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Staff Selection Commission Sub Inspector Exam

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Question : Which athlete won a Gold Medal for India in the Men's triple jump event after a gap of 48 years in the Asian Games?

Option 1: Amarjeet Singh

Option 2: Arpinder Singh

Option 3: Renjith Maheshwary

Option 4: Rakesh Babu

Team Careers360 23rd Jan, 2024

Correct Answer: Arpinder Singh


Solution : The correct option is Arpinder Singh.

Arpinder Singh achieved a historic milestone for India in the Men's triple jump event at the Asian Games held in Jakarta. His remarkable performance secured a Gold Medal, marking the end of a 48-year gap since India's

14 Views

Question : If A is an acute angle and cot A + cosec A = 3, then the value of sin A is:

Option 1: $1$

Option 2: $\frac{3}{5}$

Option 3: $\frac{4}{5}$

Option 4: $0$

Team Careers360 18th Jan, 2024

Correct Answer: $\frac{3}{5}$


Solution : Given:
cot A + cosec A = 3.....................(1)
By using the identities: cosec2A – cot2A = 1
⇒ (cosec A + cot A) (cosec A – cot A) = 1
⇒ cosec A – cot A = $\frac{1}{3}$....................(2)
On adding both

34 Views

Question : Study the given pie chart carefully and answer the question that follows. The degree-wise break-up of expenditure of a family in a Month.
Total amount spent in a month = INR 56800.


What is the amount spent by the family on housing?

Option 1: INR 11,814

Option 2: INR 6,248

Option 3: INR 10,615

Option 4: INR 12,496

Team Careers360 16th Jan, 2024

Correct Answer: INR 12,496


Solution : Total amount spent in a month = INR 56800
Amount spent on housing (in degrees) = 79.2°
We know, amount spent = $\frac{\text{Given angle}}{\text{Total angle}}\times\text{Total amount spent}=\frac{79.2°}{360°}\times 56800=12496$
Hence, the correct answer is INR 12,496.

46 Views

Question : In what proportion should a grocer mix wheat at INR 12 per kg and INR 25 per kg to make a mixture of worth INR 20 per kg?

Option 1: 8 : 3

Option 2: 3 : 5

Option 3: 5 : 8

Option 4: 5 : 7

Team Careers360 21st Jan, 2024

Correct Answer: 5 : 8


Solution : Given: 1st wheat = INR 12
2nd wheat = INR 25
Mixture of wheats = INR 20
By using the alligation method:

1st wheat : 2nd wheat = 5 : 8
Hence, the correct answer is 5 : 8.

14 Views

Question : Directions: The given pie chart shows the cars sold by a company in 2015-2016 of different models.

If the number of cars sold of model C is 22,000, then what will be the difference in the number of cars sold of model A and B? 

Option 1: 800

Option 2: 1,200

Option 3: 1,000

Option 4: 1500

Team Careers360 22nd Jan, 2024

Correct Answer: 1,000


Solution : Number of cars sold of model C = $22,000$
$110^{\circ}$ ⇒ $22,000$
$1^{\circ}$ ⇒ $\frac{22000}{110}$ = $200$ -----------(i)
Number of cars sold of model A ⇒ $45^{\circ}$
Number of cars sold of model B ⇒ $40^{\circ}$
The difference in the number of cars sold of

14 Views

Question : Which among the following is the habitat of 'Dogfish'?

Option 1: River

Option 2: Sea

Option 3: Lake

Option 4: Marsh

Team Careers360 20th Jan, 2024

Correct Answer: Sea


Solution : The correct option is Sea

Dogfish, also known as cartilage-forming fish, are found in marine habitats, including cold and temperate oceans, in both shallow and deep waters. They live in coastal environments, estuaries, continental shelves, slopes, and open oceans, where certain species have been

42 Views

Question : According to the Koppen classification, which regions experience cold, humid winters with short summers?

Option 1: Western Rajasthan

Option 2: Northern Madhya Pradesh

Option 3: South of Goa

Option 4: Arunachal Pradesh

Team Careers360 24th Jan, 2024

Correct Answer: Arunachal Pradesh


Solution : The correct answer is Arunachal Pradesh.

Koppen's classification of climatic regions of India is based on mean annual and major monthly temperature and precipitation data. The areas that experience cold, humid winters with short summers are Arunachal Pradesh, Sikkim and some parts of Assam.

29 Views

Question : If $\cos A=\frac{1}{11}$, then find the value of cot A.

Option 1: $\frac{2 \sqrt{30}}{11}$

Option 2: $2 \sqrt{30}$

Option 3: $\frac{1}{2 \sqrt{30}}$

Option 4: $\frac{11}{2 \sqrt{30}}$

Team Careers360 18th Jan, 2024

Correct Answer: $\frac{1}{2 \sqrt{30}}$


Solution : Given,
$\cos A=\frac{1}{11}$
We know, $\sin^2\theta+\cos^2\theta=1$
⇒ $\sin^2A+\cos^2A=1$
⇒ $\sin^2A+\frac{1}{11^2}=1$
⇒ $\sin^2A=1-\frac{1}{121}$
⇒ $\sin^2A=\frac{121-1}{121}$
⇒ $\sin^2 A=\frac{120}{121}$
⇒ $\sin A=\sqrt{\frac{120}{121}}$
⇒ $\sin A=\frac{2\sqrt{30}}{11}$
⇒ $\cot A = \frac{\cos A}{\sin A}$
⇒ $\cot A = \frac{\frac{1}{11}}{\frac{2\sqrt{30}}{11}}$
⇒ $\cot A=\frac{1}{2\sqrt{30}}$
Hence, the correct answer is $\frac{1}{2\sqrt{30}}$.

12 Views

Question : What will be the net discount (in percentage) after the two successive discounts of 40% and 20%?

Option 1: 60%

Option 2: 68%

Option 3: 52%

Option 4: 42%

Team Careers360 15th Jan, 2024

Correct Answer: 52%


Solution : Given: First discount = 40% and second discount = 20%
Net discount = $(x+y-\frac{xy}{100})$%, where $x$ and $y$ are two successive discounts.
= $40+20-\frac{\text{40×20}}{100}$
= $60-\frac{\text{800}}{100}$
= $60-8$
= $52$
So, the net discount = 52%
Hence, the correct answer is 52%.

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