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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If two qualities of a fruit costing INR 20 per kg and INR 38 per kg are mixed in the ratio of 5 : 4, then find the cost of the mixture per kg (in INR).

Option 1: 30

Option 2: 31

Option 3: 29

Option 4: 28

Team Careers360 25th Jan, 2024

Correct Answer: 28


Solution : Total = 5 + 4 = 9
Quantity of fruit costing INR 20 in the mixture $=\frac{5}{9}$
Quantity of fruit costing INR 38 in the mixture $=\frac{4}{9}$
So, Cost of the mixture $=\frac{5}{9}\times20+\frac{4}{9}\times 38=\frac{100}{9}+\frac{152}{9}=\frac{252}{9}=28$
Hence, the correct answer is INR 28.

7 Views

Question : Directions: Select the related letters from the given alternatives.
SUMO : PRJL :: TAXI : ?

Option 1: QDNF

Option 2: WDXJ

Option 3: QDVF

Option 4: QXUF

Team Careers360 24th Jan, 2024

Correct Answer: QXUF


Solution : Given:
SUMO : PRJL :: TAXI : ?

Subtract 3 from the place value of SUMO to obtain the required code –
S – 3 = P; U – 3 = R; M – 3 = J; O – 3 = L
Thus, SUMO is

14 Views

Question : Shovana Narayan, a famous Kathak dancer, received the ___________ in 1992.

Option 1: Padma Bhushan

Option 2: Kalidas Samman

Option 3: Kabir Puraskar

Option 4: Padma Shri

Team Careers360 25th Jan, 2024

Correct Answer: Padma Shri


Solution : The correct answer is Padma Shri.

Shovana Narayan is a well-known Kathak dancer from India. In addition to her career as a career officer in the Indian Audit and Accounts Service, she is also dedicated to the art of Kathak dance. She has

9 Views

Question : What is the value of $(a^2+b^2+4c^2-ab-2bc-2ca)(a+b+2c)$?

Option 1: $a^3 + b^3 + 8c^3 – 8abc$

Option 2: $a^3 + b^3 + 6c^3 – 4abc$

Option 3: $4a^3 + b^3 + 8c^3 – 9abc$

Option 4: $a^3 + b^3 + 8c^3 – 6abc$

Team Careers360 24th Jan, 2024

Correct Answer: $a^3 + b^3 + 8c^3 – 6abc$


Solution : $(a^2+b^2+4c^2-ab-2bc-2ca)(a+b+2c)$
$= a^3+b^2a+4c^2a-a^2b-2abc-2ca^2 + a^2b+b^3+4c^2b-ab^2-2b^2c-2abc + 2a^2c+2b^2c+8c^3-2abc-4bc^2-4c^2a$
$= a^3+b^3+8c^3-2abc-2abc-2abc+b^2a-ab^2+4c^2a-4c^2a-a^2b+ a^2b-2ca^2 + 2a^2c-2b^2c+2b^2c-4bc^2+4c^2b$
$= a^3+b^3+8c^3-6abc$
Hence, the correct answer is $ a^3+b^3+8c^3-6abc$.

16 Views

Question : If a + b + c = 0, then the value of (a + b – c)+ ( b + c – a)+ ( c + a – b)is:

Option 1: 0

Option 2: 8abc

Option 3: 4(a+ b+ c2)

Option 4: 4(ab + bc + ca)

Team Careers360 25th Jan, 2024

Correct Answer: 4(a+ b+ c2)


Solution : a + b + c=0
⇒ a + b = –c --------------(i)
⇒ b + c = –a --------------(ii)
⇒ c + a = –b --------------(iii)
Substituting (i), (ii) and (iii) in (a + b – c)

11 Views

Question : Which of the following was the host of ICC U19 Cricket World Cup 2022?

Option 1: Bangladesh

Option 2: Australia

Option 3: West Indies

Option 4: India

Team Careers360 24th Jan, 2024

Correct Answer: West Indies


Solution : The correct answer is West Indies.

The 2022 ICC Under-19 Cricket World Cup took place in the West Indies in January and February 2022, featuring sixteen participating teams. This marked the fourteenth edition of the tournament and the first time it was hosted in

20 Views

Question : The state electricity board gives a 15% discount on electric bills if it is paid before the due date. One person gets INR 54 as a discount. The amount of the actual bill was:

Option 1: INR 362

Option 2: INR 359

Option 3: INR 360

Option 4: INR 361

Team Careers360 24th Jan, 2024

Correct Answer: INR 360


Solution : Let $x$ be the actual bill amount
Discount = 15% of $x$
Discount% = $\frac{\text{Discount}}{\text{Actual Price}}$ × 100%
⇒ INR 54 = 15% of $x$
⇒ $x$ = $\frac{5400}{15}$ = INR 360
Hence, the correct answer is INR 360.

24 Views

Question : The average of 30 numbers is 40 and that of the other 40 numbers is 30. The average of all the numbers is:

Option 1: $34\frac{2}{7}$

Option 2: $35$

Option 3: $34$

Option 4: $34.5$

Team Careers360 25th Jan, 2024

Correct Answer: $34\frac{2}{7}$


Solution : The sum of 30 numbers = 30 × 40 = 1200
The sum of 40 numbers = 30 × 40 = 1200
An average of 70 numbers is
$=\frac{1200+1200}{30+40}=\frac{2400}{70}=34\frac{2}{7}$
Hence, the correct answer is $34\frac{2}{7}$.

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