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Haryana 2020-21 NTSE Stage 1 Answer Key & Question Paper With Solutions

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Haryana 2020-21 NTSE Stage 1 Answer Key & Question Paper With Solutions

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Haryana 2020-21 NTSE Stage 1 – Question Paper With Solutions

Paper: MAT

Direction: (Q 1 to 5) What number will come at the place of question mark?


Question 1. 4, -8, 16, -32, 64, ?


a. 128
b. -128
c. -64
d. -192

Answer: (b)

Haryana NTSE 2021 Stage 1 MAT Question 1 solution

Question 2. 1/81, 1/54, 1/36, 1/24, ?


a. 1/32
b. 1/9
c. 1/16
d. 1/18

Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question 2 solution

Question 3. 2, 6, 3, 4, 20, 5, 6, ?, 7


a. 25
b. 28
c. 30
d. 42

Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 3 solution

Question 4. 10, 5, 13, 10, 16, 20, 19, ?


a. 22
b. 23
c. 38
d. 40

Answer: (d)

The series is a combination of two series as shown:

Haryana NTSE 2021 Stage 1 MAT Question 4 solution

Question 5. 30, 2, 20, 6, 12, 12, ?


a. 6
b. 8
c. 10
d. 15

Answer: (a)

It is a combination of two series.

Haryana NTSE 2021 Stage 1 MAT Question 5 solution

Direction: (Q. 6 to 8) Which number will replace the question mark?

Question 6. Which number will replace the question mark?

Haryana NTSE 2021 Stage 1 MAT Question 5


a. 81
b. 68
c. 100
d. 121

Answer: (c)

7 + 5 = 12; 122 = 144

3 + 4 = 7; 72 = 49

5 + 1 = 6; 62 = 36

8 + 2 = 10; 102 = 100

Question 7. Which number will replace the question mark?

5 8 7
11 17 15
21 33 ?


a. 29
b. 31
c. 28
d. 33

Answer: (a)

Column 1: 2(5) + 11 = 21

Column 2: 2(8) + 17 = 33

Column 3: 2(7) + 15 = 29

Question 8. Which number will replace the question mark?

Haryana NTSE 2021 Stage 1 MAT Question 8


a. 1.61
b. 10.50
c. 12.25
d. None

Answer: (a)

\(\begin{array}{l}\frac{4^{2}+3^{2}}{2 \times 5} = 2.50\end{array} \)
\(\begin{array}{l}\frac{6^{2}+8^{2}}{4 \times 2} = 12.50\end{array} \)
\(\begin{array}{l}\frac{5^{2}+2^{2}}{9 \times 2} = 1.61\end{array} \)

Question 9. If we fold figure (x) to make a Box, then what will be opposite to 5?

Haryana NTSE 2021 Stage 1 MAT Question 9


a. 3
b. 2
c. 1
d. 6

Answer: (b)

Haryana NTSE 2021 Stage 1 MAT Question 9 solution

From the figure, 2 is on the opposite face to 5.

Question 10. How many triangles are in the given figure?

Haryana NTSE 2021 Stage 1 MAT Question 10


a. 18
b. 17
c. 27
d. 25

Answer: (b)

Haryana NTSE 2021 Stage 1 MAT Question 10 solution

Question 11. How many straight lines are in given figure?

Haryana NTSE 2021 Stage 1 MAT Question 11


a. 10
b. 11
c. 12
d. 13

Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question 11 solution

The straight lines are: AB, BC, AC, CD, BD, AD, AE, DE, EF, GH, EB, EC.

Total = 12 lines

Question 12. How many Rectangles are in a given figure?

Haryana NTSE 2021 Stage 1 MAT Question 12


a. 315
b. 70
c. 245
d. None

Answer: (a)

Let’s derive a formula for the calculation of rectangles in the given grid.

Let there be C columns and R rows.

For a grid with 1 column and 1 row, rectangles = 1

For a grid with 2 columns and 1 row, rectangles = 2+1 = 3

For a grid with 3 columns and 1 row, rectangles = 3+2+1 = 6

For a grid with C columns and 1 row, rectangles =

\(\begin{array}{l}\frac{C(C+1)}{2}\end{array} \)

For a grid with C columns and 2 rows, rectangles =

\(\begin{array}{l}\frac{3C(C+1)}{2}\end{array} \)

For a grid with C columns and 3 rows, rectangles =

\(\begin{array}{l}\frac{6C(C+1)}{2}\end{array} \)

For a grid with C columns and R rows, rectangles =

\(\begin{array}{l}\frac{R(R+1)C(C+1)}{2\times 2}\end{array} \)

So, given there are 5 rows and 6 columns, number of rectangles =

\(\begin{array}{l}\frac{5(5)6(7)}{4} = 315\end{array} \)

Direction: (Q. 13 to 15) P, Q, R, S, T and U are sitting along the circle facing the center

(a) P is the immediate neighbour of Q who is second to the right of R.

(b) S is second to the left of T.

(c) U is the immediate neighbour of T.

Image-based on the given directions:

Haryana NTSE 2021 Stage 1 MAT Question 13

Question 13. Which of the following is correct?


a. S is between U and R
b. Q is between P and T
c. P is between Q and R
d. T is between U and Q

Answer: (c)

From the image: P is between Q and R.

Question 14. What is the position of U?


a. Second to the right of R
b. Between T and P
c. To the immediate left of S
d. Second to the right of Q

Answer: (d)

From the image: U is second to the right of Q.

Question 15. Which of the following is wrong?


a. P is to the immediate left of R.
b. Q is to the immediate right of P.
c. S is to the immediate right of Q.
d. T is to the immediate of U.

Answer: (a)

From the figure: P is to the immediate right of R. So (a) is incorrect.

Directions : (Q. 16 & 17)

(a) ‘P × Q’ means ‘P is brother of Q’

(b) ‘P ÷ Q’ means ‘P is sister of Q’

(c) ‘P + Q’ means ‘P is father of Q’

(d) ‘P – Q’ means ‘P is mother of Q’

Question 16. Which of the following means ‘S is nephew of R’?

a. S × T ÷ J + R

b. R ÷ M – S + T

c. R – M ÷ S × T

d. R + M – S ÷ T


Answer: (b)

S is nephew of R means, mother/father of S is R’s sibling. Only option b satisfies this condition.

R ÷ M – S + T ⇒ R is sister of M, M is mother of S and S is father of T.

Question 17. Which of the following means M is grandfather of W?


a. M – J ÷ W
b. M + J × W
c. M × T + W
d. M + J – W

Answer: (d)

M – J ÷ W ⇒ M is mother of J and W

M + J × W ⇒ M is father of J and W.

M × T + W ⇒ M is brother of T who is father of W. M is uncle of W.

M + J – W ⇒ M is father of J and J is mother of W. So, M is grandfather of W.

Question 18. If 283 is written as 328, 347 and 734 and so on, then which of the following two numbers will have the least difference between them?


a. 827 and 347
b. 347 and 518
c. 748 and 518
d. 518 and 829

Answer: (c)

a. 827 and 347 are written as 782 and 734. So, difference = 48

b. 347 and 518 are written as 734 and 851. So, difference = 117

c. 748 and 518 are written as 874 and 851. So, difference = 23

d. 518 and 829 are written as 851 and 982. So, difference = 131

Direction : (Q 19 to 21) These questions are based on the following arrangement of symbols, letters and numbers.

$ L 2 = ? P C 7 % E H @ ÷ 8 K B M 5 T V 3 *

Question 19. How many such symbols are there in the arrangement, each of which is immediately preceded by a letter?


a. 1
b. 2
c. 3
d. 4

Answer: (a)

$ L 2 = ? P C 7 % E H @ ÷ 8 K B M 5 T V 3 *

Question 20. If all the numbers are deleted from the arrangement, which element will be 7th to the left of the 14th element from the left end?


a. %
b. H
c. @
d. C

Answer: (a)

Series after removing the numbers:$ L = ? P C % E H @ ÷ K B M T V *

The 14th element from the left end is M. The 7th element to the left of M is %.

Question 21. ‘2 = P’ is related to ‘7 % H’ in the arrangement in the same way as ‘______’ is related to ‘M5V’.


a. ÷ 8 S
b. ÷ @ K
c. @ ÷ K
d. @ ÷ 8

Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question 21 solution

2 = P : 7 % H :: @ ÷ K : M5V

Question 22. Odd one out:


a. FASTER
b. BIGGER
c. GREATER
d. LARGER

Answer: (a)

Bigger, greater and larger represent size, whereas faster represents speed.

Question 23. Choose the most similar word in meaning in the words following: ROSE


a. Awake
b. Erected
c. Upright
d. Stood

Answer: (d)

Rose is the past tense of Rise, Stand is most similar to Rise. Stood is the past tense of stand.

Question 24. Ram went 15 km. North of his house. After this, he turned West and walked a distance of 10 Km., after which he turned and walked a distance of 5 Km. South and finally he turned East and walked 10 Km. Now in which direction is he from his house?


a. EAST
b. WEST
c. NORTH
d. SOUTH

Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question 24

Question 25. Looking at a picture, Radha reveals that his mother’s only daughter is my mother. How is Radha related to that person?


a. Nephew
b. Sister
c. Wife
d. Niece

Answer: (d)

The person in the picture is the brother of Radha’s mother. So Radha is the niece of the person in the picture.

Question 26. If ‘-‘ means ‘×’, ‘×’ means ‘+’, ‘+’ means ‘÷’ and ‘÷’ means ‘-‘, then 40 × 12 + 3 – 6 ÷ 60 = ?


a. 7.95
b. 16
c. 4
d. 479.95


Answer: (c)

The correct expression is 40 + 12 ÷ 3 × 6 – 60.

⇒ 40 + 12 ÷ 3 × 6 – 60 = 40 + 4 × 6 – 60 = 40 + 24 – 60 = 4

Question 27. ‘ASTOUNDER’ word can be divided into how many independent words without changing the order of letters and using each letter only once?


a. 0
b. 1
c. 2
d. 3

Answer: (d)

There are several more than 3 total numbers of possible words. These are:

As, To, Under, Astound, Aster, Sound, Sun, Sour, And

But since one letter can be used only once, there can be a total of 3 words,

As, To and Under as all the letters A,S,T,O,U,N,D,E,R are utilized once.

Question 28. If the day before Yesterday was Thursday, then when would it be Sunday?
a. Today
b. 2 days after Today
c. Tomorrow
d. Yesterday

Answer: (c)

If the day before yesterday was Thursday, today is Saturday and tomorrow would be Sunday.

Direction : (Q 29 & 30) Put the given words in the sequence as in the dictionary and then select the correct sequence.

Question 29. Select the correct sequence

(A) Palisade

(B) Protect

(C) Pursuit

(D) Profession

(E) Process


a. A, B, D, E, C
b. A, D, B, E C
c. A, E, B, D, C
d. A, E, D, B, C

Answer: (d)

Words arranged in the dictionary order:

Palisade, Process, Profession, Protect, Pursuit.

Question 30. Select the correct sequence

(A) Credential

(B) Compensate

(C) Credible

(D) Cremate

(E) Collapse


a. B, E, A, C, D
b. E, B, C, A, D
c. E, B, A, C, D
d. B, E, C, A, D

Answer: (c)

Words arranged in the dictionary order:

Collapse, Compensate, Credential, Credible, Cremate.

Question 31. Museum is related to the curator in the same way as prison is related to _________ .


a. Manger
b. Monitor
c. Jailor
d. Warden

Answer: (c)

Curator curates and manages the articles of a museum.

Jailor is incharge of the prison.

Question 32. Choose a meaningful word with given numbers.

1 A 2 B
3 L 4 R
5 O 6 U


a. 5, 6, 3, 1, 2, 4
b. 3, 1, 2, 5, 6, 4
c. 5, 6, 4, 2, 3, 1
d. 4, 5, 6, 3, 2, 1

Answer: (b)

LABOUR is formed from the given letters. 3, 1, 2, 5, 6, 4.

Question 33. If 43 = 158, 35 = 824, 42 = 153, then 32 = ?


a. 84
b. 83
c. 85
d. 94

Answer: (b)

158 = 15_8 = (42-1)_(32-1)

824 = 8_24 = (32-1)_(52-1)

153 = 15_3 = (42-1)(_22-1)

32 = 8_3 = (32-1)_(22-1)

Question 34. If (14)3 is added to the square of a number, the answer so obtained is 4425. What is the number?


a. 1849
b. 43
c. 41
d. 1681

Answer: (c)

Let the unknown number be x.

Given: 143 + x2 = 4425

x2 = 4425 – 2744

x2 = 1681

x = 41

Question 35. The ratio of the present ages of Ajay and Vijay is 7 : 6 and the product of their ages is 672 years. How old was Vijay 4 years ago?


a. 20 years
b. 18 years
c. 15 years
d. 25 years

Answer: (a)

Present age of Ajay/Present age of Vijay = 7/6

So, let the present ages of Ajay and Vijay are 7x and 6x respectively.

Given: (7x)(6x) = 672

x2 = 16

x = 4

Present age of Vijay = 6 x 4 = 24 years

4 years ago Vijay was 20 years old.

Direction: (Q. 36 to 40) K, L, M, N, P, Q, R, S, U and W are the only 10 members in a department. There is a proposal to form a team within the members of the department, subject to the following conditions.

(a) A team must include exactly one among P, R and S.

(b) A team must include either M or Q but not both.
(c) If a team includes one among S, U and W, then it must also include the other two.

(d) If a team includes K, then it must also include L and vice versa.

(e) L and N cannot be members of the same team.

(f) L and U cannot be members of the same team.

The table for the given conditions comes out as follows.

Conditions/Team Team 1 Team 2 Team 3
(a) P R S
(b) M/Q M/Q M/Q
(c) UW
(d), (e), (f) (KL)/N (KL)/N N

From (e) we also can say that both K and L cannot be present if N is present in the team. From (f) we also can say that both K and L cannot be present if U is present in the team.

Question 36. What would be the size of the largest possible team?


a. 8
b. 7
c. 6
d. 5

Answer: (d)

Largest team would be SMUWN or SQUWN which has 5 members.

Question 37. What would be the size of a team that includes K?


a. 2 and 3
b. 2 and 4
c. only 2
d. only 4

Answer: (d)

Team including K are: PMKL, PQKL, RMKL, RQKL

All the possible teams have 4 members.

Question 38. In how many ways a team can be constituted so that team includes N?


a. 6
b. 5
c. 4
d. 3

Answer: (a)

If N has to be there in the team, the number of ways are:

PMN, PQN, RMN, RQN, SMUWN, SQUWN – 6 ways

Question 39. Who can not be a member of a team of size 3?


a. L
b. M
c. N
d. P

Answer: (a)

In a team with 3 members, at least 2 members are fixed namely, PM, PQ, RM, RQ, SM, SQ. The third member needs to be N, since if it is any of K or L, two more persons will be added making the group of 4 people.

Hence, K or L cannot be a member of a team of size 3.

Question 40. Who can be a member of a team of size 5?


a. K
b. L
c. M
d. P

Answer: (c)

The maximum number of members a team can have is 5. The members are: SMUWN or SQUWN. So, M can be a member of such a team.

Direction: (Q. 41 to 45) in each question, the main statement is followed by four sentences. Select the pair of sentences that relate logically to the given statement.

Question 41. Either Gita is sick or she is careless

A. Gita is not sick

B. Gita is not careless

C. Gita is sick

D. Gita is careless


a. AB
b. AD
c. BA
d. DA

Answer: (b) or (d)

Either Gita is sick or she is careless. Gita cannot be both sick and careless at the same time. If Gita is not sick, she is careless.

Question 42. Raman gets a swollen nose-whenever he eats hamburgers.

(A) Raman gets a swollen nose

(B) Raman does not eat hamburgers

(C) Raman does not get a swollen nose

(D) Raman eats hamburgers


a. AB
b. DC
c. AC
d. None

Answer: (d)

Most relevant combination of statements would be DA. None of the given options are relevant.

Question 43. Either the employers have no confidence in the management or they are hostile by nature.

(A) They are hostile by nature

(B) They are not hostile by nature

(C) They have confidence in the management

(D) They have no confidence in the management


a. BA
b. CB
c. DA
d. BD

Answer: (d)

In an ‘either-or’ statement, only one of the possibilities is true. BD is the relevant combination that satisfied this condition. They are not hostile by nature, but then they have no confidence in the management

Question 44. Whenever Raman reads late into the nights, his father beats him.

(A) Raman’s father does not beat him

(B) Raman reads late into the night

(C) Raman reads early in the morning

(D) Raman’s father beats him in the morning


a. CD
b. BD
c. AB
d. None of these

Answer: (d)

Raman’s father beats him because he reads late into the night.

There is no inference on what happens in the morning. Hence, none of the options are relevant to the given statement.

Question 45. All irresponsible parents shout if their children do not read.

(A) All irresponsible parents do not shout

(B) Children read

(C) Children do not read

(D) All irresponsible parents shout


a. AB
b. BA
c. CA
d. All of these

Answer: (a)

According to the if condition, if children don’t read, irresponsible parents shout. So, if children read, all irresponsible parents don’t shout (AB).

Direction: (Q.46 to 49) Choose exact venn diagram for given conditions in the questions.

Haryana NTSE 2021 Stage 1 MAT Question 46 - 79

Question 46. Choose the exact Venn diagram for the following

A. Apples are not sweets

B. All sweets are tasty

C. No apple is tasty

Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 46 solution

Question 47. Choose exact venn diagram for the following<

A. Some popular people are handsome

B. All actors are handsome

C. Some actors are popular


Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question 47 solution

Question 48. Choose the exact Venn diagram for the following

A. All bad things are men

B. All men are sad

C. Some sad things are bad


Answer: (a)

Haryana NTSE 2021 Stage 1 MAT Question 48 solution

Question 49. Choose exact venn diagram for the following

A. Oranges are not sweet

B. Some sweets are apples

C. Some oranges are apples


Answer: (b)

Haryana NTSE 2021 Stage 1 MAT Question 49 solution

Question 50. Find the time between 9:00 and 10:00 when the clock needles coincide:


a.

\(\begin{array}{l}9 : 10\tfrac{9}{11}\end{array} \)

b.
\(\begin{array}{l}9 : 47\tfrac{10}{11}\end{array} \)

c.
\(\begin{array}{l}9 : 46\tfrac{4}{11}\end{array} \)

d.
\(\begin{array}{l}9 : 49\tfrac{1}{11}\end{array} \)

Answer: (d)

Speed of minute hand = 12 units per hour

Speed of hour hand = 1 unit per hour.

Relative speed of minute hand w.r.t. Hour hand = 11 units per hour

Time taken by minute hand to reach hour hand considering relative speed of minute hand = 9 units/11 units hour = 9/11 hour = 9/11 x 60 = 540/11 = 49 x 1/11minutes

Time when minute hand and hour hand coincide =

\(\begin{array}{l}9 : 49\tfrac{1}{11}\end{array} \)

Direction: (Q. 51 & 52) Study the following information carefully and answer the questions given below:

The sum of the income of A and B is greater than the income of both C and D. The sum of the income of A and C is equal to the income of both B and D. A earns half of the sum of B’s and D’s income.

Question 51. Which of the following statement is false?


a. A’s income is more than B’s
b. B’s income is more than D’s
c. C’s income is more than D’s
d. All are right

Answer: (a)

Given that, A + B > C + D …(i)

A + C = B + D …(ii)

A = 12(B + D) B + D = 2A …(iii)

From (ii) and (iii)

A = C …(iv)

Putting A = Cin (i)

B > D Now, adding B on both sides,

2B > B + D

2B > 2A

B > A

B > D Now, adding D on both sides,

B + D > D + D

We get, 2A > 2D

A > D

Hence, B > A = C > D

So, A’s income is more than B is a false statement.

Question 52. Who has the highest income?


a. A
b. B
c. C
d. D

Answer: (b)

B has the highest income as can be seen from the order of incomes.

B > A = C > D

Question 53. Find the time between 9 : 00 and 10:00 when the clock needles are in opposite direction


a.

\(\begin{array}{l}9 : 10\tfrac{9}{11}\end{array} \)

b.
\(\begin{array}{l}9 : 16\tfrac{4}{11}\end{array} \)

c.
\(\begin{array}{l}9 : 11\tfrac{10}{11}\end{array} \)

d. None

Answer: (b)

Minute hand covers 360o in 60 minutes, i.e., 6o in a minute, whereas hour hand covers 30o in an hour, i.e., 0.5o in a minute.

Relative degrees covered by minute hand in 1 minute = 6-0.5 = 5.5o.

Relative degrees to be covered so that minute hand and hour hand are opposite = 180o-90o.

(since at 9:00 they are already 90o apart)

Time taken to cover 90o = 90/5.5 = 180/11 =

\(\begin{array}{l}16\tfrac{4}{9}\end{array} \)

Time when the needles are in opposite direction =

\(\begin{array}{l}9 : 16\tfrac{4}{11}\end{array} \)

Question 54. Which is the Venn diagram showing the correct relationship between Doctor, Lawyer and Professionals?

Haryana NTSE 2021 Stage 1 MAT Question 54


Answer: (a)

All doctors and lawyers are professionals. However, doctors and lawyers are completely independent sets of people and have different professions.

Haryana NTSE 2021 Stage 1 MAT Question 54 solution

Question 55. What day was on 8 March 2011?


a. Monday
b. Tuesday
c. Wednesday
d. None

Answer: (b)

Let’s start from 2000 and count the number of odd days till 2010.

Number of odd days = 10+2 = 12, which is effectively 5 odd days after removing a week’s worth of days.

(10 years + 2 leap years)

Calculating number of odd days in 2011 till the said date:

= 3 (January) + 0 (February) + 8 (March) = 11

Total odd days = 11+12 = 23

Removing 3 week worth of days we have remainder 2. Hence, the day on 8th March 2011 is Tuesday (the second day of the week).

Direction:(Q. 56 to 58) In each question (1), (2), (3) and (4) figures are given, out of which 3 figures are similar in a way, yet one figure does not match the other three. Select the incompatible figures for the other three.

Question 56. Select the incompatible figures from the following

Haryana NTSE 2021 Stage 1 MAT Question 56


Answer: (b)

It can be clearly seen that in figure (a), (c) and (d) the pattern rotates anticlockwise, and (b) is not fitting the pattern as it can never be made if the pattern is only rotated anticlockwise.

Question 57. Select the incompatible figures from the following

Haryana NTSE 2021 Stage 1 MAT Question 57


Answer: (c)

The result inside the triangle is obtained as follows:

7 x 5 – 12 = 23

4 x 8 – 10 = 22

9 x 3 – 10 = 17

6 x 7 – 8 = 34

Only option c is not following the rule.

Question 58. Select the incompatible figures from the following

Haryana NTSE 2021 Stage 1 MAT Question 58


Answer: (d)

In options a, b, and c all the polygons/figures are closed, whereas in d one figure is open, which makes it the odd one out.

Direction:(Q.59 to 61) In each of the following questions, 3 question figures are given as A, B , C and 4 answer figures are given as 1, 2, 3 and 4. Select the figure from the answer figures that will continue the series given in the question figures.

Question 59. Select the figure that will continue the series

Haryana NTSE 2021 Stage 1 MAT Question 59

Answer Figures

Haryana NTSE 2021 Stage 1 MAT Question 59


Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question solution

Question 60. Question figures

Haryana NTSE 2021 Stage 1 MAT Question 60

Answer figures

Haryana NTSE 2021 Stage 1 MAT Question 60


Answer: BONUS

All images are the same.

Question 61. Question figures

Haryana NTSE 2021 Stage 1 MAT Question 61

Answer figures

Haryana NTSE 2021 Stage 1 MAT Question 61


Answer: (b)

The black, as well as white dot, move clockwise one-quarter of a circle at a time.

Question 62. Opposite of ‘AWKWARDNESS’:


a. Artistic
b. Clever
c. Experience
d. Straight

Answer: (d)

Straight is the opposite of Awkwardness.

Question 63. Synonym of ‘COMPETITOR’


a. Actor
b. Rival
c. Match
d. Player

Answer: (b)

Rival means the same as a Competitor.

Question 64. If coding for ‘EXAMINATIONS’ is 1 2 3 4 5 6 3 7 5 8 6 9 then coding for ‘NOMINATION’:


a. 6 8 5 4 6 3 7 5 8 6
b. 6 8 4 5 6 3 7 5 8 6
c. 8 6 4 5 6 3 7 5 8 6
d. 6 8 4 5 6 3 5 7 8 6

Answer: (b)

E X A M I N A T I O N S
1 2 3 4 5 6 3 7 5 8 6 9
N O M I N A T I O N
6 8 4 5 6 3 7 5 8 6

The coded form of NOMINATION is: 6845637586 by direct coding.

Question 65. Which is the odd one


a. BD Kg
b. Km Np
c. Pr Su
d. Tw Xz

Answer: BONUS

If Eg is there in place of kg then (d) is answer

BD Kg = BCD Efg

Km Np = Klm Nop

Pr Su = Pqr Stu

Tw Xz = Tuvw Xyz

Clearly, (d) is the odd one out as it has two letters in between.

Question 66. Which is the Odd one


a. 9 – 3
b. ½ – â…›
c. â…“ – 1/12
d. 24 – 6

Answer: (a)

a. 9 – 3 : 3 is â…“ rd of 9

b. 12 – 18: 18 is ¼ th of ½

c. â…“ – 1/12: 1/12 is ¼ th of â…“

d. 24 – 6: 6 is ¼ th of 24.

Hence the only odd one out is (a).

Question 67. Which is the odd one


a. Moscow
b. New Delhi
c. Beijing
d. New York

Answer: (d)

Moscow is the capital of Russia.

New Delhi is the capital of India.

Beijijng is the capital of China.

However, New York is not a capital of any country and is the odd one out.

Question 68. Which is the odd one


a. Army : General
b. Team : Captain
c. Creche : Child
d. Meeting : Chairman

Answer: (c)

General is the head of an army.

Captain is the head of a team.

Child is not the head of the creche and thus is the odd one out.

Chairman is the head of a meeting.

Question 69. Count the number of triangles and squares in the figure given below.

Haryana NTSE 2021 Stage 1 MAT Question 69


a. 26 Triangles, 5 squares
b. 26 Triangles, 6 squares
c. 27 Triangles, 6 squares
d. 28 Triangles, 5 squares

Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 69

Question 70. In the following question, a square transparent paper is given along with a pattern; four option figures are given below, which show the shape formed after the paper is folded on the dot line and select the one that completes the pattern answer figure.

Question figures

Haryana NTSE 2021 Stage 1 MAT Question 70

Answer figures

Haryana NTSE 2021 Stage 1 MAT Question 70


Answer: (a)

The patterns on either side of the dotted line are mirror images of each other when the mirror is placed along the dotted line. Hence, the patterns will coincide thus giving option (a) as the answer.

Question 71. If Suresh reached some place on Tuesday, he said that he has come 3 days before then on what day the man reached who was late by 4 days?


a. Monday
b. Tuesday
c. Wednesday
d. Thursday

Answer: (b)

According to the situation, Tuesday is 3 days before the actual day. So, he should have reached on Friday. The person who is late by 4 days should reach 4 days later starting from Friday. So, the other person reaches on Tuesday.

Question 72. In the following question, figure (X) is given in which a point is established. Four other answer figures (1), (2), (3) and (4) are give after this figure. Only one of these answer figures is such that it is possible to establish the point according to the conditions given in figure X.

Find the correct answer figure.

Question figure

Haryana NTSE 2021 Stage 1 MAT Question 72

Answer figure

Haryana NTSE 2021 Stage 1 MAT Question 72


Answer: (a)

Figure (X) shows the “dot” present in the common region region formed by the intersection of only the triangle and the square. In all other options either the area common to square and triangle is also common to the circle or there is no common area between square and triangle.

Question 73. If the words ‘INTIMATION’, INFORMATION, INTEREST, INTERROGATION, INSTIGATION’ are kept in order according to the dictionary, which will be the 4th letter from the left side in the last word?


a. R
b. O
c. T
d. I

Answer: (d)

The order of words in the dictionary will be:

INFORMATION, INSTIGATION, INTEREST, INTERROGATION, INTIMATION.

Last word is INTIMATION, whose 4th letter from the left side is I.

Question 74. Age of D is middle among five friends, K is the youngest. U is greater than N and N is smaller than A and D. Who is the biggest among them?


a. A
b. U
c. N
d. Things given are insufficient

Answer: (d)

The five friends are: D, K, U, N, A

Given, age in ascending order as: (according to the successive statements)

(i) _ _ D _ _

(ii) K _ D _ _

(iii) N is smaller than D, so, K N D _ _

(iv) U is greater than N, but U’s position w.r.t. A is not given. So, the order may be K N D U A or K N D A U.

Hence, given information is insufficient to determine the biggest.

Question 75. Four complex shapes followed by an X are given such that the shape X is embedded in one of the four. Choose the correct option

Question Figure

Haryana NTSE 2021 Stage 1 MAT Question 75

Answer figure

Haryana NTSE 2021 Stage 1 MAT Question 75


Answer: BONUS

The question figure best fits in option (c).

Haryana NTSE 2021 Stage 1 MAT Question 75 solution

Direction: (Q. 76 & 77) In each of the following questions two statements A and B are given, based on their conclusions. 4 statements are given. Candidates have to guess the correct conclusions, considering both the statements to be true even if they seem to be false.

Question 76.

Statement: (A) Ajay is an artist

(B) Artists are Handsome

Conclusion: (a) All handsome people are artists

(b) Ajay is handsome

(c) Ajay is not handsome

(d) Handsome people are not artists


Answer: (b)

All artists are handsome. Since Ajay is an artist, he is handsome as well.

Haryana NTSE 2021 Stage 1 MAT Question 76 solution

Question 77.

Statement: (A) All knowledge is good

(B) All knowledge is difficult

Conclusion: (a) Some good things are hard

(b) All difficult things are difficult

(c) All good things are hard

(d) Simple things are not knowledge


Answer: (a)

Haryana NTSE 2021 Stage 1 MAT Question 77

Some Good things are Difficult (or Hard).

‘All difficult things are difficult’ , it becomes a general standalone statement having no need of any question also.

Question 78. If the English alphabet is written in reverse order, which will be the third letter to the right of the 15th letter from the left?


a. I
b. H
c. G
d. J

Answer: (a)

Z Y X W V U T S R Q P O N
1 2 3 4 5 6 7 8 9 10 11 12 13
M L K J I H G F E D C B A
14 15 16 17 18 19 20 21 22 23 24 25 26

15th letter: L

3rd letter to right of L: I

Question 79. The managing director of a firm arrived at the conference Hall 10 minutes before 12:30 to interview and it was 20 minutes before the chairman. If the chairman arrived half an Hour late than the scheduled time for the interview, then what was the scheduled time for the interview.


a. 11 : 55
b. 12 : 05
c. 12 : 15
d. 12 : 10

Answer: (d)

The managing director arrived 10 minutes before 12:30. So, he arrived at 12:20.

12:20 is 20 minutes before the arrival of the chairman. The chairman arrived at 12:40.

But since the chairman arrived half an hour late than the scheduled time. The scheduled time for the arrival of the chairman was 12:40 – 30 minutes = 12:10.

Question 80. How many such 4 are there in the following number series, where 3 is immediately before and 2 is immediately after

45362434293410342743234234


a. 2
b. 3
c. 4
d. 5

Answer: (b)

We need to search for the number 342 in the given number series.

45362434293410342743234234

There are 3 occurrences of 342 in the given number series.

Direction: (Q. 81 to 83) Choose water image of given figure/word(X)

Question 81. Choose the correct water image

Haryana NTSE 2021 Stage 1 MAT Question 81


Answer: (a)

The water image of the given set of letters and numbers is as shown.

Haryana NTSE 2021 Stage 1 MAT Question 81 solution

Question 82. Choose the correct water image

Haryana NTSE 2021 Stage 1 MAT Question 82


Answer: (b)

Haryana NTSE 2021 Stage 1 MAT Question 82 solution

Question 83. Choose the correct water image

Haryana NTSE 2021 Stage 1 MAT Question 83


Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 83 solution

Direction: (Q. 84 to 86) Choose Mirror image of given figure/words(x)

Question 84. Choose Mirror image of given figure

Haryana NTSE 2021 Stage 1 MAT Question 84


Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 84 solution

Question 85. Choose mirror image from the given figure

Haryana NTSE 2021 Stage 1 MAT Question 85


Answer: (c) or(d)

Both (c) and (d) are exactly the same.

Haryana NTSE 2021 Stage 1 MAT Question 85 solution

Question 86. Choose Mirror image of given figure

Haryana NTSE 2021 Stage 1 MAT Question 86


Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 86 solution

Question 87. Which number is opposite to 4?

Haryana NTSE 2021 Stage 1 MAT Question 87


a. 2
b. 5
c. 1
d. 3

Answer: (c)

The 1st dice can be rotated as shown to give the 2nd dice configuration.

Haryana NTSE 2021 Stage 1 MAT Question 87 solution

According to this, 6 is opposite to 2, 3 is opposite to 5 and 1 is opposite to 4.

Question 88. What is opposite to $?

Haryana NTSE 2021 Stage 1 MAT Question 88


a. 1
b. #
c. @
d. %

Answer: (a)

From first and second % is opposite to @

From second, third and fourth = is opposite to #.

So, 1 is opposite to $.

Direction: (Q. 89 to 91) In a given cube:

(a) Red colour is opposite to Black

(b) Green is between Red & black

(c) Brown and Blue near to each other

(d) Blue & White near to each other

(e) Red colour on base

Give answer on the bases of given information:

According to the given directions, the cube formed is as shown:

Haryana NTSE 2021 Stage 1 MAT Question 89-91

Question 89. Which 4 colours are near to each other?


a. Black, Blue, Brown, Red
b. Green, Brown, Red, White
c. Blue, Brown, Red, White
d. Black, Blue, Red, White

Answer: BONUS

Here we cannot have four colours near to each other. At max, only three colours can be adjacent to each other. The fourth will always come opposite to any one of them.

Question 90. Which colour is opposite to white?


a. Brown
b. Red
c. Green
d. Blue

Answer: (a)

Brown is opposite to white.

Question 91. Conclusion of (a) and (e) Point:


a. Blue colour on Top
b. Black colour on Top
c. Green colour on Top
d. White colour on Top

Answer: (b)

From (a) and (e), it is certain that Black colour is on the top face of the cube.

Direction: (Q. 92 to 94) Each side of the solid cube is 12 cm. The opposite face of this cube is painted Red, Blue and Black. After this, the cube is cut into small cubes whose sides are 2 cm. Answer the following questions on this basis:


Question 92. What will be the number of cubes with colourless faces?


a. 8
b. 27
c. 36
d. 64

Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 92 solution

Total number of cubes per edge of the bigger cube = n = 12/2 = 6

Total number of cubes = 63 = 216.

Number of cubes with colourless faces = Total cubes – cubes present on the faces of the larger cube = 216 – (2×62) – 2x4x6 – 2×42 = 64 cubes.

Question 93. What will be the number of cubes with three faces painted in three different colours?


a. 0
b. 4
c. 8
d. None of these

Answer: (c)

Haryana NTSE 2021 Stage 1 MAT Question 93 solution

All the corner cubes will have 3 faces painted in three different colours. The number of corners of a cube = 8.

So, 8 cubes have their 3 faces painted with three different colours.

Question 94. How many cubes will have one of its faces red and other faces colourless?


a. 18
b. 24
c. 32
d. 36

Answer: (c)

The cubes that do not share the edges with other faces having different colour will have one of its face red colours and all other faces colourless. There are 42 = 16 such cubes on each red face.

Total number of such cubes = 2 x 42 = 32 cubes.

Question 95. Select a proper group of letters from the given alternations

c _ bbb _ _ abbbb_ abbb_


a. aabcb
b. abccb
c. abacb
d. bacbb

Answer: (b)

The given pattern is cab bbbcab bbb cab bbb

Question 96. In a certain code language GARNISH is written as RGAINHS. What will GENIOUS be written in that code language?


a. NEGOISU
b. NGEOISU
c. NGESUOI
d. NEGSUOI

Answer: (b)

GARNISH = 1234567

RGAINHS = 3125476

GENIOUS = 1234567

3125476 = NGEOISU

Question 97. In a certain code language INKER is written as GLLGT and GLIDE is written as EJJFG, What will JINKS be written in that code language?


a. GFOMU
b. HGMMU
c. HGOGH
d. HGOMU

Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 97 solution

Question 98. If U is denoted by 7, M by 2, I by 5, O by 1, K by 8 and J by 4, then what will be the numeric form of the word MOUJIK, when written in the reverse order?


a. 217458
b. 845712
c. 854712
d. 857412

Answer: (c)

U = 7, M = 2, I = 5, O = 1, K = 8, J = 4

MOUJIK = 217458

Reverse order = 854712

Direction:(Q.99 & 100) Choose wrong number in the given series

Question 99. 10, 26, 74, 218, 654, 1946, 5834


a. 26
b. 74
c. 218
d. 654

Answer: (d)

10 x 3 – 4 = 26

26 x 3 – 4 = 74

74 x 3 – 4 = 218

218 x 3 – 4 = 650

650 x 3 – 4 = 1946

1946 x 3 – 4 = 5834

654 is the odd term in the series as can be seen from above calculations.

Question 100. 325, 259, 202, 160, 127, 105, 94


a. 94
b. 127
c. 105
d. 202

Answer: (d)

Haryana NTSE 2021 Stage 1 MAT Question 100 solution

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