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16 Views

Question : Find the value of $[49^{\frac{3}{2}}+49^{-\frac{3}{2}}]$.

Option 1: $\frac{11749}{343}$

Option 2: $\frac{117550}{343}$

Option 3: $\frac{117659}{343}$

Option 4: $\frac{117650}{343}$

Team Careers360 16th Jan, 2024

Correct Answer: $\frac{117650}{343}$


Solution : Given: $[49^{\frac{3}{2}}+49^{-\frac{3}{2}}]$
Simplifying this expression by factorising, we have,
= $[(7^{2})^{\frac{3}{2}}+(7^{2})^{\frac{–3}{2}}]$
= $[7^{3}+7^{–3}]$
= $[343+\frac{1}{7^{3}}]$
= $[343+\frac{1}{343}]$
= $[\frac{117649+1}{343}]$
= $\frac{117650}{343}$
Hence, the correct answer is $\frac{117650}{343}$.

9 Views

Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for the question. Choose the correct alternative out of the four alternatives.
A. R. Rahman____ the music for the Commonwealth Games 2010.

Option 1: sang

Option 2: made

Option 3: composed

Option 4: produced

Team Careers360 13th Jan, 2024

Correct Answer: composed


Solution : The correct choice is the third option.

It means to create or write music. A.R. Rahman is a well-known composer, so it makes sense to say that he composed the music for the Commonwealth Games in 2010.

The meanings of the other options are as

11 Views

Question : Which of the following programs aims at the promotion of savings among rural women?

Option 1: Mahila Samriddhi Yojana

Option 2: Jawahar Rozgar Yojana

Option 3: Rashtriya Mahila Kosh

Option 4: Antyodaya Yojana

Team Careers360 25th Jan, 2024

Correct Answer: Mahila Samriddhi Yojana


Solution : The correct option is the Mahila Samridhi Yojana

Mahila Samriddhi Yojana was started on October 2, 1993, to provide economic security to rural women and encourage saving habits among them. The condition for opening an account under this program was that the age

14 Views

Question : Choose the word that means the same as the given word.

Ecclesial

Option 1: Profane

Option 2: Secular

Option 3: Profuse

Option 4: Churchly

Team Careers360 23rd Jan, 2024

Correct Answer: Churchly


Solution : The correct choice is the fourth option.

Explanation:

The word ecclesial means of or relating to a church, and the word churchly means relating to a Christian church, making it similar in meaning to the given word.

The meanings of the other options are

10 Views

Question : Which one of the following terms describes not only the physical space occupied by an organism but also its functional role in the community of the organism?

Option 1: Eco-niche

Option 2: Ecosystem

Option 3: Ecozone

Option 4: Habitat

Team Careers360 23rd Jan, 2024

Correct Answer: Eco-niche


Solution : The correct answer is Eco-niche.

The term "Eco-niche" is short for "ecological niche". It refers to the position and role of a species or population in its environment, including its interactions with other organisms and the way it uses resources. It involves how a species

9 Views

Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
16 * 35 * 5 * 20 * 4 * 89

Option 1: ×, –, +, ÷, =

Option 2: –, ÷, +, ×, =

Option 3: ×, ÷, +, –, =

Option 4: –, ×, ÷, +, =

Team Careers360 17th Jan, 2024

Correct Answer: –, ÷, +, ×, =


Solution : Given:
16 * 35 * 5 * 20 * 4 * 89;
Apply the mathematical operations according to the options to make the equation correct.

Let's check each option –
First option: ×, –, +, ÷, =
16 × 35 –

19 Views

Question : The lengths of the three sides of a triangle are in the ratio of 2 : 2 : 3. If the perimeter of the triangle is 42 cm, then what is the length of the largest side?

Option 1: 12 cm

Option 2: 18 cm

Option 3: 20 cm

Option 4: 15 cm

Team Careers360 25th Jan, 2024

Correct Answer: 18 cm


Solution : Given: perimeter = 42 cm
Let the sides of the triangle be $2x, 2x$, and $3x$.
Perimeter = Sum of the sides of the triangle
⇒ $42=2x+2x+3x$
⇒ $42=7x$
⇒ $x=6$
$\therefore$ The largest side $= 3x=3\times6=18$ cm
Hence, the correct answer is 18

17 Views

Question : Directions: In a certain code language, NUMERICAL is written as ICALRNUME, and SCATTERED is written as EREDTSCAT. How will EXPLOSION be written in that language?

Option 1: SIONOXEPL

Option 2: SIONOEXPL

Option 3: SIONOXELP

Option 4: SIONOEXLP

Team Careers360 11th Jan, 2024

Correct Answer: SIONOEXPL


Solution : Given:
NUMERICAL is written as ICALRNUME and SCATTERED is written as EREDTSCAT.

The last four letters become the first four letters and the first four letters become the last four letters and the middle letter is a constant of NUMERICAL, to obtain the required code

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