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10 Views

Question : The compound ratio of the inverse ratio of the ratios $x:yz, y:xz$ and $z:xy$ is:

Option 1: $1:xyz$

Option 2: $xyz:1$

Option 3: $1 : 1$

Option 4: $x:yz$

Team Careers360 23rd Jan, 2024

Correct Answer: $xyz:1$


Solution : The inverse of $a$ is $\frac{1}{a}$ and a compound ratio is the ratio obtained when we compound two or more ratios through multiplication. For two ratios $m:n$ and $p:q$, the compound ratio is $mp:nq$.
The inverse ratio of the ratios,
$x:yz,y:xz$ and $z:xy$ is $yz:x,xz:y$

39 Views

Question : If $\triangle ABC$ and $\triangle DEF$ are congruent triangles, which of the following is FALSE?

Option 1: The ratio of AC to DF is 2 : 1.

Option 2: The perimeters of both the triangles are equal.

Option 3: AB = DE and BC = EF

Option 4: The ratio of the angles in both the triangles is the same.

Team Careers360 21st Jan, 2024

Correct Answer: The ratio of AC to DF is 2 : 1.


Solution : Given: $ \triangle ABC$ and $\triangle DEF$ are congruent triangles.
When two triangles are congruent, their corresponding sides and angles are also congruent.
Option 1: The ratio of AC to DF is 2 : 1. This

18 Views

Question : Three medians AD, BE, and CF of $\triangle ABC$ intersect at G. The area of $\triangle ABC$ is $36\text{ cm}^2$. Then the area of $\triangle CGE$ is:

Option 1: $12\text{ cm}^2$

Option 2: $6\text{ cm}^2$

Option 3: $9\text{ cm}^2$

Option 4: $18\text{ cm}^2$

Team Careers360 17th Jan, 2024

Correct Answer: $6\text{ cm}^2$


Solution :
Given: AD, BE, and CF are medians of $\triangle ABC$ intersect at G.
The area of $\triangle ABC$ = $36\text{ cm}^2$
The median of the triangle divides the triangle into equal areas.
$\therefore$ Area of $\triangle CGE$ = $ \frac{\text{Area of} \triangle ABC }{6}=\frac{36}{6}=6\text{

154 Views

Question : Directions: Which number from among the given options can replace the question mark (?) in the following series?
8, 11, 22, ?, 50, 53

Option 1: 37

Option 2: 42

Option 3: 35

Option 4: 25

Team Careers360 21st Jan, 2024

Correct Answer: 25


Solution : Given:
8, 11, 22, ?, 50, 53

Add 3, and multiply 2 alternately to the numbers to obtain the next number of the series.
8 + 3 = 11; 11 × 2 = 22; 22 + 3 = 25; 25 × 2 = 50; 50

9 Views

Question : Directions: Select the option that is not embedded in the given figure as its part (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. 
Now, let's check the given options –
First option: The given figure is not embedded in the main figure.
Second option: 

Third option:

Fourth option:

So, only the

35 Views

Question : The Buddha belonged to a small gana known as _________.

Option 1: Sakya Gana

Option 2: Avanti Gana

Option 3: Kuru Gana

Option 4: Panchal Gana

Team Careers360 23rd Jan, 2024

Correct Answer: Sakya Gana


Solution : The correct option is Sakya Gana.

The Buddha, Siddhartha Gautama, belonged to the Sakya Gana, a small republic or oligarchic clan-based political unit in ancient India. He was born in Lumbini, in present-day Nepal, and his teachings laid the foundation for Buddhism, influencing

24 Views

Question : Select the most appropriate ANTONYM of the underlined word.

She is a veteran journalist known for her powerful writing style.

Option 1: Renowned

Option 2: Creviced

Option 3: Conditioned

Option 4: Novice

Team Careers360 19th Jan, 2024

Correct Answer: Novice


Solution : The fourth option is the correct answer.

A veteran is a person who has had a lot of experience in a particular field.

The meanings of the other options are as follows:

  • Renowned: It denotes widely known and celebrated excellence or achievements.
  • Creviced:
11 Views

Question : Select the word that is closest in meaning (SYNONYM) to the word given below.

SIMPLE

Option 1: DECORATED

Option 2: COMPLEX

Option 3: EMBELLISHED

Option 4: ELEMENTARY

Team Careers360 25th Jan, 2024

Correct Answer: ELEMENTARY


Solution : The correct choice is the fourth option.

Explanation:

In this context, the word, simple, is used to describe something that is easy, basic, or not complicated. The word elementary means something that is not difficult and is basic, which makes it the correct synonym.

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