Staff Selection Commission Sub Inspector Exam
Question : Directions: Which of the option figures is the exact mirror image of the given problem figure when the mirror is held on the right side?
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 AB). So, the left side of the reflected image will appear
Question : If $\frac{1}{x^{2}}+x^{2}$ represents the radius of circle $P$ and $\frac{1}{x}+x=17$, which of the following best approximates the circumference of circle $P$?
Option 1: $287\pi$
Option 2: $547\pi$
Option 3: $574\pi$
Option 4: $278\pi$
Correct Answer: $574\pi$
Solution : Given: $\frac{1}{x}+x=17$ Squaring both sides, we have, ⇒ $(\frac{1}{x}+x)^{2}=17^{2}$ ⇒ $\frac{1}{x^{2}}+x^{2}+2=289$ ⇒ $\frac{1}{x^{2}}+x^{2}=287$ Circumference of circle $P$ = $2\pi r$ = $2×\pi ×287$ = $574\pi $ Hence, the correct answer is $574\pi $.
Question : If $\frac{3x-1}{x}+\frac{5y-1}{y}+\frac{7z-1}{z}=0$, what is the value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}?$
Option 1: –3
Option 2: 0
Option 3: 15
Option 4: 21
Correct Answer: 15
Solution : Given: $\frac{3x-1}{x}+\frac{5y-1}{y}+\frac{7z-1}{z}=0$ ⇒$3-\frac{1}{x}+5-\frac{1}{y}+7-\frac{1}{z}=0$ ⇒$\frac{1}{x} + \frac{1}{y}+\frac{1}{z}= 3+5+7=15$ Hence, the correct answer is 15.
Question : Directions: Select the correct option that indicates the arrangement of the following terms in a logical and meaningful order. 1. Answer writing 2. Answer book 3. Admit card 4. Question paper 5. Examination form
Option 1: 3–5–2–4–1
Option 2: 5–3–2–4–1
Option 3: 3–2–4–1–5
Option 4: 5–2–3–1–4
Correct Answer: 5–3–2–4–1
Solution : Given: 1. Answer writing 2. Answer book 3. Admit card 4. Question paper 5. Examination form
The stages for writing an exam are as follows – First, a student has to fill out the examination form, then after successfully submitting of exam form a student
Question : Directions: If + means ÷, – means +, × means – and ÷ means ×, then what will come in place of (?) in the given equation? 5 ÷ 2 – 20 + 5 × 2 = ?
Option 1: 12
Option 2: 15
Option 3: 20
Option 4: 10
Correct Answer: 12
Solution : Given + means ÷, – means +, × means – and ÷ means × 5 ÷ 2 – 20 + 5 × 2 = ?
After interchanging the symbols the equation becomes – = 5 × 2 + 20 ÷ 5 – 2 = 10
Question : Which of the following types of soil is best suited for cotton cultivation ?
Option 1: Black
Option 2: Red
Option 3: Laterite
Option 4: Mountain
Correct Answer: Black
Solution : The correct option is Black.
Because of its high nutrient content, good moisture retention, appropriate drainage, loamy texture, and favourable pH levels, black soil, also known as regur or black cotton soil, is an ideal soil type for cotton growth. These characteristics create an ideal
Question : Arrange the given ratios in descending order 15 : 7, 5 : 11, and 21 : 77.
Option 1: 21 : 77 > 5 : 11 > 15 : 7
Option 2: 15 : 7 > 5 : 11 > 21 : 77
Option 3: 15 : 7 > 21 : 77 > 5 : 11
Option 4: 5 : 11 > 15 : 7 > 21 : 77
Correct Answer: 15 : 7 > 5 : 11 > 21 : 77
Solution : Given: 15 : 7, 5 : 11, and 21 : 77 15 : 7 = $\frac{15}{7}$ = $\frac{165}{77}$ 5 : 11 = $\frac{5}{11}$ = $\frac{35}{77}$ 21 : 77 = $\frac{21}{77}$ $\therefore$ Arranging in descending order,
Question : The marked price of an article is Rs. 250. After allowing two successive discounts of 20% and $x$% on the marked price, it is sold for Rs. 185.60. What is the value of $x$?
Option 1: 8.4%
Option 2: 7.2%
Option 3: 6.8%
Option 4: 7.6%
Correct Answer: 7.2%
Solution : Given, MP of the article = Rs. 250 ⇒ SP of the article after getting 20% discount = $250 × \frac{80}{100}$ = 200 Also, Final SP of the article = Rs. 185.60 ⇒ Discount = 200 – 185.60 = 14.40 So, the discount percentage =
Question : Select the most appropriate phrase for the underlined segment in the given sentence.
She brought new ideas for the innovative promotion of the product.
Option 1: Draw on
Option 2: Swept off
Option 3: Came up with
Option 4: Carry off
Correct Answer: Came up with
Solution : The third option is correct.
Explanation: In the sentence, the context suggests that the person is introducing new ideas for the innovative promotion of the product. The phrase came up with is idiomatic and commonly used to denote the act of generating
Question : The pyramid of numbers in an aquatic ecosystem is _________.
Option 1: always inverted
Option 2: always upright
Option 3: partially inverted
Option 4: spindle-shaped
Correct Answer: always upright
Solution : The correct option is always upright.
In many aquatic ecosystems, the pyramid of numbers is mostly upright, meaning that the number of individuals at each trophic level is the same. The number of producers is somewhat similar to the number of consumers. This
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