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Question : The radius of the incircle of an equilateral $\Delta$ ABC of side $2\sqrt{3}$ cm is $x$ cm. The value of $x$ is:
Option 1: $\frac{1}{3}$
Option 2: $\frac{1}{2}$
Option 3: $1$
Option 4: $\sqrt{3}$
Correct Answer: $1$
Solution : The radius of the incircle of an equilateral triangle is given by the formula $r = \frac{a}{2\sqrt{3}}$, where $a$ is the side length of the triangle. Given that the length of the sides of the equilateral triangle ABC is $2\sqrt{3}$ cm. $x = \frac{2\sqrt{3}}{2\sqrt{3}} =
Question : Who is the first woman IPS officer in India?
Option 1: Sarojini Naidu
Option 2: Kiran Bedi
Option 3: Indira Gandhi
Option 4: Bachendri Pal
Correct Answer: Kiran Bedi
Solution : The correct answer is Kiran Bedi.
Kiran Bedi began her career as an ASP (Assistant Superintendent of Police) in Chanakyapuri, Delhi, becoming the country's first IPS officer. After joining the IPS services, she served in various roles, including antiterrorist specialist, narcotics officer, and
Question : Directions: Select the option related to the sixth number in the same way as the first number is related to the second number and the third number is related to the fourth number. 8 : 72 :: 10 : 110 :: ? : 210
Option 1: 16
Option 2: 14
Option 3: 18
Option 4: 12
Correct Answer: 14
Solution : Given: 8 : 72 :: 10 : 110 :: ? : 210
Add 1 to the first number, and then multiply the first number by the resultant number, to obtain the second number – Like, 8 : 72→8 × (8 + 1) = 8 ×
Question : In the given figure, $\angle ABC=81^{\circ}$ and $\angle ACB=9^{\circ}$. What is the value of $\angle BDC$?
Option 1: 80°
Option 2: 90°
Option 3: 70°
Option 4: 60°
Correct Answer: 90°
Solution : The angles at the circumference subtended by the same arc are equal. In $\triangle ABC$, $\angle ABC + \angle BCA + \angle ACB = 180°$ ⇒ $81° + 9° +\angle BAC= 180°$ ⇒ $\angle BAC = 90°$ Now, $\angle BAC = \angle BDC = 90°$
Question : The mean of 9 observations is 16. When one more observation is included, the new mean becomes 17. What is the value of the 10th observation?
Option 1: 9
Option 2: 16
Option 3: 26
Option 4: 30
Correct Answer: 26
Solution : Given: The mean of 9 observations is 16. One more observation is included and the new mean after becomes 17. Tenth observation = sum of ten observations – sum of nine observations = (17 × 10) – (16 × 9) = 170 – 144 =
Question : Identify the segment in the sentence which contains a grammatical error.
The seat which you are sitting on is my.
Option 1: which you
Option 2: is my
Option 3: The seat
Option 4: are sitting on
Correct Answer: is my
Solution : The correct choice is the second option.
My should be replaced with mine to make the sentence grammatically accurate, as my is usually followed by a noun, whereas mine is used without a following noun to indicate ownership.
Therefore, the correct sentence is:
Question : Directions: Which answer figure will combine the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
Option 1: 4 : 70
Option 2: 3 : 30
Option 3: 6 : 222
Option 4: 7 : 350
Correct Answer: 4 : 70
Solution : Let's check the options – First option: 4 : 70; 70 is not divisible by 4. Second option: 3 : 30; 30 ÷ 3 = 10; 30 is divisible by 3. Third option: 6 : 222; 222 ÷ 6 = 37; 222 is
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
In 700 BCE Greek poet Hesiod (1)_____ "Theogony" and "Work and Days". In these mythologies, Atlas was a Titan (2)______ enormous strength. He, along with other titans (3)_______ the gods of Mount Olympus. While the other Titans were banished to Tartaras after being defeated by the god Zeus as retribution, Atlas (4)_______ was forced to carry the earth and the sky for an eternity. In depictions of Atlas, obviously carved by human based on myths, he is shown as a stooped figure carrying the (5)_____ on his shoulders. Because of his association with the globe, maps began to be decorated with this image of Atlas. Question: Select the most appropriate option to fill in the blank No. 5.
Option 1: universe
Option 2: globe
Option 3: seas
Option 4: heavens
Correct Answer: globe
The word globe fits well in the context, as it refers to the Earth. In mythology, Atlas is often depicted as carrying the celestial spheres, representing the earth and the sky.
The use of "globe" accurately captures the
Question : Which of the following are the most important teachings of Gandhiji?
A. Truth
B. Non-Violence
C. Religion
D. Satyagraha
select the correct code:
Option 1: A and C only
Option 2: B and D only
Option 3: A and B only
Option 4: A, B and C only
Correct Answer: B and D only
Solution : The correct option is B and D only.
The term Satyagraha was coined and developed by Mahatma Gandhi; it means holding firmly to truth. Satyagraha and non-violence were the two main features of Gandhi's movement. Following his return from South Africa, Gandhiji
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