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Showing 181–190 of 202 questions
Q.181 Easy
A is 2 yrs older than B who is twice C's age. C=10, A=?
A 20
B 22
C 24
D 18
Correct Answer:  B. 22
Explanation:

This question involves finding A's age using the given relationships between the ages of three people.

Step 1: Find B's age

We know C = 10 and B is twice C's age.

\[B = 2 \times C = 2 \times 10 = 20 \text{ years}\]
Step 2: Find A's age

We know A is 2 years older than B.

\[A = B + 2 = 20 + 2 = 22 \text{ years}\]
Step 3: Verify the relationships

Check: C = 10, B = 2 × 10 = 20, A = 20 + 2 = 22 ✓

\[\text{All conditions satisfied: B is twice C's age and A is 2 years older than B}\]

A's age is 22 years, making the correct answer B) 22.

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Q.182 Medium
Next letter: A, C, F, J, O, __?
A T
B U
C V
D W
Correct Answer:  B. U
Explanation:

This question tests your ability to identify the pattern in a sequence of letters.

Step 1: Identify the position of each letter in the alphabet

Convert each letter to its numerical position where A=1, B=2, C=3, and so on.

\[A=1, C=3, F=6, J=10, O=15, ?\]
Step 2: Find the pattern in the differences

Calculate the difference between consecutive numbers in the sequence.

\[\text{Differences: } 3-1=2, \quad 6-3=3, \quad 10-6=4, \quad 15-10=5\]
Step 3: Apply the pattern to find the next letter

The differences increase by 1 each time (2, 3, 4, 5...), so the next difference should be 6.

\[15 + 6 = 21, \quad \text{and the 21st letter is } U\]

The next letter in the sequence is U, making the correct answer (B).

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Q.183 Medium
Statement: Some pens are books. All books are tables. Conclusion: Some pens are tables.
A True
B False
C Uncertain
D Cannot say
Correct Answer:  A. True
Explanation:

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.

\[\text{Pens} \cap \text{Books} \neq \emptyset\]
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.

\[\text{Books} \subseteq \text{Tables}\]
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.

\[\text{If } x \in (\text{Pens} \cap \text{Books}) \text{ and } \text{Books} \subseteq \text{Tables, then } x \in \text{Tables}\]

**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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Q.184 Hard
Squares in a 3×3 grid?
A 9
B 14
C 16
D 12
Correct Answer:  B. 14
Explanation:

This question asks you to count all possible squares of different sizes that can be formed in a 3×3 grid.

Step 1: Count 1×1 squares

In a 3×3 grid, the smallest squares are individual cells.

\[1 \times 1 \text{ squares} = 3 \times 3 = 9\]
Step 2: Count 2×2 squares

Larger squares formed by combining four cells in a 2×2 pattern can fit in multiple positions.

\[2 \times 2 \text{ squares} = 2 \times 2 = 4\]
Step 3: Count 3×3 squares and find total

The largest possible square is the entire grid itself.

\[3 \times 3 \text{ squares} = 1 \times 1 = 1\]

Total squares = 1×1 squares + 2×2 squares + 3×3 squares

\[\text{Total} = 9 + 4 + 1 = 14\]

The total number of squares in a 3×3 grid is 14.

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Q.185 Medium
All roses are flowers. Some flowers fade. Therefore?
A All roses fade
B Some roses may fade
C No roses fade
D Roses never fade
Correct Answer:  B. Some roses may fade
Explanation:

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.

\[\text{Roses} \subset \text{Flowers} \quad \text{and} \quad \text{Some Flowers} \rightarrow \text{Fade}\]
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.

\[\text{Roses} \subset \text{Flowers} \quad \text{and} \quad \text{Some Flowers fade} \Rightarrow \text{Some roses MAY fade}\]
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

\[\text{Only (B) acknowledges the possibility without making an absolute claim}\]

**The correct answer is (B) Some roses may fade, because while

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Q.186 Medium
If BOOK=CPPL, DOOR=?
A EPPS
B EQPS
C EQOR
D FQPS
Correct Answer:  A. EPPS
Explanation:

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.

\[B \to C \text{ (shift +1)}, \quad O \to P \text{ (shift +1)}, \quad O \to P \text{ (shift +1)}, \quad K \to L \text{ (shift +1)}\]
Step 2: Apply the same rule to DOOR

Each letter in DOOR shifts forward by 1 position in the alphabet.

\[D \to E, \quad O \to P, \quad O \to P, \quad R \to S\]
Step 3: Write the transformed word

Combining all shifted letters in sequence.

\[\text{DOOR} = \text{EPPS}\]

The answer is (A) EPPS, as each letter in DOOR shifts forward by exactly one position in the alphabet.

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Q.187 Easy
A taller than B. B taller than C. C taller than D. Shortest?
A A
B B
C C
D D
Correct Answer:  D. D
Explanation:

This question tests the ability to arrange people in order based on comparative height statements.

Step 1: List all the given relationships

We have four people: A, B, C, and D with the following comparisons.

\[A > B > C > D\]
Step 2: Arrange from tallest to shortest

Ordering them in descending order of height based on the chain of inequalities.

\[\text{Tallest: } A, \text{ then } B, \text{ then } C, \text{ then } D \text{ (Shortest)}\]
Step 3: Identify the shortest person

The person at the end of the descending chain is the shortest.

\[D \text{ is the shortest person}\]

The shortest person is D, so the correct answer is (D).

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Q.188 Easy
Direction: Start North, turn right, turn right again. Facing?
A South
B East
C West
D North
Correct Answer:  A. South
Explanation:

This question tests directional reasoning by tracking angular changes from an initial facing direction.

Step 1: Identify starting position

You begin facing North.

\[\text{Initial Direction} = \text{North}\]
Step 2: Apply first right turn

Turning right (clockwise) from North rotates you 90° clockwise.

\[\text{After Turn 1} = \text{North} + 90° = \text{East}\]
Step 3: Apply second right turn

Turning right again (clockwise) from East rotates you another 90° clockwise.

\[\text{After Turn 2} = \text{East} + 90° = \text{South}\]

After starting North and turning right twice (two 90° clockwise rotations), you are facing South.

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Q.189 Easy
Find odd one out: Apple, Mango, Potato, Banana
A Apple
B Mango
C Potato
D Banana
Correct Answer:  C. Potato
Explanation:

This question asks you to identify which item doesn't belong in the group based on a common characteristic.

Step 1: Categorize by Type

All items need to be classified into food categories.

\[\text{Apple, Mango, Banana} \rightarrow \text{Fruits}\]
\[\text{Potato} \rightarrow \text{Vegetable}\]
Step 2: Identify the Common Property

Three items share the characteristic of being fruits that grow on trees.

\[\text{Fruits: grow on trees, sweet taste, seeds inside}\]
Step 3: Find the Odd One Out

Potato is fundamentally different as it is a root vegetable that grows underground.

\[\text{Potato: grows underground, starchy tuber, not a fruit}\]

Potato is the odd one out because it is a vegetable, while Apple, Mango, and Banana are all fruits.

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Q.190 Medium
Next in series: 3, 6, 11, 18, 27, __?
A 36
B 38
C 40
D 42
Correct Answer:  B. 38
Explanation:

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.

\[\text{This is an arithmetic sequence increasing by 2 each time}\]
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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