + 50 = Rs. 225
Question 9
1 / -0

Rajan sold a cycle at a loss of Rs. 400. If he had sold it at Rs. 4800, he would have made a profit of Rs. 800. At what price did he sell the cycle?

A
Rs. 3200

B
Rs. 3600

C
Rs. 4000

D
Rs. 4400

Solution

1^st case:
Loss = Rs. 400

2^nd case:
If S.P. = Rs. 4800
Profit = Rs. 800
∴ C.P. = S.P. - Profit
C.P. = 4800 - 800 = Rs. 4000
∴ S.P. = C.P. - Loss = (4000 - 400) = Rs. 3600
Question 10
1 / -0

A man weighs 80 kg. His wife's weight is 25% less than his weight. If their son weighs 10% more than his mother, calculate the weight of the son.

A
50 kg

B
54 kg

C
60 kg

D
66 kg

Solution
Question 11
1 / -0

In a proportion, the 1^st, 2^nd and 3^rd terms are 27, 18 and 54, respectively. What is the 4^th term?

A
24

B
28

C
32

D
36

Solution
Question 12
1 / -0

A rope of length 2 m and 50 cm is cut into two pieces, such that the ratio of the lengths of pieces is 3 : 2. What is the length of the longer piece?

A
1 m

B
1 m and 75 cm

C
1 m and 50 cm

D
2 m

Solution

According to the question,
Ratio = 3 : 2
First term = 3
Second term = 2
Total length = 2 m and 50 cm = 200 + 50 = 250 cm
Question 13
1 / -0

Upon selling an article for Rs. 240, a trader incurs a loss of 4%. At what amount must he sell the article to make a profit of 10%?

A
Rs. 225

B
Rs. 207

C
Rs. 275

D
Rs. 280

Solution

SP = Rs. 240
Loss = 4%
SP = CP - 4% of CP
^∴0.96CP = Rs. 240
^⇒CP = Rs. 250
To make profit of 10%
New SP = CP + 10% of CP
New SP = Rs. (250 × 110)/100 = Rs. 250 × 1.1 = Rs. 275
Question 14
1 / -0

A cone of height 15 cm and diameter 7 cm is mounted on a hemisphere of same radius. The volume of the combination is

A
285.33 cm³

B
385.33 cm³

C
282.33 cm³

D
182.33 cm³

Solution

h = 15 cm
D = 7 cm

r = D/2, 3.5 cm

Volume of figure = Volume of cone + Volume of hemisphere
Question 15
1 / -0

A man purchased a packet of 10 pens and got 2 pens free with it. He marked the price 20% more than the C.P. If he did not allow any discount and sold all the 12 pens at this price, what was his profit percentage?

A
20%

B
40%

C
44%

D
50%

Solution

Let the cost price of the packet of pens be Rs. 100.
So, cost of 1 pen = Rs. 10
SP of 1 pen = Rs. 10 + 20% of 10 = Rs. 12
SP of 12 pens = 12 x 12 = Rs. 144