Two numbers when divided by a certain divisor gives remainders 43 and 37 respect
ID: 1943557 • Letter: T
Question
Two numbers when divided by a certain divisor gives remainders 43 and 37 respectively. When their sum is divided by the same divisor, the remainder is 13. Find the divisor?a) 30 b) 57 c) 67 d) Data insufficient
Which of the following is a perfect square?
a) 74582547 b) 34967368 c) 11957764 d) 29873032
If the five digit number 44´8y is divisible by 72, then find the least possible value of x+y.
a) 4 b) 3 c) 5 d) 1
119 + 911 divisible by
a) 9 b) 10 c) 11 d) 22
In how many ways 144 can be written as the product of two different factors?
a) 8 b) 6 c) 5 d) 7
Which ;is the greatest among the given numbers?
a) 3(3)22 b) 3(2)32 c) 2(3)23 d) 2(3)32
5n-5´(25)1-2n´(125)n+1?
a) 0 b) 1 c) 25 d) 125
If 11+22+33+44+ ……. +1010 is divided by 5 then the remainder is?
a) 3 b) 4 c) 1 d) 2
What is the sum of all prime numbers between 10 and 20?
a) 49 b) 43 c) 60 d) 41
Find the square root of 99225?
a) 315 b) 3015 c) 325 d) 355
Explanation / Answer
13) a) C it is 67... let divisor be = k,remainder of (43+37)/k is = 13 and k >43 so k = 67 b)11957764 is a perfect square c) 44x8y is divisible by 72 means divisible by 8*9 for divisibility by 9 sum of digits is divisible by 9 so (16+x+y) is divisible by 9 so least valuce of x+y is = 2 which is not in the options. d)119 + 911 = 1030 which is divisible by 10 so option = B e) 144 as product of 2 different factors 1*144 2*72 3*48 4*36 6*24 8*18 12*12 so number of ways = 7 ways so option is D f)Which ;is the greatest among the given numbers? it is 3*3*22 = 198 is the greatest option is =A g) If 11+22+33+44+ ……. +1010 is divided by 5 then the remainder is? sum is = 1505 so when divided by 5 remainder will be = 0 h) What is the sum of all prime numbers between 10 and 20? 11+13+17+19 = 60 so option C i)square root of 99225 is = 315 so option = A
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