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26 Views

Question : Half of the length of a chord of a circle is 12 cm and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:

Option 1: 12 cm

Option 2: 13 cm

Option 3: 10 cm

Option 4: 24 cm

Team Careers360 17th Jan, 2024

Correct Answer: 13 cm


Solution :
Here, the radius of the circle is OA.
AD is half the length of the chord, AB.
AD = 12 cm
OD = 5 cm
Using Pythagoras theorem we get,
OA2 = OD2 + AD2
⇒ OA = $\sqrt{5^2+12^2}=13$ cm
Hence,

6 Views

Question : Directions: By Interchanging which two signs the equation will be correct?
27 ÷ 3 – 18 + 3 × 2 = 18

Option 1: + and –

Option 2: × and +

Option 3: + and ÷

Option 4: ÷ and ×

Team Careers360 13th Jan, 2024

Correct Answer: + and ÷


Solution : Given:
27 ÷ 3 – 18 + 3 × 2 = 18

Let's check the given options –
First option: + and –
On interchanging the mathematical signs, we get –
27 ÷ 3 + 18 – 3 × 2 = 18
Solving

12 Views

Question : Select the most appropriate ANTONYM of the given word.
Clear

Option 1: Clean

Option 2: Opaque

Option 3: Mess

Option 4: Untidy

Team Careers360 21st Jan, 2024

Correct Answer: Opaque


Solution : The second option is the correct answer.

It means not being able to be seen through; it is not transparent, making it the correct answer.

In this context, clear means transparent or easy to see through, whereas opaque is a word that is opposite

20 Views

Question : Select the option that expresses the given sentence in indirect speech.

Sneha said to me, "I am doing my homework."

Option 1: Sneha told me that she was doing her homework.

Option 2: Sneha told me that she had been doing her homework.

Option 3: Sneha told me that she were doing her homework.

Option 4: Sneha told me that she has been doing her homework.

Team Careers360 13th Jan, 2024

Correct Answer: Sneha told me that she was doing her homework.


Solution : The first option is correct.

The given sentence is in direct speech, and the task is to convert it into indirect speech. In indirect speech, we report what someone else has said without quoting their exact words.

13 Views

Question :

Sweat glands in mammals are primarily concerned with
 

Option 1:

Removal of excess salt

Option 2:

Excretion of nitrogenous wastes

Option 3:

Thermoregulation

 

Option 4: Sex -attraction

Team Careers360 13th Jan, 2024

Correct Answer:

Thermoregulation

 


Solution : The correct option is Thermoregulation

Mammalian sweat glands are largely related with thermoregulation. The process through which an organism maintains a constant internal temperature is known as thermoregulation. Eccrine glands secrete a watery sweat that aids in cooling the body through evaporation. Apocrine glands produce

8 Views

Question : How much amount is reserved for the "National Biopharma Mission" named 'I3' by the Government of India?

Option 1: USD 250 million

Option 2: USD 350 million

Option 3: USD 500 million

Option 4: USD 150 million

Team Careers360 20th Jan, 2024

Correct Answer: USD 250 million


Solution : The correct answer is USD 250 million.

The Government of India is providing financial support for the Department of Biotechnology's (DBT) ambitious Mission. It was introduced in 2017 with a 250 million investment. The World Bank would contribute US$125 million, or 50%

9 Views

Question : In $\triangle P Q R, \angle P=90^{\circ}. {S}$ and ${T}$ are the mid points of sides ${PR}$ and ${PQ}$, respectively. What is the value of $\frac{\text{RQ}^2}{(\text{QS}^2 + \text{RT}^2)}$?

Option 1: $\frac{3}{4}$

Option 2: $\frac{4}{5}$

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

Option 4: $\frac{2}{3}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{4}{5}$


Solution :
$\angle$ P = 90°
Pythagoras theorem
Hypotenuse$^2$ = perpendicular$^2$ + base$^2$
Take the sides as shown in the figure
S and T are the midpoints of PR and PQ.
QR$^2$  = QP$^2$  + PR$^2$
⇒ QR$^2$  = 2$^2$  + 2$^2$
⇒ QR$^2$  = 4 +

120 Views

Question : A one-metre pipe is made with an inner diameter equal to the outer radius. How much material (in cubic mitres) is required to make the pipe, if it can hold $\frac{88}{7}$ cubic metres of water in it?

Option 1: 37.7

Option 2: 35.5

Option 3: 33.3

Option 4: 36.6

Team Careers360 19th Jan, 2024

Correct Answer: 37.7


Solution :
Let the radius of the inner cylinder be r and the radius of the outer cylinder be R.
Here, 2r = R
In this figure, the amount of water that will flow will be equal to the volume of the inner cylinder.
The volume of

21 Views

Question : In which state of India is the Tawa dam located?

Option 1: Uttar Pradesh

Option 2: Haryana

Option 3: Rajasthan

Option 4: Madhya Pradesh

Team Careers360 19th Jan, 2024

Correct Answer: Madhya Pradesh


Solution : The correct option is Madhya Pradesh.

The Tawa Dam is located in the state of Madhya Pradesh, India. It is situated on the Tawa River in the Hoshangabad district of Madhya Pradesh. Tawa is a tributary of the Narmada River. The primary purpose

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