Reasoning Ability — MCQ Practice Questions & Answers

Question 1

Rahul starts from point A and walks 10 km towards the North. He then turns right and walks 15 km. After this, he turns left and walks 8 km. Finally, he turns right and walks 12 km to reach point B. What is his net displacement from point A in terms of direction?

Accepted Answer

Correct answer: A. 27 km towards North-East — Step 1: Establish Coordinate System and Track North-South Movement Let point A be at origin (0, 0). North is positive y-direction, East is positive x-direction. Starting position: (0, 0) - Walks 10 km North: position becomes (0, 10) - Turns right (now facing East) and walks 15 km: position becomes (15, 10) - Turns left (now facing North) and walks 8 km: position becomes (15, 18) - Turns right (now facing East) and walks 12 km: position becomes (27, 18) 	ext{Final position B} = (27, 18) Step 2: Calculate Net Displacement The net displacement is the straight-line distance from point A to point B using the Pythagorean theorem. 	ext{Displacement} = \sqrt{(27-0)^2 + (18-0)^2} = \sqrt{27^2 + 18^2} = \sqrt{729 + 324} = \sqrt{1053} = \sqrt{729 + 324} = \sqrt{1053} \approx 32.45 	ext{ km} Step 3: Determine Direction of Displacement Find the angle from North towards East using trigonometry. 	an(	heta) = \frac{	ext{East component}}{	ext{North component}} = \frac{27}{18} = \frac{3}{2} = 1.5 	heta = \arctan(1.5) \approx 56.3° This means the di

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B. 25 km towards East-North-East

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C. 23 km towards North-East

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D. 20 km towards East

Question 2

Priya faces North. She turns 90° clockwise, then 45° counter-clockwise, then 135° clockwise. Finally, she turns 90° counter-clockwise. Which direction is she facing now?

Accepted Answer

Correct answer: C. South — Step 1: Initial Position and First Turn Priya starts facing North. She turns 90° clockwise. 	ext{North} + 90° 	ext{ clockwise} = 	ext{East} Step 2: Second and Third Turns Combined From East, she turns 45° counter-clockwise, then 135° clockwise. 45° 	ext{ counter-clockwise} - 135° 	ext{ clockwise} = -90° 	ext{ (net clockwise)} 	ext{East} + 90° 	ext{ clockwise} = 	ext{South} Step 3: Final Turn From South, she turns 90° counter-clockwise. 	ext{South} + 90° 	ext{ counter-clockwise} = 	ext{East} **Priya is now facing East, not South. However, if we verify the total rotation: North → 90° CW → 45° CCW → 135° CW → 90° CCW gives a net rotation of 90° clockwise from North, which is East.** Note: The given answer of South appears to be incorrect based on the step-by-step calculation. The correct answer should be East.

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A. North-West

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B. East

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D. South-West

Question 3

Three friends P, Q, and R are standing in a line. Q is to the West of P. R is to the South of Q. If R walks 10 meters North and then 5 meters East, he will be at the same position as Q. How far is P from R in the North-South direction?

Accepted Answer

Correct answer: B. 10 meters — Since R reaches Q's position by walking 10 meters North and 5 meters East, this means R was initially 10 meters South of Q and 5 meters West of Q. Given Q is West of P and they're in a line, P is East of Q. Therefore, P is 10 meters North of R in the North-South direction.

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A. 5 meters

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C. 15 meters

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D. Cannot be determined

Question 4

A person standing at origin moves 4 units North, then 3 units West, then 5 units South, then 2 units East, and finally 1 unit North. After these movements, if he turns 45 degrees clockwise from his current facing direction (which is North), which direction will he face?

Accepted Answer

Correct answer: A. North-East — The person's final position relative to origin is: North (4-5+1=0), West (3-2=1). His current facing direction remains North. Turning 45 degrees clockwise from North results in facing North-East direction.

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B. South-East

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C. North-West

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D. South-West

Question 5

Next in series: 3, 6, 11, 18, 27, __?

Accepted Answer

Correct answer: B. 38 — This question asks you to identify the pattern in the sequence and find the next number. Step 1: Find the differences between consecutive terms Calculate the first differences between each pair of adjacent numbers. 6-3=3, \quad 11-6=5, \quad 18-11=7, \quad 27-18=9 Step 2: Analyze the pattern in differences The first differences form their own sequence: 3, 5, 7, 9. 	ext{This is an arithmetic sequence increasing by 2 each time} Step 3: Find the next difference and the missing term The next difference should be 9 + 2 = 11, so add this to the last term. 27 + 11 = 38 The next number in the series is 38, making the answer (B).

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A. 36

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C. 40

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D. 42

Question 6

If BOOK=CPPL, DOOR=?

Accepted Answer

Correct answer: A. EPPS — This question tests pattern recognition by finding the cipher rule that transforms letters in a word. Step 1: Analyze the given transformation BOOK=CPPL Each letter shifts by a consistent number of positions in the alphabet. B 	o C 	ext{ (shift +1)}, \quad O 	o P 	ext{ (shift +1)}, \quad O 	o P 	ext{ (shift +1)}, \quad K 	o L 	ext{ (shift +1)} Step 2: Apply the same rule to DOOR Each letter in DOOR shifts forward by 1 position in the alphabet. D 	o E, \quad O 	o P, \quad O 	o P, \quad R 	o S Step 3: Write the transformed word Combining all shifted letters in sequence. 	ext{DOOR} = 	ext{EPPS} The answer is (A) EPPS, as each letter in DOOR shifts forward by exactly one position in the alphabet.

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B. EQPS

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C. EQOR

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D. FQPS

Question 7

All roses are flowers. Some flowers fade. Therefore?

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Correct answer: B. Some roses may fade — This question tests logical reasoning through categorical statements and syllogisms. Step 1: Identify the Given Statements We have two premises: (1) All roses are flowers, and (2) Some flowers fade. 	ext{Roses} \subset 	ext{Flowers} \quad 	ext{and} \quad 	ext{Some Flowers} ightarrow 	ext{Fade} Step 2: Determine What We Can Conclude About Roses Since only "some" flowers fade (not all), we cannot conclude that all roses fade. However, roses ARE flowers, so roses could potentially be part of the group that fades. 	ext{Roses} \subset 	ext{Flowers} \quad 	ext{and} \quad 	ext{Some Flowers fade} \Rightarrow 	ext{Some roses MAY fade} Step 3: Eliminate Incorrect Options - (A) "All roses fade" — Too strong; we only know some flowers fade, not all - (C) "No roses fade" — Contradicts the fact that some flowers fade - (D) "Roses never fade" — Same as (C); impossible to conclude 	ext{Only (B) acknowledges the possibility without making an absolute claim} **The correct answer is (B) Some roses may fade, because while

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A. All roses fade

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C. No roses fade

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D. Roses never fade

Question 8

Statement: Some pens are books. All books are tables. Conclusion: Some pens are tables.

Accepted Answer

Correct answer: A. True — This question tests logical deduction using set theory and Venn diagrams to determine if a conclusion necessarily follows from given statements. Step 1: Identify the sets and relationships We have three sets: Pens, Books, and Tables. The first statement "Some pens are books" means there is an intersection between the Pens set and Books set. 	ext{Pens} \cap 	ext{Books} 
eq \emptyset Step 2: Apply the second statement The statement "All books are tables" means every element in the Books set is also in the Tables set, so Books is a subset of Tables. 	ext{Books} \subseteq 	ext{Tables} Step 3: Deduce the conclusion Since some pens are books (Step 1) AND all books are tables (Step 2), any pen that is a book must also be a table. Therefore, some pens must be tables. 	ext{If } x \in (	ext{Pens} \cap 	ext{Books}) 	ext{ and } 	ext{Books} \subseteq 	ext{Tables, then } x \in 	ext{Tables} **The conclusion "Some pens are tables" is logically True because any pen belonging to the Books set must also belong to the Tables set, given that all books

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B. False

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C. Uncertain

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D. Cannot say

Reasoning Ability - MCQ Practice Questions