Staff Selection Commission Sub Inspector Exam
Question : What is the value of $3^{2}+7^{2}+11^{2}+13^{2}+17^{2}-1^{2}-5^{2}-9^{2}-11^{2}-15^{2}?$
Option 1: 5
Option 2: 72
Option 3: 92
Option 4: 184
Correct Answer: 184
Solution : $3^{2}+7^{2}+11^{2}+13^{2}+17^{2}-1^{2}-5^{2}-9^{2}-11^{2}-15^{2}$ $= 9+49+121+169+289-1-25-81-121-225$ $=184$ Hence, the correct answer is 184.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Did he tell you (1) / why he hasn't (2) / come yesterday? (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The verb hasn't should be replaced with hadn't, as the past perfect tense is used to show an action that happened earlier than the other action in the past.
Therefore, the correct sentence is: "Did
Question : Directions: In the following question, which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the fourth option is correct.
Question : PQRS is a cyclic quadrilateral. If $\angle P$ is 4 times $\angle R$, and $\angle S$ is 3 times $\angle Q$, then the average of $\angle Q$ and $\angle R$ is:
Option 1: 40.5°
Option 2: 45.7°
Option 3: 90°
Option 4: 81°
Correct Answer: 40.5°
Solution : According to the question $\angle P$ = 4 × $\angle R$ The sum of the opposite angles in a cyclic quadrilateral is 180°. So, $\angle P$ + $\angle R$ = 180° ⇒ 4$\angle R$ + $\angle R$ = 180° ⇒ $\angle R$ = 36° Now,
Question : The sum of the odd divisors of 216 is:
Option 1: 16
Option 2: 14
Option 3: 40
Option 4: 600
Correct Answer: 40
Solution : Given that the number is 216. $216 = 2^3 \times 3^3$ To find the odd factors, we simply remove the higher power terms of 2. $\therefore$ Sum of odd divisors = $(2^0) (3^0 + 3^1 + 3^2 + 3^3)= 1 \times 40 = 40$ Hence,
Question : Who among the following has been conferred the prestigious MP Birla Memorial Award 2019?
Option 1: Narasimhaiengar Mukunda
Option 2: Shiraz Minwalla
Option 3: Abhas Mitra
Option 4: Thanu Padmanabhan
Correct Answer: Thanu Padmanabhan
Solution : The correct option is Thanu Padmanabhan.
Physicist Thanu Padmanabhan was honoured with the M. P. Birla Memorial Award in 2019 for his significant contributions to cosmology. Serving as a professor at the Inter-University Centre for Astronomy and Astrophysics located in Pune, Padmanabhan's work
Question : During the year 1991-92, the industrial production recorded a ___________ growth of __________.
Option 1: negative; 1.1%
Option 2: positive; 0.6%
Option 3: positive; 1.1%
Option 4: negative; 0.9%
Correct Answer: positive; 0.6%
Solution : The correct answer is positive; 0.6%.
During the years 1991–92, industrial production recorded a positive growth of 0.6%. The New Industrial Policy of 1991 was implemented to liberate the industry from the shackles of the licensing system. The aim was to increase the
Question : The LCM of 8, 12, and 18 is:
Option 1: 24
Option 2: 80
Option 3: 72
Option 4: 36
Correct Answer: 72
Solution : Given numbers: 8, 12, and 18 We can write, 8 = 2 × 2 × 2 12 = 2 × 2 × 3 18 = 2 × 3 × 3 ⇒ LCM = 2 × 2 × 2 × 3 × 3 = 72 Hence,
Question : If '+' means ÷, '×' means '–', '÷ means '×', '–' means '+'. What will be the value of the expression 9 + 3 ÷ 4 – 8 × 2 =?
Option 1: $6\frac{1}{4}$
Option 2: $6\frac{3}{4}$
Option 3: $-1\frac{3}{4}$
Option 4: 18
Correct Answer: 18
Solution : Given: 9 + 3 ÷ 4 – 8 × 2 Changing the signs, we get: 9 ÷ 3 × 4 + 8 – 2 = 3 × 4 + 8 – 2 = 12 + 8 – 2 = 20 – 2 = 18 Hence,
Question : Wheatstone bridge is an arrangement of _________ resistors used for accurate measurement of resistance.
Option 1: three
Option 2: six
Option 3: five
Option 4: four
Correct Answer: four
Solution : The correct answer is four.
A Wheatstone bridge consists of four arms, or resistors, where two arms have their ratio maintained at a fixed value, and the other two arms, or resistors, are left without any fixed value. This leaves the remaining arms balanced, with
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