Staff Selection Commission Sub Inspector Exam
Question : A person sold an article at a loss of 16%. Had he sold it for INR 660 more, he would have gained 8%. What should be the selling price (in INR) to gain a profit of 12%?
Option 1: 2,970
Option 2: 3,200
Option 3: 2,750
Option 4: 3,080
Correct Answer: 3,080
Solution : Let $x$ be the cost price. Loss = 16% of $x$ = $0.16x$ Selling price = cost price – loss = $x-0.16x$ = $0.84x$ New selling price = $0.84x+660$ Profit = 8% of $x$ = $0.08x$ Selling price – cost price = $0.08x$ $0.84x+660-x$ =
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.) (16, 9, 154) (13, 7, 101)
Option 1: (12, 5, 70)
Option 2: (10, 7, 81)
Option 3: (15, 6, 110)
Option 4: (11, 8, 99)
Correct Answer: (12, 5, 70)
Solution : Given: (16, 9, 154); (13, 7, 101)
Multiply the first number with the second number, and add 10 to the resultant to get the third number – ⇒ (16, 9, 154)→(16 × 9) + 10 = 154 ⇒ (13, 7, 101)→(13 × 7)
Question : ______ was a key position in the royal court of Delhi sultanate and his role was of a general supervisor over all departments.
Option 1: Diwan-i-Mustakhraj
Option 2: Diwan-i-Amir Kohi
Option 3: Diwan-i-Waqoof
Option 4: Diwan-i-Wizarat
Correct Answer: Diwan-i-Wizarat
Solution : The correct answer is Diwan-i-Wizarat.
The Wazir-led Diwan-i-Wizarat was the most significant position after the Sultan. He held one of the four crucial department head positions, although his primary responsibility at the royal court was as a general supervisor over every department. The Sultan
Question : The following bar graph shows the number of employees in Company A and Company B in 5 years. Find the total number of employees in Company A and Company B in 2018 and 2019.
Option 1: 2860
Option 2: 2740
Option 3: 2820
Option 4: 3210
Correct Answer: 2740
Solution : The total number of employees in Company A and Company B in 2018 = 820 + 440 = 1260 The total number of employees in Company A and Company B in 2019 = 920 + 560 = 1480 So, the total number of employees in
Question : Directions: In the following question, a series is given with one or more alphabet missing. Choose the correct alternative from the given options. X_ZY_X_YZY_X
Option 1: XZYZ
Option 2: ZYXY
Option 3: YZXZ
Option 4: YYZZ
Correct Answer: YZXZ
Solution : Given: X_ZY_X_YZY_X To fill the series we have to divide the series→X_ZY_X /_YZY_X Let's check each option – First option: XZYZ; XXZYZX/YYZYZX (No repeated pattern has been found.) Second option: ZYXY; XZZYYX/X
Question : Which compound structure includes a saturated short-chain fatty acid with 4-carbon molecules, commonly found in esterified form in animal fats and plant oils?
Option 1: Butyric acid
Option 2: Propionic acid
Option 3: Succinic acid
Option 4: Lactic acid
Correct Answer: Butyric acid
Solution : The correct answer is Butyric acid.
Butyric acid is a short-chain saturated fatty acid with a structure consisting of four carbons. It is usually found in animal fats and plant oils in its esterified form. Because one of the distal methyl molecules in butane
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. A_ _DF_K_ _FA_ L_ _
Option 1: DLKLFALD
Option 2: LALKDFDK
Option 3: KLALDKDF
Option 4: FDLAKFDL
Correct Answer: KLALDKDF
Solution : Given: A_ _DF_K_ _FA_ L_ _
To fill the series, we have to divide the series – A _ _ DF / _ K _ _ F / A _ L _ _ Let's check each option – First option: DLKLFALD; ADLDF /
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 12 – 48
Option 2: 7 – 28
Option 3: 5 – 20
Option 4: 11 – 55
Correct Answer: 11 – 55
Solution : Let's check the options – First option: 12 – 48; 48 ÷ 12 = 4 Second option: 7 – 28; 28 ÷ 7 = 4 Third option: 5 – 20; 20 ÷ 5 = 4 Fourth option: 11 – 55; 55 ÷ 11
Question : The radius of the ends of a frustum of a solid right-circular cone 45 cm high is 28 cm and 7 cm. If this frustum is melted and reconstructed into a solid right circular cylinder whose radius of base and height are in the ratio 3: 5, find the curved surface area (in ${cm}^2$ ) of this cylinder. [Use $\pi=\frac{22}{7}$.]
Option 1: 4580
Option 2: 4610
Option 3: 4640
Option 4: 4620
Correct Answer: 4620
Solution : According to the question, Area of the frustum = Volume of the cylinder ⇒ $\frac{1}{3}\pi$ ((7)2 + (28)2 + 7×28) 45 = $\pi r^{2} h$ where $r$, $h$ are the radius and heights of the cylinder ⇒ $\frac{1}{3}\pi(49 + 754 + 196)$ 45
Question : In a triangle ABC, $\angle$BAC = 90°. If BC = 25 cm, then what is the length of the median AD?
Option 1: 10 cm
Option 2: 12.5 cm
Option 3: 14.5 cm
Option 4: 24 cm
Correct Answer: 12.5 cm
Solution : Given: $\Delta ABC$ is a right triangle and BC is the hypotenuse. BC = 25 cm we know that $\text{Median of right triangle} =\ \frac{\text{Hypotenuse}}{2}$ $=\ \frac{BC}{2}$ $=\ \frac{25}{2}$ $=\ 12.5$ cm Hence the length of the median is 12.5 cm.
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