Q. 1
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Shakih is 4 times as old as Zain. Sum of ages is 60. How old is Zain?
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Step-by-Step Explanation & Concept Rationale
Let Zain be x. 4x+x=60⟹5x=60⟹x=12.
Q. 2
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
If 1/8 of a number is 6, what is the number?
💡
Step-by-Step Explanation & Concept Rationale
Calculation: x/8=6⟹x=48.
Q. 3
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Which is the odd number out of 3, 4, 6, 8?
💡
Step-by-Step Explanation & Concept Rationale
3 is the only odd number in the set; all others are even.
Q. 4
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Which is the greatest? 2/5, 3/5, 4/5, 11/15, 7/15
💡
Step-by-Step Explanation & Concept Rationale
Comparing values: 0.4,0.6,0.8,0.73,0.46. 0.8 (4/5) is the greatest.
Q. 5
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
2 is an:
💡
Step-by-Step Explanation & Concept Rationale
2 is the smallest prime, a whole number, and a natural number.
Q. 6
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
0 is an:
💡
Step-by-Step Explanation & Concept Rationale
Whole numbers include 0, whereas natural numbers typically start at 1.
Q. 7
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
2, 4, 6, 8..... are:
💡
Step-by-Step Explanation & Concept Rationale
This sequence consists of integers divisible by 2.
Q. 8
Quantitative Aptitude Test
Difficulty: Hard
(1 Mark)
Which of the following is an odd number? 7, 8, 16, 12
💡
Step-by-Step Explanation & Concept Rationale
7 is the only number in the set not divisible by 2.
Q. 9
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Which of the following is a prime number? 6, 9, 7, 51
💡
Step-by-Step Explanation & Concept Rationale
7 is the only number in the set with no factors other than 1 and itself.
Q. 10
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
The 3 in the number 23,456 represents:
💡
Step-by-Step Explanation & Concept Rationale
The 3 is in the fourth position from the right (ones, tens, hundreds, thousands).
Q. 11
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
The 6 in the number 0.468 represents:
💡
Step-by-Step Explanation & Concept Rationale
The 6 is in the second decimal position.
Q. 12
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Two numbers 4242 and 2903 when divided by a certain number of 3 digits leave the same remainder. The number and the remainder is
💡
Step-by-Step Explanation & Concept Rationale
The Rule: If two numbers leave the same remainder when divided by a certain number, then the difference between those two numbers must be completely divisible by that divisor.
Find the difference:
\(4242-2903=1339\)
Find the 3-digit factor:
We need to find a 3-digit number that divides 1339 perfectly. Let's find its prime factors:
\(1339=13\times 103\)
Since 103 is the only 3-digit factor of 1339, it must be our divisor.
Find the remainder: Divide either original number by 103 to find the remaining value.
\(2903\div 103=28\text{ with a remainder of }\mathbf{19}\)
Find the difference:
\(4242-2903=1339\)
Find the 3-digit factor:
We need to find a 3-digit number that divides 1339 perfectly. Let's find its prime factors:
\(1339=13\times 103\)
Since 103 is the only 3-digit factor of 1339, it must be our divisor.
Find the remainder: Divide either original number by 103 to find the remaining value.
\(2903\div 103=28\text{ with a remainder of }\mathbf{19}\)
Q. 13
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Which is the prime number in 4, 5, 6, 8?
💡
Step-by-Step Explanation & Concept Rationale
5 has no divisors other than 1 and itself.
Q. 14
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
If n is a natural number, then n is?
💡
Step-by-Step Explanation & Concept Rationale
When \(n\) is a perfect square (like 1, 4, 9, 16, etc.):
The square root (\(\sqrt{n}\)) results in a whole number, which is a natural number.
Example: \(\sqrt{4} = 2\) (Natural number)
When \(n\) is not a perfect square (like 2, 3, 5, 7, etc.):
The square root (\(\sqrt{n}\)) results in a non-terminating, non-repeating decimal, which is an irrational number.
Example: \(\sqrt{2} = 1.41421...\) (Irrational number)
The square root (\(\sqrt{n}\)) results in a whole number, which is a natural number.
Example: \(\sqrt{4} = 2\) (Natural number)
When \(n\) is not a perfect square (like 2, 3, 5, 7, etc.):
The square root (\(\sqrt{n}\)) results in a non-terminating, non-repeating decimal, which is an irrational number.
Example: \(\sqrt{2} = 1.41421...\) (Irrational number)
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