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National Level Solved Paper (MAT) - 2016-17 - Class 10 MCQ


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30 Questions MCQ Test NTSE for Class 10 - National Level Solved Paper (MAT) - 2016-17

National Level Solved Paper (MAT) - 2016-17 for Class 10 2024 is part of NTSE for Class 10 preparation. The National Level Solved Paper (MAT) - 2016-17 questions and answers have been prepared according to the Class 10 exam syllabus.The National Level Solved Paper (MAT) - 2016-17 MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for National Level Solved Paper (MAT) - 2016-17 below.
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National Level Solved Paper (MAT) - 2016-17 - Question 1

Some translated words in an artificial language (in which the word order is not necessarily same) are given below:

mie pie sie good person sing
pie sie rie sing good lyrics
tie rie sie love good lyrics

Q. What is the translation for “person love lyrics”?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 1

Given
mie pie sie good person sing   (i)
pie sie rie sing good lyrics    (ii)
tie rie sie love good lyrics    (iii)
Now from (i), (ii) & (iii), code for ‘GOOD’ is ‘SIE’
from (ii) & (iii) code for ‘LYRICS’ is ‘RIE’
From (i) & (ii), code for ‘SING’ is ‘PIE’
So the given code for a ‘PERSON’ is ‘MIE’.
From (iii) code for love is tie.

National Level Solved Paper (MAT) - 2016-17 - Question 2

In the given sequence, some letters are missing. Which of the given options can fill the blanks in the correct order from left to right?

ab_ab_aaa_bbaaa_bbbb

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 2

ab/ a ab b/aaa b bb/aaa a bbbb

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National Level Solved Paper (MAT) - 2016-17 - Question 3

Identify the number in the position of ‘?’

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 3

From the given question

National Level Solved Paper (MAT) - 2016-17 - Question 4

Find the missing number.

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 4

From the given question
122 – 82
144 – 64
= 80

162 – 72
256 – 49
= 207

252 – 212
625 – 441
=184

National Level Solved Paper (MAT) - 2016-17 - Question 5

If A, B, C, D are distinct decimal digits, then which of the following options is correct?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 5

From the given question

National Level Solved Paper (MAT) - 2016-17 - Question 6

Observe the following figure representing a balance.

Q. Which of the following figures represents the correct balance?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 6

From the given question

So the answer figure (3) will represent the correct balance.

National Level Solved Paper (MAT) - 2016-17 - Question 7

Choose appropriate option from given alternatives such that the relationship defined by ‘:’ is preserved.

PNIJ : LIFC and VTRP : ______

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 7

From the given question

National Level Solved Paper (MAT) - 2016-17 - Question 8

A coin is in a fixed position. Another identical coin is rolled around the edge of the first one. How many complete revolutions will be made by the revolving coin before it reaches its starting position?

Image result for A coin is in a fixed position. Another identical coin is rolled around the edge of the first one. How many complete revolutions will be made by the revolving coin before it reaches its starting position?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 8

According to given question the point of contact no. both the stationary coin and the rotating coin must move in the same distance, so half the circumference of the coin.

National Level Solved Paper (MAT) - 2016-17 - Question 9

If South-East becomes North; and NorthEast becomes West; then West becomes

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 9

From given question South-East becomes North → Changes by 135° (ACW)
West becomes → South east

National Level Solved Paper (MAT) - 2016-17 - Question 10

A cube is 6 cm in length, breadth and height. It is painted red on two opposite faces, black on the other two opposite faces and green on the left over faces. It is then cut into 216 cubes of side 1 cm. How many small cubes have no face painted?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 10

From the given question

Number of small cubes have no face painted
= (6 – 2)3 = (4)3 = 64
So the number of small cubes have no face painted is 64.

National Level Solved Paper (MAT) - 2016-17 - Question 11

Find the odd-one out of the following terms:

EF22, JK42, GH24, VW90, IJ38

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 11

According to given question
Sum of positions value of alphabets × 2 = Given number
EF → 22 5 + 6 =11 × 2 ⇒ 22

National Level Solved Paper (MAT) - 2016-17 - Question 12

Choose the conclusions which logically follow from the given statements.

Statement:
All the pens are papers
All the papers are boats
Some birds are boats.

Conclusions:
(A) Some boats are pens
(B) Some birds are papers
(C) None of the pens are birds

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 12

Statement:

Conclusions:

National Level Solved Paper (MAT) - 2016-17 - Question 13

How many quadrilaterals are there in the given figure?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 13


From the given figure
Quadrilateral are

National Level Solved Paper (MAT) - 2016-17 - Question 14

Which of the following alternatives will fit in place of ‘M’?

255, 3610, 4915, M, 8125

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 14


So from given alternative we will fit 20 in place of 20.

National Level Solved Paper (MAT) - 2016-17 - Question 15

Which of the following alternatives will fit in place of ‘M’?

L6, O8, R11, M, X25, A42, D75

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 15

National Level Solved Paper (MAT) - 2016-17 - Question 16

Which of the following alternatives will fit in place of ‘M’?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 16

From the given question
Column-1
7 + 2 + 1 + 4 = 14
Column-2
3 + 8 + 1 + 2 = 14
Similarly
Column-3
2 + 4 + 4 + M = 14
M = 4

National Level Solved Paper (MAT) - 2016-17 - Question 17

If ‘∑' means 'X', 'δ' means '÷', 'σ' means '+' and '∝' means '-' then evaluate the following expression using standard operator precedence.

56δ(6σ8)∑4∝1

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 17

According to given question
56 ÷ (6 + 8) x 4 - 1
56 ÷ 14 x 4 - 1
4 x 4 - 1
16 – 1 = 15

National Level Solved Paper (MAT) - 2016-17 - Question 18

With what operators, should the symbols @ and < be replaced so that the following expression is valid.

100 – 81 ÷ 27 @ 3 < 6 = 115

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 18

L.H.S. = 100 – 81 ÷ 27 @ 3 < 6 = 115
⇒ 100 - 81 ÷ 27 @ 3 × 6  ⇒ 100 - 3 + 18
⇒ 100 + 18 - 3  ⇒ 118 - 3 ⇒ 115 = RHS

National Level Solved Paper (MAT) - 2016-17 - Question 19

x is an integer such that it leaves a remainder of 2 when divided by 3, leaves a remainder of 3 when divided by 5, and leaves a remainder of 5 when divided by 7. What could be a possible value of x from among the following options?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 19

According to the given questions, the number is
x = 3P1 + 2
Also, x = 5P2 + 3
and x = 7P3 + 5
From above
x = 3P1 + 2 = 5P2 + 3 = 7P3 + 5
⇒ On solving we get P1 = 22, P2 = 13, P3 = ?
so the solution is x = 68.

National Level Solved Paper (MAT) - 2016-17 - Question 20

In how many ways can you distribute 10 identical balls into two non-identical boxes so that none are empty?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 20


From the given boxes, it is clear that Total number of ways are 9.

National Level Solved Paper (MAT) - 2016-17 - Question 21

One line forms two regions in a plane. Similarly, two lines in a plane can form a maximum of four regions. These are shown in the figures below:

What is the maximum number of regions that can be formed by 4 lines in a plane? Lines need not be concurrent.

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 21

National Level Solved Paper (MAT) - 2016-17 - Question 22

You need to take n arbitrary points on or inside a square of side 2 cm such that there will always be a pair of points at a distance of not more than √2 cm. What is the minimum value of n?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 22


From the above figure it is clear that minimum number of points inside a square of side 2 cm are P, Q, R, S, T whose pairwise distance is not more than √2.

National Level Solved Paper (MAT) - 2016-17 - Question 23

The following facts are known about an unknown number X:

I: The sum of digits of X is 15.
II: The unit’s digit of X is 6.

Then which of the following statements is certainly true about X?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 23

Sum of digit’s is divisible by 3 and unit digit is even → number is divisible by 6 and sum of digit is not divisible by 9. So ‘X’ is divisible by 6 and sum of digit is also not divisible by 9.

National Level Solved Paper (MAT) - 2016-17 - Question 24

The average age of A, B and C is 43 years. Which of the following statements are required to find the eldest among them?

Statements:
I: Age of C is 65 years.
II: Age of A is 25 years.

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 24

According to the question
Average age of A, B and C is

∴ A + B + C = 129
Now C = 65
∴ A + B = 64
Since sum of ages of A + B is less than age of C, therefore statement I alone is sufficient.

National Level Solved Paper (MAT) - 2016-17 - Question 25

Directions: A class is to be taught five subjects_Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers—A, B, C, D and E in five periods (1 to 5). A teacher can teach in only one of the periods. The following details are available about the teaching.

  • A teaches Mathematics which is not taught in the first period.
  • Physics is taught by D in an even numbered period.
  • Chemistry is taught in an odd period, and it precedes Mathematics period.
  • E teaches in the first period.
  • C teaches Chemistry but not in the first or the last periods.
  • Hindi is taught in the last period.

Q. Which of the following statements is necessarily true?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 25

National Level Solved Paper (MAT) - 2016-17 - Question 26

Directions: A class is to be taught five subjects_Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers—A, B, C, D and E in five periods (1 to 5). A teacher can teach in only one of the periods. The following details are available about the teaching.

  • A teaches Mathematics which is not taught in the first period.
  • Physics is taught by D in an even numbered period.
  • Chemistry is taught in an odd period, and it precedes Mathematics period.
  • E teaches in the first period.
  • C teaches Chemistry but not in the first or the last periods.
  • Hindi is taught in the last period.

Q. Which subject is taught by B?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 26

National Level Solved Paper (MAT) - 2016-17 - Question 27

A solid metallic cylinder of radius 12 cm and height 175 cm is melted and moulded into another solid cylinder of height 63 cm. What is the radius of the new cylinder?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 27

From given question
Here r1 = 12 cm
h1 = 175 cm
r2 = ?
h2 = 63 cm
Volume of c1 = Volume of c2
πr12 h1 = πr22 h2
122 × 175 = r22 × 63
∴ r2 = 20
So the radius of new cylinder is 20 cm.

National Level Solved Paper (MAT) - 2016-17 - Question 28

Choose the option which shows the correct mirror image of the characters given below.

D I V E R T 6 4 7 5 A L E

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 28

The given observation is

National Level Solved Paper (MAT) - 2016-17 - Question 29

Directions: There are 150 students in a class. 20 students play both hockey and kabaddi. The same numbers of students play only football. 35 students play both hockey and football but not kabaddi. 25 plays both football and kabaddi but not hockey. The number of students who play only hockey is the same as the number of students who do not play any of three mentioned games and the number of students who play only hockey is half of the number of students who play only football.

Q. How many students play only kabaddi?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 29


Here K = Number of players who play Kabaddi
H = Number of players who play Hockey
F = Number of players who play Football.

National Level Solved Paper (MAT) - 2016-17 - Question 30

Directions: There are 150 students in a class. 20 students play both hockey and kabaddi. The same numbers of students play only football. 35 students play both hockey and football but not kabaddi. 25 plays both football and kabaddi but not hockey. The number of students who play only hockey is the same as the number of students who do not play any of three mentioned games and the number of students who play only hockey is half of the number of students who play only football.

Q. How many students play only hockey?

Detailed Solution for National Level Solved Paper (MAT) - 2016-17 - Question 30


Here K = Number of players who play Kabaddi
H = Number of players who play Hockey
F = Number of players who play Football.

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