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Staff Selection Commission Combined Higher Secondary Level Exam

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16 Views

Question : A vendor loses the selling price of 4 oranges on selling 36 oranges. His loss percent is:

Option 1: $12\frac{1}{2}\%$

Option 2:

$9\%$

Option 3:

$10\%$

Option 4:

$11\frac{1}{2}\%$

Team Careers360 25th Jan, 2024

Correct Answer:

$10\%$


Solution : Let the selling price of one orange = Re. 1
The selling price of 36 oranges = Rs. 36
Loss on 36 oranges = Rs. 4
The cost price of 36 oranges = 36 + 4 = Rs. 40
Loss percentage = $\frac{\text{Loss}}{\text {Cost Price}}$

24 Views

Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
183, 173, 153, 123, 83, ?

Option 1: 43

Option 2: 33

Option 3: 23

Option 4: 53

Team Careers360 25th Jan, 2024

Correct Answer: 33


Solution : Given:
183, 173, 153, 123, 83, ?

Subtract multiples of 10 to the previous number to obtain the next number.
183 – 10 = 173, 173 – 20 = 153, 153 – 30 = 123, 123 – 40 = 83, 83 – 50 = 33

7 Views

Question : Let ABC be a triangle right-angled at B. If $\tan A = \frac{12}{5}$, then find the values of $\operatorname{cosec A}$ and $\sec A$, respectively.

Option 1: $\frac{13}{10}, \frac{5}{13}$

Option 2: $\frac{13}{12},\frac{13}{5}$

Option 3: $\frac{10}{13}, \frac{5}{13}$

Option 4: $\frac{12}{13}, \frac{5}{13}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{13}{12},\frac{13}{5}$


Solution : Given, $\tan A=\frac{12}{5}$
$\tan A = \frac{\text{perpendicular}}{\text{base}}$
Using pythagoras theorem,
$\small\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$
⇒ $h^2=5^2+12^2$
⇒ $h^2=25+144$
⇒ $h^2=169$
⇒ $h=13$
$\therefore$ $\operatorname{cosec A}=\frac{\text{Hypotenuse}}{\text{Perpendicular}}=\frac{13}{12}$
And, $\sec A=\frac{\text{Hypotenuse}}{\text{Base}}=\frac{13}{5}$
Hence, the correct answer is $\frac{13}{12},\frac{13}{5}$.

14 Views

Question : If $\theta$ is a positive acute angles and $\operatorname{cosec}\theta =\sqrt{3}$, then the value of $\cot \theta -\operatorname{cosec}\theta$ is:

Option 1: $\sqrt2-\sqrt3$

Option 2: $\frac{\sqrt{2}(3+\sqrt{3})}{3}$

Option 3: $\frac{\sqrt{2}(3-\sqrt{3})}{3}$

Option 4: $\frac{3\sqrt{2}+\sqrt{3}}{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $\sqrt2-\sqrt3$


Solution : Given: $\operatorname{cosec}\theta=\sqrt3$
$⇒\frac{1}{\sin\theta}=\sqrt3$
$⇒\sin\theta=\frac{1}{\sqrt3}$
We know that,
$\cos\theta = \sqrt{1-\sin^2\theta}=\sqrt{1-(\frac{1}{\sqrt3})^2}=\sqrt{1-\frac{1}{3}}=\sqrt\frac{2}{3}$
So, $\cot\theta-\operatorname{cosec}\theta$
$=\frac{\cos\theta}{\sin\theta}-\operatorname{cosec}\theta$
$=\frac{\sqrt\frac{2}{3}}{\frac{1}{\sqrt3}}-\sqrt3$
$=\sqrt\frac{2}{3}×\sqrt3-\sqrt3$
$=\sqrt2-\sqrt3$
Hence, the correct answer is $\sqrt2-\sqrt3$.

18 Views

Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
HPA, FMZ, DJY, BGX, ?

Option 1: ZDW

Option 2: ZEV

Option 3: YDW

Option 4: YEV

Team Careers360 25th Jan, 2024

Correct Answer: ZDW


Solution : Given:
HPA, FMZ, DJY, BGX, ?

Here, subtract 2, 3, and 1 in the first, second, and third letters respectively to obtain the letters of the next term.
HPA→H – 2 = F; P – 3 = M; A – 1 = Z→FMZ
FMZ→F –

4 Views

Question : Directions: In the following question, find the odd letter cluster from the given alternatives.

Option 1: VNHK

Option 2: MONR

Option 3: NQMJ

Option 4: NBJM

Team Careers360 25th Jan, 2024

Correct Answer: MONR


Solution : Let's check the options –
First option: VNHK; None of the letters V, N, H, and K are vowels.
Second option: MONR; The letter O is a vowel.
Third option: NQMJ; None of the letters N, Q, M, and J are vowels.
Fourth option: NBJM;

60 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.
The politician used a/an mild and indirect word to describe the controversial policy, in order to soften the blow.

Option 1: oxymoron

Option 2: metaphor

Option 3: euphemism

Option 4: hyperbole

Team Careers360 25th Jan, 2024

Correct Answer: euphemism


Solution : The correct choice is the third option.

The most appropriate option to substitute the underlined segment in the sentence is euphemism.
Euphemism
 refers to the use of a word or phrase in place of one that might be considered too harsh, blunt, or unpleasant.

The

27 Views

Question : Find the part of the given sentence that has an error in it. If there is no error, choose ‘No error’.
The inflow of foreign portfolio funds into Indian equities have pushed up price-earning multiples and valuation.

Option 1: up price-earning multiples and valuation.

Option 2: The inflow of foreign portfolio funds

Option 3: No error

Option 4: into Indian equities have pushed

Team Careers360 25th Jan, 2024

Correct Answer: into Indian equities have pushed


Solution : The correct answer is the fourth option.

According to the subject-verb agreement rule, the verb must agree with the subject in number. If the subject is singular, the verb should be singular, and if the subject is plural, the verb should

16 Views

Question : Chromosomes consists of

Option 1: DNA and lipids

Option 2: RNA and amino acids

Option 3: DNA and proteins

Option 4: RNA and sugar

Team Careers360 25th Jan, 2024

Correct Answer: DNA and proteins


Solution : The correct answer is DNA and proteins.

Chromosomes are made up of DNA and protein. DNA is the genetic material that holds the instructions for the construction and maintenance of an organism. Proteins are molecules that perform several critical roles in the body,

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