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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Directions: By folding the given paper, which of the following boxes cannot be made?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 14th Jan, 2024

Correct Answer:


Solution : The opposite pairs of faces are as follows –

So, in the 3D view of dice, 
1. Each face out of three faces in 3D view should be from the pair.
2. Two opposite faces cannot appear adjacently in the 3D view of a folded dice.

18 Views

Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 20th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the fourth option figure.

Hence, the fourth option is

19 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
I have read that / a Leaning Tower of Pisa is a / popular tourist attraction / in the world.

Option 1: I have read that

Option 2: a Leaning Tower of Pisa is a

Option 3: popular tourist attraction

Option 4: in the world

Team Careers360 7th Jan, 2024

Correct Answer: a Leaning Tower of Pisa is a


Solution : The correct choice is the second option.

The article "a" before "Leaning Tower of Pisa" is incorrect. The correct article is "the" because we are referring to one of the monuments of the world.

So, the correct sentence would

6 Views

Question : Let ABC be a right-angled triangle where $\angle \mathrm{A}=90^{\circ}$ and $\angle \mathrm{C}=45^{\circ}$. Find the value of $\sec \mathrm{C}+\sin \mathrm{C} \sec \mathrm{C}$.

Option 1: $1$

Option 2: $1-\sqrt{2}$

Option 3: $1+\sqrt{2}$

Option 4: $\sqrt{2}-1$

Team Careers360 4th Jan, 2024

Correct Answer: $1+\sqrt{2}$


Solution : The value of $\angle C = 45°$
$\sec C = \sec 45° = \sqrt{2}$
$\sin C = \sin 45° = \frac{1}{\sqrt{2}}$
Now, $\sec \mathrm{C}+\sin \mathrm{C} \sec \mathrm{C}$
$=\sqrt{2}+ \frac{1}{\sqrt{2}} \times \sqrt{2}$
$= \sqrt{2}+1$
Hence, the correct answer is $1+\sqrt{2}$.

11 Views

Question : Select the word that is opposite in meaning (ANTONYM) to the word given below.
Frighten

Option 1: Startle

Option 2: Petrify

Option 3: Alarm

Option 4: Reassure

Team Careers360 19th Jan, 2024

Correct Answer: Reassure


Solution : The correct choice is the fourth option.

Explanation: In this context, the term frighten refers to causing fear or making someone afraid. Among the options provided, reassure is the correct antonym, as it means to do the opposite, to provide comfort, ease, or confidence

214 Views

Question : The cost of 3 cups and 5 plates is INR 1,080 and the cost of 2 cups and 4 plates is INR 840. Find the ratio of the cost of a cup to the cost of a plate.

Option 1: 1 : 3

Option 2: 2 : 3

Option 3: 1 : 1

Option 4: 1 : 2

Team Careers360 8th Jan, 2024

Correct Answer: 1 : 3


Solution : Let the cost of 1 cup be $x$ and the cost of 1 plate be $y$>
So, according to the question, the equations formed are
3$x$ + 5$y$ = 1080............(equation 1)
And, 2$x$ + 4$x$ = 840.............(equation 2)
Multiplying equation 1 by 2

10 Views

Question : What is the value of $\frac{3 \cos 62^{\circ}}{\sin 28^{\circ}}-\frac{2 \tan 34^{\circ}}{\cot 56^{\circ}} ?$

Option 1: 3

Option 2: 1

Option 3: 5

Option 4: 4

Team Careers360 20th Jan, 2024

Correct Answer: 1


Solution : We know that $\sin(90^{\circ} - \theta) = \cos \theta$ and $\cot(90^{\circ} - \theta) = \tan \theta$
$\frac{3 \cos 62^{\circ}}{\sin 28^{\circ}}-\frac{2 \tan 34^{\circ}}{\cot 56^{\circ}} $
$=\frac{3 \cos 62^{\circ}}{\sin (90-62)^{\circ}}-\frac{2 \tan 34^{\circ}}{\cot (90-34)^{\circ}} $
$= \frac{3 \cos 62^{\circ}}{\cos 62^{\circ}}-\frac{2 \tan 34^{\circ}}{ \tan 34^{\circ}}$
$=3 - 2 $

18 Views

Question : The marked price of an item is Rs. 200. On the purchase of 1 item, the discount is 5% and on the purchase of 2 items the discount is 14%. Rajshree buys 3 items. What is the effective discount?

Option 1: 37%

Option 2: 26.25%

Option 3: 11%

Option 4: 30.2%

Team Careers360 15th Jan, 2024

Correct Answer: 11%


Solution : Marked price of an item = Rs. 200
Amount saved on buying 1 item = 5% of Rs. 200 = Rs. 10
⇒ Marked price of 2 items = 2 × Rs. 200 = Rs. 400
Amount saved on buying 2 items = 14% of

15 Views

Question : If $\tan A=\frac{1}{2}$ and $\tan B=\frac{1}{3}$, then the value of $A+B$ is:

Option 1: $60^\circ$

Option 2: $15^\circ$

Option 3: $30^\circ$

Option 4: $45^\circ$

Team Careers360 14th Jan, 2024

Correct Answer: $45^\circ$


Solution : Given: $\tan A=\frac{1}{2}$ and $\tan B=\frac{1}{3}$
We know that $\tan(A+B)=\frac{\tan A +\tan B}{1-\tan A \tan B}$
⇒ $\tan(A+B)= \frac{\frac{1}{2}+\frac{1}{3}}{1-\frac{1}{2}\times\frac{1}{3}}$
⇒ $\tan(A+B)=1$
$\therefore(A+B)= \frac{\pi}{4}=45 ^\circ$
Hence, the correct answer is $45^\circ$.

19 Views

Question : Select the option that expresses the following sentence in active voice.
The meeting was called off.

Option 1: The meeting had been called off.

Option 2: They called off the meeting.

Option 3: Someone called off the meeting.

Option 4: They were calling off the meeting.

Team Careers360 23rd Jan, 2024

Correct Answer: They called off the meeting.


Solution : The correct choice is the second option.

In active voice, the subject acts as the doer of the action. In this case, "they" (the subject) are acting on calling off the meeting. 

The active voice in the case of the simple

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