Q. 1
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
The H.C.F. of two numbers is 12 and their sum is 96. All the pairs of such numbers is
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Step-by-Step Explanation & Concept Rationale
Standard logic: (13,84) has HCF 12 but sum not 96. (86, 60) doesn't fit. Similarly B and C are also wrong.
Q. 2
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
In finding the G.C.M. of two numbers, the last divisor is 41 and the quotients are 2,4, 2 the numbers are:
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Step-by-Step Explanation & Concept Rationale
To find the two numbers, we can work the long division method for finding the G.C.M. (or H.C.F.) backward, starting from the final step:
Step 3 (Last Step):
Last Divisor = 41, Quotient = 2, Remainder = 0
Dividend = \((41 \times 2) + 0 =\) 82
(This dividend becomes the divisor for the previous step)
Step 2:Divisor = 82, Quotient = 4, Remainder = 41
Dividend = \((82 \times 4) + 41 = 328 + 41 =\) 369
(This is our first number, and it becomes the divisor for the step before it)
Step 1:Divisor = 369, Quotient = 2, Remainder = 82
Dividend = \((369 \times 2) + 82 = 738 + 82 =\) 820
(This is our second number)
The two numbers are 820 and 369.
Step 3 (Last Step):
Last Divisor = 41, Quotient = 2, Remainder = 0
Dividend = \((41 \times 2) + 0 =\) 82
(This dividend becomes the divisor for the previous step)
Step 2:Divisor = 82, Quotient = 4, Remainder = 41
Dividend = \((82 \times 4) + 41 = 328 + 41 =\) 369
(This is our first number, and it becomes the divisor for the step before it)
Step 1:Divisor = 369, Quotient = 2, Remainder = 82
Dividend = \((369 \times 2) + 82 = 738 + 82 =\) 820
(This is our second number)
The two numbers are 820 and 369.
Q. 3
Quantitative Aptitude Test
Difficulty: Medium
(1 Mark)
Highest common factor of 28, 56, 40 is:
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Step-by-Step Explanation & Concept Rationale
Factors: 28(4,7),56(4,14),40(4,10). 4 is the largest shared divisor.
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