Staff Selection Commission Sub Inspector Exam
Question : Directions: If A denotes +, B denotes ×, C denotes −, and D denotes ÷, then what will be the value of the following expression? 200 C 12 B 15 A 26 D 13 = ?
Option 1: 22
Option 2: 24
Option 3: 23
Option 4: 26
Correct Answer: 22
Solution : Given: 200 C 12 B 15 A 26 D 13 = ?
After replacing the letters with the mathematical signs, we get – 200 – 12 × 15 + 26 ÷ 13 = 200 – 12 × 15 + 2 = 200 – 180 +
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select 'No Error (S)' as your answer.
Men who has risen (P) / by their own exertions (Q) / are always respected. (R) / No Error (S)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error lies in the first part of the sentence.
There is an error in the form of the auxiliary verb in the sentence. The verb "has" should be replaced with "have" to convey the intended meaning that men who have achieved success through their
Question : Directions: Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing 1.
Option 1: 5
Option 2: 4
Option 3: 6
Option 4: 3
Correct Answer: 3
Solution : We can observe that in these two positions of the dice, the 2 and 6 are common faces of the dice, and the rule says that when the two faces are common we can eliminate the two faces, and the rest of the faces in
Question : Which one of the following is the smallest?
Option 1: $\sqrt{101}-\sqrt{99}$
Option 2: $\sqrt{201}-\sqrt{199}$
Option 3: $\sqrt{301}-\sqrt{299}$
Option 4: $\sqrt{401}-\sqrt{399}$
Correct Answer: $\sqrt{401}-\sqrt{399}$
Solution : The expressions given are differences in square roots of numbers that are 2 units apart. For such expressions, the difference decreases as the numbers increase. The function $f(x) = \sqrt{x}$ is concave up, meaning the rate of increase of $f(x)$ decreases as $x$ increases. Therefore,
Question : If $0\leq \theta\leq \frac{\pi}{2}$ and $\sec^{2}\theta+\tan^{2}\theta=7$, then $\theta$ is:
Option 1: $\frac{5\pi}{12}$
Option 2: $\frac{\pi}{3}$
Option 3: $\frac{\pi}{5}$
Option 4: $\frac{\pi}{6}$
Correct Answer: $\frac{\pi}{3}$
Solution : Given: $\sec^{2}\theta+\tan^{2}\theta=7$ -------------(1) We know that $\sec^{2}\theta-\tan^{2}\theta=1$ ------------(2) Adding equations (1) and (2), we have, ⇒ $2\sec^{2}\theta=8$ ⇒ $\sec^{2}\theta=4$ ⇒ $\sec\theta=2$ ⇒ $\sec\theta=\sec60°$ ⇒ $\theta=60°=\frac{\pi}{3}$ Hence, the correct answer is $\frac{\pi}{3}$.
Question : Which of the following options best describes the meaning of Nritta in the Kuchipudi dance form?
Option 1: Abstract Narrative Dancing
Option 2: Non-Narrative and Abstract Dancing
Option 3: Interpretative Dancing
Option 4: Narrative Dancing
Correct Answer: Non-Narrative and Abstract Dancing
Solution : The correct option is Non-Narrative and Abstract Dancing.
Nritta in the Kuchipudi dance form refers to the pure, abstract, and rhythmic elements of dance. It involves intricate footwork, body movements, and hand gestures performed in a structured and rhythmic manner. Nritta does
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given 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.) (3, 11, 92) (4, 8, 264)
Option 1: (2, 32, 50)
Option 2: (7, 13, 2401)
Option 3: (5, 35, 660)
Option 4: (6, 12, 676)
Correct Answer: (5, 35, 660)
Solution : Given: (3, 11, 92); (4, 8, 264)
The pattern is as follows – (3, 11, 92)→(3)4 + 11 = 81 + 11 = 92 (4, 8, 264)→(4)4 + 8 = 256 + 8 = 264
Let's check the options – First
Question : Directions: Select the option that represents the letters that when sequentially placed from left to right in the blanks will complete the letter series. _st_ _lbz_tmm_ _zs_ _mlb
Option 1: zmlslbmt
Option 2: zmmslbtm
Option 3: zmmsbltm
Option 4: zmmslbmt
Correct Answer: zmmslbtm
Solution : Given: _st_ _lbz_tmm_ _zs_ _mlb
To fill the series, we have to divide the series – _st_ _lb / z_tmm_ _ / zs_ _mlb Let's check each option – First option: zmlslbmt; zstmllb / zstmmlb / zsmtmlb
Question : AB is a common tangent to both the circles in the given figure. Find the distance (correct to two decimal places) between the centres of the two circles.
Option 1: 18.98 units
Option 2: 23.58 units
Option 3: 26.59 units
Option 4: 21.62 units
Correct Answer: 23.58 units
Solution : Given, The radius of the smaller circle = 5 units Let the radius of the larger circle be $x$ units. Common tangent(AB) to both circles of length = 20 units We know that two triangles are said to be similar if they have the
Question : Satish bought 35 notebooks for Rs. 700 and sold 28 of them for Rs. 600. Find his gain percentage.
Option 1: $7 \frac{1}{7} \%$
Option 2: $9 \frac{1}{7} \%$
Option 3: $6 \frac{1}{7} \%$
Option 4: $8 \frac{1}{7} \%$
Correct Answer: $7 \frac{1}{7} \%$
Solution : First, the cost price (CP) per notebook = $\frac{700}{35}$ = Rs. 20 Then, the selling price (SP) per notebook = $\frac{600}{28}$ = Rs. 21.43 The gain is the difference between the SP and CP = 21.43 – 20 = Rs. 1.43 per notebook
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