Staff Selection Commission Combined Graduate Level Exam
Question : Direction: In each of the following questions, some equations are solved based on a certain system. Find out the correct answer for the unsolved equation on that basis.
If 7 × 8 = 49, 4 × 4 = 12 and 6 × 4 = 18, what will 9 × 6 be?
Option 1: 54
Option 2: 50
Option 3: 45
Option 4: None of the above
Correct Answer: 45
Solution : Given:
7 × 8 = 49 ⇒ 7 × ( 8 – 1 ) = 49
4 × 4 = 12 ⇒ 4 × ( 4 – 1 ) = 12
6 × 4 = 18 ⇒ 6 × ( 4 – 1 ) =
Question : The world’s longest river, the Nile, flows through which of the following continents?
Option 1: Africa
Option 2: North America
Option 3: South America
Option 4: Europe
Correct Answer: Africa
Solution : The correct option is Africa.
The Nile River flows through the continent of Africa. It is often considered the longest river in the world, with its primary sources in East Africa and a drainage basin that covers multiple countries, including Burundi, Congo-Kinshasa, Egypt, Eritrea,
Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
These shoes are cheap as well durable.
Option 1: more cheaper than durable
Option 2: both cheap and durable
Option 3: No improvement required
Option 4: neither cheaper nor durable
Correct Answer: both cheap and durable
Solution : The correct choice is the second option.
The phrase cheap as well as durable should be replaced with both cheap and durable to make the sentence grammatically accurate. Both....and are correlative conjunctions, which help convey that the shoes have two qualities
Question : From which Latin word is the s-block element calcium derived?
Option 1: Calx
Option 2: Calum
Option 3: Coleus
Option 4: Calcio
Correct Answer: Calx
Solution : The correct answer is Calx.
The name "calcium" is derived from the Latin word "calx," which means "lime." This is because calcium compounds, such as calcium oxide (quicklime) and calcium carbonate (limestone), have been known and used by humans for thousands of years.
Question : If a stall sells a pizza at Rs. 200, he makes a 20% loss. If he wants to make a 10% profit, then at what price (in Rs.) should he sell?
Option 1: 250
Option 2: 300
Option 3: 275
Option 4: 325
Correct Answer: 275
Solution : Selling price = Rs. 200 Loss = 20% of cost price Selling price = cost price – loss = cost price – 20% of cost price ⇒ Rs. 200 = 80% of cost price ⇒ Cost price = Rs. 250 Profit = 10% ⇒ Selling
Question : The length, breadth, and height of a room are 10 m, 8 m, and 6 m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of 7.50 per m2.
Option 1: Rs. 2220
Option 2: Rs. 1850
Option 3: Rs. 2150
Option 4: Rs. 2000
Correct Answer: Rs. 2220
Solution : The length, breadth, and height of a room are 10 m, 8 m, and 6 m, respectively. Required Area = Curved Surface Area + Area of Ceiling ⇒ Required Area = [ 2h(l + b) ] + [ l × b ], where h
Question : Directions: Shown below is a multiple bar diagram depicting the changes in the roll strength of a college in four faculties from 2001–02 to 2003–04. Study the above bar diagram and answer the question.
Arts
Science
Law
Commerce
Percentage of increase in Science students in 2003-04 over 2001-02 is:
Option 1: 75%
Option 2: 50%
Option 3: 150%
Option 4: %
Correct Answer: 50%
Solution : $\text{We have,}$
$\text{Number of students in Science in 2001 - 2002 = 400}$
$\text{Number of students in Science in 2003 - 2004 = 600}$
$$\text{Percentage Change =}\frac{\text{ Number of students in Science in 2003 - 2004 - Number of students in Science in 2001 -
Question : Directions: Select the option that represents the letters that, when placed from left to right in the following blanks, will complete the letter series. FGH_Y_G_U UYF_H_YFG_W_
Option 1: UFHGVIY
Option 2: TGHGVHY
Option 3: TFHGVHY
Option 4: UGHGVHY
Correct Answer: TFHGVHY
Solution : Given: FGH_Y_G_U UYF_H_YFG_W_
To complete the series, divide the series – FGH_Y / _G_UY / F_H_Y / FG_W_
Let's check each option – First option: UFHGVIY; FGHUY / FGHUY / FGHVY / FGIWY
Question : If $\left(x-\frac{1}{x}\right)^2=12$, what is the value of $\left(x^2-\frac{1}{x^2}\right)$, given that $x>0$?
Option 1: $6 \sqrt{2}$
Option 2: $8 \sqrt{3}$
Option 3: $6 \sqrt{3}$
Option 4: $8 \sqrt{2}$
Correct Answer: $8 \sqrt{3}$
Solution : Given, $\left(x-\frac{1}{x}\right)^2=12$ ⇒ $x^2+\frac{1}{x^2}=12+2$ ⇒ $x^2+\frac{1}{x^2}+2=12+2+2$ ⇒ $x^2+\frac{1}{x^2}+2(x)(\frac{1}{x})=12+2+2$ ⇒ $(x+\frac{1}{x})^2=16$ ⇒ $(x+\frac{1}{x})=4$ And, $\left(x-\frac{1}{x}\right)=2\sqrt3$ Now,$\left(x^2-\frac{1}{x^2}\right)$ = $(x-\frac{1}{x})(x+\frac{1}{x})$ = $4\times2\sqrt3$ = $8\sqrt3$ Hence, the correct answer is $8\sqrt3$.
Question : Lok Sabha Secretariat comes under the direct control of
Option 1: Ministry of Home Affairs
Option 2: Ministry of Parliamentary Affairs
Option 3: Speaker of Lok Sabha
Option 4: President
Correct Answer: Speaker of Lok Sabha
Solution : The correct answer is Speaker of Lok Sabha.
The Lok Sabha Secretariat, which is overseen by the Lok Sabha Secretary, is directly under the control of the Lok Sabha Speaker. Only the Speaker of the Lok Sabha is subject to administrative oversight
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