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All questions of NTSE Question Bank: MAT for Class 10 Exam

Directions to Solve:
In each of the following questions (Q1-25), five words have been given out of which four are alike in some manner, while the fifth one is different. Choose the word which is different from the rest.
Question: Choose the word which is different from the rest.
  • a)
    Chicken
  • b)
    Snake
  • c)
    Swan
  • d)
    Crocodile
  • e)
    Frog
Correct answer is option 'A'. Can you explain this answer?

Priya Rane answered
The answer is A: Chicken.
Explanation:
The given words can be categorized as follows:
Chicken- It is a bird and lays eggs.
Snake, Crocodile, and Frog- These are reptiles and amphibians, and they lay eggs.
Swan- It is a bird and lays eggs.
Among these, Chicken is different because it is the only domesticated bird, while the others are wild animals.

Look at this series: 201, 202, 204, 207, ... What number should come next?
  • a)
    205
  • b)
    208
  • c)
    210
  • d)
    211
Correct answer is option 'D'. Can you explain this answer?

Nandini Iyer answered
In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on.

Find the missing number.
17, 19, 23, 29, 31, 37, _____
  • a)
    47 
  • b)
    43 
  • c)
    40 
  • d)
    41
Correct answer is option 'D'. Can you explain this answer?

Shruti Dey answered
The given numbers are consecutive prime numbers in increasing order starting with 17.
Hence, the next number in the series is 41.

0, 4, 18, 48, ___, 180
  • a)
    58
  • b)
    144
  • c)
    84
  • d)
    100
Correct answer is option 'D'. Can you explain this answer?

Lavanya Menon answered
1st term = 5
2nd term = 5 × 2 + 3 = 13
3rd term = 13 × 3 + 2 = 41
4th term = 41 × 2 + 3 = 85 
5th term = 85 × 3 + 2 =257...
⇒ For every term at even position, the previous term is multiplied by 2 and 3 is added.
⇒ For every term at odd position, the previous term is multiplied by 3 and 2 is added.
So the missing term is: 257 × 2 + 3 = 517

Look at this series: 2, 6, 18, 54, ... What number should come next?
  • a)
    108
  • b)
    148
  • c)
    162
  • d)
    216
Correct answer is option 'C'. Can you explain this answer?

Aisha Gupta answered
CORRECT OPTION IS (C)
This is a simple multiplication series. Each number is 3 times more than the previous number.

Cube of a natural number will never end with the digit
  • a)
    0
  • b)
    1
  • c)
    3
  • d)
    none of these
Correct answer is option 'D'. Can you explain this answer?

Arun Sharma answered
There'd no such digit which can't end in a cube of a natural number. Hence a cube of a natural number can end with any digit.
1³= 1 (ends with 1)
2³= 8 (ends with 8)
3³= 27 (ends with 7)
4³= 64 (ends with 4)
5³= 125 (ends with 5)
6³= 216 (ends with 6)
7³= 343 (ends with 3)
8³= 512 (ends with 2)
9³= 729 (ends with 9)
0³= 0 (ends with 0)
Hence the last digits are 0,1,8,7,4,5,6,3,2,9
Therefore we see every digits are last digits of these cubes. Hence a cube of a natural number can end with any digit.

17, __, 65, 113, 129, 161, 209.
  • a)
    34
  • b)
    33
  • c)
    40 
  • d)
    44
Correct answer is option 'B'. Can you explain this answer?

Shalini Patel answered
1st term = 8
2nd term = 8 x 2 = 16
3rd term = 16 x 3 = 48
4th term = 48 x 2 = 96
5th term = 96 x 3 = 288
6th term = 288 x 2 = 576...
⇒ For every term at even position, the previous term is multiplied by 2.
⇒ For every term at odd position, the previous term is multiplied by 3.
So the missing term is: 576 × 3 = 1728

Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
  • a)
    52
  • b)
    56
  • c)
    92
  • d)
    128
Correct answer is option 'B'. Can you explain this answer?

Anjali Gupta answered
The series is 14, 28, 20, 40, 32, 64
Take three terms at a time. The notation be as follows:-
Let, First term = a = 14
It is evident that Second term= 2*a = 2 * 14 = 28 and,
The Third term = Second term - 8 OR ( 2*a - 8 ) = 28 - 8 = 20
Now consider the third, fourth and the fifth term.
Let, Third term = a = 20
It is evident that Fourth term= 2*a = 2 * 20 = 40 and,
The Fifth term = Second term - 8 OR ( 2*a - 8 ) = 40 - 8 = 32
Similarly consider fifth, sixth and the seventh(term to be found).
Let, Fifth term = a = 32
It is evident that Sixth term = 2*a = 2 * 32 = 64 and,
The Seventh term ( term to calculated) = Second term - 8 OR ( 2*a - 8 ) = 64 - 8 = 56
 

12000, 2395, 474, 89.8, ___.
  • a)
    17.96
  • b)
    12.96
  • c)
    22.96 
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Vikas Kapoor answered
The given numbers are squares of consecutive natural numbers in decreasing order starting with 15,
i.e., the numbers 225, 196, 169, ____, 100, 81 can be written as 152, 142, 132 , ____, 112 , 102 , 92.
Hence, the missing number is 122 = 144.

A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is: 
  • a)

  • b)
    4 p.m.
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Time from 7 a.m. to 4.15 p.m. = 9 hours 15 min = 37/4 hours
3 min 5 sec of this clock = 3 min. of the correct clock.
⇒ 37/720 hours of this clock = 1/20 hours of the correct clock
⇒ 37 hours of this clock = (1/20 x 720/37 x 37/4) hours of the correct clock.
= 9 hours of the correct clock.
∴ The correct time is 9 hours after 7 a.m. i.e., 4 p.m

Look at this series: 2, 4, 6, 8, 10, ... What number should come next?
  • a)
    11
  • b)
    12
  • c)
    13
  • d)
    14
Correct answer is option 'B'. Can you explain this answer?

Kiran Reddy answered
Each number increases by 2.
Like -
First number is 2
Second number = 2 + 2 =4
Third number = 4 + 2 = 6
Fourth number = 6 + 2 = 8
Fifth number = 8 + 2 = 10  and
Sixth number = 10 + 2 = 12
Hence, The answer is (b) 12.

.

  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
Correct answer is option 'C'. Can you explain this answer?

BT Educators answered
15 past 5 means quarter past 5 = (5:15)
⇒ (11*15 - 60*5)/2 = 67.5

The reflex angle between the hands of a clock at 10.25 is:
  • a)
    1800
  • b)
  • c)
    1950
  • d)

Correct answer is option 'D'. Can you explain this answer?


Angle traced by hour hand in 125/12 hrs = 
Angle traced by minute hand in 25 min = 
∴ Reflex angle = 3600

Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
  • a)
    20
  • b)
    25
  • c)
    30
  • d)
    50
Correct answer is 'A'. Can you explain this answer?

Varun Kapoor answered
This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.

A clock is started at noom. By 10 mimutes past 5, the hour hand has turned through:
  • a)
    1450
  • b)
    1500
  • c)
    1550
  • d)
    1600
Correct answer is option 'C'. Can you explain this answer?


Maya Menon answered
Angle traced by hour hand in 12 hrs = 360º.
Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs 
= (360/12*31/6)°
= 155º

.

  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
Correct answer is option 'B'. Can you explain this answer?

EduRev UPSC answered
At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min.
40 min. spaces are gained in 
∴ Required time =  min. past 5.

100, 70, 46, 28, __, 10
  • a)
    17
  • b)
    15
  • c)
    20
  • d)
    16
Correct answer is option 'D'. Can you explain this answer?

Vivek Patel answered
1st term = 75
2nd term = 75 + 216 = 75 + 63 = 291
3rd term = 291 + 125 = 291 + 53 = 416
4th term = 416 + 64 = 416 + 43 = 480
5th term = 480 + 27 = 480 + 33 = 507...
The differences are cubes of consecutive natural numbers in decreasing order from 6.
So, the missing term = 507 + 8 = 507 + 23 = 515

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
  • a)
    00
  • b)
    100
  • c)
    50
  • d)
    200
Correct answer is option 'B'. Can you explain this answer?

Pooja Shah answered
The angle between hour and minute hand in 4:20 is 10 degrees.
For a minute, the hour hand rotates by 30/60 = 1/2 degrees.
hence, for 20 minutes it rotates by an angle of 20*1/2 = 10 degrees.

Look at this series: 1.5, 2.3, 3.1, 3.9, ... What number should come next?
  • a)
    4.2
  • b)
    4.4
  • c)
    4.7
  • d)
    5.1
Correct answer is option 'C'. Can you explain this answer?

Alok Mehta answered
In this simple addition series, each number increases by 0.8.
Rule = (1st no.) (1st no. + 0.8 = 2nd no.) (2nd no. + 0.8 = 3rd number)...
Now (1.5) (1.5 + 0.8 = 2.3) (2.3 + 0.8 = 3.1) (3.1 + 0.8 = 3.9) (3.9 + 0.8 = 4.7)...
So the anwser is c = 4.7

1, 8, 28, 99, 412, 2075, ____.
  • a)
    12450 
  • b)
    12462
  • c)
    10387
  • d)
    10375
Correct answer is option 'B'. Can you explain this answer?

Lavanya Menon answered
The 1st to 5th terms are 0, 5, 22, 57, 116.
These terms are 1 – 1, 8 – 3, 27 – 5, 64 – 7, 125 – 9.
i.e. 13 – 1, 23 – 3, 33 – 5, 43 – 7, 53 – 9
So, the nth term of the series: n3 – (2n – 1).
So, the 6th term of the series is 63 – (2 × 6 –1) = 216 – 11 = 205.

In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that code?
  • a)
    SHFDQ
  • b)
    HFDSQ
  • c)
    RSAFD
  • d)
    QDFHS
Correct answer is option 'D'. Can you explain this answer?

Arya Dey answered
Substitution Cipher

The given code is a substitution cipher, where each letter of the original word is replaced by a corresponding letter in the code.

Steps to Solve:

- We need to find the pattern between the original word and the code.
- The first letter of the original word 'M' is replaced by the letter 'X' in the code. Therefore, there is a shift of 12 letters in the alphabet.
- Similarly, the second letter 'O' is replaced by 'D' which is 10 letters ahead of 'O'.
- Continuing this pattern, we get the code for 'TIGER' as 'QDFHS'.

Therefore, the correct answer is option 'D' - QDFHS.

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