Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the correct equation after interchanging operations + and – and numbers 4 and 8.
Option 1: 2 + 8 – 4 = 9
Option 2: 8 + 4 – 2 = 10
Option 3: 4 – 8 + 11 = 1
Option 4: 4 – 8 + 11 = 8
Correct Answer: 4 – 8 + 11 = 1
Solution : Let's check each option – First Option: 2 + 8 – 4 = 9 On interchanging the mathematical signs and numbers, we get – 2 – 4 + 8 = 9 L.H.S. = 2 – 4 + 8 =
Question : Directions: One day, 90 students were traveling in a bus and the ratio of the number of boys to girls was 2: 1. The next day, the number of students remained the same, but the ratio of the number of boys to girls became 3: 2. What was the difference between the numbers of boys traveling in the bus on both the days?
Option 1: 18
Option 2: 6
Option 3: 14
Option 4: 30
Correct Answer: 6
Solution : Given: 90 students were traveling in a bus and the ratio of the number of boys to that of girls was 2: 1 According to the question, 2x + x = 90 3x = 90 x = 90 ÷ 3 x = 30 Therefore, Number
Question : Directions: Find the missing number from the given responses in the following question.
Option 1: 5052
Option 2: 5100
Option 3: 5094
Option 4: 4860
Correct Answer: 5100
Solution : Multiply the given numbers by 3 and then add 6 to the resultant number to obtain the next number (pattern starting from 18).
(18 × 3) + 6 = 54 + 6 = 60 (60 × 3) + 6 = 180 + 6 = 186
Question : What is the simplified value of: $\frac{1}{8}\left\{\left(x+\frac{1}{y}\right)^2-\left(x-\frac{1}{y}\right)^2\right\}$
Option 1: $\frac{x}{y}$
Option 2: $\frac{2x}{y}$
Option 3: $\frac{x}{2y}$
Option 4: $\frac{4x}{y}$
Correct Answer: $\frac{x}{2y}$
Solution : $\frac{1}{8}\left\{\left(x+\frac{1}{y}\right)^2-\left(x-\frac{1}{y}\right)^2\right\}$ $=\frac{1}{8}(x^2 +\frac{1}{y^2} + 2×x×\frac{1}{y} - x^2 - \frac{1}{y^2} + 2×x×\frac{1}{y})$ $=\frac{1}{8}(\frac{4x}{y})$ $=\frac{x}{2y}$ Hence, the correct answer is $\frac{x}{2y}$.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at line MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close 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 : Directions: Select the option that represents the letters which, when sequentially placed from left to right in the blanks below, will complete the letter series. F _ _ Y _ _ K B _ O F _ B Y _
Option 1: O F K B O Y K
Option 2: B Y O K F O K
Option 3: K B O F Y K O
Option 4: Y O K B F O K
Correct Answer: K B O F Y K O
Solution : Given: F _ _ Y _ _ K B _ O F _ B Y _
To fill the series we have to divide the series – F _ _ Y _ / _ K B _ O /
Question : The following table represents the population of four different areas and the percentage of males, females, and children among them.
What is the total number of children in areas P and Q together?
Option 1: 7000
Option 2: 9000
Option 3: 6000
Option 4: 8000
Correct Answer: 8000
Solution : The total number of children in areas P and Q together = Number of children in area P + number of children in area Q = 20% of 10,000 + 30% of 20,000 = $\frac{20}{100}\times10000+\frac{30}{100}\times 20000$ = $2000+6000$ = $8000$ Hence, the correct answer is
Question : If x + y + z = 8, and x2 + y2 + z2 = 20, then the value of x3 + y3 + z3 – 3xyz is _______.
Option 1: 16
Option 2: 10
Option 3: 15
Option 4: –16
Correct Answer: –16
Solution : (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz ⇒ 2(xy + yz + zx) = (x + y + z)2 – (x2 + y2 + z2) ⇒
Question : Select the option that will improve the underlined part of the given sentence. The use of chemicals, insecticides and pesticides began after the Green Revolution.
Option 1: A practice of chemicals, insecticides and pesticides
Option 2: The custom of chemicals, insecticides and pesticides
Option 3: Consumption of chemicals, insecticides and pesticides
Option 4: The usage of chemicals, insecticides and pesticides
Correct Answer: The usage of chemicals, insecticides and pesticides
Solution : The fourth option is the correct choice.
The change from "use" to "usage" is a subtle improvement, making the sentence more formal and grammatically accurate. Usage is a noun, while use can function as both a verb and a
Question : Who among the following had written the novel Coolie, that concentrated on social misery caused by inhumanity?
Option 1: R. K. Narayan
Option 2: Vijay Tendulkar
Option 3: V. S. Naipaul
Option 4: Mulk Raj Anand
Correct Answer: Mulk Raj Anand
Solution : The correct answer is Mulk Raj Anand.
"Coolie", a novel by Mulk Raj Anand, initially published in 1936, marked his second literary work and solidified his status as a prominent English author in India. It presents a scathing critique of British colonial rule
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