Staff Selection Commission Combined Graduate Level Exam
Question : In how many years will Rs. 2,000 yield Rs. 662 as a compound interest at 10% per annum compounded annually?
Option 1: 3
Option 2: 2
Option 3: 4
Option 4: 5
Correct Answer: 3
Solution : Rate, R = 10% Principal amount, P = Rs. 2,000 Compound interest, CI = Rs. 662 When compounded annually, Compound interest after n years = $P[(1+\frac{R}{100})^{n} –1)]$ ⇒ $662 = 2000[(1+\frac{10}{100})^{n} –1)]$ ⇒ $2662 = 2000(1+\frac{10}{100})^{n})$ ⇒ $1.331= (1.1)^{n}$ ⇒ $n = 3$ years Hence,
Question : Directions: In the following question, select the related number from the given alternatives. 4 : 12 :: 5 : ?
Option 1: 25
Option 2: 20
Option 3: 22
Option 4: 30
Correct Answer: 20
Solution : Given: 4 : 12 :: 5 : ?
Multiply the first number by its predecessor to obtain the second number in each pair. Like, 4 : 12→4 × (4 – 1) = 4 × 3 = 12 Similarly, follow the same pattern for 5 :
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Children listens to people / speaking around them / for a long time before / they begin to speak.
Option 1: Children listens to people
Option 2: speaking around them
Option 3: they begin to speak
Option 4: for a long time before
Correct Answer: Children listens to people
Solution : The correct choice is the first option.
The reason for the error is a subject-verb agreement issue. The verb listens does not agree with the plural subject children. The plural subject should be followed by a plural verb, i.e., listen,
Question : A table was bought for INR 3,000 and sold for INR 3,200. Find the gain or loss in terms of money.
Option 1: Gain INR 200
Option 2: Loss INR 200
Option 3: Gain INR 100
Option 4: Loss INR 150
Correct Answer: Gain INR 200
Solution : Given: A table was bought for INR 3,000 and sold for INR 3,200. It was sold for more money than it was bought. So, it is a profit or, money gained. Money gained = 3200 – 3000 = INR 200 Hence, the correct
Question : Rearrange the parts of the sentence in the correct order. Peer pressure P. when it comes to choosing the right Q. course and, therefore, career path R. and lack of guidance are some of S. the reasons for indecisiveness
Option 1: SPQR
Option 2: QSPR
Option 3: RSPQ
Option 4: PQRS
Correct Answer: RSPQ
Solution : The correct choice is the third option.
The sentence discusses reasons for indecision when choosing a career path. It points out that factors like peer pressure and a lack of guidance contribute to this indecisiveness.
Therefore, the sentence in the correct order is: Peer
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. This book (1) _ writing practice to pre-schoolers to help them learn to write (2) _ of the English alphabet. Directional arrows, (3) _ with the letters and numbers, guide children in writing. (4) _ and copying activities encourage children to read and write letters and numbers (5) _ to count.
Select the most appropriate option to fill in the blank no. 4.
Option 1: Traced
Option 2: Being traced
Option 3: Tracing
Option 4: Trace
Correct Answer: Tracing
It is the gerund form of the verb "trace". In the sentence, the gerund "tracing" serves as the object of the verb "encourage". The sentence is describing activities that encourage children to read and write letters and numbers.
Question : Three brothers divided Rs. 1620 among themselves so that the share of the second equals $\frac{5}{13}$th of the other two combined shares. What is the share of the second one?
Option 1: Rs. 1170
Option 2: Rs. 450
Option 3: Rs. 540
Option 4: Rs. 500
Correct Answer: Rs. 450
Solution : Let the shares of the three brothers be A, B, and C. The ratio of B's share to the combined shares of A and C = 5 : 13 So, B's share $=\frac{5}{5+13}\times 1620 = 450$ Hence, the correct answer is Rs. 450.
Question : If $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$, then the value of $\cos^{2}\theta$ is:
Option 1: $\frac{1}{4}$
Option 2: $\frac{\sqrt{3}}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{1}{2}$
Correct Answer: $\frac{3}{4}$
Solution : Given: $\sin(\theta+30^{\circ})=\frac{3}{\sqrt{12}}$ ⇒ $\sin(\theta+30^{\circ})=\frac{\sqrt{3}}{2}$ ⇒ $\sin(\theta+30^{\circ})=\sin(60^{\circ})$ ⇒ $\theta+30^{\circ}=60^{\circ}$ ⇒ $\theta=30^{\circ}$ Substituting $\theta=30^{\circ}$, we get, $\cos^{2}\theta=\cos^{2}(30^{\circ})=(\frac{\sqrt3}{2})^{2}=\frac{3}{4}$ Hence, the correct answer is $\frac{3}{4}$.
Question : Directions: In the given question, select the related letter from the given alternatives.
BJCI : JBIC :: CXDW : ?
Option 1: JCDU
Option 2: BCJU
Option 3: EVFU
Option 4: XCWD
Correct Answer: XCWD
Solution : Given:
Here, the letters have swapped their positions,
B ⇔ J ; C ⇔ I
Similarly, in the second pair,
C ⇔ X ; D ⇔ W
Therefore, the related letter cluster is XCWD
Hence, the fourth option
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
While addressing the assembly, the officer said, "It was a tit-for-tat action involving selected targeting, such actions do not last very long."
Option 1: 1
Option 3: 3
Option 4: 4
Explanation: When we use a noun like "targeting", it's common to use an adjective to modify and provide more specific information about the type or nature of the targeting. In this context, "selective" is the appropriate adjective,
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