Staff Selection Commission Sub Inspector Exam
Question : In which of the following countries is the Kalahari Desert located?
Option 1: India
Option 2: Pakistan
Option 3: Botswana
Option 4: Kenya
Correct Answer: Botswana
Solution : The correct answer is Botswana.
The Kalahari Desert is the second-largest desert in Africa after the Sahara Desert. It encompasses a large portion of Botswana and sections of Namibia, and South Africa. It is the world's seventh-largest desert. It is formed because of the
Question : Find the fourth proportional to 0.48, 0.84, and 32.
Option 1: 65
Option 2: 34
Option 3: 56
Option 4: 43
Correct Answer: 56
Solution : Let the fourth proportion be $d$. $0.48: 0.84=32: d$ ⇒ $\frac{0.48}{0.84}=\frac{32}{d}$ ⇒ $\frac{4}{7}=\frac{32}{d}$ ⇒ $d=7\times8$ $\therefore d=56$ Hence, the correct answer is 56.
Question : The value of $\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$ is:
Option 1: $2$
Option 2: $0$
Option 3: $\frac{\sqrt{3}}{2}$
Option 4: $1$
Correct Answer: $2$
Solution : Given expression, $\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$ We know, $\tan\theta=\frac{\sin\theta}{\cos\theta}$ = $(2\cos^2\theta-(\sin^2\theta+\cos^2\theta))\left[\frac{1+\frac{\sin\theta}{\cos\theta}}{1-\frac{\sin\theta}{\cos\theta}}+\frac{1-\frac{\sin\theta}{\cos\theta}}{1+\frac{\sin\theta}{\cos\theta}}\right]$ = $(2\cos^2\theta-\sin^2\theta-\cos^2\theta))\left[\frac{\cos\theta+\sin\theta}{\cos\theta-\sin\theta}+\frac{\cos\theta-\sin\theta}{\cos\theta+\sin\theta}\right]$ = $(\cos^2\theta-\sin^2\theta)\left[\frac{(\cos\theta+\sin\theta)^2+(\cos\theta-\sin\theta)^2}{(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)}\right]$ = $(\cos^2\theta-\sin^2\theta)\left[\frac{\cos^2\theta+\sin^2\theta+2\sin\theta\cos\theta+\cos^2\theta+\sin^2\theta-2\sin\theta\cos\theta}{\cos^2\theta-\sin^2\theta}\right]$ = $1+1$ [As $\cos^2\theta+\sin^2\theta=1$] = $2$ Hence, the correct answer is $2$.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
Reyansh (gave) most of his time to music.
(1) devoted
(2) spent
(3) lent
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
Devoted implies a strong commitment or dedication to something. In the context of the sentence, it suggests that Reyansh is committed to spending a significant amount of time on music.
The meanings of the other options are as
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 98, 126, 165, 216, 280, ?
Option 1: 344
Option 2: 358
Option 3: 356
Option 4: 348
Correct Answer: 358
Solution : Given: 98, 126, 165, 216, 280, ?
The pattern is as follows –
So, 358 is the required missing term in the series. Hence, the second option is correct.
Question : Directions: If + means –, – means ÷, ÷ means × and × means +, then what will come in place of the (?) in the following equation? 15 × 30 + 15 – 3 ÷ 2 = ?
Option 1: 15
Option 2: 30
Option 3: 35
Option 4: 40
Correct Answer: 35
Solution : Given: + means –, – means ÷, ÷ means × and × means + 15 × 30 + 15 – 3 ÷ 2 = ?
After replacing the symbols according to the question, the equation becomes – = 15 + 30 – 15 ÷ 3
Question : Identify the segment in the sentence which contains a grammatical error. If there is no error, then select the option 'No error'. All of us were a little nervous when we came into this room today
Option 1: when we came into this room today
Option 2: a little nervous when
Option 3: All of us were
Option 4: No error
Correct Answer: No error
Solution : The correct choice is the fourth option.
Explanation: The sentence is grammatically correct. It describes a past event where a group of people entered a room and felt a bit nervous. The tense usage is appropriate, with "were" indicating the past state of feeling
Question : Directions: In a certain code MONKEY is XDJMNL. How is TIGER written as?
Option 1: QDFHS
Option 2: SDFHS
Option 3: SHFDQ
Option 4: UJHFS
Correct Answer: QDFHS
Solution : Given: MONKEY is XDJMNL.
Subtract 1 from the positional value of each letter according to the given pattern –
Thus, MONKEY is coded as XDJMNL. Similarly, follow the same pattern for TIGER –
So, TIGER is coded as QDFHS. Hence, the first option is correct.
Question : Choose the correct meaning of the underlined idiom in the given sentence.
Saira is unable to sustain friendships because she always has too many axes to grind.
Option 1: To work for others
Option 2: To have one's own interests to serve
Option 3: To use weapons carefully
Option 4: To believe in selflessness
Correct Answer: To have one's own interests to serve
Solution : The correct choice is the second option.
The idiom "too many axes to grind" means to do something for selfish reasons.
This is correctly given in the second option, which states "to have one's interests to serve".
Question : In which year did the first SAARC summit take place?
Option 1: 1985
Option 2: 1992
Option 3: 1972
Option 4: 1990
Correct Answer: 1985
Solution : The correct answer is 1985
SAARC's inaugural summit took place in Dhaka, Bangladesh, on December 7–8, 1985. Bangladesh, the Maldives, Pakistan, Sri Lanka, Bhutan, Nepal, and India were among those present. The South Asian Association for Regional Cooperation (SAARC) came into being on December 8,
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