Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Three of the following number pairs are alike in some manner and one is different. Select the odd number pair. (NOTE: The second number in the given number pairs is formed by performing a certain operation on the first number. The same operation is followed in all the number pairs except one. Find that odd number pair.)
Option 1: 55 : 10
Option 2: 80 : 13
Option 3: 20 : 3
Option 4: 95 : 18
Correct Answer: 80 : 13
Solution : Let's check the options – First option: 55 : 10; 55 – 5 = 50; 50 ÷ 5 = 10 Second option: 80 : 13; 80 – 5 = 75; 75 ÷ 5 = 15 ≠ 13 Third option: 20 : 3; 20
Question : Which of the following articles of the Indian Constitution directs the state to provide for a 'Uniform Civil Code'?
Option 1: Article 45
Option 2: Article 43
Option 3: Article 44
Option 4: Article 42
Correct Answer: Article 44
Solution : The correct option is Article 44.
The Indian Constitution, in Part 4, Article 44, makes explicit reference to the "Uniform Civil Code." "The state shall endeavour to secure for the citizens a uniform civil code throughout the territory of India," states Article 44.
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (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.) (46, 93, 187) (123, 247, 495)
Option 1: (208, 418, 837)
Option 2: (313, 627, 1255)
Option 3: (111, 213, 427)
Option 4: (184, 369, 729)
Correct Answer: (313, 627, 1255)
Solution : Given: (46, 93, 187); (123, 247, 495)
Here, (46, 93, 187)→(46 × 2) + 1 = 92 + 1 = 93; (93 × 2) + 1 = 186 + 1 = 187 (123, 247, 495)→(123 × 2) + 1 = 246 + 1
Question : Directions: The following pie chart shows the study time of different subjects of a student in a day. Study the pie chart and answer the following question.
If a student studies 10 hours a day, then he studies maths for?
Option 1: $3\ \text{hours}$
Option 2: $\frac{10}{3}\ \text{hours}$
Option 3: $\frac{1}{3}\ \text{hours}$
Option 4: $\frac{3}{10}\ \text{hours}$
Correct Answer: $3\ \text{hours}$
Solution : A student studies 10 hours a day. He studies math for $=\frac{30}{100}×10=3$ hours Hence, the correct answer is 3 hours.
Question : Fill in the blank with the most suitable word.
The humour of the gods is cruel; or______ they see more than we do.
Option 1: unlikely
Option 2: odds
Option 3: perhaps
Option 4: however
Correct Answer: perhaps
Solution : The third option is the correct answer.
In this context, the sentence structure suggests a sense of uncertainty or possibility, making "perhaps", the most suitable word. It conveys the idea that the gods may see more than we do, but it leaves room for doubt
Question : The dimensions of force are:
Option 1: M0 L3 T0
Option 2: ML-3 T0
Option 3: M0 LT-1
Option 4: MLT-2
Correct Answer: MLT-2
Solution : The correct option is MLT-2.
Force is a vector quantity. It is defined as the mass of the object or body multiplied by acceleration. It is the pull or push motion of the body. The dimensional formula of force is MLT-2
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.
Then, he left for Silicon Valley to ____ his dream of launching a start-up.
Option 1: persevere
Option 2: eschew
Option 3: pursue
Option 4: cherish
Correct Answer: pursue
Solution : The third option is the correct choice.
Pursuing a dream means actively working towards achieving it, which is the intended meaning of the sentence.
The meanings of the other options are as follows:
Question : The smallest among the numbers $2^{250},3^{150},5^{100}$, and $4^{200}$ is:
Option 1: $4^{200}$
Option 2: $5^{100}$
Option 3: $3^{150}$
Option 4: $2^{250}$
Correct Answer: $5^{100}$
Solution : The HCF of the exponentials 250, 150, 100, and 200 is 50. So we can write: $2^{250} = 2^{5\times 50} = (2^5)^{50} = 32^{50}$ $3^{150} = 3^{3\times 50} = (3^3)^{50}=27^{50}$ $5^{100} = 5^{2\times 50} = (5^2)^{50} = 25^{50}$ $4^{200} = 4^{4\times 50} = (4^4)^{50} =
Question : Select the meaningful and correctly spelled word from the given options to fill in the blank. The colourful procession was the last item to be performed in the ___________.
Option 1: peasantry
Option 2: pegentry
Option 3: pageantry
Option 4: pegeantri
Correct Answer: pageantry
Solution : The correct choice is the third option.
Pageantry refers to an elaborate display or ceremony, especially one involving costumes, music, and procession, which fits well in the context of the sentence.
Therefore, the complete sentence is "The colourful procession was the last item to be
Question : Pipe X can fill a tank in 20 hours and pipe Y can fill the tank in 35 hours. Both the pipes are opened at alternate hours. If pipe Y was opened first, then how much time (in hours) does it take to fill the tank?
Option 1: $\frac{269}{11}$
Option 2: $\frac{286}{11}$
Option 3: $\frac{179}{7}$
Option 4: $\frac{172}{7}$
Correct Answer: $\frac{179}{7}$
Solution : Given: Pipe X can fill a tank in 20 hours. Pipe Y can fill the tank in 35 hours. Let the capacity of the tank = LCM of 20 and 35 = 140 units Efficiency of X per hour = $\frac{140}{20}$ = 7 units Efficiency
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