Staff Selection Commission Combined Graduate Level Exam
Question : What is the area of the curved surface of a right circular cone with a height of 8 m and a slant height of 10 m?
Option 1: $60\mathrm{~m}^2$
Option 2: $60\pi \mathrm{~m}^2$
Option 3: $40 \mathrm{~m}^2$
Option 4: $ 40 \pi \mathrm{~m}^2$
Correct Answer: $60\pi \mathrm{~m}^2$
Solution : Given: Height($h$) = 8 m and slant height($l$) = 10 m Radius($r$) = $\sqrt{l^2-h^2}$ = $\sqrt{10^2-8^2}$ = $\sqrt{100-64}$ = $\sqrt{36}$ = 6 m Area of the curved surface of a right circular cone = $ \pi rl$ = $\pi×6×10$ = $60\pi $ Hence, the
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Police : Protection
Option 1: Minister : Governance
Option 2: Thief : Jail
Option 3: King : Kingdom
Option 4: Teacher : Class
Correct Answer: Minister : Governance
Solution : Given: Police : Protection
Like, the police provide protection to the public.
Let's check the options – First option: Minister : Governance; A minister is responsible for the governance of a country or state. Second option: Thief : Jail; Thief is kept in
Question : A megastore is offering a 20% discount on all grocery items. Sakshi bought one grocery item marked at Rs. 400. What is its cost price if the store earned a profit of 25% after giving the discount?
Option 1: Rs. 256
Option 2: Rs. 280
Option 3: Rs. 380
Option 4: Rs. 320
Correct Answer: Rs. 256
Solution : Let the cost price be $x$. Marked price, MP = Rs. 400 Profit % gained = 25% Selling price, SP after 20% discount = MP – $\frac{20}{100}$MP ⇒ SP = 400 – $\frac{20}{100}\times$ 400 ⇒ SP = Rs. 320 Also, Profit percentage = $\frac{\text{Selling
Question : Study the given graph and answer the question that follows.
By what percent were the total exports of computers, by the company, in 2013, 2014, and 2018 less than the total production of computers from 2015 to 2017 (correct to one decimal place)?
Option 1: 28.8
Option 2: 32.6
Option 3: 43.1
Option 4: 30.1
Correct Answer: 30.1
Solution : Total export during 2013, 2014, and 2018 = 140 + 240 + 270 Total export during 2013, 2014, and 2018 = 650 Total production during ;2015, 2016, and 2017 = 300 + 290 + 340 Total production during 2015, 2016, and 2017 = 930 The
Question : Directions: In the following question, select the related number from the given alternatives. 42 : 56 :: 110 : ?
Option 1: 18
Option 2: 132
Option 3: 136
Option 4: 140
Correct Answer: 132
Solution : Given: 42 : 56 :: 110 : ?
7 × (7 – 1) = 7 × 6 = 42 7 × (7 + 1) = 7 × 8 = 56 Similarly, 11 × (11 – 1) = 11 × 10 = 110 11 × (11
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs except one. Find that odd number pair.
Option 1: 15 : 34
Option 2: 1 : 6
Option 3: 7 : 18
Option 4: 18 : 42
Correct Answer: 18 : 42
Solution : Let's check the options – First option: 15 : 34; 15 × 2 = 30; 30 + 4 = 34 Second option: 1 : 6; 1 × 2 = 2; 2 + 4 = 6 Third option: 7 : 18; 7 × 2
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
I left my job because I did not (agree to) the company's appraisal policies.
(1) agree about
(2) agree with
(3) agree on
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The appropriate answer is the second option because 'agree with' should be used instead of 'agree to' which means 'to accept a suggestion' and makes the sentence contextually correct.
Therefore, the correct statement should be "I left my job because I did not agree with
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'.
It is reported that she has win a prize money of ten lakhs at a reality show.
Option 1: she will won
Option 2: she had win
Option 3: No substitution required
Option 4: she has won
Correct Answer: she has won
Solution : The correct choice is the fourth option.
The original sentence contains a verb-tense error. In this context, the past participle form has won should be used to indicate that she has already won the prize money.
Therefore, the correct sentence is: It is
Question :
Directions: In the following question, select the related word from the given alternatives. Jailor : Prison :: Curator : ?
Option 1: Cell
Option 2: Museum
Option 3: Warden
Option 4: Cure
Correct Answer: Museum
Solution : Given: Jailor : Prison :: Curator : ?
The jailor is the custodian of prisoners in prison. Similarly, the curator is the custodian of the collections in a museum.
Hence, the second option is correct.
Question : A shopkeeper bought a certain number of apples for Rs. 3,600. He sold one-fifth of them at a loss of 10%, one-fourth of the remaining apples at a loss of 5%, and two-thirds of the rest at a profit of 15%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27% overall?
Option 1: 1,548
Option 2: 1,584
Option 3: 1,845
Option 4: 1,864
Correct Answer: 1,584
Solution : A shopkeeper bought a certain number of apples for Rs. 3,600. He wants 27% profit overall. So, the overall selling price for the full set must be $\frac{3600 × 127}{100} = 4572$ Let's assume he has 100 apples. An apple costs $\frac{3600}{100} = 36$ He
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