Staff Selection Commission Combined Higher Secondary Level Exam
Question : What is the popular name for mercury(I) chloride used as a laboratory reagent and as a depolarizer in dry batteries?
Option 1: Calomel
Option 2: Phosgene
Option 3: Galena
Option 4: Saltpetre
Correct Answer: Calomel
Solution : The correct answer is Calomel.
The popular name for mercury(I) chloride is calomel. Calomel is a white or yellowish-white powder that has been used as a laboratory reagent in medicine and as a depolarizer in dry batteries.
Question : How many solid spherical balls of radius 6 cm can be made by melting a solid hemisphere of radius 12 cm?
Option 1: 4
Option 2: 2
Option 3: 10
Option 4: 8
Correct Answer: 4
Solution : The radius of a spherical ball, $r_1$ = 6 cm The radius of the solid hemisphere, $r_2$ = 12 cm Volume of a sphere = $\frac{4}{3}\pi{r_1^3}$ Volume of a hemisphere = $\frac{2}{3}\pi{r_2^3}$ Let n numbers of spherical balls be made. So, $\text{n} \times\frac{4}{3}\pi\times6^3 = \frac{2}{3}\pi\times12^3$
Question : The average of 6 consecutive even numbers is 35. What will be the sum of the smallest and largest even number among these 6 numbers?
Option 1: 68
Option 2: 72
Option 3: 70
Option 4: 66
Correct Answer: 70
Solution : The average of 6 consecutive even numbers is 35. Let the 6 consecutive even numbers be n, (n + 2), (n + 4), (n + 6), (n + 8), (n + 10). The Sum of 6 consecutive numbers = n + (n + 2) +
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. All the housewives who went to the Kalpatharu Supermarket in Bengaluru had one great ambition: to be the lucky customer who did not have to pay for her (1)________. For this was what that notice just inside the entrance promised. It said, ‘Remember, once a week, one of our customers gets free goods. This may be your (2)________ day!’ For several weeks, Mrs. Batliwala hoped, like many of her friends, to be the lucky (3)________Unlike her friends, she never gave up hope. Her kitchen was full of things which she did not need. She dreamed of the day when the manager of the supermarket would approach her and say “Madam, this is your lucky day. (4)________ in your basket is free.” On Saturday morning, Mrs. Batliwala went to the supermarket and bought only tea. She went to the cash desk when the manager of the supermarket came up to her and said, “You are our lucky customer, and everything in your basket is (5)________!” Select the most appropriate option to fill in the blank number 1.
Option 1: cloths
Option 2: shopping
Option 3: sugar
Option 4: jewellery
Correct Answer: shopping
Solution : The correct choice is the second option.
The use of the word "shopping" is right in the given context. The word shopping refers to the purchase of some goods.
Therefore, the correct sentence would be: "All the housewives who went to the Kalpatharu Supermarket in
Question : Choose the sentence with no spelling error.
Option 1: We can never solvve our problems.
Option 2: We can never solve our problems.
Option 3: We can never solve our problams.
Option 4: We can nver solve our problems.
Correct Answer: We can never solve our problems.
Solution : The second option is correct.
Explanation for the incorrect options:
The correct sentence
Question : The use of more labour and capital inputs on the given land under cultivation is referred to as
Option 1: extensive cultivation
Option 2: intensive cultivation
Option 3: hybrid cultivation
Option 4: capitalist cultivation
Correct Answer: intensive cultivation
Solution : The correct option is intensive cultivation.
Intensive farming requires significant financial and labour inputs about the size of the farmland. Producing as much food as possible in proportionate amounts is intensive agriculture's goal. Wheat, rice, soyabeans, and corn are intensively grown crops.
Question : If $a^3+3 a^2+3 a=63$, then the value of $a^2+2 a$ is:
Option 1: 22
Option 2: 19
Option 3: 15
Correct Answer: 15
Solution : $a^3+3 a^2+3 a=63$ We can factor the left side of the equation by recognizing it as a cube of a binomial, $(a+1)^3=a^3+3a^2+3a+1$ Comparing this with the given equation, we have: $(a+1)^3=63+1$ Taking the cube root of both sides, we get: $a + 1 = \sqrt[3]{64}$
Question : Directions: Four triads of numbers have been given out of which three are alike in some manner and one is different. Select a different one. NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 19 – 37 – 73
Option 2: 14 – 29 – 59
Option 3: 23 – 47 – 95
Option 4: 3 – 7 – 15
Correct Answer: 19 – 37 – 73
Solution : Let's check the options –
First option: (19 – 37 – 73)→(19 × 2) + 37 + 2 = 38 + 37 + 2 = 77 ≠ 73 Second option: (14 – 29 – 59)→(14 × 2) + 29 + 2
Question : The value of 32 + 12 × 36 ÷ 4 + 4 – 22 ÷ 11 × 3 is:
Option 1: 142
Option 2: 138
Option 3: 150
Option 4: 130
Correct Answer: 138
Solution : 32 + 12 × 36 ÷ 4 + 4 – 22 ÷ 11 × 3 Applying BODMAS, we get: = 32 + 12 × 9 + 4 - 2 × 3 = 32 + 108 + 4 - 6 = 138 Hence, the correct answer
Question : Study the given table and answer the question that follows. The table indicates the number of students studying in three disciplines in four different colleges.
Which college has the minimum number of students in Commerce?
Option 1: A
Option 2: B
Option 3: C
Option 4: D
Correct Answer: C
Solution : From the given data, the minimum number of students in commerce = 515 Hence, the correct answer is C.
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