14
Q:

The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :

A) 35 and 46 B) 35 and 50
C) 40 and 55 D) 45 and 60

Answer:   A) 35 and 46



Explanation:

Let the numbers be x and y. Then,

 

x^2+y^2=3341......(1)

 

x^2-y^2=891......(2)

 

Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46

 

Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35

 

So, the numbers are 35 and 46

Q:

How many numbers are there from 200 to 800 which are neither divisible by 5 nor by 7?

 

A) 407   B) 410  
C) 413   D) 411  
 
Answer & Explanation Answer: D) 411  

Explanation:
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2 140
Q:

How many natural numbers less than 500, when divided by 35 and 49, will leave a remainder of 30 in each case?

 

 

A) 4 B) 3
C) 1 D) 2
 
Answer & Explanation Answer: C) 1

Explanation:
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0 61
Q:

If the nine-digit number 708x6y8z9 is divisible by 99, then what is the value of x + y + z?

 

A) 5 B) 27
C) 16 D) 9
 
Answer & Explanation Answer: C) 16

Explanation:
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0 155
Q:

If the given number 925x85 is divisible by 11, then the smallest value of x is:

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: D) 4

Explanation:
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0 439
Q:

When a positive integer is divided by d, the remainder is 15. When ten times of the same number is divided by d. the remainder is 6.
The least possible value of d is:

 

A) 9 B) 16
C) 18 D) 12
 
Answer & Explanation Answer: B) 16

Explanation:
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0 136
Q:

The greatest number which should be replace '*’ in the number 146*48 to make t divisible by 8 is:

 

A) 8 B) 9
C) 2 D) 0
 
Answer & Explanation Answer: A) 8

Explanation:
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0 1101
Q:

Solve the following equation:

11÷3+19-5×6 (1×16)=?

A) -19 B) 119
C) 118 D) -119
 
Answer & Explanation Answer: D) -119

Explanation:
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1 1119