Environmental Science & Engineering (ES) 2021

1

2021 · Unclassified

Environmental Science & Engineering (ES) 2021

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

A

9,92,500

B

9,95,006

C

10,00,000

D

12,51,506

2

2021 · Unclassified

Environmental Science & Engineering (ES) 2021

\(p\) and \(q\) are positive integers and \(\frac{p}{q} + \frac{q}{p} = 3\), then, \(\frac{p^2}{q^2} + \frac{q^2}{p^2} =\)

A

3

B

7

C

9

D

11

3

2021 · Unclassified

Environmental Science & Engineering (ES) 2021

The least number of squares that must be added so that the line P-Q becomes the line of symmetry is _____

A

4

B

3

C

6

D

7

4

2021 · Unclassified

Environmental Science & Engineering (ES) 2021

Nostalgia is to anticipation as _______ is to _______.
Which one of the following options maintains a similar logical relation in the above sentence?

A

Present, past

B

Future, past

C

Past, future

D

Future, present

5

2021 · Unclassified

Environmental Science & Engineering (ES) 2021

Consider the following sentences:
(i) I woke up from sleep.
(ii) I woked up from sleep.
(iii) I was woken up from sleep.
(iv) I was wokened up from sleep.
Which of the above sentences are grammatically CORRECT?

A

(i) and (ii)

B

(i) and (iii)

C

(ii) and (iii)

D

(i) and (iv)

6

2021 · Unclassified

Environmental Science & Engineering (ES) 2021

Given below are two statements and two conclusions.
Statement 1: All purple are green.
Statement 2: All black are green.
Conclusion I: Some black are purple.
Conclusion II: No black is purple.
Based on the above statements and conclusions, which one of the following options is logically CORRECT?

A

Only conclusion I is correct.

B

Only conclusion II is correct.

C

Either conclusion I or II is correct.

D

Both conclusion I and II are correct.