Staff Selection Commission Combined Graduate Level Exam
Question : Identify the segment in the sentence which contains a grammatical error. Zoya won the first prize in the race unless she stumbled and fell.
Option 1: unless she
Option 2: prize in the race
Option 3: Zoya won the first
Option 4: stumbled and fell
Correct Answer: unless she
Solution : The first option is correct.
Question : The ratio of the sum of the salaries of A and B to the difference between their salaries is 11 : 1, and the ratio of the sum of the salaries of B and C to the difference between their salaries is also 11 : 1. If A's salary is the highest and C's is the lowest, then what is B's salary (in Rs.) given that the total of all their salaries is Rs. 1,82,000?
Option 1: Rs. 72,000
Option 2: Rs. 60,000
Option 3: Rs. 50,000
Option 4: Rs. 86,400
Correct Answer: Rs. 60,000
Solution : Given: The salaries of A, B, and C are: $\frac{\text{A+B}}{\text{A–B}}=\frac{11}{1}$ And, $\frac{\text{B+C}}{\text{B–C}}=\frac{11}{1}$ Applying componendo and dividendo, we get: $\frac{\text{A}}{\text{B}}=\frac{12}{10}=\frac{6}{5}$ And, $\frac{\text{B}}{\text{C}}=\frac{12}{10}=\frac{6}{5}$ $\therefore$ A : B : C = 36 : 30 : 25 Let $\text{A = 36x; B = 30x; C = 25x}$. Given:
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 $\frac{3}{4}$.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
