Central Govt Exam Preparation — SSC, UPSC, Bank, Railway

Q.11 Easy

Series: 2, 4, 8, 16, __?

A 24

B 32

C 28

D 30

Correct Answer: B. 32

Explanation:

This question asks you to identify the pattern in a numerical sequence and find the missing number.

Step 1: Identify the Pattern

Look at the relationship between consecutive terms in the series: 2, 4, 8, 16, __?

\text{Each term} = \text{Previous term} \times 2

Step 2: Apply the Pattern to Find Missing Term

The last known term is 16, so multiply it by 2 to find the next term.

16 \times 2 = 32

Step 3: Verify the Pattern

Check that this pattern holds for all given terms: 2 × 2 = 4, 4 × 2 = 8, 8 × 2 = 16, 16 × 2 = 32 ✓

\text{This is a geometric sequence with common ratio } r = 2

The missing number in the series is 32, making the answer (B).

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Q.12 Easy

A is B sister, B is C brother. A is C's?

A Sister

B Cousin

C Mother

D Aunt

Correct Answer: A. Sister

Explanation:

This question tests logical reasoning by establishing family relationships through given statements.

Step 1: Analyze the first statement

A is B's sister means A and B are siblings with the same parents.

\text{A} = \text{B's sister}

Step 2: Analyze the second statement

B is C's brother means B and C are siblings with the same parents.

\text{B} = \text{C's brother}

Step 3: Determine A's relationship to C

Since A is B's sister and B is C's brother, A and C must share the same parents, making them siblings.

\text{If A is B's sister AND B is C's brother} \rightarrow \text{A is C's sister}

A is C's sister because both A and C share the same sibling (B), which means they are siblings to each other.

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Q.13 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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Q.14 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.15 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.16 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.17 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.18 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.19 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.20 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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