Staff Selection Commission Combined Graduate Level Exam
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.
Human activities are changing Earth's natural greenhouse 1. _________. Burning fossil fuels like coal and oil puts 2. _________carbon dioxide into our atmosphere. NASA has 3.__________increase in the amount of carbon dioxide and some other greenhouse gases in 4. ___________atmosphere. Too much of these greenhouse gases can 5. __________Earth's atmosphere to trap more and more heat. This causes Earth to warm up.
Question: Select the most appropriate option to fill in the blank No. 3.
Option 1: to observe
Option 2: observing
Option 3: observe
Option 4: observed
Correct Answer: observed
Solution : The fourth option is correct.
Explanation:
In the sentence, "an increase in the amount of carbon dioxide" indicates what NASA has observed, specifically a rise in the quantity of carbon dioxide. So, the sentence means that NASA has detected and documented a rise in
Question : Directions: Consider the given statement to be true, even if it seems to be at variance from commonly known facts. You have to decide which of the following conclusions or assumptions be drawn from the given statement. Statement: Honesty is the best policy. Conclusions: I. All should be honest. II. Only some people should be honest.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusion I and conclusion II follow
Option 4: Neither conclusion I nor conclusion II follows
Correct Answer: Only conclusion I follows
Solution : Let's analyse the conclusions – Conclusion I: All should be honest. The statement states that Honesty is the best policy so everyone should be honest. Honest people are loved by everyone and honesty helps to earn respect. Therefore, this conclusion follows. Conclusion
Question : Disguised unemployment in India is mainly related to:
Option 1: agricultural sector
Option 2: rural area
Option 3: factory sector
Option 4: urban area
Correct Answer: agricultural sector
Solution : The correct answer is the agricultural sector.
Agriculture is the primary source of disguised unemployment in India. Agriculture employs the most people in India, accounting for more than half of the total. However, agricultural production is low, and there is an excess of
Question : If $(a+b+c)=14$ and $\left(a^3+b^3+c^3-3 a b c\right)=98$, find the value of $(ab+bc+ca)$.
Option 1: 60
Option 2: 64
Option 3: 65
Option 4: 63
Correct Answer: 63
Solution : Given that: $a + b + c = 14$ and $a^3 + b^3 + c^3 - 3abc = 98$ We have to find the value of $ab +bc +ca$ We know that, $a^3 + b^3+ c^3 - 3abc = 98$ ⇒ $(a^2+ b^2+ c^2 -
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. The triangle inside the pentagon moves from top left to top right, then again from top right to top left, and so on. 2. The rectangle inside the pentagon moves from bottom right to bottom left, then again
Question : Directions: If A means +, B means ×, C means ÷, and D means –, then the value of the given equation will be 9 A 2 B 6 D 4 C 2 = ?
Option 1: 16
Option 2: 19
Option 3: 27
Option 4: 30
Correct Answer: 19
Solution : Given: 9 A 2 B 6 D 4 C 2 = ?
After replacing the letters with mathematical signs, the equation becomes – = 9 + 2 × 6 – 4 ÷ 2 = 9 + 2 × 6 – 2 = 9 + 12
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (2, 1, 5) (5, 12, 22) (6, 2, ?)
Option 1: 6
Option 2: 14
Option 3: 8
Option 4: 12
Correct Answer: 14
Solution : Given: (2, 1, 5), (5, 12, 22); (6, 2, ?)
In the given sets, multiply the first number by 2 and then add the resultant to the second number to obtain the third number. Like, (2, 1, 5)→2 × 2 = 4; 4 + 1
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits.) (7, 150, 23) (11, 75, 4)
Option 1: (4, 108, 16)
Option 2: (8, 90, 11)
Option 3: (9, 80, 11)
Option 4: (15, 140, 13)
Correct Answer: (15, 140, 13)
Solution : Given: (7, 150, 23); (11, 75, 4)
Here, (7, 150, 23)→(7 + 23) × 5 = 30 × 5 = 150 (11, 75, 4)→(11 + 4) × 5 = 15 × 5 = 75
Now, let's check the options
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. A can be represented by 03,55, etc. and P can be represented by 10,44, etc. Similarly, you have to identify the set for the word TOWN.
Option 1: 40, 86, 03, 59
Option 2: 68, 75, 30, 43
Option 3: 68, 76, 58, 21
Option 4: 40, 33, 58, 22
Correct Answer: 40, 33, 58, 22
Solution : Given – TOWN
Option first: 40, 86, 03, 59
TOAN
Option second: 68, 75, 30, 43
TOWI
Option third: 68, 76, 58, 21
TIWU
Option fourth: 40, 33, 58, 22
TOWN
The fourth set represents the word TOWN.
Hence, fourth option is
Question : $\theta$ is a positive acute angle and $\sin\theta-\cos\theta=0$, then the value of $\sec\theta+\operatorname{cosec}\theta$ is:
Option 1: $2$
Option 2: $\sqrt{3}$
Option 3: $2\sqrt{2}$
Option 4: $3\sqrt{2}$
Correct Answer: $2\sqrt{2}$
Solution : Given: $\sin\theta-\cos\theta=0$ ⇒ $\sin\theta=\cos\theta$ ⇒ $\sin\theta=\sin\;(90°-\theta)$ ⇒ $2\theta=90°$ ⇒ $\theta=45°$ So, $\sec\theta+\operatorname{cosec}\theta$ $= \sec 45°+ \operatorname{cosec} 45°$ $= \sqrt{2}+\sqrt{2}$ $= 2\sqrt{2}$ Hence, the correct answer is $2\sqrt{2}$.
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