Staff Selection Commission Combined Graduate Level Exam
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 Sun is the star at the centre of (1) __________ Solar System. It is a nearly perfect ball of hot plasma. The Sun has inspired us since ancient times. It’s central to mythology and religion in (2) ____________ around the world. It keeps our planet warm enough for living things to grow. It gives us light so we can see. It is by far the most important (3) _________of energy for life on Earth. It is about a hundred times as wide (4)________ the Earth. If there were no sun, many things wouldn’t occur like photosynthesis or the presence of oxygen, which would have caused no (5) __________ of life.
Select the most appropriate option to fill in the blank number 4.
Option 1: about
Option 2: as
Option 3: like
Option 4: than
Correct Answer: as
Solution : The correct choice is the second option.
The reason for this choice is that the sentence is making a comparison between the width of the Sun and the Earth. When making such comparisons, the correct structure is "as followed by an adjective and
Question : What was the function of an officer called Samaharta?
Option 1: Reserve the state treasury
Option 2: Tax assessment
Option 3: Security assurance
Option 4: To correspond
Correct Answer: Tax assessment
Solution : The correct option is Tax assessment.
The Department of Land Revenue was under the command of an official called Samaharta in the Mauryan administration system. The Mauryan Empire relied heavily on agriculture as a source of money; hence, this job was essential to the
Question : Select the most appropriate collocating word to fill in the blank.
I listened to him with________ attention.
Option 1: hefty
Option 2: massive
Option 3: rapt
Option 4: vast
Correct Answer: rapt
Solution : The correct choice is the third option.
Collocation words are "a predictable combination of words". For example, we can say "heavy rain" but not "strong rain." So, "heavy rain" is a collocation word.
Rapt means completely fascinated or absorbed by something, so in this
Question : $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2=$?
Option 1: $5+\tan ^2 \theta+\cot ^2 \theta$
Option 2: $7+\tan ^2 \theta-\cot ^2 \theta$
Option 3: $7+\tan ^2 \theta+\cot ^2 \theta$
Option 4: $5+\tan ^2 \theta-\cot ^2 \theta$
Correct Answer: $7+\tan ^2 \theta+\cot ^2 \theta$
Solution : $(\sin \theta+\operatorname{cosec} \theta)^2+(\cos \theta+\sec \theta)^2$ = $(\sin^2 \theta+\operatorname{cosec}^2 \theta+2\sin \theta\operatorname{cosec} \theta)+(\cos^2 \theta+\sec^2 \theta+2\cos \theta\sec \theta)$ = $\sin^2 \theta+\cos^2 \theta+\operatorname{cosec}^2 \theta+2\sin \theta\operatorname{cosec} \theta+\sec^2 \theta+2\cos \theta\sec \theta$ = $1+1+\cot^2 \theta+2+1+\tan^2 \theta+2$ = $7+\cot^2 \theta+\tan^2 \theta$ Hence, the correct answer is $7+\tan^2 \theta+\cot^2 \theta$.
Question : What is the total surface area of a pyramid whose base is a square with a side 8 cm and the height of the pyramid is 3 cm?
Option 1: 169 cm2
Option 2: 121 cm2
Option 3: 144 cm2
Option 4: 184 cm2
Correct Answer: 144 cm2
Solution : Given, The side of the square base = 8 cm and the height of the pyramid = 3 cm The slant height (l) of the pyramid needs to be evaluated, ⇒ l2 = ($\frac{\text{side}}{2}$)2 + (Height)2 ⇒ l2 =
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 7 : 21 :: 14 : 42 :: 18 : ?
Option 1: 57
Option 2: 54
Option 3: 63
Option 4: 72
Correct Answer: 54
Solution : Given: 7 : 21 :: 14 : 42 :: 18 : ?
Like, 7 : 21→7 × 3 = 21 14 : 42→14 × 3 = 42 Similarly, for 18 : ?→18 × 3 = 54
So, 54 is related to 18. Hence, the second
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 16
Option 2: 4
Option 3: 2
Option 4: 36
Correct Answer: 2
Solution : Let's check the options – First option: 16 ⇒ 16 = 42 Second option: 4 ⇒ 4 = 22 Third option: 2 ⇒ 2 not a perfect square Fourth option: 36 ⇒ 36 = 42
So, the third option is different from
Question : The current ages of Sudhir and Ashish are in the ratio 5 : 7. Twelve years ago, the ratio of their ages was 1 : 2. What will be the age of Sudhir five years from now?
Option 1: 20 years
Option 2: 25 years
Option 3: 33 years
Option 4: 28 years
Correct Answer: 25 years
Solution : Let the present ages of Sudhir and Ashish be 5$x$ and 7$x$ respectively. According to the question: $\frac{5x-12}{7x-12} = \frac{1}{2}$ ⇒$10x–24 = 7x–12$ ⇒ $3x= 12$ ⇒ $x = 4$ Sudhir's present age = 5 × 4 = 20 Sudhir's age after 5 years
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 5, 10, 13, 26, 29, 58, 61, ?
Option 1: 122
Option 2: 125
Option 3: 128
Option 4: 64
Correct Answer: 122
Solution : Given: 5, 10, 13, 26, 29, 58, 61, ?
Multiply by 2 and add 3 alternatively to the numbers of the series to find the next term – 5 × 2 = 10; 10 + 3 = 13; 13 × 2 = 26; 26 +
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).
They were being commanded to wait till the signal was given.
(1) commanded
(2) command
(3) given command
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct improvement for the sentence is: commanded.
Explanation: In the context of the sentence, "commanded" is the correct word to use to indicate that someone was given an order or directive to wait.
"command"
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