Staff Selection Commission Sub Inspector Exam
Question : If the length of a side of the square is equal to that of the diameter of a circle, then the ratio of the area of the square and that of the circle is:
Option 1: 14 : 11
Option 2: 7 : 11
Option 3: 11 : 14
Option 4: 11 : 7
Correct Answer: 14 : 11
Solution : Let the side of the square be $s$. $\therefore$ Area of this square = $s^2$ Diameter of the circle = $s$ So, the radius of the circle = $\frac{s}{2}$ Area of the circle = $\pi (\frac{s}{2})^2$ $\therefore$ Required ratio = $\frac{s^2}{\pi (\frac{s}{2})^2}=\frac{4\times 7}{22}=\frac{14}{11}$
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is 4.
He will revise it when he is comes back.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The correct option is the second option.
Explanation:
It is a clear way to express the idea that the action of revising will happen when the person returns. It's common in English to use "on" followed by a gerund (the -ing form of a verb)
Question : Directions: Which number will replace the question mark (?) to complete the given series? 25, 29, 36, 49, 71, ?
Option 1: 108
Option 2: 106
Option 3: 103
Option 4: 105
Correct Answer: 105
Solution : Given: 25, 29, 36, 49, 71, ?
The pattern followed here is –
So, 105 is the required missing number in the series. Hence, the fourth option is correct.
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Everybody wants to enjoy habitual peace in mind.
(1) peace in mind.
(2) No Error
(3) Everybody wants to
(4) enjoy habitual
Correct Answer: 1
Solution : The error is in option one.
The correct sentence is: "Everybody wants to enjoy peace of mind."
"peace in mind" should be changed to "peace of mind" to correctly convey the idea of having a peaceful state of mind.
Question : Directions: A ? B means A is the son of B. A & B means A is the daughter of B. A * B means A is the brother of B. A = B means A is the father of B. If H & Q * Y * N, then how is Y related to H?
Option 1: Father
Option 2: Brother
Option 3: Father's brother
Option 4: Father's father
Correct Answer: Father's brother
Solution : Given: A ? B⇒A is the son of B. A & B⇒A is the daughter of B. A * B⇒A is the brother of B. A = B⇒A is the father of B. H & Q * Y * N
As per the given
Question : Raman, Rohit, and Raja are partners and invest in a business. Raman invests $\frac{1}{4}$th of the total and Rohit invests $\frac{1}{3}$rd of the total. What is the ratio of profit of Raman, Rohit, and Raja respectively?
Option 1: 4 : 3 : 1
Option 2: 3 : 4 : 4
Option 3: 3 : 4 : 5
Option 4: 4 : 3 : 5
Correct Answer: 3 : 4 : 5
Solution : Raman's share = $\frac{1}{4}$ Rohit's share = $\frac{1}{3}$ Raja's share = $1-(\frac{1}{4}+\frac{1}{3})=\frac{5}{12}$ Share of Raman : Rohit : Raja = $\frac{1}{4}$ : $\frac{1}{3}$ : $\frac{5}{12}$ LCM of 4, 3, and 12 is 12. Multiplying by 12 in all fractions, we get,
Question : In the given figure, MNP, SQP, NQR, and MSR are straight lines. $\angle$NPQ = 54° and $\angle$QRS = 68°. What is the degree measure of $\angle$SMN?
Option 1: 29°
Option 2: 38°
Option 3: 54°
Option 4: 68°
Correct Answer: 29°
Solution :
In a cyclic quadrilateral, the exterior angle equals the interior opposite angle. ⇒ $\angle$SMN = $\angle$RQS = $\theta$ (let) The exterior angle of a triangle equals the sum of two interior opposite angles. So, from $\triangle$MPS $\angle$RSP = $\angle$SMP + $\angle$SPM ⇒ $\angle$RSQ = $\theta$
Question : A man borrowed Rs. 50,000 from a bank at 10% per annum, compounded annually. At the end of every year, he pays Rs. 15,000 as part payment of the loan and interest. How much does he still owe to the bank after three such instalments?
Option 1: Rs. 16,900
Option 2: Rs. 15,800
Option 3: Rs. 15,200
Option 4: Rs. 16,200
Correct Answer: Rs. 16,900
Solution : At the end of the first year, The remaining amount = (50000 × 1.1) – 15000 = 55000 – 15000 = Rs. 40000 At the end of the second year, The remaining amount = (40000 × 1.1) – 15000 = 44000 – 15000 =
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. _M_XJ_PX_MP_J_ _X
Option 1: JOJMXMP
Option 2: JPMJXMP
Option 3: JPMXJMP
Option 4: JPXMJMP
Correct Answer: JPMJXMP
Solution : Given: _M_XJ_PX_MP_J_ _X
To fill the series, we have to divide the series – _M_X / J_PX / _MP_ / J_ _X Let's check the options – First option: JOJMXMP; JMOX / JJPX / MMPX / JM
Question : Directions: The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the fourth option is correct.
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