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Question : A circle is inscribed in $\triangle $PQR touching the sides QR, PR and PQ at the points S, U and T, respectively. PQ = (QR + 5) cm, PQ = (PR + 2) cm. If the perimeter of $\triangle $PQR is 32 cm, then PR is equal to:
Option 1: 10 cm
Option 2: 13 cm
Option 3: 8 cm
Option 4: 11 cm
Correct Answer: 11 cm
Solution : ⇒ PQ = (QR + 5) cm ⇒ PQ = (PR + 2) cm From the above two equations, ⇒ PR = (QR +3) cm The perimeter of $\triangle $PQR is 32 cm. ⇒ PQ + QR + PR = 32 cm ⇒ PQ
Question : The Chari Folk dance is primarily performed by women of which Indian state?
Option 1: Odisha
Option 2: Karnataka
Option 3: Jharkhand
Option 4: Rajasthan
Correct Answer: Rajasthan
Solution : The correct answer is Rajasthan.
The Chari folk dance, also known as the "Chari Dance," is primarily performed by women in the Indian state of Rajasthan. This traditional dance form is a significant part of the cultural heritage of Rajasthan and is often performed
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error."
My friend will not come to attend this marriage unless he is not invited.
(1) No Error
(2) My friend will not come
(3) to attend this marriage
(4) unless he is not invited.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The fourth option is the correct choice.
The error is "unless he is not invited".
The word "not" should be removed to avoid redundancy in the sentence because unless means "if not" and the use of double negatives "unless" and "not
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
Although he was tired, he went out for playing.
(1) goes out for playing.
(2) goes out for play.
(3) went out to play.
(4) No improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
The reason for this improvement is that went out to play is the correct expression to indicate someone leaving his current location to engage in recreational activities.
Goes out for playing and goes out for
Question : The marked price of the cupboard is INR 15,750, which is 50% above its cost price. It is sold at a discount of 40%. What is the profit/loss percentage?
Option 1: Profit, 10%
Option 2: Loss, 10%
Option 3: Loss, 20%
Option 4: Profit, 20%
Correct Answer: Loss, 10%
Solution : MP is 50% more than CP Here the cost price is denoted by CP, the selling price is denoted by SP, and the marked price is denoted by MP. Let CP = 100$x$ So, MP = 150% of $x$ = 150$x$ After discount of
Question : Direction: A man showed a boy next to him and said, "He is the son of my wife's sister-in-law, but I am the only child of my parents". How is my son related to him?
Option 1: Nephew
Option 2: Cousin
Option 3: Brother
Option 4: Uncle
Correct Answer: Cousin
Solution : First, we need to draw a family tree.
Now, we clearly see that man's wife's sister-in-law is his wife's brother's wife because the man is the only child of his parents.
So, the man's son is the cousin of that boy.
Hence, the second
Question : Which one of the following is the purest commercial form of iron?
Option 1: Pig iron
Option 2: Steel
Option 3: Stainless steel
Option 4: Wrought iron
Correct Answer: Wrought iron
Solution : The correct option is Wrought iron.
Its carbon percentage is 0.12 - 0.25%. Impurities (Mn, Si, P) are present in low amounts. On melting of cast iron with scrap iron in a reverberatory furnace, wrought iron is formed. It is relatively soft, malleable
Question : Aman wants to get his spherical overhead water tank having a diameter of 7 m, painted. If the cost of painting is Rs. 13 per square metre, find the cost of painting Aman's spherical overhead water tank. (Use $\pi=\frac{22}{7}$)
Option 1: Rs. 1872
Option 2: Rs. 1984
Option 3: Rs. 2002
Option 4: Rs. 1926
Correct Answer: Rs. 2002
Solution : The surface area, $A$ of a sphere, where $r$ is the radius of the sphere. $A = 4\pi r^2$ Given that the diameter $d$ is 7 m $\therefore r = \frac{7}{2} = 3.5$ m Substituting $r = 3.5$ m and $\pi = \frac{22}{7}$ into
Question : Directions: Five persons Lopa, Kripa, Sumi, Jani, and Sush are sitting in a straight line facing north. Sush is to the immediate left of Sumi. Jani is to the immediate right of Lopa. Kripa is between Sush and Jani. Who is sitting between Lopa and Kripa?
Option 1: Data is inadequate
Option 2: Either Sush or Sumi
Option 3: Jani
Option 4: Sush
Correct Answer: Jani
Solution : Given: (I) Five persons Lopa, Kripa, Sumi, Jani, and Sush are sitting in a straight line facing north. Sush is to the immediate left of Sumi.
(II) Jani is to the immediate right of Lopa. Kripa is between Sush and Jani.
So, Jani sits between
Question : The "Mein Kampf" was written by
Option 1: Adolf Hitler
Option 2: Benito Amilcare Andrea Mussolini
Option 3: Otto von Bismarck
Option 4: Giuseppe Mazzini
Correct Answer: Adolf Hitler
Solution : The correct answer is Adolf Hitler.
Mein Kampf was written by Adolf Hitler. The manifesto, which is semi-autobiographical, lays forth Hitler's political philosophy, and his ideas for Germany. The first portion of the book was written in 1925, and the second part in 1926.
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