Staff Selection Commission Combined Higher Secondary Level Exam
Question : A shopkeeper marks his goods at 90% more than their cost price and allows a discount of 40% on the marked price. His gain percentage is:
Option 1: 18%
Option 2: 16%
Option 3: 14%
Option 4: 12%
Correct Answer: 14%
Solution : Let $100x$ be the cost price. Marked price = $100x$ + 90% of $100x$ = $190x$ Discount = 40% of marked price = 40% of $190x$ = $76x$ Selling price = Marked price – Discount = $190x-76x$ = $114x$ Gain = $114x-100x$ = $14x$ Gain
Question : Directions: In the following question, select the related letters from the given alternatives. LY : OB :: MZ : ?
Option 1: YL
Option 2: PC
Option 3: KO
Option 4: BC
Correct Answer: PC
Solution : Given: LY : OB :: MZ : ?
Add 3 to the place value of each letter of the given term, to obtain the required term – Like, LY : OB→L + 3 = O; Y + 3 = B Thus, LY is coded as
Question : Which state has the highest sex ratio, as per the 2011 Census?
Option 1: Mizoram
Option 2: Nagaland
Option 3: Manipur
Option 4: Kerala
Correct Answer: Kerala
Solution : The correct option is Kerala.
As per the 2011 Census, the state of Kerala had the highest sex ratio in India. The sex ratio in Kerala was 1084 females for every 1000 males, indicating a relatively higher proportion of females in the state's population
Question : The angle of elevation of the top of a tower from a point on the ground is 30° and moving 70 m towards the tower it becomes 60°. The height of the tower is:
Option 1: $10$ m
Option 2: $\frac{10}{\sqrt{3}}$ m
Option 3: $10\sqrt{3}$ m
Option 4: $35\sqrt{3}$ m
Correct Answer: $35\sqrt{3}$ m
Solution : Let $AB$ be the tower and $C$ and $D$ be the point of observation. $AB = h$ and CD = 70 m In $\triangle ABD$, $\frac{AB}{BD}=\tan$ 60° ⇒ $\frac{AB}{BD}=\sqrt3$ ⇒ $BD = \frac{AB}{\sqrt3}$ ⇒ $BD=\frac{h}{\sqrt3}$ In $\triangle ABC$, $\frac{AB}{BC}= \tan$ 30° ⇒ $\frac{AB}{BC}= \frac{1}{\sqrt3}$
Question : In August 2022, the Indian Air Force participated in a bilateral exercise named "Udarashakti," which was hosted by ______.
Option 1: UAE
Option 2: France
Option 3: Malaysia
Option 4: USA
Correct Answer: Malaysia
Solution : The correct option is Malaysia.
The Indian Air Force participated in the bilateral exercise named "Udarashakti" in August 2022, hosted by Malaysia. It was a four-day exercise aimed at enhancing defence cooperation and sharing best practices between the two Air Forces. The exercise involved
Question :
Directions: In the following question, select the related word from the given alternatives. Iron Man of India : Sardar Vallabhbhai Patel :: Father of the Nation : ?
Option 1: Lokmanya Tilak
Option 2: Rajiv Gandhi
Option 3: Jawahar Lal Nehru
Option 4: Mahatma Gandhi
Correct Answer: Mahatma Gandhi
Solution : Given: Iron Man of India : Sardar Vallabhbhai Patel :: Father of the Nation : ?
"Iron Man of India" is associated with Sardar Vallabhbhai Patel. Similarly, "Father of the Nation" is associated with Mahatma Gandhi.
Hence, the fourth option is correct.
Question : If $\sqrt[3]{a}+\sqrt[3]{b}=\sqrt[3]{c}$, then the simplest value of $\left (a+b+c \right )^{3}+27abc$ is:
Option 1: $-1$
Option 2: $3$
Option 3: $-3$
Option 4: $0$
Correct Answer: $0$
Solution : Given: $\sqrt[3]{a} + \sqrt[3]{b} = \sqrt[3]{c}$ ⇒ $\sqrt[3]{a} + \sqrt[3]{b} - \sqrt[3]{c} = 0$ We know that if $x+y+z=0$, $ x^3+y^3+z^3=3xyz$ $\therefore \ a + b - c = -3\left(abc\right)^{\frac{1}{3}}$ On cubing both sides, ⇒ $(a+b-c)^3=-27abc$ $\therefore (a + b - c)^3 + 27abc=0$ Hence,
Question : Directions: Three of the following four clusters are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group?
Option 1: BEF
Option 2: SUV
Option 3: KNO
Option 4: XAB
Correct Answer: SUV
Solution : Let's check each option – First option: BEF; B + 3 = E; E + 1 = F Second option: SUV; S + 2 = U; U + 1 = V Third option: KNO; K + 3 = N; N + 1 = O
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (13, 14, 108) (51, 12, 252)
Option 1: (17, 14, 134)
Option 2: (29, 14, 172)
Option 3: (19, 26, 160)
Option 4: (33, 42, 280)
Correct Answer: (29, 14, 172)
Solution : Given: (13, 14, 108); (51, 12, 252)
Multiply the sum of the first and second numbers by 4, to get the third number – (13, 14, 108)→(13 + 14) × 4 = 27 × 4 = 108 (51, 12, 252)→(51 + 12) ×
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The medicine must be take by you.
(1) takes
(2) taken
(3) taking
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct answer.
The sentence should use the past participle "taken" in the passive voice to form the correct passive construction, "must be taken" as the past participle form of the verb is used in the passive voice. The other options
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