Staff Selection Commission Sub Inspector Exam
Question : A alone can complete a work in 18 days and B alone in 15 days. B alone worked at it for 10 days and then left the work. In how many more days, will A alone complete the remaining work?
Option 1: $5$ days
Option 2: $5\frac{1}{2}$ days
Option 3: $6$ days
Option 4: $8$ days
Correct Answer: $6$ days
Solution : Time taken by A to complete the work = 18 days Time taken by B to complete the work = 15 days Work done by A in a day = $\frac{1}{18}$ Work done by B in a day = $\frac{1}{15}$ Work done by B
Question : Select the most appropriate meaning of the given idiom. An arm and a leg
Option 1: To ask for too much
Option 2: A large amount of money
Option 3: Everything is ready
Option 4: To be lost and bewildered
Correct Answer: A large amount of money
Solution : The second option is the correct choice.
The idiom an arm and a leg is used metaphorically to indicate a very high cost or price for something. When someone says that something costs an arm and a leg, they mean that
Question : The circumference of a circle exceeds its diameter by 60 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$ )
Option 1: 1078 cm2
Option 2: 616 cm2
Option 3: 536 cm2
Option 4: 346.5 cm2
Correct Answer: 616 cm2
Solution : The circumference of a circle = $2\pi r$, where $r$ is the radius of the circle. Diameter = $2r$ According to the question $2\pi r - 2r = 60$ ⇒ $2r(\frac{22}{7} – 1) = 60$ ⇒ $r \times \frac{15}{7} = 30$ ⇒ $r
Question : According to the 2011 Census, what is the difference in the male and female literacy rates in India?
Option 1: 14.96%
Option 2: 15.23%
Option 3: 17.98%
Option 4: 16.68%
Correct Answer: 16.68%
Solution : The correct answer is 16.68%.
The literacy rate is 82.14% for males and 65.46% for females, revealing a 16.68% gender gap in literacy rates. The census indicates an overall increase in literacy in India, with a national literacy rate of 74.04%.
Question : P, Q and R together can complete a work in 40 days. P and Q together can complete the same work in 90 days. Then R alone can complete the same work in how many days?
Option 1: 40 days
Option 2: 72 days
Option 3: 84 days
Option 4: 90 days
Correct Answer: 72 days
Solution : Given: P, Q, and R together can complete a work in 40 days and P and Q together can complete the same in 90 days. Total work = Efficiency × Time Total work is LCM of (40, 90) = 360 units Efficiency of (P
Question : The chord of a circle is equal to its radius. Find the difference between the angle subtended by this chord at the minor arc and the major arc of the circle.
Option 1: 30°
Option 2: 120°
Option 3: 60°
Option 4: 150°
Correct Answer: 120°
Solution : The chord AB is equal to the radius of the circle. OA and OB are the two radii of the circle. AB is the chord of the circle. From $\triangle OAB$, AB = OA = OB = radius of the circle ⇒ $\triangle OAB$ is
Question : Directions: How many triangles are there in the given figure?
Option 1: 6
Option 2: 7
Option 3: 8
Option 4: 10
Correct Answer: 7
Solution : The given figure can be labeled as shown below –
There are 7 triangles in the above figure. They are ABC, DEF, AFG, AEH, GBJ, HCI, JDI.
Hence, the second option is correct.
Question : If the numerical values of the height and the area of an equilateral triangle are the same, then the length of each side of the triangle is:
Option 1: 2 units
Option 2: 4 units
Option 3: 5 units
Option 4: 8 units
Correct Answer: 2 units
Solution : Let the side of an equilateral triangle be $a$ units. Let its height be $h$. Using Pythagoras theorem, we get, $a^2 = h^2+(\frac{a}2)^2$ ⇒ $h=\frac{\sqrt{3}}2a$ Area of equilateral triangle = $\frac{\sqrt{3}}{4}a^2$ sq. units According to the question, $\frac{\sqrt{3}}2a=\frac{\sqrt{3}}{4}a^2$ ⇒ $a=2$ units Hence, the correct
Question : Directions: Two horses A and B run at a speed of 3:2 ratio in the first lap, during the second lap the ratio differs by 4:7, and during the third lap their ratio differs by 8:9. What is the difference in the ratio of speed altogether between the two horses?
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 1
Solution : Given: Two horses A and B run at a speed of 3:2 ratio in the first lap, during the second lap their ratio differs by 4:7, and during the third lap, their ratio differs by 8:9.
Let us consider that the common factor for multiplication
Question : Directions: Rocky starts from point A and drives 3 km towards the east. He takes a left turn and drives 4 km. He again takes a left turn and drives 3 km. He takes one more left turn and then drives 2 km and stops at B. How far and towards which direction should he drive to reach point A again?
Option 1: 2 km towards the south
Option 2: 3 km towards the south
Option 3: 3 km towards the east
Option 4: 2 km towards the north
Correct Answer: 2 km towards the south
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and B is the endpoint. AC = 3 km; CD = 4 km; DE = 3 km; EB = 2 km Now, find
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