Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: By folding the given paper, which of the following boxes cannot be made?
Option 1:
Option 2:
Option 3:
Option 4:
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.
Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)
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
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
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
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: $\sqrt{2}-1$
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 $1+\sqrt{2}$.
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
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
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
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
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
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 $
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%
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
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: $45^\circ$
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 $45^\circ$.
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.
Correct Answer: They called off the meeting.
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
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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