Reasoning and Aptitude Quiz
sqrt(3sqrt(80) + 3/(9 + 4sqrt(5))) = ?
- sqrt(3sqrt(5))
- 3
- 3sqrt(3)
- 3 + 2sqrt(5)
The correct answer is 3sqrt(3).
x and y are integers and If (x ^ 2)/(y ^ 3) is even integer then which of the following must be an even integer?
- x-y
- y + 1
- (x ^ 2)/(y ^ 4)
- xy
The correct answer is xy.
What is the tens’ digit of the sum of the first 50 terms of 1, 11, 111, 1111, 11111, 111111,………………….?
- 2
- 4
- 5
- 8
The correct answer is 4.
If 81^y=1/27^x in terms of y,x=?
- (3y)/4
- -(3y)/4
- (4y)/3
- -(4y)/3
The correct answer is -(4y)/3.
If 1/(n + 1) < 1/31 + 1/32 + 1/33 < 1/n then n?
- 9
- 10
- 11
- 12
The correct answer is 10.
If one integer is greater than another integer by 3, and the difference of their cubes is 117, what could be their sum?
- 11
- 7
- 8
- 9
The correct answer is 7.
Which of these has total 24 positive factors?
- 21 ^ 5 * 2 ^ 3
- 2 ^ 7 * 12 ^ 3
- 2 ^ 6 * 3 ^ 4
- 63 * 55
The correct answer is 63 * 55.
Two numbers, x and y are such that when divided by 6, they leave remainder 4 and 5 respectively. Find the remainder when x ^ 3 + y ^ 3 is divided by 6?
- 2
- 3
- 4
- 5
The correct answer is 3.
What is the remainder when N=( 1! + 2! + 3! +…1000!)^ 40 is divided by 10?
- 1
- 3
- 7
- 8
The correct answer is 1.
Set A is formed by selecting some of the numbers from the first 100 natural numbers such that the HCF of any two numbers in the set A is 5, what is the maximum number elements that set A can have?
- 7
- 8
- 9
- 10
The correct answer is 9.
Lets x and y be positive integers such that x is prime and y is composite. Then,
- y – x cannot be an even integer
- (x + y)/x cannot be an even integer
- (x + y) cannot be even.
- None of the above statements are true
The correct answer is None of the above statements are true.
Let N = 1421 * 1423 * 1425 What is the remainder when N is divided by 12?
- 0
- 9
- 3
- 6
The correct answer is 3.
When a four digit number is divided by 85 it leaves a remainder of 39. If the same number is divided by 17 the remainder would be?
- 2
- 5
- 7
- 9
The correct answer is 5.
Integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?
- 289
- 367
- 453
- 307
The correct answer is 307.
A box contains 100 tickets, numbered from 1 to 100. A person picks out three tickets from the box, such that the product of the numbers on two of the tickets yields the number on the third ticket. Which of the following tickets can never be picked as third ticket?
- 10
- 12
- 25
- 26
The correct answer is 25.
N is a natural number, then how many values of N are possible such that Natural Number? (64N ^ 3 + 3N ^ 2 + N + 24)/N is also a Natural Number?
- 6
- 7
- 8
- 9
The correct answer is 8.
What is the unit digit of 39 ^ 53 * 27 ^ 23 * 36 ^ 12?
- 2
- 4
- 6
- 8
The correct answer is 2.
How many number of zeros are there if we multiply all the prime numbers between 0 and 200
- 1
- 2
- 3
- 4
The correct answer is 1.
A man wrote all the natural numbers starting from 1 in a series. What will be the 50th digit of the number?
- 1
- 2
- 3
- 4
The correct answer is 3.
N = n(n+1)(n+2)(n+3)(n + 4) where n is a natural number. Which of the following statement/s is/are true?
1. Unit digit of N is 0.
2. N is perfectly divisible by 24.
3. N is perfect square.
4. N is odd.
- 3 only
- 3 and 4 only
- 1 only
- 1 and 2 only
The correct answer is 1 and 2 only.
How many factors of N = 12 ^ 12 * 14 ^ 14 * 15 ^ 15 are multiple of K = 12 ^ 10 * 14 ^ 10 * 15 ^ 10
- 2 * 4 * 5
- 3 * 5 * 6
- 8 * 7 * 4 * 5
- 9 * 8 * 6 * 5
The correct answer is 9 * 8 * 6 * 5.
In a certain base 137+254=402 then What is the sum of 342+562 in that base
- 904
- 1014
- 1104
- 1024
The correct answer is 1014.
Some More You Need To Practice
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