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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If $\cos3A = \sin (A-18°)$, where 3A is an acute angle, what is the value of A?

Option 1: 110°

Option 2: 108°

Option 3: 54°

Option 4: 27°

Team Careers360 21st Jan, 2024

Correct Answer: 27°


Solution : Given, $\cos3A = \sin (A-18°)$
We know, $\cos A = \sin(90°-A)$
⇒ $\sin(90°-3A)=\sin(A-18°)$
⇒ $90°-3A=A-18°$
⇒ $90°+18 = A+3A$
⇒ $4A=108°$
⇒ $A=27°$
Hence, the correct answer is 27°.

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Question : Directions: In the following question, which one set of letters/numbers when sequentially placed at the gaps in the given letter series shall complete it?
_ _ babbba_a_ _

Option 1: baaab

Option 2: babbb

Option 3: ababb

Option 4: bbaba

Team Careers360 24th Jan, 2024

Correct Answer: babbb


Solution : Given:
_ _ babbba_a_ _

To fill the series we have to divide the series – _ _ b/abb/ba _/a_ _
Let's check each option –
First option: baaab; bab/abb/baa/aab (No repeated pattern has been found)
Second option: babbb; bab/abb/ba

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Question : Directions: Among the four answer figures, which one can be formed from the cutout pieces given below in the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : The given figure can be numbered as shown below –

The parts can be arranged in the following manner –

The above-compiled figure matches the figure given in the second option. Hence, the second option is correct.

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Question : Fill in the blank with an appropriate option.
Participants were ______ a meal of steak and French fries under dim light.

Option 1: served

Option 2: nerved

Option 3: cured

Option 4: calmed

Team Careers360 25th Jan, 2024

Correct Answer: served


Solution : The first option is correct.

In the context of the sentence, the word that fits best is served, which means to present food or drink for people to have.

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Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
The skull bones of a woodpecker has a different chemical composition and density.

Option 1: No error

Option 2: The skull bones of a

Option 3: woodpecker has a different

Option 4: chemical composition and density.

Team Careers360 23rd Jan, 2024

Correct Answer: woodpecker has a different


Solution : The correct choice is the third option.

The error lies in the subject-verb agreement. The word "bones" is a plural noun, so the verb "have" should be used instead of "has" to maintain proper agreement between the subject and the verb.

Therefore,

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Question : If 7 men working 7 hours a day for each of 7 days produce 7 units of work, then the units of work produced by 5 men working 5 hrs a day for each of 5 days is:

Option 1: $\frac{25}{343}$

Option 2: $\frac{125}{49}$

Option 3: $\frac{49}{125}$

Option 4: $\frac{343}{25}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{125}{49}$


Solution : Units of work by a group of 7 men, $W_1=7$
Time taken by them, $D_1=7$ days
Number of hours they worked in a day, $T_1=7$ hours
Let units of work by a group of 5 men be $W_{2}$
Time taken by them, $D_2=5$ days
Number

21 Views

Question : Directions: Find the missing number from the given responses.

5 7 9
4 8 2
8 6 ?
160 336 108

Option 1: 4

Option 2: 7

Option 3: 6

Option 4: 8

Team Careers360 25th Jan, 2024

Correct Answer: 6


Solution : Here, multiply the numbers given in rows one, two, and three to get the number for row four.

Like, in the first column→5 × 4 × 8 = 160
And, in the second column→7 × 8 × 6 = 336
Similarly, in the third column→9

71 Views

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Once King Krishnadeva Raya (1)________ a parrot of which he was excessively fond. He kept it in a silver cage and fed it fruits, nuts, and anything else the bird asked for. The parrot longed for freedom and often asked for it, but the king would always reply, "Ask for anything else." One day, the parrot said to the king, "Give me freedom, and I'll give you three (2)________ advice that could be of great benefit to you." The king loved the parrot, but he loved money (3)_______. The parrot said, "Never believe everything that is told to you. What you don't know is that I've two priceless gems in my stomach," said the bird. "Two priceless gems," echoed the king, "Oh, what a fool I was to set you free! I'll regret this for the rest of my life!" I (4)_________ you never to grieve over losses, but here you are grieving over losing me," said the parrot, "I advised you never to believe everything you hear, but you immediately believed me when I told you I had two gems in my stomach. (5)_________ I have survived if I really had two gems in my stomach?" My third advice is, "Listen, learn to listen with your mind instead of just with your ears." Saying these words, the parrot flew away.
Select the most appropriate option to fill in the blank number 1.

Option 1: has

Option 2: had

Option 3: have

Option 4: will have

Team Careers360 22nd Jan, 2024

Correct Answer: had


Solution : The correct choice is the second option.

Explanation: The use of had is consistent with the past tense of the narration. The sentence describes a situation that existed in the past, emphasising the possession of a parrot by King Krishnadeva Raya at a specific point

56 Views

Question : A sum of Rs. 3000 becomes Rs. 6000 when invested in a scheme of simple interest. If the annual rate of interest and the number of years for which the sum was invested are the same, then what is the annual rate of interest?

Option 1: 5%

Option 2: 20%

Option 3: 10%

Option 4: 15%

Team Careers360 25th Jan, 2024

Correct Answer: 10%


Solution : Given: Principal amount, P = Rs. 3000
Total amount = Rs. 6000
⇒Interest, SI = Rs. 6000 – Rs. 3000 = Rs. 3000
Let $R$ be the rate of interest and $n$ be the number of years.
Here $R$ = $n$
Simple interest = $\frac{\text{Principal

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