Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In this question, some equations are solved on the same basis as a certain system. On the same basis, find out the correct answer out of the four alternatives for the unsolved equation. If, 64 + 7 = 460 and 25 + 8 = 212, then 43 + 8 = ?
Option 1: 360
Option 2: 376
Option 3: 332
Option 4: 356
Correct Answer: 356
Solution : Given: 64 + 7 = 460 and 25 + 8 = 212
Like, 64 + 7 = 460→(64 × 7) + 12 = 448 + 12 = 460 And, 25 + 8 = 212→(25 × 8) + 12 = 200 + 12 = 212 Similarly, for 43 + 8 = ?→(43 × 8) + 12 = 344 + 12 = 356
Hence, the fourth option is correct.
Question : Three years ago, Raman’s salary was INR 45,000. His salary is increased by 10 percent, A percent and 20 percent in the first, second and third year respectively. Raman's present salary is INR 83,160. What is the value of A?
Option 1: 50
Option 2: 30
Option 3: 54
Option 4: 40
Correct Answer: 40
Solution : Given: Three years ago, Raman’s salary was INR 45,000. According to the question, 45000 × (100 + 10)% × (100 + A)% × (100 + 20)% = 83160 ⇒ 45000 × $\frac{11}{10}$ × (100 + A)% × $\frac{6}{5}$ = 83160 ⇒ (100 + A)% = $\frac{7}{5}$ ⇒ 5(100 + A) = 7 × 100 ⇒ 500 + 5A = 700 ⇒ 5A = 700 – 500 ⇒ 5A = 200 ⇒ A = 40 Hence, the correct answer is 40.
Question : If $\sec \theta+\tan \theta=3$, then the value of $\sec \theta$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{4}$
Option 3: $\frac{3}{5}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{5}{3}$
Solution : Given: The value of the trigonometric equation is $\sec \theta+\tan \theta=3$. We know that if $\sec \theta+\tan \theta=x$. Then, $\sec \theta–\tan \theta=\frac{1}{x}$. $\sec \theta+\tan \theta=3$ (equation 1) ⇒ $\sec \theta–\tan \theta=\frac{1}{3}$ (equation 2) Adding equation 1 and equation 2, $\sec \theta+\tan \theta+\sec \theta–\tan \theta=3+\frac{1}{3}$ ⇒ $2\sec \theta=\frac{3\times 3 +1}{3}$ ⇒ $2\sec \theta=\frac{10}{3}$ ⇒ $\sec \theta=\frac{5}{3}$ Hence, the correct answer is $\frac{5}{3}$.
Question : The most ideal region for the cultivation of cotton in India is
Option 1: The Brahmaputra Valley
Option 2: The Deccan Plateau
Option 3: The Indo Gangetic Valley
Option 4: The Rann of Kutch
Correct Answer: The Deccan Plateau
Solution : The correct answer is The Deccan Plateau.
Cotton grows well in black soil which is found in Deccan plateau in India. Cotton is a xerophyte and it grows well in high temperatures i.e. from 21-30 degrees celsius. It requires long frost free climate.
Question : Which of the following winds is called anti-trade wind ?
Option 1: Chinook
Option 2: Cyclone
Option 3: Typhoon
Option 4: Westerlies
Correct Answer: Westerlies
Solution : The correct option is Westerlies.
The opposite of the trade winds, which blow from east to west, are the "westerlies." Westerlies are prevailing winds that blow from west to east in the middle latitudes, typically between 30 and 60 degrees latitude in both the Northern and Southern Hemispheres. They are usually referred to as "anti-trade winds," as they do blow in the opposite direction.
Question : Select the most appropriate meaning of the underlined idiom that can be substituted in the following sentence.
I begged him to reconsider my application, but he put his foot down.
Option 1: stamped his foot down
Option 2: agreed to reconsider
Option 3: refused to yield
Option 4: did not run
Correct Answer: refused to yield
Solution : The correct choice is the third option.
The idiom, put his foot down is a figurative expression that means to assert oneself firmly, especially in making a decision or taking a stance. In the context of the sentence, the speaker begged for reconsideration, but the use of the idiom suggests that the other person firmly refused to yield or change their decision.
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. 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.) (44, 63, 98) (59, 99, 149)
Option 1: (81, 15, 87)
Option 2: (54, 73, 121)
Option 3: (19, 32, 44)
Option 4: (82, 13, 96)
Correct Answer: (81, 15, 87)
Solution : Given: (44, 63, 98); (59, 99, 149)
In the given sets, the sum of the first and second numbers equals the sum of the third number and 9. (44, 63, 98)→44 + 63 = 107; 98 + 9 = 107 (59, 99, 149)→59 + 99 = 158; 149 + 9 = 158 Let's check the options – First option: (81, 15, 87)→81 + 15 = 96; 87 + 9 = 96 Second option: (54, 73, 121)→54 + 73 = 127; 121 + 9 = 130 ≠ 127 Third option: (19, 32, 44)→19 + 32 = 51; 44 + 9 = 53 ≠ 51 Fourth option: (82, 13, 96)→82 + 13 = 95; 96 + 9 = 105 ≠ 95
So, only the first option, follows the pattern of the given sets. Hence, the first option is correct.
Question : Non-tax revenue is part of ______.
Option 1: Revenue expenditure
Option 2: Revenue receipts
Option 3: Capital expenditure
Option 4: Capital receipts
Correct Answer: Revenue receipts
Solution : The correct option is Revenue receipts.
Non-tax revenue is part of a government's total revenue. It includes income generated from sources other than taxes, such as fees, fines, profits from state-owned enterprises, and various other forms of income. The money a government collects for regular operations is known as revenue receipts, and it is further subdivided into tax and non-tax revenue.
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? ABCD, EBCD, ?, OBCD, UBCD
Option 1: JBCD
Option 2: LBCD
Option 3: IBCD
Option 4: KBCD
Correct Answer: IBCD
Solution : Given: ABCD, EBCD, ?, OBCD, UBCD
According to the vowel series (A, E, I, O, U), the first letter is increased by 1 from the previous term and BCD is constant in all the terms – ABCD→A + 1 = E; According to the vowel series; EBCD EBCD→E + 1 = I; According to the vowel series; IBCD IBCD→I + 1 = O; According to the vowel series; OBCD OBCD→O + 1 = U; According to the vowel series; UBCD
So, IBCD is the missing term in the series. Hence, the third option is correct.
Question : Fifteen movie theatres average 600 customers per theatre per day. If six of the theatres close down, but the total theatre attendance stays the same, then the average daily attendance per theatre among the remaining theatres is:
Option 1: 900
Option 2: 1000
Option 3: 1100
Option 4: 1200
Correct Answer: 1000
Solution : Total attendance in 15 movie theatres = 15 × 600 = 9000 After the closing of 6 theatres, remaining theatres = 15 – 6 = 9 Attendance remains the same, so the required average: $=\frac{\text{Total attendance}}{\text{Remaining theatres}}$ $=\frac{9000}{9}$ $=1000$ Hence, the correct answer is 1000.
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