Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation. 24 * 12 * 35 * 24 * 6 * 319
Option 1: +, –, ÷, ×, =
Option 2: ×, +, –, ÷, =
Option 3: ÷, +, –, ×, =
Option 4: ×, ÷, +, –, =
Correct Answer: ×, +, –, ÷, =
Solution : Given: 24 * 12 * 35 * 24 * 6 * 319
Let's check the options – First option: +, –, ÷, ×, = 24 + 12 – 35 ÷ 24 × 6 = 319 On solving the L.H.S. of the
Question : Jonathan had borrowed a sum of money 3 years ago at 10% interest per annum compounded annually for 5 years, with the amount to be paid at the end of the period being INR 1,61,051. However, there is no pre-payment penalty and Jonathan has received some bonus payments now, with which he has decided to clear his debt. How much does Jonathan have to pay now to clear his debt?
Option 1: INR 1,33,000
Option 2: INR 1,32,900
Option 3: INR 1,33,142
Option 4: INR 1,33,200
Correct Answer: INR 1,33,142
Solution : Amount = P (1 + $\frac{r}{n})^{nt}$, where P = Principal r = rate of interest (in decimal) n = number of times t = time in years According to the question ⇒ P = $\frac{A}{(1+\frac{r}{n})^{nt}}$ = $\frac{161051}{(1+\frac{0.1}{1})^{5}}$ = $\frac{161051}{(1+\frac{0.1}{1})^{5}}$ = $\frac{ 161051}{1.61}$ = 100031.68
Question : 72 ÷ 8 × [{(57 − 49) ÷ 2} + {(85 − 60) ÷ 5} – {(28 − 19) ÷ 3}] is equal to:
Option 1: 56
Option 2: 46
Option 3: 54
Option 4: 60
Correct Answer: 54
Solution : 72 ÷ 8 × [{(57 − 49) ÷ 2} + {(85 − 60) ÷ 5} – {(28 − 19) ÷ 3}] = 72 ÷ 8 × [{8 ÷ 2} + {25 ÷ 5} – {9 ÷ 3}] = 72 ÷ 8 × [4 + 5
Question : If $x$4 + $x$ -4 = 194, x > 0, then what is the value of $x+\frac{1}{x}+2$?
Option 1: 8
Option 2: 14
Option 3: 6
Option 4: 4
Correct Answer: 6
Solution : Given: $x^4+x^{-4}=194$ ⇒ $x^4+\frac{1}{x^4}=194$ Adding 2 both sides, we get: ⇒ $x^4+\frac{1}{x^4}+2=194+2$ ⇒ $(x^2+\frac{1}{x^2})^2=196$ ⇒ $x^2+\frac{1}{x^2}=14$ Adding 2 both sides, we get: ⇒ $x^2+\frac{1}{x^2}+2=14+2$ ⇒ $(x+\frac{1}{x})^2=16$ ⇒ $x+\frac{1}{x}=4$ Now, $x+\frac{1}{x}+2$ = 4 + 2 = 6 Hence, the correct answer is 6.
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 1, 9, 25, 49, ?
Option 1: 83
Option 2: 91
Option 3: 81
Option 4: 73
Correct Answer: 81
Solution : Given: 1, 9, 25, 49, ?
The given numbers are the square of the odd numbers – 1→(1)2; 9→(3)2; 25→(5)2; 49→(7)2 The next odd number is 9 and its square is 81.
So, 81 is the missing number
Question : Directions: A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : Directions: In a certain code language, CAKE is written as 6, and JUICE is written as 7. How will JUG be written in that language?
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 6
Correct Answer: 5
Solution : Given: CAKE is written as 6 and JUICE is written as 7.
Add 2 to the number of letters of CAKE, to obtain the required code – Number of letters in CAKE = 4; 4 + 2 = 6 Thus, CAKE is coded as 6.
Question : While Magadha was a powerful Mahajanapada, Vajji, with its capital at Vaishali (Bihar), was under a different form of government known as:
Option 1: Samajwadi
Option 2: gana or sangha
Option 3: loktantra
Option 4: Panchayati
Correct Answer: gana or sangha
Solution : The correct option is gana or sangha.
Vaishali, in Bihar, served as the capital of the Vajji governmental system, which was referred to as "gana" or "sangha". The Vajji Mahajanapada has a distinct system of governance, distinguished by a republican framework. It
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
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)
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
