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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
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,
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 ×
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
Question : Select the most appropriate ANTONYM of the given word. Clear
Option 1: Clean
Option 2: Opaque
Option 3: Mess
Option 4: Untidy
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
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.
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.
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
Correct Answer:
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
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
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%
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: $\frac{2}{3}$
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 +
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. Example 13 – operations on 13 such as adding/subtracting/multiplying etc to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (10, 5, 52) (35, 7, 250)
Option 1: (8, 4, 34)
Option 2: (14, 8, 90)
Option 3: (8, 9, 10)
Option 4: (20, 5, 300)
Correct Answer: (8, 4, 34)
Solution : Given: (10, 5, 52); (35, 7, 250)
Here, (10, 5, 52)→10 ÷ 5 = 2; 10 × 5 = 50; 50 + 2 = 52 (35, 7, 250)→35 ÷ 7 = 5; 35 × 7 = 245; 245 + 5 = 250
Let's
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
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
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
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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