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Question : Directions: Select the option related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 7 : 36 :: 16 : 225 :: 21 : ?
Option 1: 400
Option 2: 385
Option 3: 441
Option 4: 395
Correct Answer: 400
Solution : Given: 7 : 36 :: 16 : 225 :: 21 : ?
Subtract 1 from the first number, and then square the resultant, to get the second number – Like, 7 : 36→(7 – 1)2 = 36 And, 16 : 225→(16 – 1)2
Question : What is the famous "Chipko Movement" associated with?
Option 1: Saving the tigers
Option 2: Saving the wetland
Option 3: None of these
Option 4: Trees
Correct Answer: Trees
Solution : The correct option is Trees.
The Chipko Movement originated in the village of Mandal, in the state of Uttarakhand (then part of the state of Uttar Pradesh), India, in 1973. The movement was triggered by the government's decision to allow logging in the forests,
Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pair of numbers 56 – 63
Option 1: 154 – 171
Option 2: 104 – 117
Option 3: 134 – 153
Option 4: 28 – 39
Correct Answer: 104 – 117
Solution : Given: 56 – 63
Divide the first number by 8 and the second number by 9 and the results are the same in the given pair of numbers – (56 – 63)→56 ÷ 8 = 7 and 63 ÷ 9 = 7
Let's
Question : Which of the following pairs is correct?
I. Summer Olympics 2020-Tokyo
II. Summer Olympics 2016- Rio de Janeiro
III. Summer Olympics 2012-London
Option 1: Only I and II
Option 2: Only I and III
Option 3: Only II and III
Option 4: All are correct
Correct Answer: All are correct
Solution : The correct answer is All are correct.
For the first time, the Olympics happened in 1896 in Athens, Greece.
The locations of some of the recent Olympic events are:
Question : The curved surface area of a solid hemisphere is 22 cm2. What is the total surface area of the hemisphere? (use $\pi=\frac{22}{7}$)
Option 1: 66 cm2
Option 2: 44 cm2
Option 3: 33 cm2
Option 4: 30 cm2
Correct Answer: 33 cm2
Solution : Given: The curved surface area of a solid hemisphere is 22 cm2. The curved surface area of the hemisphere = $2\pi r^2$ The total surface area of the hemisphere = $3\pi r^2$ where $r$ is the radius. According to the question,
Question : Directions: Select the option figure in which the given figure is embedded (Rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Hence, the fourth option is correct.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? $\frac{1}{2}, \frac{3}{4}, ?, \frac{5}{4}$
Option 1: 1
Option 2: $\frac{1}{4}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{2}{3}$
Correct Answer: 1
Solution : Given: $\frac{1}{2}, \frac{3}{4}, ?, \frac{5}{4}$
In the given series, add $\frac{1}{4}$ to the previous number to get the next number. $\frac{1}{2}$ + $\frac{1}{4}$ = $\frac{3}{4}$; $\frac{3}{4}$ + $\frac{1}{4}$ = $\frac{4}{4}$ = 1; 1 + $\frac{1}{4}$ = $\frac{5}{4}$
So, 1 is the missing number of the
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. Body language (1)_____ ideas or thoughts by certain actions, either intentionally or unintentionally. A (2)_____ can be a way of flirting or indicating that the party is only joking. A (3)_____ signifies approval, while (4)_____ of the head indicates a negative reaction.
Other forms of non-(5)_____ language can be found in Braille (a system of raised dots read with the fingertips), signal flags, Morse code, and smoke signals.
Question: Select the most appropriate option to fill in the blank number 3.
Option 1: shake
Option 2: wink
Option 3: clap
Option 4: nod
Correct Answer: nod
Solution : The fourth option is the correct choice.
In the context of the sentence, a nod is mentioned as a form of body language that signifies approval. A nod is a common nonverbal gesture where the head is moved up and down, typically indicating agreement or
Question : If $ax+by=1$ and $bx+ay=\frac{2ab}{a^{2}+b^{2}}$, then $(x^{2}+y^{2})(a^{2}+b^{2})$ is equal to:
Option 2: 2
Option 3: 0.5
Option 4: 0
Solution : $ax+by=1$ ---------------------------------------(1) $bx+ay=\frac{2ab}{a^{2}+b^{2}}$ -----------------------------------(2) On dividing equation (1) by (2), we get, ⇒ $\frac{ax+by}{bx+ay}=\frac{a^{2}+b^{2}}{2ab}$ ⇒ $2a^{2}xb+2ab^{2}y=a^{2}bx+b^{3}x+a^{3}y+ab^{2}y$ ⇒ $a^{2}xb+ab^{2}y=b^{3}x+a^{3}y$ ⇒ $a^{2}xb-b^{3}x=a^{3}y-ab^{2}y$ ⇒ $x(a^{2}b-b^{3})=y(a^{3}-ab^{2})$ ⇒ $\frac{x}{y}=\frac{(a^{3}-ab^{2})}{(a^{2}b-b^{3})}$ ⇒ $\frac{x}{y}=\frac{a(a^{2}-b^{2})}{b(a^{2}-b^{2})}$ ⇒ $\frac{x}{y}=\frac{a}{b}$ ---------------------------------(3) Putting the value of $(x,y)$ from equation (3) in equation (1), we get, ⇒ $y=\frac{b}{a^{2}+b^{2}}$ ⇒
Question : The time required for a sum of money to amount to three times itself at 8% simple interest p.a. will be:
Option 1: 35 years
Option 2: 25 years
Option 3: 30 years
Option 4: 20 years
Correct Answer: 25 years
Solution : Given: Rate is 8% Let the Principle be P. It amounts to 3 times of itself. Simple interest = 3P – P = 2P We know, Simple interest $= \frac{\text{Principal × Rate × Time}}{100}$ ⇒ $2P =\frac{P×8×\text{Time}}{100}$ ⇒ Time = 25 years Hence, the
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