Staff Selection Commission Combined Graduate Level Exam
Question : Two candidates contested an election. One of them got 64% of the votes and won by 434 votes. What was the total number of votes polled?
Option 1: 1550
Option 2: 1345
Option 3: 1680
Option 4: 1684
Correct Answer: 1550
Solution : Given: The candidate got 64% of the total votes. Let the total number of votes be $x$. ⇒ Votes received by winner = 64% of $x=\frac{64x}{100}$ According to the question, $\frac{64x}{100}−(x−\frac{64x}{100})=434$ ⇒ $\frac{64x}{100}−\frac{36x}{100}=434$ ⇒ $\frac{28x}{100}=434$ $\therefore x=1550$ Hence, the correct answer is 1550.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The old car thumped along over the stony road.
(1) creaked
(2) crawled
(3) chugged
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
"Chugged" is a more appropriate word for describing the uneven and laborious movement of an old car, implying slow and steady but somewhat noisy progress.
The meanings of the other options are as follows:
Question : The length of the sides of a triangle is $a, b,$ and $c$ respectively if $a^2 + b^2 + c^ 2 = ab + bc + ca$, then the triangle is:
Option 1: Isosceles
Option 2: Equilateral
Option 3: Scalene
Option 4: Right-angled
Correct Answer: Equilateral
Solution : Given: $a^2 + b^2 + c^2 = ab + bc + ca$ Multiplying both sides by 2, $⇒2(a^2 + b^2 + c^2) = 2(ab + bc + ca)$ $⇒a^2 - 2ab + b^2 + b^2 - 2bc + c^2 + c^2 - 2ca + a^2
Question : 'Shadow Cabinet' is the feature of Administrative system of:
Option 1: Britain
Option 2: USA
Option 3: France
Option 4: Japan
Correct Answer: Britain
Solution : The correct answer is Britain.
Shadow Cabinet is a parliamentary feature of Britain. In this system the opposition party also forms a cabinet and are assigned portfolios to monitor the functioning of the ruling government. It increases the accountability of the ruling party and makes
Question : In $\triangle$LMN, LM = $5\sqrt{2}$ cm, LN = 13 cm and $\angle$LMN=135$^{\circ}$. What is the length (in cm) of MN?
Option 1: $7$
Option 2: $8$
Option 3: $8\sqrt{2}$
Option 4: $7\sqrt{2}$
Correct Answer: $7$
Solution : Use: cos 135º = $\frac{b^{2} + c^{2} - a^{2}}{2bc}$ where $b$ and $c$ are the sides of angle whereas $a$ is the side opposite to the angle. According to the question $a$ = 13 cm, $b$ = $5\sqrt{2}$ cm and let $c$ = $x$ cm
Question : Select the correct spelling of the underlined word from the following options. He deceaved the fraternity with the news of his unparalleled accomplishment to accommodate himself in the academic field.
Option 1: decieved
Option 2: desieved
Option 3: deseived
Option 4: deceived
Correct Answer: deceived
Solution : The right option is the fourth option.
The correct spelling of the underlined word is deceived, which refers to intentionally causing someone to believe something that is not true, typically in order to gain an advantage or to trick them.
Question : A rice trader buys 16 quintals of rice for INR 5,632. 20% of rice is lost in transportation. At what rate should he sell to earn a 25% profit?
Option 1: INR 225.2 per quintal
Option 2: INR 550 per quintal
Option 3: INR 440 per quintal
Option 4: INR 563.2 per quintal
Correct Answer: INR 550 per quintal
Solution : The cost price of 16 quintals of rice = INR 5,632 Total Profit = 25% of cost price = $\frac{25}{100} × 5632$ = INR 1408 Total selling price = cost price + total profit = INR 5,632 + INR 1,408 = INR
Question : Directions: In a certain code language, BREAK is written as 2182111, and COLOUR is written as 34124518. How will TRING be written in that language?
Option 1: 20181347
Option 2: 20189147
Option 3: 20183147
Option 4: 20183174
Correct Answer: 20183147
Solution : Given: BREAK is written as 2182111, and COLOUR is written as 34124518.
First, write the place values of consonants present in the word BREAK and COLOUR as they appear in the English alphabetical series, and positions of vowels are written as (A→1, E→2, I→3, O→4,
Question : Identify the incorrect statement in the context of Microfinance Institutions in India.
Option 1: A microfinance loan is given to a household having an annual household income of up to 3,00,000.
Option 2: A microfinance loan is a collateral-free loan.
Option 3: When giving a microloan, a household means an individual family unit, i.e., husband, wife, and their unmarried children.
Option 4: A microfinance loan should be linked with a lien on the deposit account of the borrower.
Correct Answer: A microfinance loan should be linked with a lien on the deposit account of the borrower.
Solution : The correct option is A microfinance loan should be linked with a lien on the deposit account of the borrower.
Whether or not a microfinance loan is linked with a
Question : A man, a boy, and a woman can finish work in 10 days, 15 days, and 30 days, respectively. In how many days can the work be finished by a man, a woman, and a boy when all of them work together?
Option 1: 10
Option 2: 5
Option 3: 8
Option 4: 6
Correct Answer: 5
Solution : The work done by man in 1 days = $\frac{1}{10}$ The work done by boy in 1 days = $\frac{1}{15}$ The work done by women in 1 days = $\frac{1}{30}$ The total work done by a man, a woman, and a boy in days =
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