Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer 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 MN). So, the left side of the reflected image will appear
Question : The marked price of a saree is Rs. 200. After allowing a discount of 20% on the marked price, the shopkeeper makes a profit of Rs.16. Find the gain percentage:
Option 1: $11\frac{1}{9}$%
Option 2: $9\frac{1}{11}$%
Option 3: $11$%
Option 4: $8$%
Correct Answer: $11\frac{1}{9}$%
Solution : Selling price = 200 - 200×$\frac{20}{100}$ = Rs. 160 Cost price = Selling price – Profit = 160 – 16 = Rs. 144 Gain % = $\frac{Gain}{\text{Cost price}}×100 = \frac{16}{144}×100=\frac{100}{9}$ = $11\frac{1}{9}$% Hence, the correct answer is $11\frac{1}{9}$%.
Question : If $a+\frac{1}{a}=\sqrt{3}$, then the value of $a^{18}+a^{12}+a^{6}+1$ is:
Option 1: 0
Option 2: 1
Option 3: –1
Option 4: 4
Correct Answer: 0
Solution : Given: $a^{18}+a^{12}+a^{6}+1$ = $a^{6}(a^{12}+1)+1(a^{12}+1)$ = $(a^{6}+1)(a^{12}+1)$-----------------------------------------------(i) Now, $a+\frac{1}{a} = \sqrt{3}$ Squaring both sides, $(a+\frac{1}{a})^2 = (\sqrt{3})^2$ ⇒ $(a)^2+(\frac{1}{a})^2+2×a×\frac{1}{a} = 3$ ⇒ $(a)^2+(\frac{1}{a})^2 = 3-2 = 1$ Cubing both sides, $((a)^2+(\frac{1}{a})^2)^3 = 1^3$ ⇒ $(a)^6+(\frac{1}{a})^6+3×((a)^2+(\frac{1}{a})^2) = 1^3$ ⇒ $(a)^6+(\frac{1}{a})^6 = 1 - 3$ ⇒ $\frac{((a)^{12}+1)}{(a)^6} =
Question : Who among the following was the architect of the Integrated Guided Missile Development Program (IGMDP) in India?
Option 1: Har Gobind Khorana
Option 2: Vikram Sarabhai
Option 3: A. P. J. Abdul Kalam
Option 4: Homi J. Bhabha
Correct Answer: A. P. J. Abdul Kalam
Solution : The correct answer is A. P. J. Abdul Kalam.
The Integrated Guided Missile Development Programme (IGMDP) was created by the well-known scientist A. P. J. Abdul Kalam. The ultimate goal was to become self-sufficient in missile technology. The programme realised that
Question : Directions: Looking at the portrait of a man, Ram said, "His mother is the wife of my father's son. Brothers and sisters I have none". Whose portrait was Ram looking at?
Option 1: His grandfather
Option 2: His son
Option 3: His brother
Option 4: His cousin
Correct Answer: His son
Solution : As per the given information, the family tree will be as follows –
Here, in the above diagram, the circular figure represents the female, and the quadrilateral represents the male.
So, from the above family tree, Ram was looking at the portrait of his
Question : If the radius of a cylinder is decreased by 50% and the height is increased by 50%, then the volume change is:
Option 1: 52.5%
Option 2: 67.5%
Option 3: 57.5%
Option 4: 62.5%
Correct Answer: 62.5%
Solution : The volume of a cylinder $V = \pi r^2 h$ where $r$ is the radius and $h$ is the height. The radius of the cylinder is decreased by 50%, the new radius is, $r' = r - 0.50r = 0.50r$ The height of the cylinder
Question : Directions: DNST is related to STDN in a certain way based on a certain relationship between the given letters. In the same way, RXMK is related to MKRX. To which of the following is WBGH related to following the same logic?
Option 1: HBWG
Option 2: WGHB
Option 3: WHBG
Option 4: GHWB
Correct Answer: GHWB
Solution : Given: DNST is related to STDN and RXMK is related to MKRX DNST is related to STDN – RXMK is related to MKRX –
Similarly, WBGH is related to –
So, the code for WBGH is GHWB. Hence, the fourth option is correct.
Question : Select the option that can be used as a one-word substitute for the underlined segment.
The schedule was capable of bending easily without breaking and able to be easily modified.
Option 1: adherent
Option 2: inadaptable
Option 3: versatile
Option 4: flexible
Correct Answer: flexible
Solution : The correct choice is the fourth option.
The term flexible captures the idea that the schedule can bend easily without breaking and is easily modifiable.
Flexible: It describes the quality of being adaptable and able to change or adjust easily in response to different circumstances.
Question : Directions: In the given 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.
No parents can ___ to see their ward waste their potential.
Option 1: visualise
Option 2: predict
Option 3: envisage
Option 4: afford
Correct Answer: afford
Solution : The fourth option is the correct choice.
In this context, afford means that parents cannot bear or tolerate the idea of their child wasting their potential. The other options don't fit the sentence's meaning as well.
The meanings of the other options are as follows:
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given letter series will complete the series. ab_eea_bc_eaaa_cee
Option 1: aecc
Option 2: caeb
Option 3: caec
Option 4: ccae
Correct Answer: caeb
Solution : Given: ab_eea_bc_eaaa_cee
First, divide the series into parts→ab_ee / a_bc_e / aaa_cee Let's check the given options – First option: aecc; abaee / aebcce / aaaccee (No repeated pattern found.) Second option: caeb; abcee /
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