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Staff Selection Commission Sub Inspector Exam

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Question : If $(2000)^{10} = 1.024×10^{k}$, then the value of $k$ is:

Option 1: 33

Option 2: 30

Option 3: 34

Option 4: 31

Team Careers360 16th Jan, 2024

Correct Answer: 33


Solution : Given: $(2000)^{10} = 1.024×10^{k}$
⇒ $(2×1000)^{10} = \frac{1024}{1000}×10^{k}$
⇒ $2^{10}×10^{30} = 2^{10}×10^{k–3}$
⇒ $10^{30} =10^{k-3}$
By comparing the powers, we get:
$(k-3) = 30$
$\therefore k = 33$
Hence, the correct answer is 33.

18 Views

Question : In what type of rainfall do winds move out of a high-pressure area, with wind direction clockwise in the northern hemisphere and anti-clockwise in the southern hemisphere?

Option 1: Orography

Option 2: Cyclones

Option 3: Anticyclone

Option 4: Convection

Team Careers360 9th Jan, 2024

Correct Answer: Anticyclone


Solution : The correct answer is Anticyclone.

An anticyclone is a meteorological phenomenon characterised by a large-scale circulation of winds around a central area of high atmospheric pressure. In the Northern Hemisphere, the winds rotate clockwise, while in the Southern Hemisphere, they rotate anticlockwise when viewed from

7 Views

Question : Directions: If + means –, – means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
14 – 7 ÷ 42 × 6 + 33 = ?

Option 1: 72

Option 2: 84

Option 3: 68

Option 4: 56

Team Careers360 18th Jan, 2024

Correct Answer: 72


Solution : Given:
+ means –, – means ×, × means ÷, ÷ means +
14 – 7 ÷ 42 × 6 + 33 = ?

After interchanging the signs the equation becomes –
14 × 7 + 42 ÷ 6 – 33 = ?
14 ×

Question : Directions: In a code language, food is fresh is coded as dy in pq, bring fresh food is coded as tq pq dy, and food is hot is coded as dy in to. What is the code for the word fresh?

Option 1: In

Option 2: to

Option 3: pq

Option 4: dy

Team Careers360 18th Jan, 2024

Correct Answer: pq


Solution : Given:
1. food is fresh ⇒ dy in pq
2. bring fresh food ⇒ tq pq dy
3. food is hot ⇒ dy in to

By comparing all the coded sentences, we find that –
In sentences 1 and 2, food and fresh are common

17 Views

Question : In a test consisting of 140 questions, a candidate correctly answered 70% of the first 80 questions. What percentage of the remaining questions does the candidate need to correctly answer to score 60% on the test?

Option 1: $35\%$

Option 2: $46 \frac{2}{3}\%$

Option 3: $45 \frac{1}{3}\%$

Option 4: $40\%$

Team Careers360 11th Jan, 2024

Correct Answer: $46 \frac{2}{3}\%$


Solution : According to the question,
Correctly answered in first 80 questions = 0.7 × 80 = 56
Remaining questions = 140 − 80 = 60
Target correct answers = 0.6 × 140 = 84
Now,
Remaining correct answers needed = Target correct answers − Correctly

21 Views

Question : Which of the following statements is true?

Option 1: Dehusked cereals and pulses are more nutritious.

Option 2: Whole-grain cereals and pulses are more nutritious.

Option 3: Processed cereal products are nutrient-dense.

Option 4: Breakfast cereals are nutrient-dense.

Team Careers360 16th Jan, 2024

Correct Answer: Whole-grain cereals and pulses are more nutritious.


Solution : The correct option is Whole-grain cereals and pulses are more nutritious.

Because they contain all three components of the grain or pulse, including the bran, germ and endosperm, which are rich in vitamins, minerals, and fibre, whole grain

10 Views

Question : The ratio of the total surface area and volume of a sphere is 2 : 7. Its radius is:

Option 1: 7.5 cm

Option 2: 10.5 cm

Option 3: 10 cm

Option 4: 7 cm

Team Careers360 20th Jan, 2024

Correct Answer: 10.5 cm


Solution : Let the radius of the sphere be $r$.
Total surface area of the sphere = $4 \pi r^2$
Volume of the sphere = $\frac{4}{3} \pi r^3$
According to the question,
$4 \pi r^2 : \frac{4}{3} \pi r^3 = 2 : 7$
⇒ $\frac{3}{r} =

2 Views

Question : The price of one shirt is INR 700 in a shop, on which a 10% discount is available for all customers. An additional 20% discount is there for the customers who pay in cash. What is the amount a customer has to pay for a shirt if he pays in cash?

Option 1: INR 432

Option 2: INR 504

Option 3: INR 523

Option 4: INR 514

Team Careers360 14th Jan, 2024

Correct Answer: INR 504


Solution : The marked price of the shirt = INR 700
1st discount = 10%
2nd discount = 20%
We know that,
For two successive discounts selling price
= $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
= $\frac{100-10}{100}× \frac{100-20}{100}×700$
= $\frac{90}{100}× \frac{80}{100}×700$
= $504$
Hence, the correct answer is

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