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

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

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

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

Explanation:

0 1101
Q:

Solve the following equation:

 A) -19 B) 119 C) 118 D) -119