Q:

(51 + 52 + 53 + .........+100) is equal to

Answer

51 + 52 + 53 + ...........+ 100


= (1 + 2 + 3 + .... + 100) - (! + 2 + 3 + ...... + 50)


=


=  (5050 - 1275) = 3775

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39 6804
Q:

What least number must be subtracted from 13601, so that the remainder is divisible by 87 ?

A) 23 B) 31
C) 29 D) 37
 
Answer & Explanation Answer: C) 29

Explanation:

87)13601(156
       87
       -----
       490
       435
        -----
        551
        522
         -----
         29
         -----
Required number is 29.

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33 6155
Q:

What smallest number of 6 digit is divisible by 111?

Answer

Smallest number of 6 digits is 100000


on dividing 100000 by 111 we get 100 as remainder 


\inline \fn_jvn \therefore Number to be added = (111 -100) = 11


\inline \fn_jvn \therefore Required Number  = 100011

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20 1082
Q:

The value of

 is:

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19 579
Q:

A number when divided by 296 leaves 75 as remainder.When the same number is divided by 37,the remainder will be:

A) 1 B) 3
C) 5 D) 2
 
Answer & Explanation Answer: A) 1

Explanation:

Let the Number be Y.

Then  Y = 296 q + 75

= (37 x 8)q +( 37 x 2) + 1

= 37 (8q + 2) + 1

Thus, when the number is divided by 37, the remainder is 1

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18 5808