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Staff Selection Commission Sub Inspector Exam

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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 +

Team Careers360 18th Jan, 2024

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 –
=

12 Views

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

Team Careers360 18th Jan, 2024

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,
$x + y = 3 (x - y)$
$⇒  x + y = 3x - 3y$

130 Views

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

Team Careers360 24th Jan, 2024

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

11 Views

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

Team Careers360 25th Jan, 2024

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
⇒ $P$

23 Views

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

Team Careers360 23rd Jan, 2024

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

39 Views

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

Team Careers360 18th Jan, 2024

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

123 Views

Question : A sum of money amounts to INR 1,200 in 2 years and becomes INR 1,260 in 3 years at compound interest when interest is compounded annually. What is the rate of compound interest per annum?

Option 1: 5%

Option 2: 3%

Option 3: 4%

Option 4: 6%

Team Careers360 22nd Jan, 2024

Correct Answer: 5%


Solution : Let the rate of interest per annum as \( R \) 
Given:
After 2 years, the amount is INR 1,200
After 3 years, the amount is INR 1,260
So, interest during the third year = interest on the amount of the second year
⇒ 1260

17 Views

Question : Identify the correct statement about gravity.

Option 1: The unit of g is the same as that of velocity.

Option 2: The unit of g is the same as that of friction.

Option 3: The unit of g is the same as that of mass.

Option 4: The unit of g is the same as that of acceleration.

Team Careers360 22nd Jan, 2024

Correct Answer: The unit of g is the same as that of acceleration.


Solution : The correct option is The unit of g is the same as that of acceleration.

In the context of gravity, "g" typically represents the acceleration due to gravity. The standard unit for acceleration in

21 Views

Question : Directions: Which number will replace the question mark (?) in the following number series?
52, 42, 34, 28,?

Option 1: 24

Option 2: 22

Option 3: 26

Option 4: 28

Team Careers360 18th Jan, 2024

Correct Answer: 24


Solution : Given:
52, 42, 34, 28,?

Subtract even numbers starting from 10 in decreasing order, to get the required missing number –
52 – 10 = 42; 42 – 8 = 34; 34 – 6 = 28; 28 – 4 = 24

So, 24 is the

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