Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following question, a series is given with one or more alphabet missing. Choose the correct alternative from the given options. A, ?, I, O, ?
Option 1: D, T
Option 2: F, V
Option 3: E, U
Option 4: C, W
Correct Answer: E, U
Solution : Given: A, ?, I, O, ?
The vowels of the English alphabet are A, E, I, O, U.
So, E and U are the missing terms in the series. Hence, the third option is correct.
Question : Directions: A # B means A is the brother of B, A @ B means A is the wife of B, A & B means A is the daughter of B, A % B means A is the sister of B. If P % R & Y @ Z # M % N, then, how is M related to P?
Option 1: Paternal aunt
Option 2: Mother
Option 3: Paternal uncle
Option 4: Maternal aunt
Correct Answer: Paternal aunt
Solution : Given: A # B ⇒ A is the brother of B A @ B ⇒ A is the wife of B A & B ⇒ A is the daughter of B A % B ⇒ A is the sister of B
As per the
Question : $\sqrt{\frac{1+\sin\theta}{1-\sin\theta}}+\sqrt{\frac{1-\sin\theta}{1+\sin\theta}}$ is equal to:
Option 1: $2\cos\theta$
Option 2: $2\sin\theta$
Option 3: $2\cot\theta$
Option 4: $2\sec\theta$
Correct Answer: $2\sec\theta$
Solution : Given: $\sqrt{\frac{1+\sin\theta}{1-\sin\theta}}+\sqrt{\frac{1-\sin\theta}{1+\sin\theta}}$ = $\sqrt{\frac{(1+\sin\theta)(1+\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}}+\sqrt{\frac{(1-\sin\theta)(1-\sin\theta)}{(1+\sin\theta)(1-\sin\theta)}}$ = $\sqrt{\frac{(1+\sin\theta)(1+\sin\theta)}{(1-\sin^2\theta)}}+\sqrt{\frac{(1-\sin\theta)^2}{(1-\sin^2\theta)}}$ = $\sqrt{\frac{(1+\sin\theta)(1+\sin\theta)}{(cos^2\theta)}}+\sqrt{\frac{(1-\sin\theta)^2}{(cos^2\theta)}}$ = $\frac{(1+\sin\theta)}{\cos\theta}+\frac{(1-\sin\theta)}{\cos\theta}$ = $\frac{2}{\cos\theta}$ = $2 \sec\theta$ Hence, the correct answer is $2\sec\theta$.
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All flowers are trees. All leaves are flowers. Conclusions: I. All trees are flowers. II. All leaves are trees.
Option 1: Only Conclusion I follows
Option 2: Neither Conclusion I nor II follows
Option 3: Only Conclusion II follows
Option 4: Both Conclusions I and II follow
Correct Answer: Only Conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions – Conclusion I: All trees are flowers – From the Venn diagram, it is evident that some parts of the circle representing trees lie inside
Question : A boat travels 60 kilometres downstream and 20 kilometres upstream in 4 hours. The same boat travels 40 kilometres downstream and 40 kilometres upstream in 6 hours. What is the speed (in km/hr) of the stream?
Option 1: 24 km/hr
Option 2: 16 km/hr
Option 3: 18 km/hr
Option 4: 20 km/hr
Correct Answer: 16 km/hr
Solution : Time taken to travel 60 km downstream and 20 km upstream = 4 hours Time taken to travel 40 km downstream and 40 km upstream = 6 hours Let the speed of the boat in still water be $x$ km/hr and the speed of
Question : Identify the sentence that correctly uses the indefinite article.
Option 1: A taco is a traditional Mexican dish consisting of a tortilla topped with a filling.
Option 2: A taco is a traditional Mexican dish consisting of an tortilla topped with filling.
Option 3: An taco is a traditional Mexican dish consisting of tortilla topped with filling.
Option 4: A taco is traditional Mexican dish consisting of a tortilla topped with an filling.
Correct Answer: A taco is a traditional Mexican dish consisting of a tortilla topped with a filling.
Solution : The correct answer is the first option.
The sentence that correctly uses the indefinite article is: A taco is a traditional Mexican dish consisting of a tortilla topped with a filling.
Question : Though there is no single theory that can explain the origin of the south-west monsoon, it is believed that the main mechanism is the differential heating of land and sea during
Option 1: Winter months
Option 2: Summer months
Option 3: Cyclonic storms
Option 4: South-west trade wind flow
Correct Answer: Summer months
Solution : The correct answer is the Summer months.
The monsoon is a complex phenomenon. It is believed that due to differential heating of land and sea in the summer months in the Northern Hemisphere, monsoonal winds blow from the Indian Ocean towards India.
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".
It will take four hours to walk (across) the caves.
(1) over
(2) through
(3) between
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct choice is the second option.
The preposition across should be replaced with through which is the suitable preposition to be used in this context.
The meanings of the other options are as follows:
Question : The value of $\frac{\left(1 \frac{1}{9} × 1 \frac{1}{20} ÷ \frac{21}{38}-\frac{1}{3}\right) ÷\left(2 \frac{4}{9} ÷ 1 \frac{7}{15} \text { of } \frac{3}{5}\right)}{\frac{1}{5} \text { of } \frac{1}{5} ÷ \frac{1}{125}-\frac{1}{25} ÷ \frac{1}{5} \text { of } \frac{1}{5}}$ lies between ____.
Option 1: 0.1 and 0.15
Option 2: 0.2 and 0.25
Option 3: 0.15 and 0.2
Option 4: 0.25 and 0.3
Correct Answer: 0.15 and 0.2
Solution : Given: $\frac{\left(1 \frac{1}{9} × 1 \frac{1}{20} ÷ \frac{21}{38}-\frac{1}{3}\right) ÷\left(2 \frac{4}{9} ÷ 1 \frac{7}{15} \text { of } \frac{3}{5}\right)}{\frac{1}{5} \text { of } \frac{1}{5} ÷ \frac{1}{125}-\frac{1}{25} ÷ \frac{1}{5} \text { of } \frac{1}{5}}$ = $\frac{(\frac{10}{9} × \frac{21}{20}\div\frac{21}{38} – \frac{1}{3})\div(\frac{22}{9}\div(\frac{22}{15}\times\frac{3}{5}))}{(\frac{1}{5} \times \frac{1}{5}) ÷ \frac{1}{125}-\frac{1}{25} ÷
Question : The average weight of some students in a class was 60.5 kg. When 8 students, whose average weight was 65 kg, joined the class, then the average weight of all the students increased by 0.9 kg. The number of students in the class, initially, was:
Option 1: 37
Option 2: 42
Option 3: 32
Option 4: 40
Correct Answer: 32
Solution :
Let the total number of students be $x$. Average weight of $x$ students = 60.5 kg The sum of the weights of $x$ students = $60.5x$ kg The average weight of 8 students = 65 kg The sum of the weights of 8 students =
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