Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, identify the correct response from the given premises stated according to the following symbols. In a certain code language, + represents ×, – represents +, × represents ÷ and ÷ represents –. What is the answer to the following equation? 80 × 16 ÷ 4 + 2 – 8 = ?
Option 1: 11
Option 2: 64
Option 3: 30
Option 4: 5
Correct Answer: 5
Solution : Given: 80 × 16 ÷ 4 + 2 – 8 = ?
On replacing the symbols as per the instruction, the equation becomes – = 80 ÷ 16 – 4 × 2 + 8 = 5 – 4 × 2 + 8 = 5 –
Question : If $x^2-\sqrt{7} x+1=0$, then what is the value of $x^5+\frac{1}{x^5} ?$
Option 1: $19 \sqrt{7}$
Option 2: $21 \sqrt{7}$
Option 3: $25 \sqrt{7}$
Option 4: $27 \sqrt{7}$
Correct Answer: $19 \sqrt{7}$
Solution : Given: $x^2-\sqrt{7} x+1=0$ Dividing by $x$, we get: ⇒ $x+\frac{1}{x}=\sqrt{7}$ Now, Squaring both sides, we get: ⇒ $(x+\frac{1}{x})^2=(\sqrt{7})^2$ ⇒ $x^2+\frac{1}{x^2}+2=7$ ⇒ $x^2+\frac{1}{x^2}=5$ Similarly, Cubing both sides, we get: ⇒ $(x+\frac{1}{x})^3=(\sqrt{7})^3$ ⇒ $x^3+\frac{1}{x^3}+3(x\times\frac{1}{x})(x+\frac{1}{x})=7\sqrt7$ ⇒ $x^3+\frac{1}{x^3}+3\sqrt 7=7\sqrt7$ ⇒ $x^3+\frac{1}{x^3}=4\sqrt7$ Now, $x^5+\frac{1}{x^5}=(x^3+\frac{1}{x^3})\times(x^2+\frac{1}{x^2})-(x+\frac{1}{x})$ = $4\sqrt7\times5-\sqrt7$ = $20\sqrt7-\sqrt7$ =
Question : Comprehension:
In the given 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.
Gabriella Montez was comfortably curled up in an overstuffed chair in the sitting area. She (1) _________ the peace and quiet at home - everyone else was (2) ________ at the party - and had totally lost (3) __________ in a book which was the best she had (4)_________ read and she couldn’t wait to get (5) _______the end. However, before she set her eyes (6) ________ the next page, the book was (7) ________right out of her hands, and she (8) __________ at her mother standing over her. “Gabby, it’s New Year’s Eve,” she said. “(9) __________ reading!” she snapped at her daughter. “But, mum, I’m almost done,” Gabriella (10) __________.
Question:
Select the most appropriate option to fill in blank No.10
Option 1: prohibited
Option 2: prevented
Option 3: prescribed
Option 4: protested
Correct Answer: protested
Solution : The fourth option is correct.
Let's look at the meaning of the given words:
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. The effects of plastic bags on the environment are really (1)______ devastating because there is no disposal method that will really help eliminate the problem. The biggest problem with them is that once they have been (2)______, they end up in the trash, which then ends up in the landfill or is burned. The indefinite period of time that it takes for the average plastic bag to break (3)______ can be literally hundreds of years. Throughout the world, plastic bags are responsible for the suffocation and deaths of woodland animals, as well as (4)______ soil nutrients. The land litter that is made up of plastic bags has the potential to kill over and over again. It has been estimated that one bag has the potential to inadvertently kill one animal per every three months due to unintentional digestion or inhalation. There are always alternatives to plastic bags, and the search for more alternatives continues. Question: Select the most appropriate option to fill in the blank number 4.
Option 1: accumulating
Option 2: inhibiting
Option 3: demanding
Option 4: converting
Correct Answer: inhibiting
Solution : The second option is the correct choice.
Inhibiting means restraining or preventing. In this context, plastic bags are described as having negative effects on soil nutrients, implying that they restrict or hinder the health of the soil.
The meanings of the other options are as
Question : Direction: In this question, some equations are solved on the basis of a certain system. On the same basis find out the correct answer from amongst the four alternatives for the unsolved equation.
7 x 5 x 6 = 576
4 x 2 x 5 = 245
8 x 2 x 5 = ?
Option 1: 258
Option 2: 285
Option 3: 582
Option 4: 852
Correct Answer: 285
Solution : Here, the given equations follows a pattern in which the first number and the middle number in LHS becomes the tens place digit and the hundreds place digit in the answer part in RHS respectively.
⇒ 7 x 5 x 6 = 576
⇒ 4
Question : Who built Shantiniketan?
Option 1: Guru Ramdas
Option 2: Maharaja Pratap Singh
Option 3: Rabindranath Tagore
Option 4: British Govt.
Correct Answer: Rabindranath Tagore
Solution : The correct option is Rabindranath Tagore.
Rabindranath Tagore, a renowned poet, philosopher, and Nobel laureate, built Shantiniketan. In the year 1901, he founded it in Bolpur, a town in West Bengal's Birbhum region. Shantiniketan was initially intended to be an experimental school that integrated
Question : An aspect of Input/Output controller of data logic is called
Option 1: General Buffering
Option 2: Zero Buffering
Option 3: Buffering
Option 4: Data Buffering
Correct Answer: Buffering
Solution : The correct answer is Buffering.
"Buffering" is a term used to describe a feature of an input/output (I/O) controller's data processing. Buffering is the process of temporarily storing data in a buffer, which is a tiny, high-speed memory space. It aids in the smooth flow
Question : If $a=101$, then the value of $a(a^2-3a+3)$ is:
Option 1: 1000000
Option 2: 1010101
Option 3: 1000001
Option 4: 999999
Correct Answer: 1000001
Solution : Given: $a=101$ Substitute the value of $a=101$ in the equation below, we get, $a(a^2-3a+3)$ $=101(101^2-3×101+3)$ $=101(10201-303+3)$ $=101×9901$ $=1000001$ Hence, the correct answer is 1000001.
Question : Which one of the following universities is a Central University ?
Option 1: Kolkata
Option 2: Dibrugarh
Option 3: Pondicherry
Option 4: Kurukshetra
Correct Answer: Pondicherry
Solution : The correct option is Pondicherry.
The Central University of Pondicherry, often known as Pondicherry University, is a central university in Puducherry, India, which is a Union Territory. It was established by an Act of Parliament in 1985 and offers a wide range of academic programmes.
Question : The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.
Option 1: $70 \sqrt{3} \mathrm{~m}$
Option 2: $60 \sqrt{3} \mathrm{~m}$
Option 3: $50 \sqrt{3} \mathrm{~m}$
Option 4: $70 \sqrt{2} \mathrm{~m}$
Correct Answer: $70 \sqrt{3} \mathrm{~m}$
Solution : Height = AC We know, $\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}$ ⇒ $\tan60° =\frac{AC}{70}$ ⇒ $\sqrt3=\frac{AC}{70}$ ⇒ $AC=70\sqrt3\text{ m}$ Hence, the correct answer is $70\sqrt3\text{ m}$.
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