Click to Chat

1800-2000-838

+91-120-4616500

CART 0

• 0

MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
`        When 242 is divided by a certain divisor the remainder obtained is 8. When 698  is divided by the same divisor the remainder obtained is 9. However, when the  sum of the two numbers 242 and 698 is divided by the divisor, the remainder  obtained is 4. What is the value of the divisor?`
8 years ago

ritu goyal
13 Points
```										Let the divisor be d.

When 242 is divided by the  divisor, let the quotient be 'x' and we know that the remainder is  8.
Therefore, 242 = xd + 8

Similarly, let y be the quotient when 698  is divided by d.
Then, 698 = yd + 9.

242 + 698 = 940 = xd + yd + 8 +  9
940 = xd + yd + 17
As xd and yd are divisible by d, the remainder when  940 is divided by d should have been 17.

However, as the question states  that the remainder is 4, it would be possible only when Remainders, division  leaves a remainder of 4.

If the remainder obtained is 4 when 17 is  divided by d, then d has to be 13.
```
8 years ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »
• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: Rs. 15,900
• View Details
• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: Rs. 15,900
• View Details