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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : The difference between the compound interest (compounding half-yearly) for 1 year and the simple interest for 1 year on a certain sum lent out at the annual rate of 10% is Rs, 25. What is the sum?

Option 1: Rs. 12000

Option 2: Rs. 6000

Option 3: Rs. 8000

Option 4: Rs. 10000

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 10000


Solution : Given,
Difference between compound interest and simple interest = Rs. 25,
Annual interest rate = 10%
We know,
Compound Interest for 1 year = $P[(1 + \frac{r}{100})^n- 1]$, where $r$ is the annual interest rate and $n$ is the number of compounding periods.
Simple

22 Views

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

Option 1: 12

Option 2: 11

Option 3: 14

Option 4: 10

Team Careers360 19th Jan, 2024

Correct Answer: 12


Solution : The given figure can be labelled as shown below –

There are 12 triangles in the above-labelled figure. Namely, ABF, AFK, AKG, AGC, ABK, AKC, ADH, AIE, ALN, AOM, PNQ, QOR.

Hence, the first option is correct.

25 Views

Question : Directions: If 7 @ 3 = 343 and 9 @ 3 = 729, then 6 @ 3 = ?

Option 1: 144

Option 2: 216

Option 3: 108

Option 4: 36

Team Careers360 20th Jan, 2024

Correct Answer: 216


Solution : Given:
7 @ 3 = 343 and 9 @ 3 = 729

Here, the pattern followed is –
7 @ 3→(7)3 = 343
9 @ 3→(9)3 = 729
Similarly, follow the same pattern for 6 @ 3 –
6 @ 3→(6)3 =

9 Views

Question : The following table shows the quantity of stocks and their average cost. What is the value of the total stock?(in lakh rupees)

  Quantity of stock Average cost(Rs.)
Mobile phones 25 15000
Cameras 80 16000
TVs 54 55000
Refrigerators 41 27000
ACs 64 24000

Option 1: 264

Option 2: 137

Option 3: 72.68

Option 4: 726.8

Team Careers360 23rd Jan, 2024

Correct Answer: 72.68


Solution :

  Quantity of stock Average cost(Rs.)
Mobile phones 25 15000
Cameras 80 16000
TVs 54 55000
Refrigerators 41 27000
ACs 64 24000

Value of Total Stock $=25\times 15000 + 80\times 16000 + 54\times 55000 + 41\times 27000+64\times 24000$
= $375000 + 1280000 + 2970000 + 1107000

22 Views

Question : If $7+3x>3+2x$; and $x+3(x-7)<5-x$; then $x$ can take which of the following values?

Option 1: –5

Option 2: 5

Option 3: 6

Option 4: –6

Team Careers360 20th Jan, 2024

Correct Answer: 5


Solution : Given: $7+3x > 3+2x$ and $x+3(x-7) < 5-x$
$7+3x > 3+2x$
$⇒3x-2x > 3-7$
$⇒x > -4$
Also, $ x+3(x-7) < 5-x$
$⇒x+3x-21 < 5-x$
$⇒5x < 5+21$
$⇒x < \frac{26}{5}$
$⇒x < 5.2$
So, the value of $x$ lies between $-4 < x <

13 Views

Question : Which of the following correctly explains the phenomenon of “Test Tube Baby”?
 

Option 1: When every process of embryo formation is in the test tube.

Option 2: When the embryo develops in a test tube.

Option 3: When the fertilization is external and development is internal.

 

Option 4: When the fertilization is internal and development is external.

Team Careers360 18th Jan, 2024

Correct Answer: When the fertilization is external and development is internal.

 


Solution : The correct answer is When the fertilization is external and development is internal.

A "Test Tube Baby" is a term used in assisted reproductive technology to refer to in vitro fertilisation (IVF), in which fertilisation happens outside

28 Views

Question : When a discount of 20% is given on a sweater, the profit is 28%. If the discount is 14%, then the profit is:

Option 1: 42%

Option 2: 46.4%

Option 3: 33.2%

Option 4: 37.6%

Team Careers360 23rd Jan, 2024

Correct Answer: 37.6%


Solution : Let the cost price of the sweater be Rs. 100 and its marked price is Rs. $x$.
Use: Selling Price = Marked price × $\frac{100 - \text{Discount}\ \%}{100}$ and Profit % = $\frac{\text{Selling Price – Cost Price}}{\text{Cost Price}}×100$
According to the question,
⇒ $\frac{x \times

12 Views

Question : The birthplace of an iconic personality, Amrita Sher-Gil, is

Option 1: Hungary

Option 2: India

Option 3: Austria

Option 4: Poland

Team Careers360 23rd Jan, 2024

Correct Answer: Hungary


Solution : The correct answer is Hungary.

She is regarded as a pioneer of contemporary Indian art and one of the most significant avant-garde female painters in India during the first half of the 20th century. Sher-Gil has always been fascinated by drawing, and at the age

83 Views

Question : The mass of a body measured by a physical balance in a lift at rest is found to be 'm'. If the lift is going up with acceleration 'a', its mass will be measured as:

Option 1: m(1-a/g)

Option 2: m(1+a/g)

Option 3: m

Option 4: zero

Team Careers360 21st Jan, 2024

Correct Answer: m(1+a/g)


Solution : The correct option is m(1+a/g).

The body's measured mass will increase when the lift ascends with acceleration a.

This is due to the apparent weight gain, resulting from the acceleration. The measured mass will be m(1+a/g), where 'm' is the actual mass, 'a' is

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