Phrases Previous Year Questions (PYQs) – 2024 – Page 1 of 12

Task: Find two pairs of bits that can be joined to form words with opposite meanings.

Step 1: Join possible bit pairs to form real words

• EXP + AND = EXPAND
• RED + UCE = REDUCE

Step 2: Identify opposite meanings

EXPAND means to enlarge or increase.
REDUCE means to shrink or decrease.

Hence, these are antonyms.

✅ Final Answer:

• Pair 1: (5) EXP + (7) AND → EXPAND
• Pair 2: (9) RED + (2)

Statements Given:

• Rajesh will not go to the concert if Rakesh goes.
• Rakesh will go to the concert if his dog barks three times.

Logical Interpretation:

• If Rakesh goes → Rajesh will not go
• If Dog barks 3 times → Rakesh will go

Deduction:

If the dog barks three times, then Rakesh goes. And if Rakesh goes, Rajesh will not go.

✅ Final Answer: If the dog barks three times, Rajesh will not go to the concert.

Options:

• Years of experience
• Salary
• Highest education
• Age

Analysis:

• Years of experience, Salary, and Age are quantitative and dynamic — they change over time.
• Highest education is a qualitative and mostly static achievement — it rarely changes once completed.

✅ Odd One Out: Highest education

Reason: It is the only fixed qualification, while others vary over time.

Logical Puzzle: Cat Climbing a Pole

Problem:

A cat climbs a 21-meter pole. Every minute it climbs 3 meters but slips down 1 meter the next minute. How long will it take to reach the top?

Step-by-Step Analysis:

• Every 2 minutes, net climb = 3 - 1 = 2 meters
• In 20 minutes, the cat climbs 10 × 2 = 20 meters
• At the start of the 21st minute, the cat climbs 3 meters and reaches the top (21 meters) before it can slip.

✅ Final Answer: The cat will reach the top in 21 minutes.

Given: Foci are (4, 3) and (12, 5), and the ellipse passes through the origin (0, 0).

Step 1: Use ellipse definition

$PF_1 = \sqrt{(0 - 4)^2 + (0 - 3)^2} 

= \sqrt{25} 

= 5$

$PF_2 = \sqrt{(0 - 12)^2 + (0 - 5)^2} 

= \sqrt{169} 

= 13$

Total distance = $5+13=18\Rightarrow 2a=18\Rightarrow a=9$

Step 2: Distance between the foci

$2c=\sqrt{(12-4{)}^2+(5-3{)}^2}=\sqrt{64+4}=\sqrt{68}\Rightarrow c=\sqrt{17}$

Step 3: Find eccentricity

$e={\displaystyle \frac{c}{a}}={\displaystyle \frac{\sqrt{17}}{9}}$

✅ Final Answer: $\boxed{{\displaystyle {\displaystyle \frac{\sqrt{17}}{9}}}}$