Staff Selection Commission Sub Inspector Exam
Question : Directions: If + means –, – means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation? 137 ÷ 56 × 7 – 6 + 31 = ?
Option 1: 149
Option 2: 163
Option 3: 145
Option 4: 154
Correct Answer: 154
Solution : Given: + means –, – means ×, × means ÷, ÷ means + 137 ÷ 56 × 7 – 6 + 31 = ?
After interchanging the given mathematical signs, we get – 137 + 56 ÷ 7 × 6 – 31 137 + 8
Question : Select the INCORRECTLY spelt word.
Option 1: Serene
Option 2: Triumph
Option 3: Comparsion
Option 4: Unveil
Correct Answer: Comparsion
Solution : The third option is the correct choice.
The incorrectly spelled word is Comparsion. The correct spelling is comparison. The error lies in the placement of the letters a and I. The correct spelling follows the sequence "compar" followed by ison, whereas the incorrect
Question : Find the greatest number which when divided 261, 853, and 1221, leaves a remainder of 5 in each case.
Option 1: 19
Option 2: 18
Option 3: 17
Option 4: 16
Correct Answer: 16
Solution : The greatest number that divides 261, 853, and 1221, leaving a remainder of 5 in each case, is the greatest common divisor (GCD) of (261 – 5), (853 – 5), and (1221 – 5). So, we need to find the GCD of 256, 848, and
Question : What is the value of the following in terms of trigonometric ratios? $\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}$
Option 1: $2\operatorname{cosec A}$
Option 2: $2\operatorname{cos A}$
Option 3: $2\operatorname{sec A}$
Option 4: $2\operatorname{sin A}$
Correct Answer: $2\operatorname{cosec A}$
Solution : $\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}$ $=\frac{\sin^2 A + (1 + \cos A)^2}{\sin A (1 + \cos A)}$ $=\frac{\sin^2 A +1 + 2\cos A + \cos^2 A}{\sin A (1 + \cos A)}$ $=\frac{2 + 2\cos A}{\sin A (1 + \cos A)}$ [$\because \sin^2 A +
Question : The radius of the base of a cylinder is 14 cm and its volume is 6160 cm3. The curved surface area (in cm2) is: (Take $\pi=\frac{22}{7}$)
Option 1: 778
Option 2: 880
Option 3: 660
Option 4: 940
Correct Answer: 880
Solution : The volume of a cylinder, $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height. ⇒ $h = \frac{V}{\pi r^2}$ Given that $V = 6160 \, \text{cm}^3$, $r = 14 \, \text{cm}$, and $\pi = \frac{22}{7}$ $\therefore h = \frac{6160}{\frac{22}{7}
Question : As per Article 361 of the Constitution of India, who among the following shall NOT be answerable to any court for the exercise and performance of the powers and duties of his/her office?
Option 1: Chief minister
Option 2: Secretary
Option 3: Prime minister
Option 4: Governor
Correct Answer: Governor
Solution : The correct answer is Governor.
According to this article, the President or Governor shall not be answerable to any court for the exercise and performance of the powers and duties of his office or for any act done or supposed to be done by
Question : Arun buys one kilogram of apples for Rs. 120 and sells it to Swati gaining 25%. Swati sells it to Divya who again sells it for Rs. 198, making a profit of 10%. What is the profit percentage made by Swati?
Option 1: 25%
Option 2: 20%
Option 3: 16.67%
Option 4: 15%
Correct Answer: 20%
Solution : Here SP is the selling price and CP is the cost price. CP for Arun = Rs. 120 Profit = 25% SP of apple = $\frac{125}{100}×120$ = Rs. 150 Again, SP by Divya = Rs. 198 Including profit = 10% CP for Divya = $\frac{100}{110}×198$
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 115, 130, 122, 137, 129, ?
Option 1: 144
Option 2: 142
Option 3: 148
Option 4: 150
Correct Answer: 144
Solution : Given: 115, 130, 122, 137, 129, ?
Add 15 and subtract 8 alternately from the previous term to obtain the missing term. 115 + 15 = 130; 130 – 8 = 122; 122 + 15 = 137; 137 – 8 = 129; 129 + 15
Question : If the perimeter of the circle is 13.2 cm, then the radius of the circle is___________. $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 6.6 cm
Option 2: 4.2 cm
Option 3: 2.1 cm
Option 4: 3.3 cm
Correct Answer: 2.1 cm
Solution : Let $r$ be the radius of a circle. The perimeter of the circle = 13.2 cm $2\pi r = 13.2$ $⇒2 × \frac{22}{7} × r = 13.2$ $\therefore r = \frac{13.2 × 7}{2 × 22}= 2.1$ cm Hence, the correct answer is 2.1 cm.
Question : Directions: Find the odd word from the given responses.
Option 1: Insurance
Option 2: Provident fund
Option 3: Salary
Option 4: Shares
Correct Answer: Salary
Solution : All other given words (Insurance, Provident Fund, Shares) except for Salary are the types of investments made. But salary is the source of income.
Hence, the third option is correct.
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