# NTSE MAT Part Test 3

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InstructionsThe Test (Mental Ability) consists of 50 Questions (Q. Nos. 1 to 50)All questions carry one mark each.

• 1.

### In the following diagram the boys wh​o are athletic and are disciplined are indicated by which number?

• A.

1

• B.

2

• C.

10

• D.

6

B. 2
Explanation
Answer: Option B Explanation: The required number is 2.

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• 2.

### Study the diagram given below and answer each of the following questions.How many persons who take tea and wine but not coffee ?

• A.

20

• B.

17

• C.

25

• D.

15

B. 17
Explanation
Explanation:
17 persons take tea and wine but not coffee.

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• 3.

### Find out the alternative figure which contains figure (X) as its part.

• A.

1

• B.

2

• C.

3

• D.

4

A. 1
Explanation
Option A

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• 4.

• A.

1

• B.

2

• C.

3

• D.

4

D. 4
• 5.

### Find out the alternative figure which contains figure (X) as its part.

• A.

1

• B.

2

• C.

3

• D.

4

D. 4
Explanation

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• 6.

• A.

1

• B.

2

• C.

3

• D.

4

C. 3
• 7.

• A.

1

• B.

2

• C.

3

• D.

4

D. 4
• 8.

• A.

1

• B.

2

• C.

3

• D.

4

D. 4
• 9.

• A.

1

• B.

2

• C.

3

• D.

4

B. 2
• 10.

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

D. Option 4
• 11.

• A.

1

• B.

2

• C.

3

• D.

4

D. 4
• 12.

### A,B,C,D,E,F,G,H are sitting on a merry-go-round facing at the centre. D is second to the left on H who is third to the left of A. B is fourth to the right of C who is immediate neighbour of H. G is not a neighbour of B or C. F is not a neighbour of B.​Who is third to the left of B?

• A.

F

• B.

A

• C.

E

• D.

G

A. F
Explanation
F is third to the left of B because B is fourth to the right of C, and H is third to the left of A. Since G is not a neighbor of B or C, and F is not a neighbor of B, the only option left is F.

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• 13.

### Amongst five friends, Lata, Alka, Rani, Asha and Sadhana. Lata is older than only three of her friends. Alka is younger to Asha and Lata. Rani is older than only Sadhana.Who amongst them is the eldest ?

• A.

Asha

• B.

Lata

• C.

Alka

• D.

A. Asha
Explanation
Sadhana < Rani < Alka < Lata < Asha.

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• 14.

### A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting next to E,who is sitting on the left end of the bench. C is on the second position from the Fight. A is to the right of Band E.Counting from the left, in which position is A sitting?

• A.

2

• B.

3

• C.

5

• D.

Cannot be determined from the given conditions

B. 3
Explanation
E B A C D

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• 15.

### Direction : When the signs are changed as shown below, which one of the given equations will be correct?

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

B. Option 2
Explanation
2

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• 16.

### How many triangles are there in the given figure?

• A.

15

• B.

14

• C.

13

• D.

11

B. 14
Explanation
In the given figure, there are several triangles. We can count them by looking at the different combinations of lines that form triangles. By carefully examining the figure, we can identify 14 triangles.

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• 17.

### How many quadrilaterals are ,there in the given figure?

• A.

7

• B.

8

• C.

9

• D.

10

C. 9
Explanation
9

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• 18.

### How many semi circles are there in the given figure,?

• A.

16

• B.

18

• C.

20

• D.

24

D. 24
Explanation
24

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• 19.

### Directions : The following questions are based on the given intersecting figures.Which pair of numbers given below are inside any two figures only?

• A.

9, 12

• B.

3, 11

• C.

3,13

• D.

11, 1

C. 3,13
Explanation
The pair of numbers 3, 13 are inside any two figures only. This can be determined by analyzing the intersecting figures and observing that the numbers 3 and 13 are present in two figures but not in any other figures. Therefore, the correct answer is 3, 13.

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• 20.

### Directions : The following questions are based on the given intersecting figures. Which of the following number lies in the figures II, III and IV only?

• A.

9

• B.

5

• C.

8

• D.

10

A. 9
Explanation
The number 9 is the only number that lies in figures II, III, and IV only. It does not appear in figure I.

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• 21.

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

D. Option 4
• 22.

### If A + B = 2C and C + D = 2A, then

• A.

A + C = B + D

• B.

A + C = 2D

• C.

A + D = B + C

• D.

A + C = 2B

A. A + C = B + D
• 23.

### Given interchanges : Signs + and - , numbers 4 and 8.

• A.

4 + 8 - 12 = 12

• B.

4 - 8 + 12 = 0

• C.

8 + 4 - 12 = 24

• D.

8 - 4 + 12 = 8

B. 4 - 8 + 12 = 0
• 24.

• A.

+ and -

• B.

- and /

• C.

+ and x

• D.

+ and /

B. - and /
• 25.

• A.

80

• B.

25

• C.

24

• D.

5

C. 24
• 26.

### Given intercharges : Signs + and x and numbers 4 and 5.

• A.

5 x 4 + 20 = 40

• B.

5 x 4 + 20 = 85

• C.

5 x 4 + 20 = 104

• D.

5 x 4 + 20 = 95

C. 5 x 4 + 20 = 104
• 27.

• A.

8

• B.

4

• C.

2

• D.

-1

C. 2
• 28.

• A.

X, x, x

• B.

-, +, x

• C.

X, +, x

• D.

+, -, x

B. -, +, x
• 29.

• A.

18

• B.

28

• C.

31

• D.

103

B. 28
• 30.

• A.

36

• B.

28

• C.

35

• D.

42

C. 35
• 31.

• A.

10

• B.

6

• C.

12

• D.

0

C. 12
• 32.

### What should come in place of the question mark(?) in the following questions ?

• A.

1 7/12

• B.

1 5/12

• C.

3 7/12

• D.

3 1/12

D. 3 1/12
Explanation
Explanation:
? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12)
= 4 + ((2+6-8-11)/12)
= 4 - 11/12 = 3 1/12.

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• 33.

### Which of the following diagrams indicates the best relation between Travelers, Train and Bus ?

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

C. Option 3
Explanation
Bus and Train are different from each other but some travelers travel by bus and some travel by train.

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• 34.

### Which of the following diagrams indicates the best relation between Women, Mothers and Engineers ?

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

A. Option 1
Explanation
Option 1 shows that all women are mothers and some mothers are engineers. This indicates that there is a subset of women who are both mothers and engineers, suggesting the best relation between women, mothers, and engineers. Option 2, Option 3, and Option 4 do not accurately represent this relationship.

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• 35.

• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

D. Option 4
• 36.

### Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be schedules immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. 1. Which lecture is scheduled on Monday?

• A.

A) History

• B.

b) Economics

• C.

C) Mathematics

• D.

D) Statistics

D. D) Statistics
Explanation
The lecture scheduled on Monday cannot be Economics, as Economics cannot be scheduled on Tuesday. The lecture scheduled on Tuesday is History, so the lecture on Monday cannot be History either. The lecture on Wednesday is Mathematics, which must be scheduled immediately after Economics. The lecture on Thursday is English, which must be scheduled immediately before Economics. Therefore, the only option left for the lecture scheduled on Monday is Statistics.

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• 37.

### Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be schedules immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?

• A.

Economics

• B.

History

• C.

Mathematics

• D.

No lecture

B. History
Explanation
The lecture scheduled between Statistics and English is History. This can be determined by following the given conditions: Economics cannot be scheduled on Tuesday, so it must be scheduled on Monday. History is only available on Tuesday, so it must be scheduled on Tuesday. Mathematics must be scheduled immediately after Economics, so it must be scheduled on Tuesday. English must be scheduled immediately before Economics, so it must be scheduled on Monday. Therefore, the lecture scheduled between Statistics and English is History.

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• 38.

### Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be schedules immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?

• A.

History

• B.

English

• C.

Mathematics

• D.

Economics

C. Mathematics
Explanation
The last lecture of the week is Mathematics. According to the given conditions, Economics cannot be scheduled on Tuesday, so it must be scheduled on Monday. Since Mathematics lecture has to be scheduled immediately after the day of Economics lecture, Mathematics must be scheduled on Tuesday. English lecture has to be scheduled immediately before the day of Economics lecture, so English must be scheduled on Monday. Therefore, History must be scheduled on Wednesday. The remaining lecture, Mathematics, must be scheduled on Thursday, making it the last lecture of the week.

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• 39.

### Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be schedules immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is located scheduled on Wednesday?

• A.

Statistics

• B.

Economics

• C.

English

• D.

History

C. English
Explanation
The lecture scheduled on Wednesday is English. According to the given information, the English lecture has to be scheduled immediately before the day of Economics lecture. Since Economics cannot be scheduled on Tuesday, the only option left is to schedule Economics on Thursday. Therefore, English must be scheduled on Wednesday.

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• 40.

### Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be schedules immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture.  Which lecture is scheduled before the Mathematics lecture?

• A.

Economics

• B.

History

• C.

Statistics

• D.

English

A. Economics
Explanation
The lecture scheduled before the Mathematics lecture is Economics. This can be determined by following the given conditions: Economics cannot be scheduled on Tuesday, so it must be scheduled on Monday. Since Mathematics lecture has to be scheduled immediately after the day of Economics lecture, it must be scheduled on Tuesday. Therefore, Economics is scheduled before the Mathematics lecture.

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• 41.

### Examine carefully the following statements and answer the three items that follow:Out of four friends A, B, C and D • A and B play football and cricket, • B and C play cricket and hockey, • A and D play basketball and football, • C and D play hockey and basketball. Who does not play hockey?

• A.

D

• B.

C

• C.

B

• D.

A

D. A
Explanation
Based on the given statements, A plays football and cricket, B plays football, cricket, and hockey, C plays cricket and hockey, and D plays basketball and football. Since hockey is not mentioned as a sport played by A, the answer is A.

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• 42.

### The following diagrams show some relationship among 3 times. For each group of elements, there corresponds one diagram (a), (b), (c) or (d). Select the suitable diagramRectangle, Parallelogram, Quadrilateral:

• A.

A

• B.

B

• C.

C

• D.

D

A. A
Explanation
A

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• 43.

• A.

A

• B.

B

• C.

C

• D.

D

D. D
• 44.

### The following diagrams show some relationship among 3 times. For each group of elements, there corresponds one diagram (a), (b), (c) or (d). Select the suitable diagramVegetables, Fruits, Eatables

• A.

A

• B.

B

• C.

C

• D.

D

C. C
Explanation
The diagram in option C shows that all vegetables are eatables and all fruits are eatables. It also shows that some vegetables are fruits. Therefore, option C represents the suitable diagram for the relationship among vegetables, fruits, and eatables.

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• 45.

### The following diagrams show some relationship among 3 times. For each group of elements, there corresponds one diagram (a), (b), (c) or (d). Select the suitable diagramNatural numbers, whole numbers, integers

• A.

A

• B.

B

• C.

C

• D.

D

A. A
Explanation
A

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• 46.

### The following diagram consisting of four overlapping figures, represent four segments of population. The large triangle represent singers, the circle dancers, the rectangle football players and small triangle actors. Study the diagram and answer the questions.Actors and singers but not dancers:

• A.

(A) F and D

• B.

(B) F, D and H

• C.

(C) D and H

• D.

(D) F and H

A. (A) F and D
Explanation
A

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• 47.

### The following diagram consisting of four overlapping figures, represent four segments of population. The largetriangle represent singers, the circle dancers, the rectangle football players and small triangle actors. Study thediagram and answer the questions. Dancers who are not football players:

• A.

(A) C and E

• B.

(B) C, E and H

• C.

(C) C, H and G

• D.

(D) E Only

A. (A) C and E
Explanation
A

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• 48.

### The following diagram consisting of four overlapping figures, represent four segments of population. The large triangle represent singers, the circle dancers, the rectangle football players and small triangle actors. Study the diagram and answer the questions.Singers who are not dancers:(A) A and D (B) A and B (C) A only (D) A, D and B

• A.

(A) A and D

• B.

(B) A and B

• C.

(C) A only

• D.

(D) A, D and B

D. (D) A, D and B
Explanation
The correct answer is (D) A, D and B. This means that the singers who are not dancers are represented by figures A, D, and B. From the diagram, we can see that figure A represents singers, figure D represents actors, and figure B represents football players. Therefore, the singers who are not dancers are represented by these three figures.

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• 49.

### The following diagram consisting of four overlapping figures, represent four segments of population. The large triangle represent singers, the circle dancers, the rectangle football players and small triangle actors. Study the diagram and answer the questions.  Football players who are not singers:

• A.

(A) B only

• B.

(B) H only

• C.

(C) Nil

• D.

(D) G only

C. (C) Nil
Explanation
The diagram does not show any overlap between the rectangle (representing football players) and any other figure. Therefore, there are no football players who are also singers. Hence, the correct answer is (C) Nil.

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• 50.

### The following diagram consisting of four overlapping figures, represent four segments of population. The large triangle represent singers, the circle dancers, the rectangle football players and small triangle actors. Study the diagram and answer the questions.Name the segment of population which represent all the categories.

• A.

(A) D only

• B.

​ (B) C only

• C.

(C) B only

• D.

(D) H only

D. (D) H only
Explanation
D

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