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Question : The sum of 10 numbers is 686. What is their average?

Option 1: 67.5

Option 2: 65.5

Option 3: 68.6

Option 4: 66.6

Team Careers360 25th Jan, 2024

Correct Answer: 68.6


Solution : The sum of 10 numbers is 686.
$\therefore$ The average of these 10 numbers $=\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}=\frac{686}{10}= 68.6$
Hence, the correct answer is 68.6.

20 Views

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

She tries to adjust _____ her relations.

Option 1: at

Option 2: so

Option 3: with

Option 4: for

Team Careers360 25th Jan, 2024

Correct Answer: with


Solution : The correct choice is the third option.

The preposition with is the correct choice in this sentence because it is used to indicate the manner in which someone adjusts or accommodates himself. In this case, with suggests that she is trying to adapt to her

103 Views

Question : The difference between the cubes of two given natural numbers is 6272, while the positive difference between the two given numbers is 8. What is the product of the two given numbers?

Option 1: 160

Option 2: 240

Option 3: 200

Option 4: 320

Team Careers360 23rd Jan, 2024

Correct Answer: 240


Solution : Let the numbers be x and y.
So, x3 – y3 = 6272 and (x – y) = 8
Cubing both sides of the given expression, (x – y) = 8,
⇒ (x – y)3 = 83
⇒ x3 –

26 Views

Question : Which of the following set of angles forms a triangle?

Option 1: 60°, 70°, 80°

Option 2: 60°, 70°, 30°

Option 3: 60°, 40°, 80°

Option 4: 60°, 50°, 80°

Team Careers360 25th Jan, 2024

Correct Answer: 60°, 40°, 80°


Solution : The sum of all angles of the triangle should be 180°.
From the above-given options, only option 2 satisfies the condition.
Option 2: 60°, 40°, 80°
Sum of angles = 60° + 40° + 80° = 180°
Hence, the correct answer is 60°,

69 Views

Question : Directions: In the evening, Amit and Asvini are sitting in a park with their backs facing each other's back. If the shadow of Amit falls to the right of Asvini, which side is Amit facing?

Option 1: West

Option 2: East

Option 3: North

Option 4: South

Team Careers360 25th Jan, 2024

Correct Answer: South


Solution : In the evening, the Sun will be in the West direction and the shadow will fall in the East direction. So, according to the information, the diagram will be as follows –


Now, the direction and distance diagram according to the question is as

35 Views

Question : Simplify the given expression: $\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$

Option 1: 2

Option 2: –1

Option 3: –2

Option 4: 1

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : We know: $\sin (90^{\circ} -A) = \cos A$ and $\sin^2 A+\cos^2 A = 1$
$\frac{\sin^2 32^{\circ}+\sin^2 58^{\circ}}{\cos^2 32^{\circ}+\cos^2 58^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin 37^{\circ}$
= $\frac{\sin^2 32^{\circ}+\sin^2 (90-32)^{\circ}}{\cos^2 32^{\circ}+\cos ^2 (90-32)^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \sin (90-53)^{\circ}$
= $\frac{\sin^2 32^{\circ}+\cos^2 32^{\circ}}{\cos^2 32^{\circ}+\sin^2 32^{\circ}}+\sin^2 53^{\circ}+\cos 53^{\circ} \cos 53^{\circ}$
=

12 Views

Question : Directions: In the following question, find the odd number pair from the given alternatives.

Option 1: 8 – 11

Option 2: 1 – 4 

Option 3: 7 – 10 

Option 4: 3 – 5

Team Careers360 25th Jan, 2024

Correct Answer: 3 – 5


Solution : Let's check the options –
First option: 8 – 11→8 + 3 = 11
Second option: 1 – 4→1 + 3 = 4
Third option: 7 – 10→7 + 3 = 10
Fourth option: 3 – 5→3 + 3 = 6 ≠ 5

8 Views

Question : Select the most appropriate option to fill in the blank.
The actress is very _____ and takes pride in her appearance all the time.

Option 1: vein

Option 2: wane

Option 3: vane

Option 4: vain

Team Careers360 24th Jan, 2024

Correct Answer: vain


Solution : The correct choice is the fourth option.

Explanation: Vain means having an excessively high opinion of oneself, especially regarding one's appearance.

In the context of the sentence, the actress is described as someone who takes pride in her appearance all the time, indicating excessive concern

52 Views

Question : Directions: In a certain code language, MOBILE is written as NQEMQK, and BISHOP is written as CKVLTV. How will CHARGE be written in that language?

Option 1: DJEVLJ

Option 2: DJDWLK

Option 3: DJDVLK

Option 4: DJDVKL

Team Careers360 23rd Jan, 2024

Correct Answer: DJDVLK


Solution : Given:
MOBILE is written as NQEMQK, and BISHOP is written as CKVLTV. 

Add 1, 2, 3, and so on in the positional value of each letter of MOBILE, to obtain the required code –
M + 1 = N; O + 2 = Q; B

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