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Staff Selection Commission Sub Inspector Exam

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Question : For a triangle ABC, D and E are two points on AB and AC such that $\mathrm{AD}=\frac{1}{6} \mathrm{AB}$, $\mathrm{AE}=\frac{1}{6} \mathrm{AC}$. If BC = 22 cm, then DE is _______. (Consider up to two decimals)

Option 1: 1.33 cm

Option 2: 1.67 cm

Option 3: 3.67 cm

Option 4: 3.33 cm

Team Careers360 20th Jan, 2024

Correct Answer: 3.67 cm


Solution :
D is a point on AB such that
AD = $\frac{1}{6}$AB and E is a point on AC such that AE = $\frac{1}{6}$AC
DE is joined.
BC = 22 cm
In triangle ADE and triangle ABC,
$\frac{AD}{AB}=\frac{AE}{EC}$
In a similar triangle, the ratio of

26 Views

Question : Which of the following is an autobiography of the international tennis player Andre Agassi?

Option 1: Open: An Autobiography

Option 2: Becoming

Option 3: Too Many Reasons to Live

Option 4: Me

Team Careers360 21st Jan, 2024

Correct Answer: Open: An Autobiography


Solution : The correct answer is Open: An autobiography.

Andre Agassi is an American former World number 1 tennis player. He is widely considered one of the greatest tennis players. He is an eight-time major champion and an Olympic gold medalist. Agassi was

36 Views

Question : A person can save 25% of his income. If his income increases by 20% and still he saves the same amount as before, the percentage increase in his expenditure is _____.

Option 1: $26 \frac{2}{3}$

Option 2: $24$

Option 3: $25 \frac{1}{3}$

Option 4: $25$

Team Careers360 22nd Jan, 2024

Correct Answer: $26 \frac{2}{3}$


Solution : Let the income of the person be 100
Savings of the person = $100 × \frac{25}{100}$ = 25
Expenditure of the person = 100 – 25 = 75
The new income of the person = $100 × \frac{120}{100}$ = 120
New expenditure of the

27 Views

Question : Select the most appropriate one-word substitution for the given group of words.

Irresistible impulse to steal

Option 1: kleptomania

Option 2: plunder

Option 3: sabotage

Option 4: megalomania

Team Careers360 22nd Jan, 2024

Correct Answer: kleptomania


Solution : The correct choice is the first option.

Kleptomania is a mental disorder in which there is an irresistible urge or impulse to steal things, often items that are not needed for personal use or monetary value. It represents a recurrent inability to resist the

19 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
$\frac{1}{121}, \frac{1}{11}, 1, ?, 121$

Option 1: 11

Option 2: 12

Option 3: 21

Option 4: 1

Team Careers360 21st Jan, 2024

Correct Answer: 11


Solution : Given:
$\frac{1}{121}, \frac{1}{11}, 1, ?, 121$

Multiply the previous term by 11 to obtain the next term.
$\frac{1}{121}×11=\frac{1}{11}; \frac{1}{11}×11=1; 1×11=11; 11×11=121$

So, 11 is the missing term in the series. Hence, the first option is correct.

9 Views

Question : As of September 2019, the distinction of being the youngest Indian Grandmaster was held by:

Option 1: Parimarjan Negi

Option 2: D Gukesh

Option 3: R Praggnanandhaa

Option 4: Raunak Sadhwani

Team Careers360 18th Jan, 2024

Correct Answer: D Gukesh


Solution : The correct answer is D Gukesh.

D Gukesh is from Chennai, Tamil Nadu and became India's youngest Grandmaster at the age of 12 years & 7 months. Gukesh Dommaraju has also won an individual gold in the chess Olympiad. He also became the youngest

10 Views

Question : The difference between a discount of 30% on Rs. 2,000 and two successive discounts of 25% and 5% on the same amount is:

Option 1: Rs. 30

Option 2: Rs. 35

Option 3: Rs. 25

Option 4: Rs. 40

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 25


Solution : Amount = Rs. 2,000
If discount = 30%, final amount = $\frac{70}{100}$ × 2000 = Rs. 1,400
If two successive discounts of 25% and 5%,
final amount = $\frac{75}{100}$ × $\frac{95}{100}$ × 2000 = Rs. 1,425
$\therefore$ Difference = 1425 – 1400 = Rs.

15 Views

Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:

Option 1: $2 \frac{3}{20}$

Option 2: $1\frac{2}{20}$

Option 3: $1 \frac{3}{20}$

Option 4: $1 \frac{7}{20}$

Team Careers360 25th Jan, 2024

Correct Answer: $1 \frac{3}{20}$


Solution : $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$
$=\frac{\frac{5}{2}-\frac{3}{7} \times \frac{9}{5} \div \frac{27}{7}}{\frac{3}{2}+ \frac{7}{5} \div  \frac{7}{2} \times  \frac{5}{4}}$
$=\frac{\frac{5}{2}-\frac{3}{7} \times \frac{9}{5} \times \frac{7}{27}}{\frac{3}{2}+ \frac{7}{5} \times \frac{2}{7} \times  \frac{5}{4}}$
$=\frac{\frac{5}{2}-\frac{9}{5} \times \frac{1}{9}}{\frac{3}{2}+ \frac{1}{2}}$
$=\frac{\frac{5}{2}-\frac{1}{5} }{2}$
$=\frac{\frac{23}{10} }{2}$
$=\frac{23}{20} $

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