Q. 1
Intelligence Tests
Difficulty: Hard
(1 Mark)
In order to write counting upto 100, how many times the key of the typewriter will have to be pressed?
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Step-by-Step Explanation & Concept Rationale
9 keys (1-9) + 180 keys (10-99) + 3 keys (100) = 192 total key presses.
Q. 2
Intelligence Tests
Difficulty: Hard
(1 Mark)
How many figures are required in numbering the pages of a book of 365 pages?
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Step-by-Step Explanation & Concept Rationale
9 (1-9) + 180 (10-99) + 798 (100-365) = 987 total digits (figures).
Q. 3
Intelligence Tests
Difficulty: Hard
(1 Mark)
867 is the product of two numbers, of which is 3 times the other. What is the sum of the numbers?
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Step-by-Step Explanation & Concept Rationale
If x⋅3x=867, then x=17 and 3x=51. Sum: 17+51=68.
Q. 4
Intelligence Tests
Difficulty: Hard
(1 Mark)
How often does the sum of 81459 and 54306 contain their difference?
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Step-by-Step Explanation & Concept Rationale
Find the Sum:
\(81459+54306=135765\)
Find the Difference:
\(81459-54306=27153\)
Divide the Sum by the Difference:
\(135765\div 27153=5\)
Therefore, the sum contains their difference exactly 5 times.
\(81459+54306=135765\)
Find the Difference:
\(81459-54306=27153\)
Divide the Sum by the Difference:
\(135765\div 27153=5\)
Therefore, the sum contains their difference exactly 5 times.
Q. 5
Intelligence Tests
Difficulty: Hard
(1 Mark)
If 2 masons build one wall in twelve weeks, how many walls 12 masons in two weeks?
Correct Answer / Solution Key:
-1
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Step-by-Step Explanation & Concept Rationale
Applying the work-rate formula (M1D1/W1=M2D2/W2), the result is 1 wall.
Q. 6
Intelligence Tests
Difficulty: Hard
(1 Mark)
How should you get exactly 8 litres of milk... one 5-litre and one 2-litre container?
Correct Answer / Solution Key:
Fill up one 5-litre... [Key Text]
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Step-by-Step Explanation & Concept Rationale
The process involves specific iterative measurements using the two containers to reach the target volume.
Q. 7
Intelligence Tests
Difficulty: Medium
(1 Mark)
A spider... 15ft up, 7ft down. Net 8ft/min. What height in 15 minutes?
Correct Answer / Solution Key:
(120 ft.)
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Step-by-Step Explanation & Concept Rationale
At a net rate of 8 feet per minute, the spider covers 120 feet in 15 minutes (8×15=120).
Q. 8
Intelligence Tests
Difficulty: Medium
(1 Mark)
Reservoir filling at 5/hr, leaking at 2/hr. How long to fill 60 cubic meters?
Correct Answer / Solution Key:
(20 hrs.)
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Step-by-Step Explanation & Concept Rationale
Net filling rate is 3 cubic meters per hour (5−2=3). 60/3=20 hours.
Q. 9
Intelligence Tests
Difficulty: Hard
(1 Mark)
Stranger figure: 1, 3, 8, 27, 81, 243, 729
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Step-by-Step Explanation & Concept Rationale
The series consists of powers of 3 (30,31,32=9...); 8 is not a power of 3.
Q. 10
Intelligence Tests
Difficulty: Hard
(1 Mark)
Which of the following is necessarily true?
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Step-by-Step Explanation & Concept Rationale
Derived from the provided distances: K is 1 mile south of M and ½ mile north of L.
Q. 11
Intelligence Tests
Difficulty: Hard
(1 Mark)
If Road E is somewhere between Roads B and C, then which of the following is false?
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Step-by-Step Explanation & Concept Rationale
This spatial configuration contradicts the established road distances in City Y.
Q. 12
Intelligence Tests
Difficulty: Hard
(1 Mark)
Which of the following possibilities would make two roads coincide?
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Step-by-Step Explanation & Concept Rationale
Based on the distances in City Y, certain displacements align parallel roads into the same coordinate.
Q. 13
Intelligence Tests
Difficulty: Hard
(1 Mark)
If Road X is parallel to Road I and Road X is ½ mile south of Road J and 1 mile north of Road G, which two roads would be ½ mile apart?
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Step-by-Step Explanation & Concept Rationale
Calculating the relative north-south positions of the G-M road set identifies X and H as 0.5 miles apart.
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