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Staff Selection Commission Sub Inspector Exam

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Question : Parts of the following sentence have been underlined and given as options. Select the option that contains an error.
Have they been work in that particular shop for several years?

Option 1: work

Option 2: been

Option 3: for

Option 4: Have

Team Careers360 18th Jan, 2024

Correct Answer: work


Solution : The first option is the correct choice.

Explanation: The correct sentence uses the present participle form "working" after the auxiliary verb "have." When forming the present perfect continuous tense, we use "have/has been" followed by the present participle (verb + ing). In this

13 Views

Question : If $\tan 45^{\circ}+\sec 60^{\circ}=x$, find the value of $x$.

Option 1: 1

Option 2: 4

Option 3: 3

Option 4: 2

Team Careers360 20th Jan, 2024

Correct Answer: 3


Solution : Given: $\tan 45^{\circ}+\sec 60^{\circ}=x$
⇒ $1+2=x$
$\therefore x=3$
Hence, the correct answer is 3.

10 Views

Question : A sum of Rs. 2420 is accumulated in 2 years at 10% Compound Interest on a certain amount. Then the original amount is:

Option 1: Rs. 1000

Option 2: Rs. 2000

Option 3: Rs. 1500

Option 4: Rs. 2500

Team Careers360 18th Jan, 2024

Correct Answer: Rs. 2000


Solution : Total amount = Rs. 2420
Rate, $R$ = 10%
Time, $n$ = 2
Let $P$ be the sum.
Total amount = $P(1+\frac{R}{100})^{n}$ where $P$ is principal, $R$ is the rate of interest per annum compounded annually and $n$ is time in years.
⇒ 2420

11 Views

Question : The wire of flashbulbs is made up of

Option 1: Magnesium

Option 2: Barium

Option 3: Copper

Option 4: Silver

Team Careers360 18th Jan, 2024

Correct Answer: Magnesium


Solution : The correct option is Magnesium.

The wire in flash bulbs is made of magnesium (Mg). When an electric current passes through the magnesium wire, it rapidly oxidizes, producing an intense burst of light. This combustion reaction is highly exothermic and provides the brief and intense

18 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.

He is a weak student and somehow pulled over the exams.

Option 1: pulled through

Option 2: pulled down

Option 3: pulled up

Option 4: pulled together

Team Careers360 21st Jan, 2024

Correct Answer: pulled through


Solution : The correct choice is the second option.

The phrase pulled through is used to express successfully overcoming a difficult situation, which fits the context of exams. It conveys the idea that, despite being a weak student, the person managed to succeed or pass the

30 Views

Question : Pipes A, B and C can fill a tank in 10, 15 and 30 hours, respectively. D is an emptying pipe which alone can empty the full tank in $x$ hours. A, B and C are opened together for 3 hours and then closed. Now D is opened which alone empties the tank in 30 hours. What is the value of $x$?

Option 1: 50

Option 2: 40

Option 3: 60

Option 4: 45

Team Careers360 24th Jan, 2024

Correct Answer: 50


Solution : Let the capacity of the tank as $V$. 
The rates at which pipes A, B, and C fill the tank are $\frac{V}{10}$, $\frac{V}{15}$, and $\frac{V}{30}$ units per hour, respectively.
The rate at which pipe D empties the tank is $\frac{V}{x}$ units per hour.
In the

17 Views

Question : Directions: The histogram shows the marks obtained by 45 students of a class. look at the histogram and answer the questions.

How many students have obtained 30 or more marks but than less 40?

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 6

Team Careers360 22nd Jan, 2024

Correct Answer: 3


Solution : From the histogram provided,
The students who obtained 30 or more marks but than less 40 are the students who are in the class interval 30 – 40 = 3
Hence, the correct answer is 3.

26 Views

Question : In the given figure, PAB is a secant and PT is a tangent to the circle from P. If PT = 5 cm, PA = 4 cm and AB = x cm, then x is: 

Option 1: $\frac{4}9$ cm

Option 2: $\frac{9}4$ cm

Option 3: 5 cm

Option 4: $\frac{2}{3}$ cm

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{9}4$ cm


Solution : Given, PT = 5 cm, PA = 4 cm and AB = x cm,
Secant PB = (4 + x) cm.
As we know when a tangent and secant are drawn from a common point outside the circle, then the square of the tangent

11 Views

Question : Simplify the following:
$\mathrm{(1+cot^2\theta)(1-cos\theta)(1+cos\theta)}$

Option 1: 1

Option 2: –5

Option 3: 3

Option 4: –3

Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : $\mathrm{(1+cot^2\theta)(1-cos\theta)(1+cos\theta)}$
$=\mathrm{(1+cot^2\theta)(1-cos^2\theta)}$
$=\mathrm{(cosec^2\theta)(sin^2\theta)}$
$=1$
Hence, the correct answer is 1.

25 Views

Question : In which year was the Jammu and Kashmir Legislative Council abolished?

Option 1: 2019

Option 2: 2020

Option 3: 2022

Option 4: 2021

Team Careers360 19th Jan, 2024

Correct Answer: 2019


Solution : The correct option is 2019.

The Jammu and Kashmir Legislative Council was formally abolished on October 31, 2019. This followed the passage of the Jammu and Kashmir Reorganisation Act, 2019, which reorganised the state into the Union Territories of Jammu Kashmir and Ladakh. As

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