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Question : Ebraham Alkazi is an eminent personality in which one of the following area ?
Option 1: Heart surgery
Option 2: Civil aviation
Option 3: Theatre
Option 4: Painting
Correct Answer: Theatre
Solution : The correct option is - Theatre
Ebrahim Alkazi was a prominent figure in Indian theatre, renowned as a director and educator. He held the position of director at the National School of Drama in New Delhi from 1962 to 1977. Furthermore, he gained recognition as
Question : Directions: The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
Question : A person standing at a distance looks at a building having a height of 1000 metres. The angle between the top of the building and the ground is 30o. At what approximate distance (in metres) is the person standing away from the building?
Option 1: 1000
Option 2: 936
Option 3: 1732
Option 4: 1542
Correct Answer: 1732
Solution : Given: AB = Height of the building = 1000 metres Let the distance of the man from the building, BC be $x$. From $\triangle$ ABC, we get $\tan 30° = \frac{AB}{BC}$ ⇒ $\frac{1}{\sqrt{3}}= \frac{1000}{x}$ ⇒ $ x = 1000\sqrt{3}$ ⇒ $x$ = 1000 × 1.732
Question : Fill in the blank with the most appropriate word.
It is not easy to distinguish a loyal friend ______ a flatterer.
Option 1: from
Option 2: and
Option 3: among
Option 4: between
Correct Answer: from
Solution : The correct choice is the first option.
Explanation: From is the correct preposition to use in this context, as it is used in cases of differentiation or comparison. It helps in distinguishing one thing from another and conveying the intended meaning that it
Question : Direction: Given equations are solved on the basis of a certain system. Find the correct answer for the unsolved equation on that basis.
2 + 4 + 6 = 48 and 3 + 2 + 8 = 48 , then 2 + 5 + 7 = ?
Option 1: 48
Option 2: 70
Option 3: 14
Option 4: 59
Correct Answer: 70
Solution : Here, in the given equations, we have–
2 + 4 + 6 = 48 ⇒ 2 x 4 x 6 = 48 3 + 2 + 8 = 48 ⇒ 3 x 2 x 8 = 48
Here, from the above two equations we can
Question : Crocodiles have ______ heart chambers.
Option 1: four
Option 2: five
Option 3: two
Option 4: three
Correct Answer: four
Solution : The correct option is four.
Crocodiles have a four-chambered heart. The heart of a crocodile is similar to that of birds and mammals, exhibiting a complete separation of oxygenated and deoxygenated blood. The four chambers are composed of two atria and two ventricles, allowing
Question : If $2s = a + b + c$, then the value of $s(s - c) + (s - a)(s - b)$ is:
Option 1: $ab$
Option 2: $abc$
Option 3: $0$
Option 4: $\frac{a+b+c}{2}$
Correct Answer: $ab$
Solution : Given: $2s = a + b + c$ ⇒ $s = \frac{a\:+\:b\:+\:c}{2}$ Now, $s(s - c) = (\frac{a\:+\:b\:+\:c}{2})(\frac{a\:+\:b\:+\:c}{2}-c)$ ⇒ $s(s - c) =(\frac{a\:+\:b\:+\:c}{2})(\frac{a\:+\:b\:-\:c}{2})$ Also, $(s - a)(s - b) = (\frac{a\:+\:b\:+\:c}{2}-a)(\frac{a\:+\:b\:+\:c}{2}-b)$ ⇒ $(s - a)(s - b) = (\frac{b\:+\:c\:-\:a}{2})(\frac{a\:+\:c\:-\:b}{2})$ So, $s(s - c) + (s
Question : Possible measures of the three angles of a triangle are:
Option 1: 33°, 42°, and 115°
Option 2: 40°, 70°, and 80°
Option 3: 30°, 60°, and 100°
Option 4: 50°, 60°, and 70°
Correct Answer: 50°, 60°, and 70°
Solution : The sum of the angles of a triangle is 180°. Here, 50° + 60° + 70° = 180° Hence, the correct answer is '50°, 60°, and 70°'.
Question : What is the value of $(a^2+b^2+4c^2-ab-2bc-2ca)(a+b+2c)$?
Option 1: $a^3 + b^3 + 8c^3 – 8abc$
Option 2: $a^3 + b^3 + 6c^3 – 4abc$
Option 3: $4a^3 + b^3 + 8c^3 – 9abc$
Option 4: $a^3 + b^3 + 8c^3 – 6abc$
Correct Answer: $a^3 + b^3 + 8c^3 – 6abc$
Solution : $(a^2+b^2+4c^2-ab-2bc-2ca)(a+b+2c)$ $= a^3+b^2a+4c^2a-a^2b-2abc-2ca^2 + a^2b+b^3+4c^2b-ab^2-2b^2c-2abc + 2a^2c+2b^2c+8c^3-2abc-4bc^2-4c^2a$ $= a^3+b^3+8c^3-2abc-2abc-2abc+b^2a-ab^2+4c^2a-4c^2a-a^2b+ a^2b-2ca^2 + 2a^2c-2b^2c+2b^2c-4bc^2+4c^2b$ $= a^3+b^3+8c^3-6abc$ Hence, the correct answer is $ a^3+b^3+8c^3-6abc$.
Question : An indifference curve measures the same level of:
Option 1: output from two factors
Option 2: satisfaction from two commodities
Option 3: satisfaction from income and capital
Option 4: satisfaction from expenditure and saving
Correct Answer: satisfaction from two commodities
Solution : The correct answer is satisfaction from two commodities.
An indifference curve is a graph that depicts all the combinations of two commodities that provide the same satisfaction to the consumer. Indifference curves are downward sloping because customers are prepared to trade off
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