Staff Selection Commission Combined Higher Secondary Level Exam
Question : Which one of the following is not a feature of the indifference curve?
Option 1: They do not intersect each other.
Option 2: They slope downwards to the light.
Option 3: They are parallel to each other.
Option 4: They are concave to each other.
Correct Answer: They are concave to each other.
Solution : The correct answer is They are concave to each other.
An indifference curve is a chart illustrating combinations of two goods that consumers find equally satisfying. The four properties are: indifference curves never cross; they always slope downwards, indicating
Question : The arrangement of the fractions $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ in ascending order is _____.
Option 1: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$
Option 2: $–\frac{7}{8}, –\frac{2}{9}, \frac{4}{3}, \frac{5}{12}$
Option 3: $–\frac{2}{9}, –\frac{7}{8}, \frac{5}{12}, \frac{4}{3}$
Option 4: $–\frac{2}{9}, –\frac{7}{8}, \frac{4}{3}, \frac{5}{12}$
Correct Answer: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$
Solution : $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ LCM of (3, 9, 8 and 12) = 72 Multiply 72 with each fraction, We get 96, –16, –63, 30 In ascending order (– 63 < – 16 < 30 < 96) ⇒ $-\frac{7}{8}, -\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$ Hence,
Question : Given below are four jumbled sentences. Pick the option that gives their correct order.
Mount Everest is a peak in the Himalayas mountain range. P. It is located between Nepal and Tibet, an autonomous region of China. Q. At 8,849 meters (29,032 feet), it is considered the tallest point on Earth. R. In the nineteenth century, the mountain was named after George Everest, a former Surveyor General of India. S. The Tibetan name is Chomolungma, which means “Mother Goddess of the World.”
The Nepali name is Sagarmatha, which has various meanings.
Option 1: PQRS
Option 2: SPQR
Option 3: SRQP
Option 4: RPSQ
Correct Answer: PQRS
Solution : The correct answer is the first option.
The given sentences are already in the correct sequence.
Sentence P: This sentence introduces the geographical location of Mount Everest, providing essential information about its position in the Himalayas.
Sentence Q: Following the introduction of its location, this
Question : $\Delta ABC$ and $\Delta DEF$ are similar. Also $\angle A=\angle D$ and $\angle B=\angle E$. If $4AB=DE$ and $BC=\operatorname{12 cm}$, then $EF$ is equal to:
Option 1: $\operatorname{3 cm}$
Option 2: $\operatorname{24 cm}$
Option 3: $\operatorname{16 cm}$
Option 4: $\operatorname{48 cm}$
Correct Answer: $\operatorname{48 cm}$
Solution :
Given that $\Delta ABC\sim\Delta DEF$ and $4AB = DE$ Since the triangles are similar, the ratios of their corresponding sides are equal. $\frac{BC}{EF} = \frac{AB}{DE}$ $⇒\frac{12}{EF} = \frac{AB}{4AB}=\frac{1}{4}$ $\therefore EF = 12×4 = \operatorname{48 cm}$ Hence, the correct answer is $\operatorname{48 cm}$.
Question : Life originated by chemosynthesis was proved in the laboratory by:
Option 1: Frederick Sanger
Option 2: Louis Pasteur
Option 3: Stanley Miller
Option 4: Aristotle
Correct Answer: Stanley Miller
Solution : The correct answer is Stanley Miller.
In the laboratory, Stanley Miller and Harold Urey demonstrated that life began with chemosynthesis. Miller and Urey undertook an experiment in 1952 to recreate the circumstances that occurred on early Earth. They put water, methane, ammonia, and hydrogen
Question : If the phase difference between two points is 1200 for a wave with a velocity of 360 m/s and a frequency of 500 Hz, then the path difference between the two points is:
Option 1: 1 cm
Option 2: 6 cm
Option 3: 12 cm
Option 4: 24 cm
Correct Answer: 24 cm
Solution : The correct option is 24cm.
Wavelength (λ ) can be calculated by dividing the velocity (v) of the wave by the wave frequency (f)
λ = v/f
λ = 360/500 = 0.72
φ= path difference
The path difference between the two points is
Question : If the simple interest on INR 2,500 is more than the interest on INR 1,500 by INR 360 in 3 years, then find the rate of interest per annum.
Option 1: 11%
Option 2: 9%
Option 3: 10%
Option 4: 12%
Correct Answer: 12%
Solution : Let $R$ be the rate of interest. Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ Simple interest on INR 2,500 after 3 years = $\frac{2500×3×R}{100}$ Simple interest on INR 1,500 after 3 years = $\frac{1500×3×R}{100}$ According to the question, $\frac{1500×3×R}{100}$ + 360 = $\frac{2500×3×R}{100}$ ⇒
Question : Directions: If 28373 is coded as 4166146 in a coding system, then how will 19351 be coded in the same coding system?
Option 1: 2186210
Option 2: 2186102
Option 3: 2813620
Option 4: 2180619
Correct Answer: 2186102
Solution : Given: 28373 is coded as 4166146.
Multiply each digit of the 28373 by 2, to get the required code – 2 × 2 = 4; 8 × 2 = 16; 3 × 2 = 6; 7 × 2 = 14; 3 × 2 = 6
Question : Directions: Find the missing number from the given responses.
Option 1: 68
Option 2: 65
Option 3: 55
Option 4: 60
Correct Answer: 65
Solution : Here, multiply the number by 2 and subtract 1 in the clockwise direction to get the next number. Like, 17 = 9 × 2 – 1 And, 33 = 17 × 2 – 1 Similarly, 33 × 2 – 1 = 65
So, the missing
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