Staff Selection Commission Sub Inspector Exam
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
I had (1) / a test in Mathematics (2) / today morning. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The preposition on should be used in place of in in the sentence. The choice of the preposition ("in" or "on") depends on the context and the specific emphasis. If one wants to emphasise that
Question : Select the most appropriate word which means the same as the group of words given.
Two lengths of rope, bamboo or wood with rungs used for climbing up and down walls, sides of ships etc.
Option 1: staircase
Option 2: steps
Option 3: bridge
Option 4: ladder
Correct Answer: ladder
Solution : The correct choice is the fourth option.
The ladder is the appropriate one-word, as it typically consists of two vertical side pieces (the lengths of rope, bamboo, or wood) and horizontal rungs that connect the sides, forming steps for climbing. Ladders are commonly used
Question : The festival of Sekrenyi is celebrated in February by the Angami tribe of:
Option 1: Maharashtra
Option 2: Rajasthan
Option 3: Chhattisgarh
Option 4: Nagaland
Correct Answer: Nagaland
Solution : The correct option is Nagaland.
The festival of Sekrenyi is celebrated by the Angami Naga tribe in the state of Nagaland, India. The Angami tribe is one of the major Naga tribes, and Sekrenyi is an important festival for them. The festival usually takes
Question : If the product of three consecutive numbers is 210, then the sum of the 2 smaller numbers is:
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 11
Correct Answer: 11
Solution : Given: Product of three consecutive numbers = 210 Prime factors of 210 = 2 × 3 × 5 × 7 = 5 × 6 × 7 So, 5, 6 and 7 are the three consecutive numbers. Sum of the smaller 2 numbers = 5 +
Question : Which of the following ports in India has been renamed as Deendayal Port?
Option 1: Mormugao
Option 2: Tuticorin
Option 3: Cochin
Option 4: Kandla
Correct Answer: Kandla
Solution : The correct option is Kandla.
The Kandla Port in India is the port that was renamed as Deendayal Port. On September 25, 2017, it was renamed Deendayal Port in honour of Pandit Deendayal Upadhyaya, a well-known economist, political philosopher and Bharatiya Jana Sangh leader.
Question : In an election between two candidates, 85% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6,936 votes which was 85% of the valid votes. Find the total number of voters enrolled in that election.
Option 1: 10,500
Option 2: 10,800
Option 3: 10,000
Option 4: 10,700
Correct Answer: 10,000
Solution : Let the number of voters enrolled be $x$. Given votes = 85% of $x$ = $\frac{17x}{20}$ Valid votes = 100 – 4 = 96% of $\frac{17x}{20}$ = $\frac{24}{25}×\frac{17x}{20}=\frac{102x}{125}$ The winner gets 85% of valid votes. So, 85% of $\frac{102x}{125}=6936$ $⇒\frac{17}{20}×\frac{102x}{125}=6936$ $\therefore x =10000$ Hence, the
Question : Simplify the following. $9 \times 2 \div 3\ \text{of} \ 24 - 3 \div 2 \times (6 - 7) \times 2 + 3 \div 3\ \text{of}\ 5$
Option 2: $\frac{9}{20}$
Option 3: 4
Option 4: $\frac{69}{20}$
Correct Answer: $\frac{69}{20}$
Solution : $9 \times 2 \div 3\ \text{of} \ 24- 3 \div 2 \times (6 - 7) \times 2 + 3 \div 3\ \text{of}\ 5$ $=9 \times 2 \div 3\ \text{of} \ 24 - 3 \div 2 \times- 1 \times 2 + 3 \div 3\ \text{of}\ 5$
Question : If $ax^{2}+bx+c=a(x-p)^{2}$, then the relation among $a, b ,$ and $c$ would be:
Option 1: $abc=1$
Option 2: $b^{2}=ac$
Option 3: $b^{2}=4ac$
Option 4: $2b=a+c$
Correct Answer: $b^{2}=4ac$
Solution : $ax^{2}+bx+c=a(x-p)^{2}$ ⇒ $ax^{2}+bx+c=a(x^{2}-2px+p^{2})$ ⇒ $ax^{2}+bx+c=ax^{2}-2apx+ap^{2}$ Comparing the corresponding coefficients, we get, $ b = -2ap$-----------(i) $ c = ap^2$---------------(ii) Squaring equation (i), we have, ⇒ $ b^2 = 4a^2p^2 $ ⇒ $ p^2 = \frac{b^2}{4a^2}$-------------(iii) Substituting (iii) in (ii), we get, ⇒ $ c =
Question : Directions: In the given question, select the related word/letter from the given alternatives. Hive : Bee :: Eyrie : ?
Option 1: Parrot
Option 2: Pigeon
Option 3: Eagle
Option 4: Sparrow
Correct Answer: Eagle
Solution : Given: Hive : Bee :: Eyrie : ?
Like, Hive is a structure made for bees. Similarly, Eyrie is a nest made for eagles.
Hence, the third option is correct.
Question : An inlet pipe can fill an empty tank in 3.6 hours, while an outlet pipe can drain a completely filled tank in 6.3 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get completely filled?
Option 1: 9
Option 2: 8.4
Option 3: 8.1
Option 4: 8.7
Correct Answer: 8.4
Solution : The rate at which the inlet pipe can fill the tank is 1 tank per 3.6 hours, or $\frac{1}{3.6}$ tanks per hour. The rate at which the outlet pipe can drain the tank is 1 tank per 6.3 hours, or $\frac{1}{6.3}$ tanks per hour. When
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