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Question : A fraction is greater than its reciprocal by $\frac{9}{20}$. What is the fraction?
Option 1: $\frac{5}{4}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{4}{3}$
Correct Answer: $\frac{5}{4}$
Solution : Let the fraction be $x$. According to the question, $x-\frac{1}{x}=\frac{9}{20}$ $\Rightarrow 20x^2-9x-20=0$ $\Rightarrow 20x^2-25x + 16x-20=0$ $\Rightarrow 5x (4x-5) + 4x (4x-5)=0$ $\Rightarrow (4x-5) (5x+4)=0$ $\Rightarrow (4x-5) =0$ or $ (5x+4)=0$ $\therefore x=\frac{-4}{5},\frac{5}{4}$ Hence, the correct answer is $\frac{5}{4}$.
Question : If the sum and difference of two angles are 135° and $\frac{\pi}{12}$, respectively, then the value of the angles in degree measure is:
Option 1: 70° and 65°
Option 2: 75° and 60°
Option 3: 45° and 90°
Option 4: 80° and 55°
Correct Answer: 75° and 60°
Solution : Let the two angles be x and y. So, x + y = 135°------------------------------(1) The difference of the two angles is $\frac{\pi}{12}$. So, x – y = $\frac{\pi}{12}=\frac{180}{12}$ = 15° ---------------------------(2) Solving equations (1) and (2), we get, x = 75° So, y
Question : Mohi Bahauddin Dagar, a renowned musician, is known for playing which of the following instruments?
Option 1: Sarangi
Option 2: Rudra veena
Option 3: Sitar
Option 4: Santoor
Correct Answer: Rudra veena
Solution : The correct answer is Rudra Veena.
Mohi Bahauddin is a master of the Rudra Veena, one of India's traditional classical instruments. He performs dagarbani-style rudra veena. Concerning Nayak Haridas Dagar of the sixteenth century, he stands for the twentieth generation of the Dagar family.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
According to some estimates, (1) / there are (2) / seven thousand type of plants. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
Type should be replaced with its plural form types to match the plural form of plants, making the sentence grammatically accurate.
Therefore, the correct sentence is: According to some estimates, there are seven thousand types
Question : A person sold a carpet for INR 360 and incurred a loss of 10%. At what price should it have been sold to make a gain of 20%?
Option 1: INR 400
Option 2: INR 390
Option 3: INR 480
Option 4: INR 420
Correct Answer: INR 480
Solution : Let's see the cost price of the carpet as CP Since Selling Price = Cost Price − Loss So, 360 = CP − 0.10 × CP ⇒ 360 = 0.90 × CP ⇒ CP = $\frac{360}{0.90}$ = 400 Selling Price if profit is 20%
Question : Select the most appropriate ANTONYM of the given word.
SHRINK
Option 1: expand
Option 2: apply
Option 3: resume
Option 4: supply
Correct Answer: expand
Solution : The correct choice is the first option.
Shrink means to become or make smaller in size or volume. Expand means to become or make larger or more extensive. Both are opposite in meaning, which makes them antonyms.
The meanings of the other options are
Question : Choose the word that can substitute for the given group of words.
Famous or well-known for a negative reason.
Option 1: Unpopular
Option 2: Reputable
Option 3: Formidable
Option 4: Notorious
Correct Answer: Notorious
Solution : The correct choice is the fourth option.
Explanation: The word notorious fits the context of being famous or well-known, often for negative reasons or actions. It carries the connotation of having a bad reputation or being widely recognised for undesirable qualities or behaviours.
Therefore,
Question : Kawas Thermal Power Station is located in which of the following states?
Option 1: Gujarat
Option 2: Maharashtra
Option 3: West Bengal
Option 4: Rajasthan
Correct Answer: Gujarat
Solution : The correct option is Gujarat.
Kawas Thermal Power Station is located in the State of Gujarat. Specifically, it is situated in the Kawas village near Surat in the southern part of the state. The power station is operated by Gujarat State Electricity Corporation Limited (GSECL).
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. Thermometer : Temperature :: Seismograph : ?
Option 1: Mass
Option 2: Earthquake
Option 3: Current
Option 4: Distance
Correct Answer: Earthquake
Solution : Given: Thermometer : Temperature :: Seismograph : ?
Like, a thermometer is used to measure temperature. Similarly, a seismograph is used to measure or record seismic activity, specifically earthquakes.
Hence, the second option is correct.
Question : Directions: Select the option 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 the question figure with all the option figures, the given question figure is embedded only in the first option figure.
Hence, the first option is
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