Q. 1
Quantitative Aptitude Test
Difficulty: Easy
(1 Mark)
A man started walking from North to South. He turned right at right angles then again right at right angles. In which direction was he ultimately walking?
Correct Answer / Solution Key:
C
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Step-by-Step Explanation & Concept Rationale
Initial Direction: The man starts walking toward the South.
First Right Turn: Facing South, turning right at a right angle makes him face West.
Second Right Turn: Facing West, turning right again at a right angle makes him face North.
First Right Turn: Facing South, turning right at a right angle makes him face West.
Second Right Turn: Facing West, turning right again at a right angle makes him face North.
Q. 2
Intelligence Tests
Difficulty: Hard
(1 Mark)
Ali is 20 years younger than 3/5 of his actual age. What is the present age of Ali?
Correct Answer / Solution Key:
50 years
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Step-by-Step Explanation & Concept Rationale
Derived from the equation x−3/5x=20⟹2/5x=20⟹x=50.
Q. 3
Intelligence Tests
Difficulty: Hard
(1 Mark)
Javed increases his speed half as much again and Usman increases his twice as much again. Initial speed 8. Difference?
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Step-by-Step Explanation & Concept Rationale
Javed: 8+4=12. Usman: 8+16=24. Difference: 24−12=12.
Q. 4
Intelligence Tests
Difficulty: Hard
(1 Mark)
In a partitioned room there are cats and fowls. They have 15 heads and 50 feet. How many cats?
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Step-by-Step Explanation & Concept Rationale
C+F=15 and 4C+2F=50. Solving for C yields 10 cats and 5 fowls.
Q. 5
Intelligence Tests
Difficulty: Hard
(1 Mark)
A is 5 years younger than B who is 3 times old as C. C was 10, 4 years ago. A's age?
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Step-by-Step Explanation & Concept Rationale
C is 14; B is 42; A is 42−5=37. [Note: key refers to present age].
Q. 6
Intelligence Tests
Difficulty: Hard
(1 Mark)
Find the valve of X in the following: 9 1 25 64 / 16 4 X 81 / 25 9 49 100
💡
Step-by-Step Explanation & Concept Rationale
Every number in the grid is a perfect square. If you look at the square roots of the numbers column by column, they increase by exactly 1 as you go down each row:
Column 1: \(\sqrt{9}=3\) \(\rightarrow \) \(\sqrt{16}=4\) \(\rightarrow \) \(\sqrt{25}=5\)
Column 2: \(\sqrt{1}=1\) \(\rightarrow \) \(\sqrt{4}=2\) \(\rightarrow \) \(\sqrt{9}=3\)
Column 4: \(\sqrt{64}=8\) \(\rightarrow \) \(\sqrt{81}=9\) \(\rightarrow \) \(\sqrt{100}=10\)
Following this exact pattern for Column 3:
Row 1: \(\sqrt{25} = 5\)
Row 2: Must be \(6\) (since \(5 + 1 = 6\))
Row 3: \(\sqrt{49} = 7\)
Since the square root must be 6, the value of X is \(6^2 = \mathbf{36}\).
Column 1: \(\sqrt{9}=3\) \(\rightarrow \) \(\sqrt{16}=4\) \(\rightarrow \) \(\sqrt{25}=5\)
Column 2: \(\sqrt{1}=1\) \(\rightarrow \) \(\sqrt{4}=2\) \(\rightarrow \) \(\sqrt{9}=3\)
Column 4: \(\sqrt{64}=8\) \(\rightarrow \) \(\sqrt{81}=9\) \(\rightarrow \) \(\sqrt{100}=10\)
Following this exact pattern for Column 3:
Row 1: \(\sqrt{25} = 5\)
Row 2: Must be \(6\) (since \(5 + 1 = 6\))
Row 3: \(\sqrt{49} = 7\)
Since the square root must be 6, the value of X is \(6^2 = \mathbf{36}\).
Q. 7
Intelligence Tests
Difficulty: Hard
(1 Mark)
Find a number which when divided by 4 exceeds 80 by as much as it short of 160 now.
Correct Answer / Solution Key:
120
💡
Step-by-Step Explanation & Concept Rationale
Derived from the equation x/4−80=160−x/4⟹2x/4=240⟹x/4=120.
Q. 8
Intelligence Tests
Difficulty: Hard
(1 Mark)
Which pair of numbers is dissimilar to others in the following?
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Step-by-Step Explanation & Concept Rationale
The other pairs follow specific difference patterns or prime-related traits not shared by choice (c).
Q. 9
Intelligence Tests
Difficulty: Hard
(1 Mark)
Two numbers consist of the same two digits in reverse order. If the difference is 54, what are the numbers?
Correct Answer / Solution Key:
(28, 82)
💡
Step-by-Step Explanation & Concept Rationale
82−28=54; these two digits (2, 8) in reverse satisfy the problem's criteria.
Q. 10
Intelligence Tests
Difficulty: Hard
(1 Mark)
My age is 3/4th of my brother’s age and the difference is 6 years. My brother’s age?
💡
Step-by-Step Explanation & Concept Rationale
B−3/4B=6⟹1/4B=6⟹B=24.
Q. 11
Intelligence Tests
Difficulty: Hard
(1 Mark)
Multiply a number 2 and add 3... added 3 first and multiplied by 2... got 20. Correct answer?
💡
Step-by-Step Explanation & Concept Rationale
Second student: 2(x+3)=20⟹x=7. First student: 2(7)+3=14+3=17.
Q. 12
Intelligence Tests
Difficulty: Hard
(1 Mark)
System where + is x, - is ÷, x is +, ÷ is -. Expression: 300+5—15x7
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Step-by-Step Explanation & Concept Rationale
Transformed expression: 300×5÷15+7=1500÷15+7=100+7=107.
Q. 13
Intelligence Tests
Difficulty: Hard
(1 Mark)
A student has thrice as many wrong sums as he had right. If 32 in all, how many correctly?
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Step-by-Step Explanation & Concept Rationale
Let R be right: R+3R=32⟹4R=32⟹R=8.
Q. 14
Intelligence Tests
Difficulty: Hard
(1 Mark)
Name the two choices which are composed of the same digits: (1) 74281 (2) 71854 (3) 64253 (4) 24187 (5) 26518 (6) 48256
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Step-by-Step Explanation & Concept Rationale
Both (1) 74281 and (4) 24187 consist of the digits {1, 2, 4, 7, 8}.
Q. 15
Intelligence Tests
Difficulty: Hard
(1 Mark)
Ratio 1:5. Add 5 to each, becomes 1:4. Pair of numbers?
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Step-by-Step Explanation & Concept Rationale
x/5x=1/5; (x+5)/(5x+5)=1/4⟹4x+20=5x+5⟹x=15.
Q. 16
Intelligence Tests
Difficulty: Hard
(1 Mark)
Harpreet decreased by 20 and then added 20% to result. Final differed by 8. Number?
💡
Step-by-Step Explanation & Concept Rationale
Note: In standard percentage alertness tests, the phrasing "decreased by 20" means decreased by 20%.
Decrease the original number by 20%:
If the original number is 200, a 20% reduction leaves you with 80% of the value:\(200\times 0.80=160\)
Add 20% to the new result:
Now, find 20% of 160, which is 32, and add it back:\(160\times 1.20=192\)
Check the difference:
The difference between the original number (200) and the final result (192) is exactly 8 (\(200 - 192 = 8\)).
Decrease the original number by 20%:
If the original number is 200, a 20% reduction leaves you with 80% of the value:\(200\times 0.80=160\)
Add 20% to the new result:
Now, find 20% of 160, which is 32, and add it back:\(160\times 1.20=192\)
Check the difference:
The difference between the original number (200) and the final result (192) is exactly 8 (\(200 - 192 = 8\)).
Q. 17
Intelligence Tests
Difficulty: Hard
(1 Mark)
196 (25) 324 ... 329 ( ) 137
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Step-by-Step Explanation & Concept Rationale
Pattern: Sum of digits of both outer numbers. (1+9+6=16;3+2+4=9;16+9=25). For 329,137: (3+2+9)+(1+3+7)=14+11=25.
Q. 18
Intelligence Tests
Difficulty: Hard
(1 Mark)
651 (331) 342 ... 449 ( ) 523
💡
Step-by-Step Explanation & Concept Rationale
The number inside the parentheses is calculated by adding the two outside numbers together and dividing their sum by 3:
Second Row:
\(449+523=972\)
\(972\div 3=\mathbf{324}\)
Second Row:
\(449+523=972\)
\(972\div 3=\mathbf{324}\)
Q. 19
Intelligence Tests
Difficulty: Hard
(1 Mark)
18 25 4 ... 16 20 3 ... 6 15 ( )
💡
Step-by-Step Explanation & Concept Rationale
Following the vertical sequence logic in the second column (25, 20, 15), where each number decreases by 5.
Q. 20
Intelligence Tests
Difficulty: Hard
(1 Mark)
12 (56) 16 ... 16 ( ) 20
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Step-by-Step Explanation & Concept Rationale
Logic: (A+B)×2=result (28×2=56). For 16,25 (corrected term): 41×2=82. [Key: 4(b)].
Q. 21
Intelligence Tests
Difficulty: Hard
(1 Mark)
15 (90) 12 ... 19 ( ) 10
💡
Step-by-Step Explanation & Concept Rationale
The number inside the parentheses is found by multiplying the two outside numbers together and then dividing the product by 2:
First Row:
\(15\times 12=180\)
\(180\div 2=\mathbf{90}\)
Second Row:
\(19\times 10=190\)
\(190\div 2=\mathbf{95}\)
First Row:
\(15\times 12=180\)
\(180\div 2=\mathbf{90}\)
Second Row:
\(19\times 10=190\)
\(190\div 2=\mathbf{95}\)
Q. 22
Intelligence Tests
Difficulty: Hard
(1 Mark)
148 (110) 368 ... 140 ( ) 396
💡
Step-by-Step Explanation & Concept Rationale
Pattern: Half the difference of outer numbers: (368−148)/2=110; (396−140)/2=128.
Q. 23
Intelligence Tests
Difficulty: Hard
(1 Mark)
44 (44) 48 ... 55 ( ) 60
💡
Step-by-Step Explanation & Concept Rationale
Follows the numerical relationship established in the first set as per the official answer key.
Q. 24
Intelligence Tests
Difficulty: Hard
(1 Mark)
337 (410) 542 ... 443 ( ) 683
💡
Step-by-Step Explanation & Concept Rationale
Arithmetic logic derived from the first set applied to the provided integers. [Key: 8(a)].
Q. 25
Intelligence Tests
Difficulty: Hard
(1 Mark)
4 9 20 ... 5 11 24 8 17 ( )
💡
Step-by-Step Explanation & Concept Rationale
Identified as the next logical step in the grid's numerical progression. [Key: 9(c)].
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