Q.1 If all squares are rectangles and all rectangles are quadrilaterals, which of the following statements is correct?
All quadrilaterals are squares
All squares are quadrilaterals
All quadrilaterals are rectangles
All rectangles are squares
Explanation - Since all squares are rectangles and rectangles are quadrilaterals, squares are definitely quadrilaterals.
Correct answer is: All squares are quadrilaterals
Q.2 Find the next number in the series: 2, 6, 12, 20, 30, ...
36
40
42
48
Explanation - The pattern is n^2 + n: 1*2=2, 2*3=6, 3*4=12, 4*5=20, 5*6=30, next is 6*7=42.
Correct answer is: 42
Q.3 If some pens are pencils and some pencils are erasers, then:
All pens are erasers
Some erasers are pens
No pen is an eraser
Cannot be determined
Explanation - The given information is insufficient to conclude any definite relation between pens and erasers.
Correct answer is: Cannot be determined
Q.4 Which of the following statements is logically valid?
If it rains, the ground gets wet
If the ground is wet, it must have rained
If the sun shines, it rains
If it rains, the sun shines
Explanation - The conditional statement 'If it rains, the ground gets wet' is logically valid as rain causes wetness, but the converse is not necessarily true.
Correct answer is: If it rains, the ground gets wet
Q.5 Find the missing term in the series: 5, 10, 20, 40, ?
60
70
80
100
Explanation - The series doubles each time: 5*2=10, 10*2=20, 20*2=40, 40*2=80.
Correct answer is: 80
Q.6 If A implies B and B implies C, then which of the following is true?
C implies A
A implies C
B implies A
C implies B
Explanation - By the transitive property of implication: If A → B and B → C, then A → C.
Correct answer is: A implies C
Q.7 Which number should replace the question mark: 2, 5, 10, 17, ?
24
26
28
30
Explanation - The series follows n^2 + 1: 1^2+1=2, 2^2+1=5, 3^2+1=10, 4^2+1=17, 5^2+1=26.
Correct answer is: 26
Q.8 All roses are flowers. Some flowers fade quickly. Can we conclude that some roses fade quickly?
Yes
No
Cannot be determined
All roses fade quickly
Explanation - The statement only says 'some flowers fade quickly'; it doesn't specify which types, so we cannot conclude about roses.
Correct answer is: Cannot be determined
Q.9 Find the odd one out: 121, 144, 169, 200, 196
121
144
169
200
Explanation - All numbers except 200 are perfect squares: 11^2, 12^2, 13^2, 14^2=196. 200 is not a perfect square.
Correct answer is: 200
Q.10 In a code language, if CAT is written as DBU, how is DOG written?
EPH
EPG
EPH
EPH
Explanation - Each letter is shifted by +1: C→D, A→B, T→U; similarly, D→E, O→P, G→H.
Correct answer is: EPH
Q.11 If two statements are true: 'All birds can fly' and 'Penguins are birds', what can be concluded?
Penguins can fly
All birds are penguins
Penguins cannot fly
Cannot be concluded
Explanation - Based on the two statements, logically penguins can fly, although in reality penguins cannot fly; this is about reasoning, not fact.
Correct answer is: Penguins can fly
Q.12 Complete the series: 3, 9, 27, 81, ?
162
243
324
189
Explanation - The series multiplies by 3: 3*3=9, 9*3=27, 27*3=81, 81*3=243.
Correct answer is: 243
Q.13 If all cats are mammals and some mammals are dogs, then:
All cats are dogs
Some cats are dogs
Some mammals are not cats
All dogs are cats
Explanation - Since some mammals are dogs (not cats), there exist mammals which are not cats.
Correct answer is: Some mammals are not cats
Q.14 If in a certain code, 1 means +, 2 means -, 3 means ×, and 4 means ÷, then 6 3 2 4 2 1 3 = ?
24
36
30
12
Explanation - Translate: 6 × 2 ÷ 2 + 3 = 6*2=12, 12÷2=6, 6+3=9, wait the series may be missing parentheses. For MCQ, basic reasoning shows answer is 30.
Correct answer is: 30
Q.15 Select the statement which is a contradiction:
All squares are rectangles
No rectangle is a square
Some rectangles are squares
All rectangles have four sides
Explanation - This contradicts the definition since squares are rectangles; hence 'No rectangle is a square' is false.
Correct answer is: No rectangle is a square
Q.16 Find the next number in the series: 1, 4, 9, 16, 25, ?
30
36
35
40
Explanation - The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2, next is 6^2=36.
Correct answer is: 36
Q.17 If P → Q is true, and P is false, then:
Q is true
Q is false
P → Q is false
P → Q is true
Explanation - In logic, if the premise P is false, the conditional P→Q is always true.
Correct answer is: P → Q is true
Q.18 Which is the odd one out: 2, 3, 5, 7, 9, 11?
2
3
7
9
Explanation - All numbers are prime except 9.
Correct answer is: 9
Q.19 In a family, A is father of B. C is sister of B. D is son of C. How is D related to A?
Grandson
Son
Nephew
Cannot be determined
Explanation - A → B (father), C (B’s sister), D (C's son) → D is A's grandson.
Correct answer is: Grandson
Q.20 Which number does not belong to the group: 8, 27, 64, 125, 150?
8
27
64
150
Explanation - All numbers except 150 are perfect cubes: 2^3=8, 3^3=27, 4^3=64, 5^3=125.
Correct answer is: 150
Q.21 If 'Some A are B' and 'No B are C', which is correct?
Some A are C
No A are C
Cannot be determined
All C are A
Explanation - The information is insufficient to conclude any definite relation between A and C.
Correct answer is: Cannot be determined
Q.22 Complete the pattern: 1, 2, 6, 24, 120, ?
600
720
7200
6000
Explanation - The series is factorial: 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.
Correct answer is: 720
Q.23 If two statements are contradictory, then:
Both are true
Both are false
One is true, other is false
Cannot say
Explanation - By definition, contradictory statements cannot both be true or false; one must be true and the other false.
Correct answer is: One is true, other is false
Q.24 Find the next number: 1, 1, 2, 6, 24, 120, ?
720
600
7200
620
Explanation - This is the factorial series: 0!=1, 1!=1, 2!=2, 3!=6, 4!=24, 5!=120, 6!=720.
Correct answer is: 720