Q. 1
Intelligence Tests
Difficulty: Hard
(1 Mark)
If I go 15 miles to the west... and if I go three miles to the east, I will be 17 miles from my house...
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Step-by-Step Explanation & Concept Rationale
If a traveler is at 20 miles west and moves 3 miles east, they arrive at 17 miles from the start point.
Q. 2
Intelligence Tests
Difficulty: Hard
(1 Mark)
Four masons can build one sixth of a wall in 3 days. How much... by six masons in 6 days?
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Step-by-Step Explanation & Concept Rationale
Work rate calculation (M1D1/W1=M2D2/W2) shows 36 man-days completes half the wall.
Q. 3
Intelligence Tests
Difficulty: Hard
(1 Mark)
A boy had twice as many sums right as wrong. If he had 24 sums in all, how many... right?
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Step-by-Step Explanation & Concept Rationale
Let W be wrong; 2W+W=24⟹3W=24⟹W=8; Right = 16.
Q. 4
Intelligence Tests
Difficulty: Hard
(1 Mark)
Two men X and Y... X goes 4 miles west, Y goes 1 mile east... Y turns back and walks 4 miles...
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Step-by-Step Explanation & Concept Rationale
Calculation shows both end up at a point 3 miles West of the origin (Note: typo in question or key).
Q. 5
Intelligence Tests
Difficulty: Hard
(1 Mark)
A man travels one mile turns right... travels another mile, turns left...
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Step-by-Step Explanation & Concept Rationale
This question is a classic direction and distance aptitude puzzle that relies on the Pythagorean theorem (\(a^2 + b^2 = c^2\)) to find the direct straight-line distance (displacement) from the starting point:
Horizontal Distance (\(a\)): The total distance traveled sideways combines to 3 miles.
Vertical Distance (\(b\)): The total distance traveled up or down combines to 4 miles.
Direct Distance (\(c\)): By calculating \(\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25}\), we get exactly 5 miles.
Horizontal Distance (\(a\)): The total distance traveled sideways combines to 3 miles.
Vertical Distance (\(b\)): The total distance traveled up or down combines to 4 miles.
Direct Distance (\(c\)): By calculating \(\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25}\), we get exactly 5 miles.
Q. 6
Intelligence Tests
Difficulty: Hard
(1 Mark)
Forty is to sixty as 2x is to ——
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Step-by-Step Explanation & Concept Rationale
The ratio of 40 to 60 is 2:3; the same ratio applied to 2x yields 3x.
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