Staff Selection Commission Sub Inspector Exam
Question : Directions: Select the option that will fill in the blank and complete the given series. FTB, IQE, LNH, OKK, ?
Option 1: SHN
Option 2: RGM
Option 3: SHM
Option 4: RHN
Correct Answer: RHN
Solution : Given: FTB, IQE, LNH, OKK, ?
Add 3 in the first and third letters and subtract 3 from the second letter – FTB→F + 3 = I; T – 3 = Q; B + 3 = E→IQE IQE→I + 3 = L; Q – 3
Question : A car travels with a speed of 21 m/sec in the first 10 minutes, 9.0 km in the next 10 minutes and 10 km in the last 10 minutes of its journey. What is the average speed of the car in km/hr during its entire journey?
Option 1: 60.0 km/hr
Option 2: 63.2 km/hr
Option 3: 62.0 km/hr
Option 4: 65.3 km/hr
Correct Answer: 63.2 km/hr
Solution : In the first 10 minutes, the car travels at a speed of 21 m/s. [1 min = 60 sec then 10 min = 600 sec] Distance travelled = 21 × 600 = 12600 m = 12.6 km Total distance travelled = 12.6 + 9
Question : If AB = 5 cm, AC = 12 cm, and AB$\perp$ AC, then the radius of the circumcircle of $\triangle ABC$ is:
Option 1: 6.5 cm
Option 2: 6 cm
Option 3: 5 cm
Option 4: 7 cm
Correct Answer: 6.5 cm
Solution : Given: $AB = 5$ cm; $AC = 12$ cm and $AB \perp AC$ $BC$ = Diameter In $\triangle ABC$, $BC = \sqrt{AB^2 + AC^2}$ $BC = \sqrt{5^2 + 12^2} = \sqrt{25 + 144}$ $BC = \sqrt{169} = 13 \;cm$ $\therefore OB$ is the radius
Question : Directions: Which two signs should be interchanged to make the given equation correct? 13 + 145 ÷ 29 × 52 – 11 = 106
Option 1: – and ×
Option 2: × and +
Option 3: ÷ and –
Option 4: ÷ and +
Correct Answer: × and +
Solution : Given: 13 + 145 ÷ 29 × 52 – 11 = 106
Let's check the options – First option: – and × 13 + 145 ÷ 29 – 52 × 11 = 106 On solving the L.H.S. of the given equation – =
Question : If the sum of two quantities is equal to three times their difference, then the ratio of the two quantities is:
Option 1: 1 : 3
Option 2: 3 : 1
Option 3: 2 : 1
Option 4: 2 : 3
Correct Answer: 2 : 1
Solution : Let the numbers be $x$ and $y$. The sum of the number is $x + y$. Three times the difference be $3(x-y)$. According to the given conditions, $x + y = 3 (x - y)$ $⇒ x + y = 3x - 3y$
Question : A hostel mess requires 217 eggs for a week. How many eggs will it require in total for the months of July, August and September?
Option 1: 2821
Option 2: 2883
Option 3: 2852
Option 4: 2790
Correct Answer: 2852
Solution : The months of July, August, and September have 31, 31, and 30 days respectively. That's a total of 92 days. Since a week has 7 days, the total number of weeks in these three months is $\frac{92}{7}$ weeks. Therefore, the hostel mess will require 217
Question : If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is INR 433.50, then the sum (in INR) is:
Option 1: 15,000
Option 2: 25,000
Option 3: 20,000
Option 4: 12,000
Correct Answer: 15,000
Solution : Difference between Compound Interest and Simple Interest for 2 years = $\frac{PR^{2}}{100^{2}}$ where $R$ is the rate of interest per annum compounded annually and $P$ is principal. ⇒ 433.50 = $P × \frac{17}{100}$ × $\frac{17}{100}$ ⇒ 43350 × 100 = $P$ × 289 ⇒ $P$
Question : Directions: In a row of children, Ravi is fourth from right and Sham is second from left. When they interchange positions, Ravi is ninth from right. What will be Sham's position from the left?
Option 1: Fifth
Option 2: Sixth
Option 3: Seventh
Option 4: Eighth
Correct Answer: Seventh
Solution : Given: Ravi is fourth from right and Sham is second from left. When they interchange positions, Ravi is ninth from right. After interchanging Ravi is ninth from right. So, the total number of students in the row = 9 + 1 = 10 Sham’s new
Question : Directions: It took 20 days for all the leaves of a tree to fall. If the number of leaves that fell each day was twice that of the previous day, on which day would the tree be half bare?
Option 1: 10th day
Option 2: 11th day
Option 3: 40th day
Option 4: 19th day
Correct Answer: 19th day
Solution : Let the total number of leaves on the tree be A.
The number of leaves that fell each day = 2 × (the number of leaves that fell on the previous day)
On the 20th day, all leaves fell. The number of leaves fell
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each blank.
Let us take a brief look at the planet (1)______ which we live. As the earth hurtles through space at a (2)______ of 70, 000 miles per hour, it spins, as we all know, on its axis, (3)______ causes it to be flattened at the poles. Thus, if you (4)______ to stand at the North or South Pole, you would be 13 miles nearer the centre of the earth (5)______ if you stood on the Equator. Question
Select the most appropriate option to fill in the blank no. 2.
Option 1: force
Option 2: distance
Option 3: speed
Option 4: mass
Correct Answer: speed
Solution : The third option is the correct answer.
The sentence is describing the Earth's motion through space, indicating that it moves at a certain rate or pace. The word "speed" fits in this context to convey the rate at which the Earth is moving, which is
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