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Staff Selection Commission Sub Inspector Exam

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Question : Evaluate $\frac{0.04}{0.05}$ of $\frac{\left(3 \frac{1}{3}-2 \frac{1}{2}\right) \div \frac{1}{2} \text { of } 1 \frac{1}{4}}{\frac{1}{3}+\frac{1}{5} \text { of } \frac{1}{9}}$

Option 1: 0.3

Option 2: 5

Option 3: 3

Option 4: 0.03

Team Careers360 25th Jan, 2024

Correct Answer: 3


Solution : Given expression,
$\frac{0.04}{0.05}$ of $\frac{\left(3 \frac{1}{3}-2 \frac{1}{2}\right) \div \frac{1}{2} \text { of } 1 \frac{1}{4}}{\frac{1}{3}+\frac{1}{5} \text { of } \frac{1}{9}}$
= $\frac45\times\frac{(\frac{10}{3}-\frac{5}{2})\div\frac12\times\frac54}{\frac13+\frac15\times\frac19}$
Using the BODMAS rule,
= $\frac45\times\frac{(\frac{20-15}{6})\div\frac12\times\frac54}{\frac13+\frac{1}{45}}$
= $\frac45\times\frac{(\frac{20-15}{6})\div\frac58}{\frac13+\frac{1}{45}}$
= $\frac45\times\frac{\frac56\times\frac85}{\frac{15+1}{45}}$
= $\frac45\times\frac{\frac43}{\frac{15+1}{45}}$
= $\frac45\times\frac{4\times 45}{3\times 16}$
= $\frac{4\times 15}{5\times 4}$
= 3
Hence,

16 Views

Question : Directions: In the following question, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
AMV, FQX, KUZ, __?

Option 1: PYB

Option 2: OXA

Option 3: NYB

Option 4: MYB

Team Careers360 20th Jan, 2024

Correct Answer: PYB


Solution : Given:
AMV, FQX, KUZ, __?

In the given series, add 5, 4, and 2 to the place value of the first, second, and third letters of each term to get the next term –
AMV→A + 5 = F, M + 4 = Q, V

26 Views

Question : Solve the following.
$\frac{24 \div \frac{3}{8} \text { of }(8+2 \times \overline{7-3})+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div \overline{15-7}+75 \div(6+15 \div 3+4)} $

Option 1: $\frac{23}{27}$

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

Option 3: $\frac{11}{18}$

Option 4: $\frac{15}{19}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{11}{18}$


Solution : $⇒\frac{24 \div \frac{3}{8} \text { of }(8+2 \times \overline{7-3})+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div \overline{15-7}+75 \div(6+15 \div 3+4)}$
First, we have to solve Vinculum,
$⇒\frac{24 \div \frac{3}{8} \text { of }(8+2 \times 4)+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div 8+75 \div(6+15 \div 3+4)}$
Now, we have to solve Brackets
$⇒\frac{24

18 Views

Question : Which of the following poems is not written by Sarojini Naidu?

Option 1: A Love Song from the North

Option 2: My Dead Dream

Option 3: In the Forest

Option 4: The Banyan Tree

Team Careers360 24th Jan, 2024

Correct Answer: The Banyan Tree


Solution : The correct answer is The Banyan Tree

"The Banyan Tree" stands as a literary creation by Rabindranath Tagore, while the verses of "A Love Song from the North," "My Dead Dream," and "In the Forest" are attributed to Sarojini Naidu. Not only a

43 Views

Question : The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.

Option 1: 5 : 6

Option 2: 10 : 9

Option 3: 6 : 5

Option 4: 9 : 10

Team Careers360 19th Jan, 2024

Correct Answer: 10 : 9


Solution : The area of a triangle is given by the formula $\frac{1}{2} \times \text{base} \times \text{height}$.
Given that the areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5.
$\frac{\frac{1}{2} \times \text{base}_1

13 Views

Question : Select the most appropriate ANTONYM of the underlined word.
The penitent husband spends days at his wife's grave.

Option 1: Unrepentant

Option 2: Sorry

Option 3: Penniless

Option 4: Pertinent

Team Careers360 14th Jan, 2024

Correct Answer: Unrepentant


Solution : The correct option is the first option.

Explanation:
Unrepentant means not feeling or showing remorse or regret, which contrasts with penitent, someone who feels remorseful or regretful for his actions.

The meanings of the other options are as follows:

  • Sorry: Similar in meaning to a 
3 Views

Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : When the given folded paper is unfolded, it will look like this –

Hence, the first option is correct.

13 Views

Question : Directions: If A denotes +, B denotes ×, C denotes –, and D denotes ÷, then what will come in place of (?) in the following equation?
48 D 12 A ($\sqrt{36}$ B 3) C 19 A 24 = ?

Option 1: 31

Option 2: 27

Option 3: 35

Option 4: 22

Team Careers360 16th Jan, 2024

Correct Answer: 27


Solution : Given:
48 D 12 A ($\sqrt{36}$ B 3) C 19 A 24 = ?

After replacing the letters with the mathematical signs, we get –
= 48 ÷ 12 + ($\sqrt{36}$ × 3) – 19 + 24
= 4 + ($\sqrt{36}$ × 3) – 19

11 Views

Question : Directions: Select the option that represents the letters that when sequentially placed from left to right in the blanks will complete the letter series.
_ad_vk_a_dvv_raa_v_kr

Option 1: avrkadv

Option 2: avrakdv

Option 3: varvkdv

Option 4: avrvada

Team Careers360 14th Jan, 2024

Correct Answer: avrakdv


Solution : Given:
_ad_vk_a_dvv_raa_v_kr

To fill the series, we have to divide the series – _ad_vk_ / a_dvv_r / aa_v_kr
Let's check each option –
First option: avrkadv; aadvvkr / akkdvvar / aadvvkr (No repeated

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