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Question : Let A and B be two towers with the same base. From the midpoint of the line joining their feet, the angles of elevation of the tops of a and b are 30o and 45o, respectively. The ratio of the heights of A and B is:
Option 1: $1: 3$
Option 2: $1: \sqrt{3}$
Option 3: $\sqrt{3}: 1$
Option 4: $3: 1$
Correct Answer: $1: \sqrt{3}$
Solution : In $\triangle ACE$, $\frac{AC}{CE} = \tan 30^{\circ}$ ⇒ $\frac{AC}{CE} = \frac{1}{\sqrt3}$ ⇒ $CE = \sqrt3 AC$ -------------(i) In $\triangle BDE$, $\frac{BD}{ED} = \tan 45^{\circ}$ ⇒ $\frac{BD}{ED} = 1$ ⇒ $ED = BD$ -------------(ii) Since CE = ED, ⇒ $\sqrt 3 AC = BD$ ⇒
Question : Which of the following is not a classical dance of India?
Option 1: Bhangra
Option 2: Bharatanatyam
Option 3: Manipuri
Option 4: Kathak
Correct Answer: Bhangra
Solution : The correct answer is Bhangra.
It is a traditional folk dance that originated in the Punjab region of India. Bhangra is not a classical dance form. It is the most famous folk dance form in Punjab. The Indian classical dance forms are Bharatanatyam, Kuchipudi,
Question : The marked price of an article is 40% more than its cost price. If a 10% discount is given, what is the profit percentage?
Option 1: 10%
Option 2: 20%
Option 3: 26%
Option 4: 32%
Correct Answer: 26%
Solution : Given: The marked price of an article is 40% more than its cost price. Let, the cost price be 100 units. So, the marked price is (100 + 40% of 100) = 100 + 40 = 140 units A discount of 10% on the marked
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.
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