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Question : Concerning Manipuri classical dance, which of the following statements is correct?
a) Lai Haraoba is the earliest form of Manipuri dance.
b) Ras, Sankirtana and Thang-Ta are the most popular forms of this dance.
c) Manipuri dance has its origin in the Jain traditional dance form.
Option 1: a, b, c
Option 2: Both a and c
Option 3: Both a and b
Option 4: Both b and c
Correct Answer: Both a and b
Solution : The correct answer is Both a and b.
Question : In a journey of three unequal laps, a car covers a distance of 200 km in 4 hr in the first lap, while another 162 km at the speed of 15 m/s in the second lap. It covered the remaining distance of the final lap in 4 hr such that the average speed of the car for the entire journey was 50 km/hr. What was the speed of the car on the third lap of the journey?
Option 1: 47 km/hr
Option 2: 52 km/hr
Option 3: 42 km/hr
Option 4: 45 km/hr
Correct Answer: 47 km/hr
Solution : The concept used here is that the average speed is the total distance travelled divided by the total time taken. Speed in the second lap = 15 m/s = $\frac{15×18}{5}$ km/hr = 54 km/hr Time taken in second lap = $\frac{162}{54}$ hrs = 3
Question : If $\left (4x+\frac{1}{x} \right)=5,x\neq 0,$ then the value of $\frac{5x}{4x^{2}+10x+1}$ is:
Option 1: $\frac{1}{2}$
Option 2: $\frac{1}{3}$
Option 3: $\frac{2}{3}$
Option 4: $3$
Correct Answer: $\frac{1}{3}$
Solution : Given: $(4x+\frac{1}{x})=5$ ⇒ $\frac{4x^{2}+1}{x}=5$ ⇒ $4x^{2}+1=5x$ ⇒ $4x^{2}=5x-1$ Now, putting the value of $4x^{2}$ in $\frac{5x}{4x^{2}+10x+1}$ $=\frac{5x}{5x–1+10x+1}=\frac{5x}{15x}=\frac{1}{3}$ Hence, the correct answer is $\frac{1}{3}$.
Question : If $\sin P=\frac{15}{22}$, then what is the value of $\tan P$?
Option 1: $\frac{16}{\sqrt{259}}$
Option 2: $\frac{22}{\sqrt{259}}$
Option 3: $\frac{14}{\sqrt{259}}$
Option 4: $\frac{15}{\sqrt{259}}$
Correct Answer: $\frac{15}{\sqrt{259}}$
Solution : $\sin P=\frac{15}{22}$ We know, $\cos A = \sqrt{(1 - \sin^2 A)}$ So, $\cos A = \sqrt{(1 - (\frac{15}{22})^2}$ ⇒ $\cos A = \sqrt{(1 - (\frac{225}{484})}$ ⇒ $\cos A = \sqrt{\frac{259}{484}}$ ⇒ $\cos A = \frac{\sqrt{259}}{22}$ So, $\tan A = \frac{\sin A}{\cos A}= \frac{\frac{15}{22}}{ \frac{\sqrt{259}}{22}}= \frac{15}{\sqrt{259}}$
Question : Direction: The table below shows the percentage of literate people in 6 cities. This table also shows the ratio of males to females among literate people.
Percentage of literate people of any city =$\frac{\text{Literate people of the city}}{\text{Total population of the city}} × 100$ The populations of the 6 cities are 250000$,$ 200000$,$ 220000$,$ 300000$,$ 150000 and 400000 respectively. What is the correct order of the number of literate people in these cities?
Option 1: City 6 > City 1 > City 4 > City 2 > City 3 > City 5
Option 2: City 4 > City 6 > City 1 > City 2 > City 3 > City 5
Option 3: City 6 > City 4 > City 1 > City 3 > City 2 > City 5
Option 4: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Correct Answer: City 6 > City 1 > City 4 > City 3 > City 2 > City 5
Solution : In city 1, there are 80% of 250000 literate people, i.e. $80 \times \frac{250000}{100}=200000$ literate people. In city 2, there are 85% of the 200000 literate people, i.e. $85
Question : Directions: Which answer figure will complete 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 second option is correct.
Question : Directions: If a cube is made using the given arrangements, which colour will be opposite the colour Green?
Option 1: Orange
Option 2: Red
Option 3: Silver
Option 4: Violet
Correct Answer: Violet
Solution : According to the dice rule, if two or more positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
So, the opposite
Question : An instrument for measuring the hardness of substances is called
Option 1: Lucimeter
Option 2: Keraunograph
Option 3: Durometer
Option 4: Hygrometer
Correct Answer: Durometer
Solution : The correct option is the Durometer.
In the case of polymers most often, a durometer is a tool used to gauge a material's hardness. Tougher materials with better indentation resistance are indicated on the scale by higher numbers. Lower values signify materials that are
Question : Directions: In the following question, find the wrong number in the series. 28, 33, 31, 36, 34, 29
Option 1: 29
Option 2: 36
Option 3: 30
Option 4: 34
Correct Answer: 29
Solution : Given: 28, 33, 31, 36, 34, 29
Add 5 and subtract 3 alternatively from each number to get the next number of the series. 28 + 5 = 33; 33 – 2 = 31; 31 + 5 = 36; 36 – 2 = 34; 34
Question : Choose the option that is the correct direct form of the sentence.
The teacher asked me if I had seen the match.
Option 1: "Did you see the match?" the teacher said to me.
Option 2: "Did you had saw the match?" the teacher said to me.
Option 3: "Did you saw the match?" the teacher said to me.
Option 4: "Did you seen the match?" the teacher said to me.
Correct Answer: "Did you see the match?" the teacher said to me.
Solution : The correct choice is the first option.
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