Staff Selection Commission Combined Higher Secondary Level Exam
Question : In a showroom, the ratio of TVs and rice cookers is 2 : 3. Find the percentage of rice cookers in the showroom.
Option 1: 40%
Option 2: 30%
Option 3: 60%
Option 4: 50%
Correct Answer: 60%
Solution : Given: The ratio of TVs and rice cookers is 2 : 3. Let the amount of TVs be 2x and rice cookers be 3x. Sum of TVs and rice cookers = 2x + 3x = 5x $\therefore$ Percentage of rice cookers = $\frac{3x}{5x}\times100= 60\%$ Hence,
Question : How many numbers are there from 17 to 457 which are divisible by both 5 and 3?
Option 1: 29
Option 2: 35
Option 3: 30
Option 4: 33
Correct Answer: 29
Solution : Numbers from 17 to 457 which are divisible by both 5 and 3 = multiples of 15 greater than 17 and lesser than 457 = 30, 45,......450 = (15 × 2), (15 × 3),........(15 × 30) Total number = 2nd term to 30th term =
Question : If $\left(4y-\frac{4}{y}\right)=11$, find the value of $\left(y^2+\frac{1}{y^2}\right)$.
Option 1: $7 \frac{9}{16}$
Option 2: $5 \frac{9}{16}$
Option 3: $9 \frac{11}{16}$
Option 4: $9 \frac{9}{16}$
Correct Answer: $9 \frac{9}{16}$
Solution : Given: $(4 y-\frac{4}{y})=11$ ⇒ $(y-\frac{1}{y})=\frac{11}{4}$ Squaring both sides, we get: $(y-\frac{1}{y})^2=\frac{121}{16}$ ⇒ $y^2+\frac{1}{y^2}-2×y×\frac{1}{y}=\frac{121}{16}$ ⇒ $y^2+\frac{1}{y^2} = \frac{121}{16} +2$ $= \frac{121+32}{16}$ $= \frac{153}{16}$ $= 9\frac{9}{16}$ Hence, the correct answer is $9\frac{9}{16}$.
Question : Which among the following generations of computers used vacuum tubes?
Option 1: Fourth Generation
Option 2: Third Generation
Option 3: First Generation
Option 4: Second Generation
Correct Answer: First Generation
Solution : The correct option is First Generation.
First-generation computers, including ENIAC and UNIVAC I, used vacuum tubes for electronic circuitry. Vacuum tubes were later replaced by transistors in the Second Generation, leading to improvements in reliability, size, and power consumption.
Question : Select the word that is closest in meaning (SYNONYM) to the word given below. Attune
Option 1: Assimilate
Option 2: Estrange
Option 3: Skew
Option 4: Disrupt
Correct Answer: Assimilate
Solution : The first option is correct.
Attune: This word means to bring into harmony or accord, to adjust or adapt, especially in terms of ideas, feelings, or actions.
Assimilate: This synonym also involves the idea of adjusting or adapting, but specifically, it means to take in
Question : The curved surface area of a right circular cone of diameter $42 \ \text{cm}$ is $990 \ \text{cm}^2$. What is the slant height (in${\ \text{cm}})$ of the cone? [Use $\pi=\frac{22}{7}$]
Option 1: 10
Option 2: 15
Option 3: 24
Option 4: 12
Correct Answer: 15
Solution : Diameter = $42 ~cm$ Radius, $r$ = $21 ~cm$ Let $l$ be the slant height. Curved surface area of a right circular cone = $990 \ \text{cm}^2$ ⇒ $\pi r l = 990$ ⇒ $\frac{22}{7}×21×l = 990$ ⇒ $l$ = $\frac{990}{66} = 15 \ \text{cm}$
Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements. Statements: All shoes are feet. Some shoes are boxes. All boxes are houses. Conclusions: (I) Some houses are shoes. (II) Some feet are boxes.
Option 1: Both conclusions (I) and (II) do not follow
Option 2: Only conclusion (I) follows
Option 3: Both conclusions (I) and (II) follow
Option 4: Only conclusion (II) follows
Correct Answer: Both conclusions (I) and (II) follow
Solution : According to the above statements, the following Venn diagram can be drawn –
Let's analyse the conclusions – Conclusion I: Some houses are shoes – From the above diagram, it can be seen that the circle representing shoes intersect the
Question : Directions: Based on the alphabetical order, three of the following four-letter clusters are alike in a certain way and thus form a group. Which of the following does NOT belong to that group?
Option 1: SVT
Option 2: KML
Option 3: DGE
Option 4: NQO
Correct Answer: KML
Solution : Let's check the options – First option: SVT→S + 3 = V; V – 2 = T Second option: KML→K + 2 = M; M – 1 = L Third option: DGE→D + 3 = G; G – 2 = E Fourth option: NQO→N +
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).
Be quick otherwise you would miss the train.
(1) otherwise you could have
(2) otherwise you will have
(3) otherwise you will
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The third option is the correct answer.
According to the first conditional, the first clause should be in the simple present tense followed by the other in the simple future tense.
Therefore, the correct answer is: Be quick otherwise you will miss the train.
Question : Select the option that expresses the following sentence in the superlative degree of comparison.
It looks like our bad fears are coming true.
Option 1: No change required
Option 2: The worse fears are coming back it seems so.
Option 3: It looks like our worst fears are coming true.
Option 4: The fears with bad thoughts come back.
Correct Answer: It looks like our worst fears are coming true.
Solution : The correct choice is the third option.
The superlative degree of comparison is used to express the highest level of quality. In this case, the sentence discusses fears, and to convey the most extreme level, the superlative
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