MAT (Stage-2) Mock Test

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MAT (Stage-2) Mock Test - 64

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Weekly Quiz Competition

Question 1
1 / -0

Two cyclists met each other at 10 a.m. on Ferozepur road. After their meeting, one of them proceeded in the north direction and the other proceeded in the east direction. Exactly at noon, they were 60 km apart. If the difference between their speeds was 6 km/hr, then find the speed of the faster cyclist.

A
24 km/hr

B
19 km/hr

C
12 km/hr

D
11 km/hr

Solution

Let the speed of the slower cylclist be x km/hr.
So, the speed of the faster one will be (x + 6) km/hr.
The distance travelled in 2 hr is 2x and 2(x + 6) km.

From Pythagoras theorem:
(2x)²+ [2(x + 6)]² = (60)²
4x² + 4(x² + 36 + 12x) = 3600
8x² + 48x + 144 = 3600
x² + 6x - 432 = 0
(x - 18)(x + 24) = 0
x = 18 or -24 (neglected)
So, the speed of the faster cyclist is 24 km/hr.
Question 2
1 / -0

If three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length, what is the maximum possible length of each plank?

A
7 m

B
14 m

C
42 m

D
63 m

Solution

Maximum possible length would be the HCF of the three given measurements.
42 = 2 × 3 × 7
49 = 7 × 7
63 = 3 × 3 × 7
Therefore, the longest possible length of each plank is 7 m.
Question 3
1 / -0

Three different containers contain different quantities of mixture of milk and water, whose measurements are 403 kg, 434 kg and 465 kg. What biggest measure must be used to measure all the different quantities exactly?

A
1 kg

B
7 kg

C
31 kg

D
41 kg

Solution

HCF of all the measurements:
403 = 13 × 31
434 = 2 × 7 × 31
465 = 3 × 5 × 31
Therefore, the largest measure is 31 kg.
Question 4
1 / -0

Raghav sold two books having the same cost price, one for Rs. 673 and the other for Rs. 467. The profit he attained on selling the book for Rs. 673 was equal to the loss he incurred on selling the other book for Rs. 467. Find out the cost price of one book.

A
Rs. 1140

B
Rs. 570

C
Rs. 590

D
Rs. 620

Solution

Let CP of each book be X.
From the above given values,
Profit by selling book for Rs. 673 = Loss by selling book for Rs. 467
673 - X = X - 467
2X = 673 + 467
2X = 1140
X = Rs. 570
Therefore, cost price of one book = Rs. 570
Question 5
1 / -0

After purchasing a few stationery items at cost price of Rs. 800, Aman sold half of the items at a profit of 10%. Calculate the profit percentage at which he must sell the remaining items in order to attain the overall gain of 22%.

A
34%

B
30%

C
22%

D
20%

Solution

Let the items purchased by Aman = 100i at cost of 100c for each item.
Therefore,
100i × 100c = Rs. 800
Now, consider profit percentage of remaining goods = p
Then,
50i × 110c + (50i) × (100c + p) = (100i) × (122c)
^{⇒ 50p = 1700c}
⇒ p = 34c
So, the profit percent at which Aman must sell the remaining items to have overall profit of 22% is 34%.
Question 6
1 / -0

A group of three friends named Ria, Reena and Richa initiated a gift packing business by infusing Rs. 26,000, Rs. 39,000 and Rs. 52,000, respectively. Richa quit the partnership after 8 months. The business attained a profit of Rs. 46,000 after completion of one year. Calculate the amount that Richa holds in the profits.

A
Rs. 16,000

B
Rs. 18,000

C
Rs. 24,000

D
Rs. 20,444.4

Solution

From the given values, the respective shares in terms of ratio for Ria, Reena and Richa in the attained profits
= 26,000 × 12 : 39,000 × 12 : 52,000 × 8 = 6 : 9 : 8

Share of profit attained by Richa after 8 months = [8/(6 + 9 + 8)] × 46,000 = Rs. 16,000
Question 7
1 / -0

Radha gained 25% on selling a doll to Seema. Seema further sold the doll to Karishma with 15% profit. The profit made by Seema was Rs. 25 less than that made by Radha. Determine the cost of the doll purchased by Radha.

A
Rs. 400

B
Rs. 350

C
Rs. 500

D
Rs. 425

Solution

Assume the cost price of doll to be Rs. c.
Now, profit made by Radha = 25/100 × c = 0.25c
Price at which Radha sold the doll = c + 0.25c = 1.25c
Cost price of the doll for Seema = 1.25c
Profit made by Seema = 15/100 × 1.25c = 0.1875c
As per the given question,
0.25c = 0.1875c + 25
0.0625c = Rs. 25
c = Rs. 400
Required cost = Rs. 400
Question 8
1 / -0

Directions For Questions

Given in the following table are a row containing mathematical operators and a row containing letters/symbols below it. Each letter/symbol in the row below denotes the corresponding operator in the row above. The question below represents mathematical operators in terms of symbols and letters.

Operators + - ÷ × > < =

Symbols/letters # * ó J I A H

...view full instructions

What is the value of (6 ó 3 # 8 # 3 J 5 # 3) ó 4 # 3 J 7 H?

A
56

B
55

C
28

D
27

Solution

(6 ÷ 3 + 8 + 3 ×5 + 3) ÷4 + 3 ×7
= (2 + 8 + 15 + 3) ÷4 + 21
= 28 ÷ 4 + 21
= 28
Question 9
1 / -0

If + means ÷, × means +, - means ×, and ÷ means -, then what will be the value of 18 × 44 + 11 × 3 - 2?

A
23

B
24

C
27

D
28

Solution

After writing proper notations, we get:
18 + 44 ÷ 11 + 3 × 2
= 18 + 4 + 6
= 28
Question 10
1 / -0

If A means +, B means -, C means ×, and D means ÷, then what will be the value of 16 D 8 A 4 B 8 C 4?

A
-26

B
-25

C
-24

D
25

Solution

After writing proper notations, we get:
16 ÷ 8 + 4 - 8 × 4
= 2 + 4 - 32
= -26
Question 11
1 / -0

If E means ×, F means ÷, G means -, and H means +, then what will be the value of 8 F 8 H 8 E 8 G 8?

A
53

B
54

C
55

D
57

Solution

After writing proper notations, we get: 8 ÷ 8 + 8 × 8 - 8
= 1 + 64 - 8
= 57
Question 12
1 / -0

If P means ÷, Q means -, R means +, and S means ×, then what will be the value of 40 R 30 P 5 Q 4 S 3?

A
32

B
34

C
35

D
37

Solution

After writing proper notations, we get: 40 + 30 ÷ 5 - 4 × 3
= 40 + 6 - 12
= 46 - 12
= 34
Question 13
1 / -0

Directions For Questions

Study the following information and answer the question given below it.

...view full instructions

In the diagram given above, which region represents people who know more than three languages?

A
c

B
e

C
d

D
b

Solution

Region 'e' represents people who know more than 3 languages. These languages are French, Russian, English and Hindi.
Question 14
1 / -0

Directions For Questions

Read the following information and answer the question given below.

There are four intersecting circles representing the numbers of players who can play football, cricket, volleyball and hockey. The various sections indicated in the diagram hold the relations given below the diagram.

...view full instructions

The players who cannot play hockey and volleyball but can play the other two games are represented by section

A
B

B
J

C
I

D
M

Solution

The players who cannot play hockey and volleyball but can play the other two games (cricket and football) are represented by section B.
Question 15
1 / -0

Directions For Questions

Study the following information and answer the question given below it.

...view full instructions

In the diagram above, region 'c' represents the people who know

A
one language only

B
three languages

C
two languages

D
more than three languages

Solution

The region 'c' is common to three shapes, representing peoples who speak three different languages. These languages are Sanskrit, English and Hindi.

So, 'c' represents people who know all three of these languages.

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Operators	+	-	÷	×	>	<	=
Symbols/letters	#	*	ó	J	I	A	H

MAT (Stage-2) Mock Test - 64

Result

MAT (Stage-2) Mock Test - 64

Score

-

Rank

-

SHARING IS CARING

Question 1

24 km/hr

19 km/hr

12 km/hr

11 km/hr

Solution

Question 2

7 m

14 m

42 m

63 m

Solution

Question 3

1 kg

7 kg

31 kg

41 kg

Solution

Question 4

Rs. 1140

Rs. 570

Rs. 590

Rs. 620

Solution

Question 5

34%

30%

22%

20%

Solution

Question 6

Rs. 16,000

Rs. 18,000

Rs. 24,000

Rs. 20,444.4

Solution

Question 7

Rs. 400

Rs. 350

Rs. 500

Rs. 425

Solution

Question 8

56

55

28

27

Solution

Question 9

23

24

27

28

Solution

Question 10

-26

-25

-24

25

Solution

Question 11

53

54

55

57

Solution

Question 12

32

34

35

37

Solution