The sum of the digits of a two-digit number is 10, while when the digits are reversed, the number decreases by 54. Find the the changed number ?
28
19
37
46
The correct answer is 28.
The sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean. Find the numbers.
11,4
12,3
13,2
10,5
The correct answer is 12,3
If A381 is divisible by 11, find the value of the smallest natural numberA?
5
6
7
9
The correct answer is 7
Find the LCM of 5/2, 8/9, 11/14.
280
360
420
None of these
The correct answer is None of these
Find the number of divisors of 1420.
14
15
13
12
The correct answer is 12
A milkman has three different qualities of milk. 403 gallons of 1st quality, 465 gallons of 2nd quality and 496 gallons of 3rd quality. Find the least possible number of bottles of equal size in which different milk of different qualities can be filled without mixing?
34
46
26
44
The correct answer is 44
What is the greatest number of 4 digits that when divided by any of the numbers 6, 9, 12, 17 leaves a remainder of 1?
9997
9793
9895
9487
The correct answer is 9793
Which of the following is not a perfect square?
100858
3, 25, 137
945723
All of these
The correct answer is All of these
The LCM of (16 – x²) and (x² + x – 6) is
(x – 3)(x + 3)(4 – x²)
4(4 – x²)(x + 3)
(4 – x²)(x – 3)
None of these
The correct answer is None of these
GCD of x² – 4 and x² + x – 6 is
x + 2
x – 2
x² – 2
x² + 2
The correct answer is x – 2
Decompose the number 20 into two terms such that their product is the greatest.
x₁ = x₂ = 10
x₁ = 5, x₂ = 15
x₁ = 8, x₂ = 12
None of these
The correct answer is x₁ = x₂ = 10
Find the GCD ofthe polynomials (x + 3)²(x – 2)(x + 1)² and (x + 1)³(x + 3)(x + 4).
(x + 3)³(x + 1)²(x – 2)(x + 4)
(x + 3)(x – 2)(x + 1)(x + 4)
(x + 3)(x + 1)²
None of these
The correct answer is (x + 3)(x + 1)²
Find the LCM of (x + 3) (6x² + 5x – 4) and (2x² + 7x + 3)(x + 3)
(2x + 1)(x + 3)(3x + 4)
(4x² – 1)(x + 3)²(3x + 4)
(4x² – 1)(x + 3)(3x + 4)
(2x – 1)(x + 3)(3x + 4)
The correct answer is (4x² – 1)(x + 3)²(3x + 4)
The product of three consecutive natural numbers, the first of which is an even number, is always divisible by
12
24
8
All of these
The correct answer is All of these
Find the pairs of natural numbers whose least common multiple is 78 and the greatest common divisor is 13.
58 and 13 or 16 and 29
38 and 23 or 36 and 49
18 and 73 or 56 and 93
78 and 13 or 26 and 39
The correct answer is 78 and 13 or 26 and 39
Fill in the blank indicated by a star in the number 4*56 so as to make it divisible by 33
3
4
5
None of these
The correct answer is 3
Find the least number which being divided by 9, 12, 16 and 30 leaves in each case a remainder 3?
623
723
728
None of these
The correct answer is 723
Find the greatest number less than 10000 which is divisible by 48, 60 and 64
9600
8500
7600
None of these
The correct answer is 9600
Find the least multiple of 11 which when divided by 8, 9, 12, 14 leaves 4 as remainder in each case.
1012
1037
1090
None of these
The correct answer is 1012
The LCM of two number is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93 find the other.
134
124
128
None of these
The correct answer is 124
I have to spend 1/10 of my income on house rent, 1/10 of remainder on conveyance 1/3 of further remainder on children’s education after which I have Rs.648 left over. What is my income?
1200
1400
1700
None of these
The correct answer is 1200
A man had two sons. To the elder he gave 5/11 of his property, to the younger 5/11 of remainder, the rest to the widow. Find the Share of the sons if the widow gets Rs.3600
