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Staff Selection Commission Combined Graduate Level Exam

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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:

Team Careers360 21st Jan, 2024

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

15 Views

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: $\frac{3}{4}$

Team Careers360 21st Jan, 2024

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 $-\frac{5}{4}$.

16 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


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.

13 Views

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

Team Careers360 23rd Jan, 2024

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

13 Views

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

Team Careers360 24th Jan, 2024

Correct Answer: unless


Solution : The fourth option is correct.

  • Let us explore the given options:
    • The adverb "still" means even now (or then) as formerly.
    • The adverb "whenever" means at whatever time or on whatever occasion.
    • The conjunction "unless" means except if (used to
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Question : Directions: Select a suitable figure from the answer figures that would replace the question mark (?).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 17th Jan, 2024

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

56 Views

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

Team Careers360 20th Jan, 2024

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}

13 Views

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: $0$

Team Careers360 23rd Jan, 2024

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 $0$.

16 Views

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

Team Careers360 22nd Jan, 2024

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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