Staff Selection Commission Combined Graduate Level Exam
Question : At what rate percent per annum will a sum of INR 15, 625 amount to INR 21, 952 in three years, if the interest is compounded annually?
Option 1: 12%
Option 2: 8%
Option 3: 9%
Option 4: 10%
Correct Answer: 12%
Solution : Principal (P) = INR 15, 625 Time (T) = 3 years Amount (A) = INR 21, 952 Amount = $P(1 + \frac{R}{100})^T$ Let the rate of interest per annum be $R$. 21952 = 15625$(1 + \frac{R}{100})^3$ ⇒ $\frac{21952}{15625} = (1 + \frac{R}{100})^3$ ⇒ $\sqrt[3]{(\frac{21952}{15625})} =
Question : A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?
Option 1: 225 m
Option 2: 250 m
Option 3: 300 m
Option 4: 200 m
Correct Answer: 250 m
Solution : Given: Distance between the policeman and the thief = 300 m Speed of the policeman = 9 km//h = $9×\frac{5}{18}=\frac{5}{2}$ m/s Speed of the thief = 8 km//h = $8×\frac{5}{18}=\frac{20}{9}$ m/s Relative speed of the policeman and the thief = 9 – 8 =
Question : $\frac{\sin ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}=$?
Option 1: $\operatorname{cosec}\theta$
Option 2: $\sec\theta$
Option 3: $2\cos\theta$
Option 4: $2\sec\theta$
Correct Answer: $2\sec\theta$
Solution : $\frac{\sin ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{1-\cos ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{(1-\cos \theta)(1+\cos \theta)}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{1-\cos \theta}{\cos \theta}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{1-\cos \theta+1+\cos \theta}{\cos \theta}$ $=\frac{2}{\cos \theta}$ $=2\sec\theta$ Hence, the correct answer is $2\sec\theta$.
Question : If a + b = 5 and a – b = 3, then the value of (a2 + b2) is:
Option 1: 17
Option 2: 18
Option 3: 19
Option 4: 20
Correct Answer: 17
Solution : Given: a + b = 5 -----------------------(i) a – b = 3 ----------------------(ii) Add both equations (i) and (ii), ⇒ a + b + a – b = 5 + 3 ⇒ 2a = 8 ⇒ a = 4 From equation (i), ⇒ 4 +
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
The article suggests that when a person is under unusual stress you should be especially careful to eat a well-balanced diet.
(1) The article suggests that when a person is under unusual stress
(2) you should be especially careful
(3) to eat a well-balanced diet.
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second option.
To maintain consistency in the third-person perspective established in the rest of the sentence, it should be he should be especially careful instead of you should be especially careful as he is considered a gender-neutral pronoun.
Therefore,
Question : If, after giving a discount of 18%, a book is sold for Rs. 1,599, what will be the marked price (in Rs.) of the book?
Option 1: 1,800
Option 2: 1,880
Option 3: 1,950
Option 4: 2,000
Correct Answer: 1,950
Solution : Given: After giving a discount of 18%, a book is sold for Rs. 1,599. Let the Marked Price be 100 units. So, after an 18% discount the Selling Price = (100 – 18) = 82 units Here, 82 units are equivalent to Rs. 1,599. So,
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
A marketplace is always abuzz with activity. It is especially (1)___________a visit in the evenings. A (2)_________range of items are on display. (3) _________and getting a satisfactory (4) _________give the necessary sense of (5) ___________to the bored housewife and bring a smile (6) ________her face. People from all (7) _________of life, rich and poor, (8) _________shoulders with each other. From their busy (9). _________, here people find time to (10) __________a greeting with friends or neighbours.
Question: Select the most appropriate option to fill in the blank number 4.
Option 1: case
Option 2: pact
Option 3: deal
Option 4: contract
Correct Answer: deal
Solution : The correct choice is the third option.
In the context of a marketplace, the word deal is commonly associated with transactions and negotiations. When someone gets a satisfactory deal, it means they have successfully negotiated or obtained a favourable arrangement, contributing to a positive experience
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side of the figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Virginia Woolf's novels continue to receive rave ______.
Option 1: purviews
Option 2: feedback
Option 3: reviews
Option 4: previews
Correct Answer: reviews
Explanation: "Rave reviews" is a common phrase used to describe highly positive and enthusiastic assessments or critiques of something, in this case, Virginia Woolf's novels.
The meanings of the other options are as follows:
Purviews: It refers to
Question : Select the most appropriate meaning of the given idiom. Red tape
Option 1: Catch someone at the moment they are doing something wrong.
Option 2: Official rules and bureaucracy that make it difficult to do something.
Option 3: Have a negative amount in your bank balance.
Option 4: Something unimportant that takes attention away from the main subject.
Correct Answer: Official rules and bureaucracy that make it difficult to do something.
Solution : The second option is the correct answer.
The idiom, red tape refers to excessive bureaucratic procedures or formalities that can impede or delay progress, especially in official or administrative processes. The idiom red tape originated
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