RRB NTPC CBT 2 Level 5 June-12-2022 Shift 1 Exam Previous Question Paper with Solutions

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61) The first railway line in India was laid in the year 1853 from Bombay to______

A) Thane
B) Nagpur
C) Pune
D) Nasik

View Answer

A) Thane

62) Which of the following economic activities falls under the primary sector?

A) Mining
B) Education
C) Banking
D) Manufacturing

View Answer

A) Mining

63) Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All men are robots.
All robots are machines.
Conclusions:
I. All machines are men.
II. Some robots are men.

A) Only conclusion I follows
B) Neither conclusion I nor II follows
C) Both conclusions I and II follow
D) Only conclusion II follows

View Answer

D) Only conclusion II follows

Explanation:Let’s analyze the statements and conclusions carefully using logical reasoning.
—
Given Statements:
⇒1. All men are robots →
(Every man is a robot)
⇒2. All robots are machines →
(Every robot is a machine)
From these two, we can deduce:
> All men are robots, and all robots are machines, so
> All men are machines (by transitive logic)
—
Conclusion I: All machines are men
This is not necessarily true.
We’re told all men are machines, but that does not mean all machines are men.
❌ Conclusion I does not follow
—
Conclusion II: Some robots are men
From Statement 1: All men are robots → So, men are a subset of robots
✅ Therefore, some robots are definitely men (at least those who are men)
✓ Conclusion II logically follows
—
✅ Final Answer: Option 4: Only conclusion II follows

64) With reference to the Green Revolution in India, what is the full form of HYVP?

A) High-Yielding Varieties Programme
B) High-Yielding Varieties Plants
C) High-Yielding Varieties Pattern
D) High-Yielding Varieties Patent

View Answer

A) High-Yielding Varieties Programme

65) The sum of two numbers is 17 while the sum of their squares is 157. Find the sum of the cubes of those two numbers.

A) 3791
B) 3094
C) 1491
D) 1547

View Answer

D) 1547

Explanation:We are given:
* a + b = 17
* $a^2 + b^2 = 157$
We are to find:
$a^3 + b^3$
—
Use identity:
$a^3 + b^3 = (a + b)^3 - 3ab(a + b)$
We already know:
* a + b = 17
* So, $(a + b)^3 = 17^3 = 4913$
—
Step 1: Find $ab$
We use:
$a^2 + b^2 = (a + b)^2 - 2ab$
$157 = 17^2 - 2ab$ = 289 – 2ab
⇒ 2ab = 289 – 157 = 132
⇒ ab = 66
—
Step 2: Plug into identity
$a^3 + b^3 = 4913 - 3 \cdot 66 \cdot 17 = 4913 - 3366 = \boxed{1547}$
—
✅ Final Answer: Option 4: 1547 ✅
Need a cheat sheet for cube identities like this?