Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select a suitable figure from the answer figures that would replace the question mark (?).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Given: Moving from Figure 1 to Figure 2, the lines with the symbol are rotated 90 degrees anti-clockwise.
Moving from Figure 2 to Figure 3, the lines with the symbol are rotated 90 degrees anti-clockwise. Moving from Figure 3 to Figure 4, the lines with the
Question : The selling price of 28 items is equal to the cost price of 17 items. What is the percentage of profit or loss?
Option 1: $39 \frac{2}{7} \%$ loss
Option 2: $39 \frac{2}{7} \%$ profit
Option 3: $33 \frac{2}{7} \%$ profit
Option 4: $33 \frac{2}{7} \%$ loss
Correct Answer: $39 \frac{2}{7} \%$ loss
Solution : Let the cost price of each item be Re. 1 ⇒ cost price of 28 items = Rs. 28 Also, Selling price of 28 items = Rs. 17 ⇒ Loss = 28 - 17 = Rs. 11 ⇒ Loss % = $\frac{11}{28}
Question : The value of $\cos^2 32^{\circ}-\sin^2 58^{\circ}$ is:
Option 1: $\frac{1}{2}$
Option 2: $-1$
Option 3: $1$
Option 4: $0$
Correct Answer: $0$
Solution : $\cos^2 32^{\circ}-\sin^2 58^{\circ}$ $= \cos^2 32^{\circ} - \sin^2 (90^{\circ}-32^{\circ})$ $= \cos^2 32^{\circ} - \cos^2 32^{\circ} = 0$ Hence, the correct answer is $0$.
Question : By which natural number should 5000 be divided so that it becomes a perfect square?
Option 1: 2
Option 2: 5
Option 3: 8
Option 4: 7
Correct Answer: 2
Solution : Find factors of 5000, 5000 = 2 × 5 × 5 × 10 × 10 Here, the factor of 2 doesn't come in a pair. Therefore, 5000, when divided by 2, will yield a perfect square. Hence, the correct answer is 2.
Question : A line of length 1.5 metres was mistakenly measured as 1.55 metres. What is the percentage error in the measurement?
Option 1: $0.05$%
Option 2: $3\frac{7}{31}$%
Option 3: $3\frac{1}{3}$%
Option 4: $0.5$%
Correct Answer: $3\frac{1}{3}$%
Solution : Given: A line of length 1.5 metres was measured as 1.55 metres by mistake. Wrong Number = 1.55 metres Actual Number = 1.5 metres Error percentage = $\frac{\text{Wrong number – Actual number}}{\text{Actual number}}$ × 100 = $\frac{1.55-1.5}{1.5}$ × 100 = $\frac{0.05}{1.5}$ × 100 = $\frac{5}{1.5}$%
Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Lata Mangeshkar was ___ with a natural talent for music.
Option 1: Given
Option 2: found
Option 3: endowed
Option 4: entrusted
Correct Answer: endowed
Solution : The correct word to fill in the blank is the third option.
This means to be naturally gifted or possessed of a particular quality or talent. In the context of the sentence, it conveys the idea that Lata Mangeshkar had an inherent, natural talent for
Question : Which state is famous for celebrating the Majuli festival?
Option 1: Manipur
Option 2: Assam
Option 3: Sikkim
Option 4: Meghalaya
Correct Answer: Assam
Solution : The correct answer is Assam.
Majuli festival is held in the country's northeastern state of Assam. The event takes place on the banks of the River Luit, which has the world's largest river island. Every year on November 21, this celebration begins and ends on
Question : Directions: The weights of the 4 boxes are 90, 40, 80, and 50 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes, and in a combination a box can be used only once?
Option 1: 200
Option 2: 260
Option 3: 180
Option 4: 170
Correct Answer: 200
Solution : Given: The weights of 4 boxes are 90, 40, 80, and 50 kilograms.
The total weight of all possible combinations of boxes is as follows – 90 + 40 = 130; 90 + 80 = 170; 90 + 50 = 140; 40 + 80 =
Question : Select the correct direct form of the given sentence. Neha exclaimed that it was a very pleasant surprise.
Option 1: Neha said, “Is it a very pleasant surprise?”
Option 2: Neha said, “How a pleasant surprise!”
Option 3: Neha said, “It is a very pleasant surprise.”
Option 4: Neha said, “What a pleasant surprise!”
Correct Answer: Neha said, “What a pleasant surprise!”
Solution : The correct choice is the fourth option.
Direct speech involves quoting the exact words spoken by a person without any changes.
The steps of conversion are as follows:
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * and balance the given equation. 76 * 34 * 23 * 12 * 6 * 21
Option 1: +, –, +, ÷, =
Option 2: –, –, +, +, =
Option 3: ×, –, +, ÷, =
Option 4: –, –, +, ÷, =
Correct Answer: –, –, +, ÷, =
Solution : Given: 76 * 34 * 23 * 12 * 6 * 21
On replacing * with the mathematical signs, we get – First option: +, –, +, ÷, = ⇒ 76 + 34 – 23 + 12 ÷ 6 = 21
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