Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: By interchanging which two signs the given equation will be correct? 12 ÷ 16 – 8 + 14 × 2 = 38
Option 1: – and ÷
Option 2: × and ÷
Option 3: ÷ and +
Option 4: + and ×
Correct Answer: – and ÷
Solution : Given: 12 ÷ 16 – 8 + 14 × 2 = 38
Replace the given signs in the options one by one with the original signs in the given equation. First option: – and ÷ ⇒ 12 – 16 ÷ 8 + 14
Question : $\frac{\cos \theta}{\sec \theta-1}+\frac{\cos \theta}{\sec \theta+1}$ is equal to :
Option 1: $2 \sec ^2 \theta$
Option 2: $2 \cot ^2 \theta$
Option 3: $2 \cos ^2 \theta$
Option 4: $2 \sin ^2 \theta$
Correct Answer: $2 \cot ^2 \theta$
Solution : $\frac{\cos \theta}{\sec \theta-1}+\frac{\cos \theta}{\sec \theta+1}$ =$\frac{\cos \theta(\sec \theta+1)}{\sec^2 \theta-1}+\frac{\cos \theta(\sec \theta-1)}{\sec^2 \theta-1}$ =$\frac{1+\cos \theta+1-\cos\theta}{\tan^2\theta}$ =$2\cot^2\theta$ Hence, the correct answer is $2\cot^2\theta$.
Question : Directions: Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? (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 ete. 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: 46 – 41 – 12
Option 2: 16 – 9 – 21
Option 3: 23 – 18 – 15
Option 4: 34 – 28 – 18
Correct Answer: 46 – 41 – 12
Solution : Let's check each option – First option: 46 – 41 – 12→46 – 41 = 5; 5 × 3 = 15 ≠ 12 Second option: 16 – 9 – 21→16 – 9 = 7; 7 × 3 = 21 Third option:
Question : The total utility from 9 units of commodity x is 20 and from 10 units is 15. Calculate the marginal utility from the 10th unit.
Option 1: 0.5
Option 2: - 0.5
Option 3: 5
Option 4: - 5
Correct Answer: - 5
Solution : The correct option is - 5.
Marginal utility is the additional satisfaction or usefulness that a consumer derives from consuming an additional unit of a good or service. To calculate the marginal utility from the 10th unit of commodity X, we need to
Question : A part of national debt known as external debt is the amount_______.
Option 1: borrowed by its citizens from abroad
Option 2: lent by its citizens from abroad
Option 3: borrowed by its government from abroad
Option 4: lent by its government to foreign government
Correct Answer: borrowed by its government from abroad
Solution : The correct answer is borrowed by its government from abroad.
External debt is a component of national debt due to creditors outside the country. It could be owing to the government, a bank, or another financial organisation. External debt
Question : ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If $\angle$ABC = $75^{\circ}$, then the measure of $\angle$BCD is:
Option 1: $75^{\circ}$
Option 2: $95^{\circ}$
Option 3: $45^{\circ}$
Option 4: $105^{\circ}$
Correct Answer: $75^{\circ}$
Solution : ABCD is a cyclic trapezium, The two pairs of adjacent angles in a cyclic trapezium are equal in measure. So, $\angle$ABC = $\angle$BCD = $75^{\circ}$. Hence, the correct answer is $75^{\circ}$.
Question : The process of arranging data in a logical sequence is called:
Option 1: Classifying
Option 2: Reproducing
Option 3: Summarising
Option 4: Sorting
Correct Answer: Sorting
Solution : The correct answer is Sorting.
Sorting is the process of organising data in a logical order. Rearranging a group of items in a sequence to put them in a logical order is the process of sorting. In both commercial data processing and contemporary scientific
Question : Directions: In the following question, find the odd letter from the given alternatives.
Option 1: BDGK
Option 2: JLOS
Option 3: NPSW
Option 4: MORU
Correct Answer: MORU
Solution : Let's check the options – First option: BDGK; B + 2 = D; D + 3 = G; G + 4 = K Second option: JLOS; J + 2 = L; L + 3 = O; O + 4 = S Third option: NPSW; N
Question : Which of the following combinations of tenors of Treasury bills issued by the Government of India is correct?
Option 1: 82 days, 182 days, 345 days
Option 2: 91 days, 182 days, 364 days
Option 3: 61 days, 145 days, 360 days
Option 4: 91 days, 152 days, 356 days
Correct Answer: 91 days, 182 days, 364 days
Solution : The correct answer is 91 days, 182 days, 364 days.
The Indian Government issues Treasury Bills (T-bills) in three tenors: 91 days, 182 days, and 364 days. These represent the maturity periods, indicating the time for the government to
Question : The average age of A and B is 20 years. If A is to be replaced by C, the average would be 19 years. The average age of C and A is 21 years. The ages of A, B, and C in order (in years) are:
Option 1: 18, 22, and 20
Option 2: 18, 20, and 22
Option 3: 22, 18, and 20
Option 4: 22, 20, and 18
Correct Answer: 22, 18, and 20
Solution : Given: The average age of A and B = 20 years If A is to be replaced by C, the average would be 19 years. The average age of C and A = 21 years So, $\frac{A+B}{2}$ = 20 ⇒ A +
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