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Number System Questions for Competitive Exams

4 years ago 33.2K Views
Q :  

A rational number between and is :

(A)

(B)

(C)

(D)

Correct Answer : A

Q :  

In a school of the boys are same in number as of the girls and   of the girls are same in number as    of the boys. The ratio of the boys to girls in that school is: 

(A) 4 : 3

(B) 3 : 2

(C) 2 : 1

(D) 5 : 2

Correct Answer : D

Q :  

If * means adding 6 times the second number to the first number then ( 1 * 2 ) *   3 equals : 

(A) 121

(B) 91

(C) 31

(D) 93

Correct Answer : C

Q :  

How many even three-digit numbers can be formed from the digits 1 , 2 , 5 , 6 and 9 without repeating any of the digits? 

(A) 40

(B) 24

(C) 120

(D) 48

Correct Answer : B

Q :  

What is the sum of two consecutive even numbers, the difference of whose square is 84? 

(A) 42

(B) 46

(C) 38

(D) 34

Correct Answer : A

Q :  

A man spends   of his income on food,    of his income house rent and   of his income on clothes. If he still has Rs. 400 left with him, his income is: 

(A) Rs. 6000

(B) Rs. 7000

(C) Rs. 4000

(D) Rs. 5000

Correct Answer : A

Q :  

How many natural numbers divisible by 7 are there between 3 and 200? 

(A) 28

(B) 29

(C) 27

(D) 36

Correct Answer : A
Explanation :

Number just greater than 3 which is divisible by 7 = 7

Number just smaller than 200 which is divisible by 7 = 196

Here, a = 7, an = 196,

d = 7, n = 8

a= a + (n –1)d

⇒196 = 7 + (n – 1) × 7

⇒ 

⇒ n = 27 + 1 = 28

Note : We can find the answer after dividing 200 by 7. The quotient is our answer.


Q :  

A number when divided by 296 gives a remainder 75. When the same number is divided by 37 the remainder will be: 

(A) 8

(B) 1

(C) 2

(D) 11

Correct Answer : B
Explanation :

Let number (dividend) be X.

∴ X = 296 × Q + 75 where Q is the quotient and can have the values 1, 2, 3 etc.

= 37 × 8 × Q + 37 × 2 + 1

= 37 (8Q + 2) + 1

Thus we see that the remainder is 1.

[Remark : When the second divisor is a factor of the first divisor, the second remainder is obtained by dividing the first remainder by the second divisor.

Hence, divide 75 by 37, the remainder is 1].


Q :  

Which of the following is the largest fraction    

(A)

(B)

(C)

(D)

Correct Answer : C

Q :  

Two number 11284 and 7655, when divided by a certain number of three digits, leaves the same remainder. The sum of digits of such a three - digits number is: 

(A) 25

(B) 250

(C) 125

(D) 225

Correct Answer : C

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