Staff Selection Commission Combined Higher Secondary Level Exam
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°
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°.
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
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
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:
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.
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
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.
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.
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,
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: $\frac{343}{25}$
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
Question : Directions: Find the missing number from the given responses.
Option 1: 4
Option 2: 7
Option 3: 6
Option 4: 8
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
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
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
Question : The pie chart given below shows the runs scored by a batsman in five innings. The total runs scored by a batsman in all these five innings is 600. Runs scored by batsmen in a particular inning are shown as a percentage of runs scored in all these five innings. Runs scored in inning A is how much percent of runs scored in inning D?
Option 1: 120 percent
Option 2: 90 percent
Option 3: 70 percent
Option 4: 150 percent
Correct Answer: 120 percent
Solution : Total runs scored = 600 From the given pie- chart, Runs scored in inning A = 30% of 600 = $\frac{30}{100}\times$600 = 180 Runs scored in inning D = 25% of 600 = $\frac{25}{100}\times$600 = 150 So, the required percentage $=\frac{\text{Runs scored in inning
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%
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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