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17 Views

Question : It is given that $\triangle \mathrm{ABC} \cong \triangle \mathrm{FDE}$ and $\mathrm{AB}=5 \mathrm{~cm}, \angle \mathrm{B}=40^{\circ}$ and $\angle \mathrm{A}=80^{\circ}$. Then which of the following is true?

Option 1: $\mathrm{DE}=5 \mathrm{~cm} \text{ and }\angle \mathrm{D}=40^{\circ}$

Option 2: $\mathrm{DE}=5 \mathrm{~cm}\text{ and }\angle \mathrm{E}=60^{\circ}$

Option 3: $\mathrm{DF}=5 \mathrm{~cm}\text{ and } \angle \mathrm{F}=60^{\circ}$

Option 4: $\mathrm{DF}=5 \mathrm{~cm}\text{ and }\angle \mathrm{E}=60^{\circ}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\mathrm{DF}=5 \mathrm{~cm}\text{ and }\angle \mathrm{E}=60^{\circ}$


Solution :
Given, $\triangle ABC \cong \triangle FDE$ and $AB=5 \mathrm{~cm}, \angle B=40^{\circ}, \angle A=80^{\circ}$
Since, $\triangle FDE \cong \triangle ABC$
So, $DF=AB$ [by corresponding parts of Congruent Triangle]
$D F=5 \mathrm{~cm}$
and $\angle E=\angle C$ [by corresponding parts of Congruent Triangle]
$\Rightarrow\angle

263 Views

Question : The ratio of the expenditure and savings of a person is 4 : 3. His expenditure increases by $\frac{1}{4}$th of his initial savings and his income increases by Rs. 300. If his savings remain the same, then what is his initial expenditure?

Option 1: Rs. 1600

Option 2: Rs. 2000

Option 3: Rs. 1000

Option 4: Rs. 1200

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 1600


Solution : Let the expenditure be $4x$ and the Savings be $3x$.
Income = expenditure + savings = $4x + 3x = 7x$
New income = $7x + 300$
New expenditure = $4x + \frac{1}{4}\times 3x=4x + \frac{3x}{4}=\frac{19x}{4}$
New savings = $7x + 300 - \frac{19x}{4}=\frac{28x+1200-19x}{4}=\frac{9x+1200}{4}$

43 Views

Question : The effective speed of a boat is 15.2 km/h against the stream and 20.8 km/h along the stream. Find the speed of the stream.

Option 1: 18 km/h

Option 2: 1.8 km/h

Option 3: 2.8 km/h

Option 4: 4.3 km/h

Team Careers360 24th Jan, 2024

Correct Answer: 2.8 km/h


Solution : Speed of stream $= \frac{\text{Speed along the stream - Speed against the stream}}{2}$
$ = \frac{20.8 - 15.2}{2}$
$ = \frac{5.6}{2}$
$ = 2.8$ km/h
Hence, the correct answer is 2.8 km/h.

11 Views

Question : Tusu Festival is the harvest festival of which of the following Indian states?

Option 1: Gujarat

Option 2: Sikkim

Option 3: Karnataka

Option 4: Jharkhand

Team Careers360 25th Jan, 2024

Correct Answer: Jharkhand


Solution : The correct option is Jharkhand.

The Tusu festival is mostly observed in the Jharkhand region between Bundu, Tamar, and Raidih. This belt's history dates back to the Indian freedom movement. Tusu is a harvest celebration that takes place on the final day of Poush

12 Views

Question : The value of 25% of 720 + 57 ÷ 19 × $\frac{1}{3}$ of $\frac{100}{11}$ of $\frac{33}{25}$ – 15% of 300 is:

Option 1: 191

Option 2: 157

Option 3: 127

Option 4: 147

Team Careers360 22nd Jan, 2024

Correct Answer: 147


Solution : 25% of 720 + 57 ÷ 19 × $\frac{1}{3}$ of $\frac{100}{11}$ of $\frac{33}{25}$ – 15% of 300
= 180 + 57 ÷ 19 × 4 – 45
= 180 + 3 × 4 – 45
= 180 + 12 – 45
= 192 – 45

15 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".

The man is (1) the most tallest (2) / of the group. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 23rd Jan, 2024

Correct Answer: (2)


Solution : The error lies in the second part of the sentence.

The error in the sentence lies in the use of the most tallest. When a comparison is made with all, the superlative form the tallest is used to indicate that the man is the tallest

20 Views

Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".

Our summer vacation is (1) / between 10th May to (2) / 10th June. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 24th Jan, 2024

Correct Answer: (2)


Solution : The error lies in the second part of the sentence.

When using between in the context of dates, it is followed by the starting and ending points without the preposition to in between. So, the correct form is "between 10th May and 10th June".

Therefore,

20 Views

Question : Aung San Sun Kyi is a native to:

Option 1: China

Option 2: Myanmar

Option 3: Arunachal Pradesh

Option 4: Tibet

Team Careers360 25th Jan, 2024

Correct Answer: Myanmar


Solution : The correct option is - Myanmar.

From 2016 to 2021, Aung San Suu Kyi, a politician, diplomat, and author from Myanmar, served as the country's State Counselor and Minister of Foreign Affairs. She has been the National League for Democracy's (NLD) leader from the organization's

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