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8 Views

Question : Two equal circles of radius 6 cm intersect each other such that each passes through the centre of the other. The length (in cm) of the common chord is:

Option 1: $5 \sqrt{3}$

Option 2: $6 \sqrt{3}$

Option 3: $4 \sqrt{3}$

Option 4: $3 \sqrt{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $6 \sqrt{3}$


Solution :
Let the common chord AB bisect the distance between the centre XY at O.
⇒ XO = $\frac{\text{XY}}{2}$ = $\frac{6}{2}$ = 3 cm
⇒ AX = radius = 6 (The circles pass through each other’s centre)
Now, in $\triangle XAO$ right angled at O

13 Views

Question : Direction : In the following question, some parts of the sentences have errors and some are correct.Find out which part of a sentence has an error. The number of that part is the answer.If a sentence is free from error, your answer is No error.

The children are driving me to distraction today.

(1) No error

(2) distraction today.

(3) The children are

(4) driving me to

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 25th Jan, 2024

Correct Answer: 1


Solution : There's no error in this sentence. Therefore, the answer is the first option.

The sentence "The children are driving me to distraction today" is grammatically correct and conveys its meaning clearly that the children's behavior or actions are causing the speaker to become extremely agitated

8 Views

Question : The weights of two iron balls are 3.5 kg and 7.5 kg. What is the percentage weight of the first ball with respect to the weight of the second ball?

Option 1: $46\frac{2}{3}$%

Option 2: $35$%

Option 3: $46\frac{1}{3}$%

Option 4: $45$%

Team Careers360 24th Jan, 2024

Correct Answer: $46\frac{2}{3}$%


Solution : Given: The weights of two iron balls are 3.5 kg and 7.5 kg.
Required percentage = $\frac{\text{weight of the first ball}}{\text{weight of the second ball}} × 100$%
= $\frac{3.5}{7.5} × 100$
= $\frac{140}{3}$
= $46\frac{2}{3}$%
Hence, the correct answer is $46\frac{2}{3}$%.

14 Views

Question : The first lot of 33 declassified files relating to Netaji Subhas Chandra Bose was handed over by the Prime Minister’s Office (PMO) to the National Archives of India on 4 December ______.

Option 1: 2019

Option 2: 2018

Option 3: 2014

Option 4: 2015

Team Careers360 24th Jan, 2024

Correct Answer: 2015


Solution : The correct answer is 2015

The initial batch of 33 files was handed over from the Prime Minister's Office to the National Archives of India on December 4, 2015, following a meeting with a delegation from Netaji's family at the Prime Minister's residence in New

16 Views

Question : What is the fiscal year period in India?

Option 1: 1st April of a year to 31st March of the next upcoming year.

Option 2: 1st April to 31st December of the same year.

Option 3: 1st January to 31st December of the same year.

Option 4: 1st January of a year to 31st December of the next upcoming year.

Team Careers360 24th Jan, 2024

Correct Answer: 1st April of a year to 31st March of the next upcoming year.


Solution : The correct option is 1st April of a year to 31st March of the next upcoming year.

India follows the 1st April to 31st March fiscal year period. This period aligns with the

21 Views

Question : Which of the following pairs is not correctly matched?

Option 1: Duck - cricket

Option 2: Blue line - badminton

Option 3: Deuce - tennis

Option 4: Free throw - volleyball

Team Careers360 25th Jan, 2024

Correct Answer: Blue line - badminton


Solution : The correct answer is the Blue line - badminton.

The division of the attacking, defensive, and neutral zones into three sections is shown by the blue line on an ice hockey rink. The two blue lines, which serve as the boundaries

23 Views

Question : The distance of a chord JK from the centre is 7 cm. If the diameter of this circle is 50 cm, then what will be the length of this chord?

Option 1: 74 cm

Option 2: 96 cm

Option 3: 48 cm

Option 4: 24 cm

Team Careers360 24th Jan, 2024

Correct Answer: 48 cm


Solution :
The radius of the circle is half the diameter.
The radius = $\frac{50}{2}$ = 25 cm
Let the length of the chord JK = $2x$ cm
The distance from the centre of the circle to the chord = 7 cm
The perpendicular from the

15 Views

Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
hello, lower, error, organ, analyse, ?

Option 1: night

Option 2: rapture

Option 3: senile

Option 4: watch

Team Careers360 24th Jan, 2024

Correct Answer: senile


Solution : Given:
hello, lower, error, organ, analyse, ?

The pattern usd here is that the next word is formed from the last two letters of the previous word.
hellolowererrororgananalyse

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