Staff Selection Commission Combined Higher Secondary Level Exam
Question : The average of 8 numbers is 21. If each of the numbers is multiplied by 8, the average of the new set of numbers is:
Option 1: 21
Option 2: 29
Option 3: 8
Option 4: 168
Correct Answer: 168
Solution : Given: The average of 8 numbers = 21 If the average of x numbers is y and each number is multiplied by z, then the new average will be (y × z). According to the question, Required new average = Old average × 8 $\therefore$
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
My parents will ___ my car if I get another speeding ticket.
Option 1: capture
Option 2: grab
Option 3: confiscate
Option 4: mob
Correct Answer: confiscate
Solution : The third option is the correct answer.
The word confiscate is the most appropriate choice in this context because it means explicitly to seize or take possession of something as a penalty or punishment, typically by an authority or a person in charge.
The other
Question : The least value of n, such that (1 + 3 + 32+.......+3n) exceeds 2000, is:
Option 1: 5
Option 2: 6
Option 3: 7
Option 4: 8
Correct Answer: 7
Solution : Series = 1 + 3 + 32 + ...+ 3n It is a geometric series whose common ratio is 3. We know, a + ar + ar2+.......+arn–1 = $\frac{ar^n–1}{r-1}$, where r >1 Here, a = 1, r = 3 Using
Question : What is the value of 3126 ÷ 4 of 521 + 5 × 3?
Option 1: 15.5
Option 2: 14.5
Option 3: 13.5
Option 4: 16.5
Correct Answer: 16.5
Solution : 3126 ÷ 4 of 521 + 5 × 3 = 3126 ÷ 2084 + 5 × 3 = 1.5 + 5 × 3 = 1.5 + 15 = 16.5 Hence, the correct answer is 16.5.
Question : Find the difference between the Compound Interest and Simple Interest on Rs. 32,000 at 10% p.a. for 4 years.
Option 1: Rs. 2,051.20
Option 2: Rs. 2,052.50
Option 3: Rs. 2,025.20
Option 4: Rs. 2,501.20
Correct Answer: Rs. 2,051.20
Solution : Sum, P = Rs. 32,000 Rate, R = 10% Term, $n$ = 4 years When compounded annually, Compound Interest after n years = $P[(1+\frac{R}{100})^{n}–1]$ Compound Interest after 4 years = $32000[(1+\frac{10}{100})^{4}–1]$ = Rs.14,851.20 Simple Interest after n years = $\frac{PnR}{100}$ Simple Interest after 4
Question : Parts of the following sentence have been given as options. One of them may contain an error. Select the option that contains the error. If you don’t find any error, mark ‘No Error’ as your answer. In this world of competitions, every one of us is required to plan our course careful.
Option 1: every one of us is required
Option 2: No Error
Option 3: In this world of competitions
Option 4: to plan our course careful
Correct Answer: to plan our course careful
Solution : The correct choice is the fourth option.
The error in this sentence lies in the word "careful". The correct form should be "carefully".
The adverb "carefully" is needed to modify the verb "plan". When describing how someone plans their course, the
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
I told Benny that the die was cast, and there was no further escape.
Option 1: the course of action ended and it couldn’t be restarted
Option 2: the course of action would never begin
Option 3: the course of action began and it could not be blocked
Option 4: the course of action yet to start and it could be postponed
Correct Answer: the course of action began and it could not be blocked
Solution : The correct choice is the third option.
The phrase, the die was cast is an idiom that means a decision or course of action has been irrevocably taken and cannot be changed.
Therefore, the correct
Question : Directions: Identify the number of triangles in the given figure.
Option 1: 10
Option 2: 7
Option 4: 9
Correct Answer: 10
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are 10 triangles. They are ABC, CEF, DEG, GFH, GHI, JHK, HLM, GLN, JLO, KOP.
Hence, the first option is correct.
Question : Raju and Sohan started a car race from the same point, in the same direction and at the same circular track of length 1725 m with speeds of 72 km/hr and 90 km/hr, respectively. After how much time (in seconds) will they meet again for the first time?
Option 1: 345 seconds
Option 2: 335 seconds
Option 3: 340 seconds
Option 4: 350 seconds
Correct Answer: 345 seconds
Solution : Given: Distance = 1725 m Relative speed between raju and sohan = 90 – 72 = 18 km/hr = $18\times \frac{5}{18}$ = 5 m/s $\therefore$ Time = $\frac{\text{Distance}}{\text{Speed}}=\frac{1725}{5}=345$ seconds Hence, the correct answer is 345 seconds.
Question : Directions: Town A and Town B were 600 km apart. Joshua left town A for town B and travelled at an average speed of 65 km/h. At the same time, Menon left town B for town A. The two of them met 5 hours later. Find Menon's average speed.
Option 1: 55 km/h
Option 2: 60 km/h
Option 3: 65 km/h
Option 4: 120 km/h
Correct Answer: 55 km/h
Solution : Given: Distance between town A and town B = 600 km Average speed of Joshua = 65 km/h Time taken = 5 hours
So, Joshua covered a distance of = Speed × Time = 65 × 5 = 325 km Distance to be covered
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