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Staff Selection Commission Sub Inspector Exam

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51 Views

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

Team Careers360 23rd Jan, 2024

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

15 Views

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

Team Careers360 24th Jan, 2024

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

22 Views

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

Team Careers360 25th Jan, 2024

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

16 Views

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%

Team Careers360 25th Jan, 2024

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%.

24 Views

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

Team Careers360 22nd Jan, 2024

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

49 Views

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°

Team Careers360 23rd Jan, 2024

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

4 Views

Question : Directions: How many triangles are there in the given figure?

Option 1: 6

Option 2: 7

Option 3: 8

Option 4: 10

Team Careers360 22nd Jan, 2024

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.

41 Views

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

Team Careers360 24th Jan, 2024

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

13 Views

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

Team Careers360 23rd Jan, 2024

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

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