Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the correct mirror image of the given figure, when the mirror is placed at AB as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : If $\sin A=-\frac{3}{5}, A$ lies in III quadrant, the value of $\sec A$ is:
Option 1: $-\frac{4}{5}$
Option 2: $-\frac{5}{4}$
Option 3: $-\frac{3}{4}$
Option 4: $\frac{3}{4}$
Correct Answer: $-\frac{5}{4}$
Solution : $\sin A=-\frac{3}{5}$ So, $\cos A = \sqrt{1-\sin^2 A}$ ⇒ $\cos A= \sqrt{1-(\frac{3}{5})^2}$ ⇒ $\cos A = \sqrt\frac{16}{25}$ $\therefore\cos A= \pm \frac{4}{5}$ Since it is 3rd quadrant, $\cos A = -\frac{4}{5}$ $\therefore\sec A = -\frac{5}{4}$ Hence, the correct answer is $-\frac{5}{4}$.
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Solution : In the given figures, as we move from one to another, the number of triangles in each box increases by 1. Therefore, the next box will have 5 triangles. So, the next box in the series will be –
Hence, the second option is correct.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
The revolt of 1857 happened (during the rein of) bahadur shah zafar.
(1) in the rein off
(2) in the reign of
(3) during the reign of
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: The correct form should be "during the reign of", where "reign" is the appropriate term to refer to the period of Bahadur Shah Zafar's rule.
So, the correct sentence would be: "The revolt of 1857
Question : Directions: Select the option that represents the correct order of the given words as they would appear in the English dictionary. 1. Breakdown 2. Brevity 3. Breathe 4. Breeding 5. Breeze 6. Breakfast
Option 1: 1, 3, 6, 4, 5, 2
Option 2: 1, 6, 3, 4, 5, 2
Option 3: 1, 3, 6, 5, 4, 2
Option 4: 1, 6, 3, 5, 4, 2
Correct Answer: 1, 6, 3, 4, 5, 2
Solution : Given: 1. Breakdown 2. Brevity 3. Breathe 4. Breeding 5. Breeze 6. Breakfast
Step 1: Compare the first letter of each word. Since all the words start with the same letter B, move on to the next letter. Step
Question : Select the most appropriate option to fill in the blank. The police will regard it as an accident ______ any evidence to the contrary is found.
Option 1: still
Option 2: whenever
Option 3: otherwise
Option 4: unless
Correct Answer: unless
Solution : The fourth option is correct.
Question : Directions: Select a suitable figure from the answer figures that would replace the question mark (?).
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.
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