Staff Selection Commission Sub Inspector Exam
Question : If $x^2+\frac{1}{x^2}=98$, then the value of $x+\frac{1}{x}$ is:
Option 1: 10
Option 2: 8
Option 3: 7
Option 4: 9
Correct Answer: 10
Solution : $x^2+\frac{1}{x^2}=98$ $⇒x^2+\frac{1}{x^2}+2=100$ $⇒x^2+\frac{1}{x^2}+2×x×\frac{1}{x}=100$ $⇒(x+\frac{1}{x})^2=10^2$ $\therefore x+\frac{1}{x}=10$ Hence, the correct answer is 10.
Question : After successive discounts of 10% and 5%, an article was sold for Rs.342. What was the original price of the article?
Option 1: Rs. 400
Option 2: Rs. 342
Option 3: Rs. 300
Option 4: Rs. 442
Correct Answer: Rs. 400
Solution : Let the original price of the mobile be Rs. $x$. Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. Discount = $(10+5-\frac{50}{100}$)% = 14.5% Selling price of the article = $\frac{100-\text{Discount}\ \%}{100}$ × original price ⇒ $342 = \frac{100-14.5}{100} \times x$
Question : If a + b + c = 6 and a2 + b2 + c2 = 38, then what is the value of a(b2 + c2) + b(c2 + a2) + c(a2 + b2) + 3abc?
Option 1: 3
Option 2: 6
Option 3: –6
Option 4: –3
Correct Answer: –6
Solution :
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca ⇒ 62 = 38 + 2ab + 2bc + 2ca ⇒ (ab + bc + ca) = $\frac{(36 – 38)}{2}$ ⇒ (ab +
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: KNJZ
Option 2: FIEU
Option 3: MJLO
Option 4: SVRH
Correct Answer: MJLO
Solution : Let's check each option – First option: KNJZ; K + 3 = N; N – 4 = J; J – 10 = Z Second option: FIEU; F + 3 = I; I – 4 = E; E – 10 = U Third option: MJLO; M
Question : Who was/were the founder(s) of the Theosophical Society?
Option 1: H. P. Blavatsky and Colonel Olcott
Option 2: Madam Bhikaji Cama
Option 3: Annie Besant
Option 4: Charles W. Leadbeater and Emily Lutyens
Correct Answer: H. P. Blavatsky and Colonel Olcott
Solution : The correct answer is H. P. Blavatsky and Colonel Olcott.
The Theosophical Society, established in 1875 in New York City, is the organisational body of Theosophy, an esoteric new religious movement. Co-founded by Helena Blavatsky, a Russian mystic and
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank. I had seen the magic shop from afar several times. I had passed (1)______ once or twice, a shop window of (2)______ little objects, magic balls, magic hens, wonderful cones, magic dolls, and all those (3)______ of things. But never had I thought of going in (4)______ one day. Gip hauled me by my finger—right (5)______ to the window. Question: Select the most appropriate option to fill in the blank no. 2.
Option 1: allured
Option 2: allures
Option 3: alluring
Option 4: allure
Correct Answer: alluring
Solution : The third option is the correct choice.
The word alluring conveys the idea of the shop window being attractive and enticing. This choice aligns with the context, which describes the shop window as displaying various captivating items such as magic balls, magic hens, wonderful cones,
Question : A person has three iron bars whose lengths are 20, 30 and 40 metres, respectively. He wants to cut pieces of the same length from each of the three bars. What is the least number of total pieces if he cuts without any wastage?
Option 1: 8
Option 2: 10
Option 3: 9
Option 4: 11
Correct Answer: 9
Solution : HCF of 20, 30 and 40 = 10 Number of pieces from 20m long iron bar = $\frac{20}{10} = 2$ Number of pieces from 30m long iron bar = $\frac{30}{10} = 3$ Number of pieces from 40m long iron bar = $\frac{40}{10} = 4$ Total
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (14, 25, 38) (8, 19, 32)
Option 1: (24, 35, 46)
Option 2: (6, 17, 30)
Option 3: (15, 28, 41)
Option 4: (13, 26, 37)
Correct Answer: (6, 17, 30)
Solution : Given: (14, 25, 38); (8, 19, 32)
The logic here is→(The second number – The first number) = 11; (The third number – The second number) = 13 (14, 25, 38)→25 – 14 = 11; 38 – 25 = 13 (8, 19, 32)→19
Question : Select the INCORRECTLY spelt word from the underlined words in the following sentence. This was a blatent disregard to the advisory by the host against it and in violation of the norms of the meeting.
Option 1: advisory
Option 2: blatent
Option 3: disregard
Option 4: violation
Correct Answer: blatent
Solution : The correct answer is the second option.
Explanation: The correct spelling is "blatant", not "blatent". The word "blatant" is an adjective used to describe something obvious, flagrant, or done without any attempt to conceal it. In the context of the sentence, it describes a disregard
Question : The Rolling plan was implemented between which two five-year plans?
Option 1: Fourth and Fifth
Option 2: Sixth and Seventh
Option 3: Second and Third
Option 4: Fifth and Sixth
Correct Answer: Fifth and Sixth
Solution : The correct option is the Fifth and Sixth
The term "rolling plan" typically refers to an economic planning approach where plans are continuously updated and modified rather than being fixed for a specific period, such as a five-year plan. The concept of the
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