NTSE Mathematics Number System MCQs Set 01

Question: Three out of the following four expression are exactly equal. Find the expression, which is not equal to the other three.

• a) 122 ÷ 16 + 7 × 3 
• b) 16 × 9 ÷ 12 + 9 × 2
• c) 182 ÷ 12 + 3  
• d) 18 × 6 ÷ 12 + 7 × 2

Answer: 18 × 6 ÷ 12 + 7 × 2

Question: Simplify : 

• a) 1
• b)

  

• c)

  

• d)

  

Answer:

Question: Which of the following numbers is exactly divisible by 99 ?

• a) 3572403
• b) 135732
• c) 913464
• d) 114345

Answer: 114345

Question: Find the value of

• a)

  

• b)

  

• c)

  

• d) None of these

Answer:

Question: In the numerator of a fraction is decreased by 40% and the denominator is increased by 100% the new value is 1. What was the original fraction ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Simplify

• a) 11.2
• b) 1.2
• c) 0.02
• d) 0.12

Answer: 0.12

Question: How many natural number between 200 and 400 are there which are divisible by I. Both 4 and 5 ? II. 4 or 5 or 8 or 10 ?

• a) 9, 79
• b) 10, 80
• c) 9, 81
• d) 10, 81

Answer: 9, 79

Question: What is the remainder when 763 is divided by 344 ?

• a) 1
• b) 343
• c) 338
• d) None of these

Answer: 343

Question: Which of following numbers

        is/are rational ?                

• a)

  

• b)

  

• c)

  

• d) All of these

Answer:

Question: What will be the unit digit of 1⁷⁸¹ + 2⁷⁸¹ + 3⁷⁸¹ ….. + 9⁷⁸¹ ?

• a) 1
• b) 3
• c) 5
• d) 7

Answer: 5

 More Questions................

Question: What will be the last digit of  

• a) 7
• b) 9
• c) 1
• d) 3

Answer: 7

Question: What is the remainder when 7⁸⁴ is divided by 2402 ? 

• a) 1
• b) 6
• c) 2401
• d) None of these

Answer: 2401

Question: What is the remainder when 9875347 × 7435789 × 5789743 is divided by 4 ?

• a) 1
• b) 2
• c) 3
• d) None of these

Answer: 1

Question: P is a prime number greater than 5. What is the remainder when P is divided by 6 ?

• a) 5
• b) 1
• c) 1 or 5
• d) None of these

Answer: 1

Question: What is the remainder when 5⁸⁷ is divided by 15 ?         

• a) 0
• b) 5
• c) 10
• d) None of these

Answer: 10

Question: What is the largest of 12 that would dived 49 ?

• a) 22
• b) 23
• c) 21
• d) None of these

Answer: 22

Question: How many zeroes will be there at the end of 36!^36! ?   

• a) 8
• b) 64
• c) 8 × 36 !
• d) None of these

Answer: 8 × 36 !

Question: How many zeroes will be there at the end of the product (2!)^2! × (4!)^4! × (6!)^6! × (8!)^8! × (10!)^10!? 

• a) 10! + 6!                    
• b) 2(10!)
• c) 10! + 8! + 6!
• d) 6! + 8! + 2(10!)

Answer: 6! + 8! + 2(10!)

Question: If the places of last two digits of three digit number are interchanges, a new number greater then the original number by 27 is obtained. Find the difference between the last two digits of that number.

• a) 6
• b) 3
• c) 8
• d) 9

Answer: 3 

Question: Two numbers, x and y, are such that when divided by 6, they leave remainders 4 and 5 respectively. Find the remainder when (x² + y²) is divided by 6.

• a) 3
• b) 4
• c) 5
• d) None of these

Answer: 5

Question: A number being successively divided by 3, 5 and 8 leaves remainder 1, 4 and 7 respectively. Find the respective remainders in the order of divisors be reversed.

• a) 6, 5, 1
• b) 6, 4, 2
• c) 2, 4, 6
• d) 1, 3, 3

Answer: 6, 4, 2

Question: How many zeros at the end of first 100 multiples of 10.

• a) 100
• b) 124
• c) 920
• d) 1225

Answer: 124

Question: Find unit’s digit in y=  7¹⁷ + 7³⁴           

• a) 6
• b) 3
• c) 7
• d) 9

Answer: 6

Question: There are four prime number written in ascending order. The product of the first three is 385 and that of the last three is 1001. The last number is :

• a) 11
• b) 13
• c) 17
• d) 19

Answer: 13

Question: Find the square root of  7-4√3

• a) 2- √3           
• b) 5-√3                        
• c) 2+ √3                
• d) None of these

Answer: 2- √3                

Question: How many three-digit numbers would be find, which when divided by 3, 4, 5, 6, 7 leave the remainders 1, 2 ,3, 4 and 5 respectively ?

• a) 4
• b) 3
• c) 2
• d) 1

Answer: 2

Question: Three pieces of cakes of weights

ibs respectively are to the divided into parts of equal weights. Further, each must be as heavy as possible. If one such part is served to each guest, then what is the maximum number of guests that could be entertained ?

• a) 54
• b) 72
• c) 20
• d) 41

Answer: 41

Question: IF (2³²+ 1) divisible by a certain number then which of the following is also divisible by the number.

• a) (2¹⁶ – 1)                 
• b) 2¹⁶ + 1                              
• c) 2⁹⁶ + 1                
• d) None of these

Answer:  2⁹⁶ + 1                

Question: What will be the last digit of  

• a) 9
• b) 7
• c) 3
• d) 1

Answer: 3

Question: The 288th term of the series a,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f,......is :

• a) u
• b) v
• c) x
• d) w

Answer: x