MAT (Stage-1) Mock Test

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MAT (Stage-1) Mock Test - 55

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Weekly Quiz Competition

Question 1
1 / -0

The problem below consists of a question and two statements numbered I and II. You have to decide which of the two given statements is/are sufficient to answer the given question. Read both the statements carefully and choose the correct option.

In a row of girls, how many girls are there?

I. A and B occupy the ninth place from the right end and the tenth place from the left end respectively.
II. M and V occupy the seventeenth place from the right end and the eighteenth place from the left end respectively.

A
Statement I alone is sufficient to answer the question, while statement II alone is not sufficient to answer the question.

B
Statement II alone is sufficient to answer the question, while statement I alone is not sufficient to answer the question.

C
Either statement I alone or statement II alone is sufficient to answer the question.

D
Both the statements I and II are not sufficient to answer the question.

Solution

From I:

How many girls are there between A and B cannot be determined. Hence total number of girls cannot be determined.

From II:

How many girls are there between M and V cannot be determined. Hence total number of girls cannot be determined.

Both the statements I and II together are not sufficient to answer the question because there is no relation between I and II.
Question 2
1 / -0

In this problem, a question is followed by two statements numbered I and II. You have to decide which of the two given statements is/are sufficient to answer the given question. Read the statements carefully and choose the correct option.

Who among A, B, C, D, E and F read the book at the last?

I. F, who gave the book to B after reading, was the third one to read the same.
II. C, who received the book from A, let the book be read by two other persons before it was handed over to E.

A
Statement I alone is sufficient to answer the question, but statement II alone is not sufficient to answer the question.

B
Statement I alone is not sufficient to answer the question, but statement II alone is sufficient to answer the question.

C
Each statement alone is sufficient to answer the question.

D
Both statements I and II together are sufficient to answer the question.

Solution

From I, the arrangement will be _ _ F B _ _.

From II, the arrangement will be A C _ _ E _.

Combining I and II, we get

A C F B E D
Question 3
1 / -0

In a code language, TUTORIAL is written as DODNGLCF and DANCE is written as YCJMZ. How can EDUCATION be written in that code?

A
ZYMODCLNJ

B
ZYOMCDLNJ

C
ZYOMDCLNJ

D
ZYOTNLCMD

Solution

According to the given information, TUTORIAL is written as DODNGLCF and DANCE is written as YCJMZ.
So, T is coded as D, U is coded as O, O is coded as N, R is coded as G, I is coded as L, A is coded as C, L is coded as F, D is coded as Y, N is coded as J, C is coded as M and E is coded as Z.
So, the code for EDUCATION will be ZYOMCDLNJ.
Question 4
1 / -0

If in a code language, ORGANISATION is written as CBDWLQJWYQCL and OPERATION is written as CXFBWYQCL, then how is the word SEPARATION written?

A
EJXEBEYQCL

B
JFQYWBCXQL

C
JFXWBWYQCL

D
QCLYWBFXJE

Solution

According to the given information, ORGANISATION is coded as CBDWLQJWYQCL and OPERATION is coded as CXFBWYQCL.
Here, O is coded as C, R is coded as B, N is coded as L, S is coded as J, E is coded as F, P is coded as X, R is coded as B, A is coded as W, T is coded as Y, I is coded as Q,
So, SEPARATION will be written as JFXWBWYQCL.
Question 5
1 / -0

In a certain code language, CERTAIN is coded as XVIGZRM and SEQUENCE is coded as HVJFVMXV. How would MUNDANE be coded in that language?

A
NFMWZMX

B
NFMWZMV

C
NFMXZMV

D
None of these

Solution

To obtain the code, each letter in the word is to be replaced by the letter which occupies the same position from the other end of the alphabetical series.
Therefore, MUNDANE will be written as 'NFMWZMV'.
Question 6
1 / -0

Maya starts from point T and walks straight towards east to point U, which is 4 ft away. She turns 90° to the left and walks to point W, which is 4 ft away. Again, she turns 90° to the right and walks 3 ft to point P. She then turns 90° to the right and walks another 1 ft to point Q. She further turns 90° to the left and walks to point V, which is 1 ft away. Finally, she turns 90° to the right and walks to point R, which is 3 ft away. What is the distance between point T and point R?

A
4 ft

B
5 ft

C
7 ft

D
8 ft

Solution

Consider the diagram given below.
Question 7
1 / -0

Sonia travelled 9 km to the west, then turned right and travelled 7 km. She again turned left and travelled 8 km. Then, she turned back and travelled 11 km. Finally, she turned right and travelled another 7 km. How far is she from the starting point?

A
3 km

B
6 km

C
7 km

D
9 km

Solution

Consider the diagram given below. The distances are given in kilometres.

According to this diagram, Sonia is 6 km away from the starting point.
Question 8
1 / -0

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

A
105

B
12

C
48

D
24

Solution
Question 9
1 / -0

Choose the option that will correctly replace the question mark (?) in the figure given below.

2 3 5

? 11 13

17 19 23

A
9

B
7

C
6

D
10

Solution

2 3 5

9 11 13

17 19 23

Numbers : 2, 3, 5, 7, 11, 13, 17,19, 23 : All are consecutive prime numbers
Question 10
1 / -0

Find the missing term.

A M B N

R C S D

E U F ?

A
G

B
R

C
T

D
V

Solution

A M B N

R C S D

E U F V

The letter in the third column is the successor of the letter in the first column of the same row. The letter in the fourth column is the successor of the letter in the second column of the same row.
Question 11
1 / -0

Find the missing term.

14 9 12 20

4 9 8 10

12 13 7 20

3 3 11 ?

20 42 19 40

A
2

B
8

C
12

D
14

Solution

14 × 4 - 12 × 3 = 20

9 × 9 - 13 × 3 = 42

12 × 8 - 7 × 11 = 19

20 × 10 - 20 × x = 40

20x = 200 - 40 = 160

x = 8

Hence, the missing term is 8.
Question 12
1 / -0

Find the missing term.

A
78

B
82

C
86

D
88

Solution

Calculate the sum of the square of the outer number as follows.
3² + 6² + 5² + 4² = 9 + 36 + 25 + 16 = 86
Question 13
1 / -0

Which of the following alternatives will correctly replace the question mark in the series given below?

A
120

B
360

C
180

D
720

Solution

(5 × 4 × 3) × 2 = 120

(10 × 8 × 3) × 2 = 480

Hence, the missing number is (15 × 3 × 4) × 2 = 360.
Question 14
1 / -0

Sunil completes a piece of work in 4 days while Dinesh completes the same work in 6 days. Ramesh works 3/2 times as fast as Sunil. How many days will it take for the three of them to complete the work if they work together?

A
7/12

B
17/12

C
12/7

D
None of these

Solution

Time taken by Sunil to complete the work = 4 days

Time taken by Dinesh to complete the work = 6 days

Now, Ramesh works 3/2 times as fast as Sunil.

∴ Time taken by Ramesh to complete the work = 4/3 × 2 = 8/3 days

Time taken by the three of them to complete the work =
Question 15
1 / -0

A can do a piece of work in 6 days and B can do the same work in 8 days. A and B agrees to do it for Rs. 320. With the help of C, they managed to finish the work in 3 days. Find the amount of money A and B paid to C.

A
Rs. 37.50

B
Rs. 40

C
Rs. 60

D
Rs. 80

Solution

According to the given information,