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48 Views

Question : If the measures of the angles of a triangle are in the ratio 1 : 2 : 3, and if the length of the smallest side of the triangle is 10 cm, then the length of the longest side is:

Option 1: 20 cm

Option 2: 25 cm

Option 3: 30 cm

Option 4: 35 cm

Team Careers360 23rd Jan, 2024

Correct Answer: 20 cm


Solution : Given:
The measures of the angles of a triangle are in the ratio 1 : 2 : 3.
Let the angles be $x, 2x, 3x$.
So, $x + 2x + 3x = 180°$
⇒ $6x = 180°$
∴ $x = 30°$
So, the angles

21 Views

Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation.
Crop : Farmer :: Book : ?

Option 1: Author

Option 2: Paper

Option 3: Dramatist

Option 4: Read

Team Careers360 19th Jan, 2024

Correct Answer: Author


Solution : Given:
Crop : Farmer :: Book : ?

Like, a farmer is typically the one who cultivates or grows crops.
Similarly, an author is the one who typically writes or creates books.

Hence, the first option is correct.

20 Views

Question : Directions: Which two numbers and two signs should be interchanged to make the given equation correct?
5 + 44 − 8 × 25 = 203

Option 1: 8, 5 and −, +

Option 2: 8, 44 and −, +

Option 3: 8, 5 and −, ×

Option 4: 8, 44 and −, ×

Team Careers360 22nd Jan, 2024

Correct Answer: 8, 5 and −, ×


Solution : Given:
5 + 44 − 8 × 25 = 203

Replace the given signs and numbers in the options one by one with the original signs and numbers in the given equation.
First option: 8, 5 and −, +
= 8

102 Views

Question : In what ratio does a grocer mix tea at INR 26 per kg and INR 32 per kg so that by selling the mixture at INR 30 per kg he may gain 10%?

Option 1: 7 : 26

Option 2: 16 : 7

Option 3: 26 : 7

Option 4: 7 : 16

Team Careers360 16th Jan, 2024

Correct Answer: 26 : 7


Solution : Given: A grocer mixes tea at INR 26 per kg and INR 32 per kg so that by selling the mixture at INR 30 per kg he may gain 10%.
Selling price = INR 30 per kg and gain = 10%.
So, the

24 Views

Question : Two triangles XYZ and UVW are congruent. If the area of $\triangle$XYZ is 58 cm2, then the area of $\triangle$UVW will be:

Option 1: 58 cm2

Option 2: 116 cm2

Option 3: 29 cm2

Option 4: 15 cm2

Team Careers360 17th Jan, 2024

Correct Answer: 58 cm2


Solution : Two triangles XYZ and UVW are congruent.
The area of $\triangle$XYZ is 58 cm2.
We know,
The areas of two congruent triangles are equal.
Hence, the correct answer is 58 cm2.

120 Views

Question : Two circles touch each other internally. Their radii are 3 cm and 4 cm. What is the length of the biggest chord of the circle with radii of 4 cm which is outside the inner circle?

Option 1: $5 \sqrt{3} \mathrm{~cm}$

Option 2: $6 \sqrt{3} \mathrm{~cm}$

Option 3: $4 \sqrt{3} \mathrm{~cm}$

Option 4: $2 \sqrt{3} \mathrm{~cm}$

Team Careers360 23rd Jan, 2024

Correct Answer: $2 \sqrt{3} \mathrm{~cm}$


Solution :
From the figure, 
MN is the diameter of the smaller circle and PQ is the biggest chord of the greater circle. O is the centre of the greater circle and O' is the centre of the inner circle.
Now, 
OM = MN –

11 Views

Question : Which of the following five-year plan addressed the issue of removal of poverty as a chief objective for the first time?

Option 1: Fourth Five-Year Plan

Option 2: Third Five-Year Plan

Option 3: Sixth Five-Year Plan

Option 4: Fifth Five-Year Plan

Team Careers360 24th Jan, 2024

Correct Answer: Fifth Five-Year Plan


Solution : The correct answer is the Fifth Five-Year Plan.

​​​​​​The main objective of the Fifth Five-Year Plan was to eradicate poverty and attain self-reliance. The Central Government under Indira Gandhi came up with the slogan "Garibi Hatao", which means remove poverty.

18 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select "No substitution".
Greenhouse gases trapped beside Earth's atmosphere cause global warming.

Option 1: trapped inside

Option 2: No substitution

Option 3: trapped outside

Option 4: trapped beyond

Team Careers360 17th Jan, 2024

Correct Answer: trapped inside


Solution : The correct answer is the first option.

The phrase "trapped beside Earth's atmosphere" does not convey the intended meaning. So, the corrected sentence conveys that greenhouse gases are "trapped inside" the Earth's atmosphere and are contributing to global warming.

The prepositions in the other

5 Views

Question : Articles 25 to 28 of the Indian Constitution provide for_____.

Option 1: Culture and Educational Rights

Option 2: Right to Equality

Option 3: Right against Exploitation

Option 4: Right to Freedom of Religion

Team Careers360 24th Jan, 2024

Correct Answer: Right to Freedom of Religion


Solution : The correct option is the Right to Freedom of Religion.

Articles 25 to 28 of the Indian Constitution provide for the Fundamental Right to Freedom of Religion. These articles ensure the right to freedom of conscience and the right to

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