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25 Views

Question : Find the ratio of the LCM of 44, 10, and 5 to the HCF of 50 and 75.

Option 1: 15 : 2

Option 2: 45 : 7

Option 3: 50 : 3

Option 4: 44 : 5

Team Careers360 25th Jan, 2024

Correct Answer: 44 : 5


Solution : LCM of 44, 10, and 5 = 220
HCF of 50 and 75 = 25
Ratio = 220 : 25 = 44 : 5
Hence, the correct answer is 44 : 5.

11 Views

Question : If $\left({x}+\frac{1}{x}\right)=2$, then ${x}^7+\frac{1}{x^{117}}=$___________.

Option 1: 1

Option 2: 2

Option 3: 4

Option 4: 3

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Given: That $\left({x}+\frac{1}{x}\right)=2$,
$⇒ \frac{x^2+1}{x}=2$
$⇒ x^2-2x+1= 0$
$⇒ (x-1)^2=0$
$⇒ x = 1$
Substituting $x = 1$ into the expression ${x}^7+\frac{1}{x^{117}}$ 
$1^7 + \frac{1}{1^{117}} = 1 + 1 = 2$.
Hence, the correct answer is 2.

10 Views

Question : Which one of the following is not a sect of Buddhism?

Option 1: Mahayana

Option 2: Hinayana

Option 3: Digambar

Option 4: Theravad

Team Careers360 21st Jan, 2024

Correct Answer: Digambar


Solution : The Correct Answer is Digambar

In reference to their customary monastic practice of neither owning nor donning any clothing, the Sanskrit word Digambara means "sky-clad." According to the Digambaras, being naked is a requirement for salvation. Currently, the majority of Digambara Jain communities are concentrated

76 Views

Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below:
(The words must be considered meaningful English words and must not be related to each other based on the number of letters/consonants/vowels in the word.)
Bitter : Pungent

Option 1: Boggle : Wonder

Option 2: Digitise : Digress

Option 3: Cider : Cine

Option 4: Cite : Cirrus

Team Careers360 23rd Jan, 2024

Correct Answer: Boggle : Wonder


Solution : Given:
Bitter : Pungent (Bitter and Pungent are synonyms where the meaning of bitter is having a sharp pungent taste or smell.)

First option: Boggle : Wonder; Boggle and wonder are synonyms where wonder refers to a feeling of amazement or admiration.
Second

10 Views

Question : Directions: Keshav walks 15 km towards the south. He takes a right turn and walks 25 km. He takes a right turn and walks 10 km. In which direction is he from his starting point?

Option 1: South-West

Option 2: South

Option 3: South-East

Option 4: West

Team Careers360 24th Jan, 2024

Correct Answer: South-West


Solution : As per the given instructions, the movement of Keshav will look as follows –

Therefore, the direction of Keshav from his starting position is South-West. Hence, the first option is correct.

10 Views

Question : Which of the following pair of Thumri singing – characteristics is correct?

I. Poorab – fairly slow and staid

II. Punjab – more mercurial.

Option 1: Only I

Option 2: Both I and II

Option 3: Only II

Option 4: Neither I nor II

Team Careers360 22nd Jan, 2024

Correct Answer: Both I and II


Solution : The correct answer is Both I and II.

Vocals are used in the Indian musical genre known as thumri. It is particularly well-known in Uttar Pradesh. The lyrics are usually written in two Hindi dialects from Uttar Pradesh, Awadhi and Brij Bhasha.

22 Views

Question : Suspension particles have a size between

Option 1: 10-2 and 10-4 cm

Option 2: 10-5 and 10-7 cm

Option 3: 10-8 and 10-10 cm

Option 4: 10-1 and 10-2 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 10-2 and 10-4 cm


Solution : The correct option is 10-2and 10-4 cm.

The sizes of particles of suspension range from 10-2 cm (0.01 cm) and 10-4 cm (0.0001 cm). These particles are bigger than molecules or ions in liquids

12 Views

Question : If $(a+b+c) \neq 0$, then $(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$ is equal to:

Option 1: $a^3+b^3-c^3-3abc$

Option 2: $a^3-b^3+c^3-3abc$

Option 3: $a^3+b^3+c^3-3abc$

Option 4: $a^3+b^3+c^3+3abc$

Team Careers360 25th Jan, 2024

Correct Answer: $a^3+b^3+c^3-3abc$


Solution : Given: $(a+b+c)\left(a^2+b^2+c^2-ab-bc-ca\right)$
Simplifying this expression, we have:
$(a^3+ab^2+ac^2–a^2b–abc–ca^2+a^2b+b^3+bc^2–ab^2–b^2c–abc+a^2c+b^2c+c^3–abc–bc^2–c^2a)$
= $(a^3+b^3+c^3–3abc)$
Hence, the correct answer is $(a^3+b^3+c^3–3abc)$.

42 Views

Question : "Bombay" Jayashri Ramnath is a famous __________singer of India.

Option 1: carnatic

Option 2: folk

Option 3: jazz

Option 4: hip-hop

Team Careers360 25th Jan, 2024

Correct Answer: carnatic


Solution : The correct answer is carnatic.

Jayashri Ramnath, sometimes referred to as Bombay Jayashri, is a playback singer for Indian films, especially Tamil films and a performer of Carnatic music. One of the few vocalists who embodies erudition, heritage, honey voice and profound mano dharma is

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