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Question : Find the radius of the circle $x^2+y^2=25$.
Option 1: 25 units
Option 2: 5 units
Option 3: 2 units
Option 4: 12 units
Correct Answer: 5 units
Solution : Equation of a circle with centre (0,0): $x^2+y^2=r^2$ where $r$ is the radius of the circle. The radius of the circle $x^2+y^2=25$ ⇒ $r=\sqrt{25}$ = 5 units Hence, the correct answer is 5 units.
Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively? × and +, 3 and 9 I. 7 × 9 – 8 ÷ 2 + 3 II. 4 × 9 – 3 + 8 ÷ 2
Option 1: 0, 1
Option 2: –26, –29
Option 3: 6, 0
Option 4: 12, 13
Correct Answer: –26, –29
Solution : Given: × and +, 3 and 9 I. 7 × 9 – 8 ÷ 2 + 3 II. 4 × 9 – 3 + 8 ÷ 2
Equation I: 7 × 9 – 8 ÷ 2 + 3 On replacing the given symbols and
Question : If the radius of a sphere is decreased by 48%, then by what percentage does its surface area decrease?
Option 1: 82.91%
Option 2: 72.96%
Option 3: 78.98%
Option 4: 86.26%
Correct Answer: 72.96%
Solution : Given: the radius of a sphere is decreased by 48%. Let the radius be $r$, then the surface area of the sphere = $4\pi r^2$ Now the radius has decreased by 48%, So, the radius = $r-0.48r$ = $0.52r$ And the new area = $4\pi
Question : Single-celled life forms were discovered by Antonie van Leeuwenhoek in _______.
Option 1: 1774
Option 2: 1884
Option 3: 1837
Option 4: 1674
Correct Answer: 1674
Solution : The correct option is 1674.
Single-celled life forms were discovered by Antonie van Leeuwenhoek in the late 17th century. Specifically, he made this discovery in 1674. Van Leeuwenhoek was a Dutch scientist and is often considered one of the pioneers of microbiology for his
Question : Given here are four sentences. The first sentence is in correct order, while the rest of the sentences are jumbled. Pick the option that gives their correct order. A. The Brahman used to teach pupils from time to time. B. This young man knew that the Brahmin was in possession of a certain spell. C. He had one pupil of whom he thought very highly. D. But he didn't know what the spell could do.
Option 1: ADBC
Option 2: ABCD
Option 3: ACBD
Option 4: ABDC
Correct Answer: ACBD
Solution : The third option is the correct choice.
The logical flow of sentences is:
Question : Who among the following is not associated with the Kuchipudi dance form?
Option 1: Ghanakanta Bora Muktiyar
Option 2: Vyjayanthi Kashi
Option 3: Vempati Chinna Satyam
Option 4: Radha Reddy
Correct Answer: Ghanakanta Bora Muktiyar
Solution : The correct option is Ghanakanta Bora Muktiyar.
Ghanakanta Bora Muktiyar was a prominent figure in the field of Assamese classical dance known as Sattriya. Sattriya is one of the classical dance forms of India, and it originated in the Vaishnavite monasteries or Satras
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: All animals are four-footed. The dog has two legs. Conclusions: I. The dog is not an animal. II. The dog is an animal.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Neither I nor II follows
Option 4: Both I and II follow
Correct Answer: Only I follows
Solution : Based on the given statements, let's analyse the conclusions – Conclusion I: The dog is not an animal – According to the given statements, all animals are four-footed and the dog has two legs. So, from this, it can be concluded that a
Question : Directions: In the following question, select the missing number of the given series. 111, 128, 145, 162, 179, ?
Option 1: 194
Option 2: 195
Option 3: 196
Option 4: 190
Correct Answer: 196
Solution : Given: 111, 128, 145, 162, 179, ?
The pattern is as follows – 111 + 17 = 128; 128 + 17 = 145; 145 + 17 = 162; 162 + 17 = 179; 179 + 17 = 196
So, the missing number of the series
Question : Minorities Rights Day is observed in India on:
Option 1: 23rd December
Option 2: 5th September
Option 3: 1st December
Option 4: 18th December
Correct Answer: 18th December
Solution : The correct option is 18th December.
Every year on 18th December, Minorities Rights Day is observed in India to promote the rights of minority populations. This day also emphasises improving understanding of and educating the public on matters about minorities and their protection.
Question : Select the most appropriate meaning of the given idiom.
Grin from ear to ear
Option 1: to make funny faces
Option 2: to have very sharp ears
Option 3: to smile a lot because of happiness
Option 4: to ridicule someone
Correct Answer: to smile a lot because of happiness
Solution : The correct answer is the third option.
Explanation: In the given idiom, grin from ear to ear, the key hint is grin, which is a type of broad smile. The context of the idiom indicates a facial
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