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Question : Directions: In the following question, choose the correct alternative which will improve the part of the sentence given in quotes.
Chandra's good gestures "will highly appreciated".
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: The phrase will highly appreciated should be replaced with will be highly appreciated to convey the intended meaning. The sentence uses the simple future tense in the passive voice as per the format object +
Question : If $\left (x+\frac{1}{x}\right )=5$, find the value of $\frac{6x}{x^{2}+x+1}$.
Option 1: 3
Option 3: 1
Option 4: 0
Correct Answer: 1
Solution : Given: $\left (x+\frac{1}{x} \right)=5$ ⇒ $\frac{x^2+1}{x}=5$ ⇒ $x^2+1=5x$ Adding $x$ on both sides, ⇒ $x^2+1+x=5x+x$ ⇒ $x^2+x+1=6x$ Now, put the value of $x^2+x+1=6x$ in the expression $\frac{6x}{x^{2}+x+1}$ So, $\frac{6x}{x^{2}+x+1}=\frac{6x}{6x}=1$ Hence, the correct answer is 1.
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence. (O) on a regular basis can improve (P) engaging in physical activity (Q) the risk of chronic diseases, and boost mental health (R) cardiovascular health, reduce
Option 1: RPOQ
Option 2: PROQ
Option 3: PORQ
Option 4: OQRP
Correct Answer: PORQ
Solution : The third option is the correct answer.
It begins by introducing the subject, (P). Subsequently, it adds details about the manner in which this activity is conducted, (O). Moving on, the sentence highlights one of the positive outcomes, (R). Finally, it expands on the health
Question : Indian musician Ustad Alla Rakha Qureshi is associated with a ____ musical instrument.
Option 1: Flute
Option 2: Tabla
Option 3: Sarod
Option 4: santoor
Correct Answer: Tabla
Solution : The correct option is Tabla.
Ustad Alla Rakha Qureshi was a renowned Indian Tabla player. He was born on April 29, 1919, and passed away on February 3, 2000. Ustad Alla Rakha collaborated with many prominent musicians, including the famous Sitar player Ravi Shankar
Question : Two pipes, S1 and S2, can alone fill an empty tank in 15 hours and 20 hours, respectively. Pipe S3 alone can empty that filled tank in 40 hours. Firstly, both pipes, S1 and S2, are opened and after 2 hours, pipe S3 is also opened. In how much time will the tank be filled after S3 is opened?
Option 1: $\frac{90}{17}\ \text{hours}$
Option 2: $\frac{89}{12}\ \text{hours}$
Option 3: $\frac{90}{13}\ \text{hours}$
Option 4: $\frac{92}{11}\ \text{hours}$
Correct Answer: $\frac{92}{11}\ \text{hours}$
Solution : Let the capacity of the tank be 120 units (LCM of 15, 20, and 40) Pipe A fills = $\frac{120}{15}$ = 8 units per hour Pipe B fills = $\frac{120}{15}$ = 6 units per hour Pipe C empties = $\frac{120}{40}$ = 3 units per
Question : Washing of peeled vegetables removes the vitamin
Option 1: A
Option 2: C
Option 3: D
Option 4: E
Correct Answer: C
Solution : The correct option is Vitamin C.
Some vitamin C is lost when vegetables are washed. Because vitamin C is a water-soluble vitamin, it dissolves in water. When you wash vegetables, part of the vitamin C is washed away. The quantity of vitamin C lost during
Question : If the amount is $3\frac{3}{8}$ times the sum after 3 years at compound interest compounded annually, then the Rate of interest per annum is:
Option 1: $25$%
Option 2: $50$%
Option 3: $16\frac{2}{3}$%
Option 4: $33\frac{1}{3}$
Correct Answer: $50$%
Solution : Let the principal be Rs. $x$. Rate of interest = R% Time = 3 years Amount = $3\frac{3}{8}=3.375x$ We know, $\text{Total amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $⇒3.375x = x(1 + \frac{R}{100})^{3}$ $⇒3.375 =(1 + \frac{R}{100})^{3}$ $⇒(1 + \frac{R}{100})^{3} = (1.5)^{3}$ $⇒(1 + \frac{R}{100}) = (1.5)$ $⇒\frac{R}{100}=0.5$ $\therefore R=50$% Hence,
Question : As per the 2011 census data from Govt of India, Over the years, the birth rate in India has______and death rates________.
Option 1: risen fallen
Option 2: risen risen
Option 3: fallen fallen
Option 4: fallen risen
Correct Answer: fallen fallen
Solution : The correct answer is fallen fallen.
India is the most populous country in the world. According to the census 2011, both the birth rate and death rate have decreased over time in India. The crude birth rate in India in 1991 was 29.5 while
Question : If $14 : 30 :: 7 : x$, then what is the value of $x$?
Option 1: 15
Option 2: 21
Option 3: 9
Option 4: 12
Correct Answer: 15
Solution : $14 : 30 :: 7 : x$ ⇒ $\frac{14}{30}=\frac{7}{x}$ ⇒ $x = \frac{7\times 30}{14}$ ⇒ $x= 15$ Hence, the correct answer is 15.
Question : The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find its semi-perimeter (in centimetres).
Option 1: 64 cm
Option 2: 60 cm
Option 3: 45 cm
Option 4: 50 cm
Correct Answer: 50 cm
Solution : Semi-perimeter of a triangle $= (\frac{\text{Perimeter}}{2})$ = $\frac{100}{2}$ = 50 cm Hence, the correct answer is 50 cm.
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