NTSE Mathematics Number System MCQs Set 02

Question: The LCM of two number is 12 times their H.C.F. The sum of the H.C.F and L.C.M. is 403. If one of the numbers is 93, then the other number is.

• a) 134
• b) 124
• c) 128
• d) 310

Answer: 124

Question: Find a four-digit number of the form a, abb which is perfect square :

• a) 7,799
• b) 7,766
• c) 7,755
• d) 7,744

Answer: 7,744

Question: Find the value of 397 × 397 + 104 × 104 + 2 × 397 × 104.

• a) 2350001
• b) 251001
• c) 260101
• d) 261001

Answer: 251001

Question:

    is equal to  :

• a) 9
• b) 8
• c) 4.5
• d) None of these

Answer: 4.5

Question: Find a four-digit number of the form a, abb which is perfect square :

• a) 7,799
• b) 7,766
• c) 7,755
• d) 7,744

Answer: 7,744

Question: The value of   is 

• a) 4
• b) 9
• c) 2
• d) 0

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

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

Answer: 22

Question: The LCM of two number is 12 times their H.C.F. The sum of the H.C.F and L.C.M. is 403. If one of the numbers is 93, then the other number is.

• a) 134
• b) 124
• c) 128
• d) 310

Answer: 124

Question: The value of  

 is

• a) 4
• b) 9
• c) 2
• d) 0

Answer: 2

Question: Find the product of 

             for n ≥ 4 .

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Find the greatest number less than 100000 which is divisible by 38, 60 and 64

• a) 98000
• b) 91200
• c) 76000
• d) 85000

Answer: 91200

Question: N = 123 × 132 × 14. Total number of factors of N is          

• a) 64
• b) 192
• c) 24
• d) None of these

Answer: 192

Question: Find the greatest number which will divide 12288, 28421, 44333 so as to leave the same remainder in each case.

• a) 272
• b) 120
• c) 431
• d) 221

Answer: 221

Question: The numerator and denominator of a fraction are in ratio 2 : 3. If 6 is subtracted from the numerator, the result will be 2/3 of the original fraction. What is the value of the numerator ?

• a) 27
• b) 18
• c) 36
• d) 6

Answer: 18

Question: What is the HCF of  ?

• a)

  

• b) 6
• c)

  

• d)

  

Answer:

Question: Which parts contain the fractions is ascending order ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A boy was asked to multiple a certain number by 53. Instead he divided it by 53 and got his answer to be less than the correct one by 5616. The number to be multiplied was :

• a) 53
• b) 106
• c) 159
• d) 212

Answer: 106

Question: An auto driver saves one coin of Rs. 2 on first day of the week, three coins of Rs. 2 on the 2nd day of the week, five on the 3rd day and so on. How mush money will be have at the end of the week. ?

• a) 49
• b) 98
• c) 196
• d) 245

Answer: 98

Question: Which of the following is greatest ?

• a) 2222
• b)

  

• c)

  

• d)

  

Answer:

Question: What is the smallest three - digit number which when divided by 6 leaves a remainder of 5 and when divided by 5 leaves a remainder of 3 ?

• a) 125
• b) 113
• c) 137
• d) 309

Answer: 113

Question: If 41% of a number is less than 76% of the same number by 105, what is the number ?

• a) 400
• b) 500
• c) 600
• d) 300

Answer: 300

Question:

If   then value of    is 

• a) 1
• b) 0
• c) 2
• d) 5

Answer: 1

Question: The L.C.M. of 2 numbers of three digits each is 1740 and the H.C.F. is 209. The two numbers are

• a) 290,870
• b) 580,870
• c) 290,580
• d) 290,1106

Answer: 580,870

Question:

• a)

  

• b)

  

• c) 3
• d)

  

Answer:

Question: The rational form of 2.7435 is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The exponential form of   is 

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

Answer: 6^1/4                         

Question: Arrange the following surds in ascending order

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The sum of the 1st 50 natural numbers is.

• a) 1275
• b) 1325
• c) 1450
• d) 1375

Answer: 1275

Question: If x= 7 + 4 √3 then the value of 

  is

• a) 8
• b) 6
• c) 5
• d) 4

Answer: 4

Question: Which among the following is the greatest:

• a)

  

• b)

  

• c)

  

• d) All are equal

Answer:

Question: The Value of

• a) 50
• b) 0.031
• c) 20
• d) 0.001

Answer: 20

Question: If x = 3+ √3 then what is the value is  

• a) (15 + 3√3)            
• b) (18 + 3√3)                         
• c) (27 +3√3)                
• d) None of these

Answer: None of these

Question: The H.C.F. of 10,

   is -    

• a) 1
• b) 10
• c) 10²⁰                         
• d) 10^-40

Answer: 10^-40

Question: In a school 437 boys and 342 girls have been divided into classes, so that each class has the same number of students and no class has boys and girls mixed. What is the least number of classes needed ?

• a) 51
• b) 43
• c) 41
• d) 39

Answer: 41

Question: Six bells start tolling together and they toll at intervals of 2, 4, 6, 8, 10, 12 sec. respectively, find how many times will they toll together in 30 min ?

• a) 13
• b) 15
• c) 17
• d) 16

Answer: 16

Question: Find the largest four digit number which when reduced by 54, is perfectly divisible by all even natural numbers less than 20.

• a) 5081
• b) 5094
• c) 5001
• d) 5196

Answer: 5094

Question: How many numbers between 200 and 600 are divisible by 4, 5, and 6 ?

• a) 6
• b) 7
• c) 8
• d) 9

Answer: 6

Question: If the LCM of first 100 natural numbers is P then the LCM of first 105 natural numbers would be :

• a) P
• b) P + 105
• c) P(P + 101)(P + 103)
• d) 103 × 101 × P

Answer: 103 × 101 × P

Question: A number when divided by 259+ leaves a remainder 139. What will be the remainder when the same number is divided by 37 ?

• a) 21
• b) 23
• c) 27
• d) 28

Answer: 28