Staff Selection Commission Sub Inspector Exam
Question : A certain amount grows at an annual interest rate of 12% per annum, compounded monthly. Which of the following equations can be solved to find the number of years, $y$. That it would take for the investment to increase by a factor of 64?
Option 1: $64=(1.01)^{12y}$
Option 2: $\frac{1}{64}=(1.04)^{12y}$
Option 3: $64=(1.04)^{12y}$
Option 4: $8=(1.01)^{6y}$
Correct Answer: $64=(1.01)^{12y}$
Solution : Given: Rate of interest = 12% per annual = 1% per month Time = $12y$ months Using the given formula, Amount = P(1 + $\frac{R}{100})^n$, where P is principal, $R$ is the rate of interest per term for $n$ terms. ⇒ 64P = P(1 +
Question : Directions: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it? LU_ TUPLUBTU _ L UBT _ P _UBTUP
Option 1: BPUL
Option 2: BUPL
Option 3: LBPU
Option 4: PBUL
Correct Answer: BPUL
Solution : Given: LU_ TUPLUBTU _ L UBT _ P _UBTUP
To fill the series we have to divide the series – LU_ TUP/LUBTU _/ L UBT _ P/ _UBTUP Let's check the options – First option: BPUL; LUBTUP/LUBTUP/LUBTUP/LUBTUP
Question : I is the incentre of $\triangle \mathrm{ABC}$ of $\angle \mathrm{A}=46°$, then $\angle \mathrm{BIC}=$?
Option 1: 93°
Option 2: 113°
Option 3: 124°
Option 4: 134°
Correct Answer: 113°
Solution : In $\triangle$BIC Angle at incentre = 90° + $\frac{1}{2}$ × vertex angle ⇒ $\angle$BIC = 90° + $\frac{46°}{2}$ = 90° + 23° = 113° Hence, the correct answer is 113°.
Question : As we go from the Equator to the North Pole value of 'g', the acceleration due to gravity
Option 1: remains same
Option 2: decreases
Option 3: increases
Option 4: None of the above
Correct Answer: increases
Solution : The correct option is increases.
When moving from the equator towards the pole, the acceleration due to gravity (g) increases. This is because the Earth is not a perfect sphere but rather slightly flattened at the poles and bulging at the equator. The centrifugal force
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer. (1) He could / (2) be pass his exams / (3) if he studied harder. / (4) No error
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the first option.
Explanation: The error is in the use of the verb "be" followed directly by "pass". The correct structure should be "pass" without "be". The correct construction is "could pass", indicating the potential to successfully complete the exams.
Therefore,
Question : Directions: In the following question, select the related number from the given alternatives. 19 : 568 :: 25 : ?
Option 1: 748
Option 2: 623
Option 3: 799
Option 4: 654
Correct Answer: 748
Solution : Given: 19 : 568 :: 25 : ?
Like, 19 : 568→(19 × 30) – 2 = 570 – 2 = 568 Similarly, for 25 : ?→(25 × 30) – 2 = 750 – 2 = 748
So, 25 is related to 748. Hence, the
Question : A speedboat, whose speed is 20 km/hr in still water, goes 35 km downstream and comes back in a total of 8 hours. What is the speed of the stream?
Option 1: 20 km/hr
Option 2: 10 km/hr
Option 3: 15 km/hr
Option 4: 5 km/hr
Correct Answer: 15 km/hr
Solution : Given, A speedboat, whose speed is 20 km/h in still water, goes 35 km downstream and comes back in a total of 8 hours. We know, Downstream speed = Speed of boat in still water + Speed of stream and, Upstream speed = Speed
Question : The sum of two numbers is 16 and the difference is 2. What is the product of the two numbers?
Option 1: 35
Option 2: 56
Option 3: 63
Option 4: 42
Correct Answer: 63
Solution : Given: The sum of the two numbers is 16 and their difference is 2. The bigger number = $\frac{\text{Sum + Difference}}{2}$ = $\frac{16 + 2}{2}$ = 9 The smaller number = 16 – 9 = 7 Therefore, the product of the two numbers = 9
Question : Select the most appropriate meaning of the underlined segment in the given sentence.
Ms. Tina could finish the assignment by Friday - at a push, Wednesday.
Option 1: try very hard to do something, usually something nice
Option 2: probably possible, but it will be difficult
Option 3: make more of an effort
Option 4: using whatever methods are necessary
Correct Answer: probably possible, but it will be difficult
Solution : The second option is the correct answer.
The phrase at a push is an idiom used to convey that something is possible but with difficulty or effort. In this context, it suggests that Ms. Tina could potentially finish the
Question : Who among the following invented a device called PM 2.5 which when fitted near the silencer pipe in vehicles will curb air pollution?
Option 1: Debayan Saha
Option 2: Deepak Gupta
Option 3: Nikesh Arora
Option 4: Asha Sharma
Correct Answer: Debayan Saha
Solution : The correct answer is Debayan Saha.
Debayan Saha created the PM 2.5 gadget, which reduces air pollution when installed next to a vehicle's silencer pipe. An IIT-Kharagpur graduate has developed a tool called "-2.5" to combat the pollution that bears the same name to
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