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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Select the most appropriate meaning of the given idiom.

Burn your bridges.

Option 1: To have a fight.

Option 2: To disclose a secret.

Option 3: To be puzzled.

Option 4: To eliminate the possibility of return or retreat.

Team Careers360 11th Jan, 2024

Correct Answer: To eliminate the possibility of return or retreat.


Solution : The fourth option is correct.

Burn your bridges: If you burn your bridges, you do something that forces you to continue with a particular course of action and makes it impossible for you to return to an earlier

104 Views

Question : Directions: If the 19th of December 1992 is Saturday, then what will be the day of the week on the 22nd of December 2009?

Option 1: Saturday

Option 2: Sunday

Option 3: Thursday

Option 4: Tuesday

Team Careers360 14th Jan, 2024

Correct Answer: Tuesday


Solution : Given:
The 19th of December 1992 is Saturday.

First, find the total number of days –
1992→Dec = 31 – 19 = 12
1993 – 2008→(16 × 365) + 4 = 5840 + 4 = 5844
(4 days are added as 1996, 2000, 2004, and

44 Views

Question : An equilateral triangle has sides of 18 cm each. The ratio of the inradius to circumradius of the triangle is:

Option 1: 2 : 1

Option 2: 3 : 2

Option 3: 3 : 4

Option 4: 1 : 2

Team Careers360 20th Jan, 2024

Correct Answer: 1 : 2


Solution : Inradius of equilateral triangle = $\frac{\text{Side}}{2\sqrt{3}}$
Circumradius of equilateral triangle = $\frac{\text{Side}}{\sqrt{3}}$
Required ratio = $\frac{\frac{\text{Side}}{2\sqrt{3}}}{\frac{\text{Side}}{\sqrt{3}}}$
⇒ Required ratio = 1 : 2
Hence, the correct answer is 1 : 2.

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Question : What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5?

Option 1: 3

Option 2: 4

Option 3: 6

Option 4: 8

Team Careers360 24th Jan, 2024

Correct Answer: 6


Solution : Since the number 3426x is not divisible by 5, x cannot be equal to 5 or 0.
As the number 3426x is divisible by 6, it is divisible by 2 and 3.
Hence, x can be an even number. i.e., 2 or 4 or 6

66 Views

Question : Directions: Select the option that is related to the third number in the same way as the first number is related to the second number and the fifth number is related to the sixth number.
46 : 93 :: 38 : ? :: 58 : 117

Option 1: 83

Option 2: 77

Option 3: 81

Option 4: 79

Team Careers360 9th Jan, 2024

Correct Answer: 77


Solution : Given:
46 : 93 :: 38 : ? :: 58 : 117

Multiply the first number by 2 and then add 1 to the resultant, to get the second number –
Like, 46 : 93→46 × 2 + 1 = 93
And, 58 : 117→58

14 Views

Question : If the volume of a cube is 729 cm3, then find the total surface area of the cube.

Option 1: 484 cm2

Option 2: 482 cm2

Option 3: 488 cm2

Option 4: 486 cm2

Team Careers360 24th Jan, 2024

Correct Answer: 486 cm2


Solution : Given:
The volume of a cube = 729 cm³.
⇒ (Side)= 729
⇒ Side = $\sqrt[3]{729}$
⇒ Side = 9 cm
Total surface area of the cube = 6 × (Side)2 = 6 × 92 = 486 cm2

13 Views

Question : Ram left $\frac{1}{3}$rd of his property to his wife and $\frac{3}{5}$th of the remainder to his daughter. He gave the rest to his son, who received Rs. 6,400. How much was his original property worth?

Option 1: Rs. 16,000

Option 2: Rs. 32,000

Option 3: Rs. 24,000

Option 4: Rs. 1,600

Team Careers360 21st Jan, 2024

Correct Answer: Rs. 24,000


Solution : Let the total property of Ram be worth Rs. $x$.
Given: His wife gets Rs. $\frac{x}{3}$
His daughter gets = $\frac{3}{5}$ of $(x–\frac{x}{3})$ = $\frac{3}{5}\times \frac{2x}{3}$ = $\frac{2x}{5}$
His son gets = $x - (\frac{x}{3} + \frac{2x}{5})$
So, 6400 = $x - \frac{11x}{15}$
or,

45 Views

Question : Directions: In a certain code language, DARK is coded as 3501 and READ is coded as 1037. What is the code for K in the given code language?

Option 1: 1

Option 2: 0

Option 3: 5

Option 4: 3

Team Careers360 20th Jan, 2024

Correct Answer: 5


Solution : Given:
1. DARK ⇒ 3501
2. READ ⇒ 1037

After comparing the words DARK and READ and their codes, we get –
The common letters in given words are D/A/R and common code numbers are 3/0/1.
The remaining letters and numbers in DARK are K

107 Views

Question : Directions: In a certain code language, DOCTOR is written as 342745, and PATIENT is written as 8679017. How is RADIANT written in that code language?

Option 1: 5639617

Option 2: 5634627

Option 3: 5639417

Option 4: 5639427

Team Careers360 20th Jan, 2024

Correct Answer: 5639617


Solution : Given:
DOCTOR is written as 342745 and PATIENT is written as 8679017.

On combining the letters of both the given words, the codes for each letter are –
Like, DOCTOR is written as 342745; D→3; O→4; C→2; T→7; O→4; R→5
And, PATIENT is written as

21 Views

Question : Calculate the total number of prime factors in the expression $(4)^{11}×(5)^{5}×(3)^{2}×(13)^{2}$.

Option 1: 30

Option 2: 31

Option 3: 33

Option 4: 32

Team Careers360 22nd Jan, 2024

Correct Answer: 31


Solution : Given: $(4)^{11}×(5)^{5}×(3)^{2}×(13)^{2}$
= $(2^{2})^{11}×(5)^{5}×(3)^{2}×(13)^{2}$
= $(2)^{22}×(5)^{5}×(3)^{2}×(13)^{2}$
If $N = a^m × b^n$, where a and b are prime numbers, then the total number of prime factors $N = m + n$
$\therefore$ Total prime factors = 22 + 5 + 2 + 2 = 31

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