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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 22nd Jan, 2024

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
$\therefore$

14 Views

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

Team Careers360 25th Jan, 2024

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

16 Views

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

Team Careers360 24th Jan, 2024

Correct Answer: 7


Solution : Series = 1 + 3 + 3+ ...+ 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

14 Views

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

Team Careers360 23rd Jan, 2024

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.

34 Views

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

Team Careers360 23rd Jan, 2024

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

7 Views

Question : Directions: Identify the number of triangles in the given figure.

Option 1: 10

Option 2: 7

Option 3: 8

Option 4: 9

Team Careers360 22nd Jan, 2024

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.

43 Views

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

Team Careers360 22nd Jan, 2024

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.

18 Views

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

Team Careers360 24th Jan, 2024

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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