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Staff Selection Commission Sub Inspector Exam

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23 Views

Question : The value of $99\frac{95}{99} × 99$ is:

Option 1: 9798

Option 2: 9997

Option 3: 9898

Option 4: 9896

Team Careers360 24th Jan, 2024

Correct Answer: 9896


Solution : Given:
$99\frac{95}{99}×99$
= $\frac{99×99+95}{99}×99$
= 99 × 99 + 95
= 9801 + 95
= 9896
Hence, the correct answer is 9896.

16 Views

Question : If $W_{1}:W_{2}= 2:3$ and $W_{1}:W_{3}= 1:2$, then $W_{2}:W_{3}$ is:

Option 1: 3 : 4

Option 2: 4 : 3

Option 3: 2 : 3

Option 4: 4 : 5

Team Careers360 23rd Jan, 2024

Correct Answer: 3 : 4


Solution : $W_{1}:W_{2}= 2:3$
and $W_{1}:W_{3}= 1:2$
Equalising the ratio as $W_1$ is common in both, 2 is multiplied in $W_{1}:W_{3}= 2:4$
The ratio becomes
$W_{1}:W_{2}:W_3= 2:3:4$
So, the ratio of $W_{2}:W_{3}$ is $3:4$.
Hence, the correct answer is 3 : 4.

15 Views

Question : Directions: In the following question, choose the correct alternative which will improve the part of the sentence given in quotes.

Sumathi was "a industriously" and willing worker.

  1. an industrious
  2. a industrious
  3. an industriously
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 23rd Jan, 2024

Correct Answer: 1


Solution : The correct choice is the first option.

Explanation: The word "a industriously" should be replaced with "an industrious" to convey the intended meaning that Sumathi was a hardworking and willing worker. Adverbs modify verbs, adjectives, or other adverbs, but in this sentence, we

9 Views

Question : Select the most appropriate ANTONYM of the given word.
DIVERGE

Option 1: branch

Option 2: divide

Option 3: stray

Option 4: collect

Team Careers360 25th Jan, 2024

Correct Answer: collect


Solution : The correct choice is the fourth option.

Explanation:
Diverge means to move or extend in different directions from a common point. Its opposite would be to come together or gather, which aligns with the meaning of collect.

The meanings of the other options are

16 Views

Question : Directions: Shalu walks 30 m north, then she turns right and walks 30 m then she turns right and walks 55 m. Then she turns left and walks 20 m. Then she again turns left and walks 25 m. How many meters away and in which direction is she from her original position?

Option 1: 20 m, South

Option 2: 10 m, North

Option 3: 30 m, North

Option 4: 50 m, East

Team Careers360 25th Jan, 2024

Correct Answer: 50 m, East


Solution : Firstly, we will draw the diagram as per the given instructions –

From the above diagram, the distance between the starting and the endpoint is 50 m and the endpoint is in the East direction from the starting point.

So, Shalu is in

8 Views

Question : Directions: Which answer figure will complete the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –

Hence, the first option is correct.

59 Views

Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required'.
Lily has dedicate her life towards becoming a doctor.

Option 1: had dedicate

Option 2: is dedicate

Option 3: No improvement required

Option 4: has dedicated

Team Careers360 21st Jan, 2024

Correct Answer: has dedicated


Solution : The correct answer is the fourth option.

"Dedicate" should be in the past participle form, which is "dedicated" in this case, to match the auxiliary verb "has". The given sentence is in the present perfect tense indicating that Lily has already completed the action

20 Views

Question : What is the average of the squares of the first 19 natural numbers?

Option 1: 124

Option 2: 127.5

Option 3: 130

Option 4: 133.5

Team Careers360 25th Jan, 2024

Correct Answer: 130


Solution : Given: 19 natural numbers.
Sum of first n natural numbers = $\frac{\text{n(n+1)(2n+1)}}{6}$
Sum of first 19 natural numbers = $\frac{\text{19(19+1)(2×19+1)}}{6}$ = $\frac{\text{14820}}{6}$ = 2470
Average of these numbers = $\frac{\text{Sum of first 19 natural numbers}}{19}$ = $\frac{\text{2470}}{19}$ = 130
Hence, the correct answer is 130.

21 Views

Question : What is the simplified value of:
$7 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}-\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)-\frac{5}{24}$

Option 1: $1$

Option 2: $2$

Option 3: $\frac{1}{24}$

Option 4: $\frac{1}{12}$

Team Careers360 22nd Jan, 2024

Correct Answer: $1$


Solution : $7 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}-\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)-\frac{5}{24}$
$= \frac{22}{3} \div  \frac{5}{2}\times \frac{8}{5}-\left(\frac{3}{8}+\frac{1}{7} \times  \frac{7}{4}\right)-\frac{5}{24}$
$= \frac{22}{3} \div  4-\left(\frac{3}{8}+\frac{1}{4} \right)-\frac{5}{24}$
$= \frac{22}{12}-\left(\frac{5}{8} \right)-\frac{5}{24}$
$= \frac{44-15-5}{24}$
$= \frac{24}{24}$
$=1$
Hence, the correct answer is $1$.

9 Views

Question : After allowing a 10% discount, a dealer wishes to sell a machine for Rs. 2,700. At what price must the machine be marked?

Option 1: Rs. 270

Option 2: Rs. 3,000

Option 3: Rs. 2,970

Option 4: Rs. 2,430

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. 3,000


Solution : Discount = 10% of marked price
Selling price = Rs. 2,700
$\therefore$ Marked Price = $\frac{2700×100}{90}$ = Rs. 3,000
Hence, the correct answer is Rs. 3,000.

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