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Question : Find the ratio of the LCM of 44, 10, and 5 to the HCF of 50 and 75.
Option 1: 15 : 2
Option 2: 45 : 7
Option 3: 50 : 3
Option 4: 44 : 5
Correct Answer: 44 : 5
Solution : LCM of 44, 10, and 5 = 220 HCF of 50 and 75 = 25 Ratio = 220 : 25 = 44 : 5 Hence, the correct answer is 44 : 5.
Question : If $\left({x}+\frac{1}{x}\right)=2$, then ${x}^7+\frac{1}{x^{117}}=$___________.
Option 1: 1
Option 2: 2
Option 3: 4
Option 4: 3
Correct Answer: 2
Solution : Given: That $\left({x}+\frac{1}{x}\right)=2$, $⇒ \frac{x^2+1}{x}=2$ $⇒ x^2-2x+1= 0$ $⇒ (x-1)^2=0$ $⇒ x = 1$ Substituting $x = 1$ into the expression ${x}^7+\frac{1}{x^{117}}$ $1^7 + \frac{1}{1^{117}} = 1 + 1 = 2$. Hence, the correct answer is 2.
Question : Which one of the following is not a sect of Buddhism?
Option 1: Mahayana
Option 2: Hinayana
Option 3: Digambar
Option 4: Theravad
Correct Answer: Digambar
Solution : The Correct Answer is Digambar
In reference to their customary monastic practice of neither owning nor donning any clothing, the Sanskrit word Digambara means "sky-clad." According to the Digambaras, being naked is a requirement for salvation. Currently, the majority of Digambara Jain communities are concentrated
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below: (The words must be considered meaningful English words and must not be related to each other based on the number of letters/consonants/vowels in the word.) Bitter : Pungent
Option 1: Boggle : Wonder
Option 2: Digitise : Digress
Option 3: Cider : Cine
Option 4: Cite : Cirrus
Correct Answer: Boggle : Wonder
Solution : Given: Bitter : Pungent (Bitter and Pungent are synonyms where the meaning of bitter is having a sharp pungent taste or smell.)
First option: Boggle : Wonder; Boggle and wonder are synonyms where wonder refers to a feeling of amazement or admiration. Second
Question : Directions: Keshav walks 15 km towards the south. He takes a right turn and walks 25 km. He takes a right turn and walks 10 km. In which direction is he from his starting point?
Option 1: South-West
Option 2: South
Option 3: South-East
Option 4: West
Correct Answer: South-West
Solution : As per the given instructions, the movement of Keshav will look as follows –
Therefore, the direction of Keshav from his starting position is South-West. Hence, the first option is correct.
Question : Which of the following pair of Thumri singing – characteristics is correct?
I. Poorab – fairly slow and staid
II. Punjab – more mercurial.
Option 1: Only I
Option 2: Both I and II
Option 3: Only II
Option 4: Neither I nor II
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
Vocals are used in the Indian musical genre known as thumri. It is particularly well-known in Uttar Pradesh. The lyrics are usually written in two Hindi dialects from Uttar Pradesh, Awadhi and Brij Bhasha.
Question : Suspension particles have a size between
Option 1: 10-2 and 10-4 cm
Option 2: 10-5 and 10-7 cm
Option 3: 10-8 and 10-10 cm
Option 4: 10-1 and 10-2 cm
Correct Answer: 10-2 and 10-4 cm
Solution : The correct option is 10-2and 10-4 cm.
The sizes of particles of suspension range from 10-2 cm (0.01 cm) and 10-4 cm (0.0001 cm). These particles are bigger than molecules or ions in liquids
Question : If $(a+b+c) \neq 0$, then $(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$ is equal to:
Option 1: $a^3+b^3-c^3-3abc$
Option 2: $a^3-b^3+c^3-3abc$
Option 3: $a^3+b^3+c^3-3abc$
Option 4: $a^3+b^3+c^3+3abc$
Correct Answer: $a^3+b^3+c^3-3abc$
Solution : Given: $(a+b+c)\left(a^2+b^2+c^2-ab-bc-ca\right)$ Simplifying this expression, we have: $(a^3+ab^2+ac^2–a^2b–abc–ca^2+a^2b+b^3+bc^2–ab^2–b^2c–abc+a^2c+b^2c+c^3–abc–bc^2–c^2a)$ = $(a^3+b^3+c^3–3abc)$ Hence, the correct answer is $(a^3+b^3+c^3–3abc)$.
Question : "Bombay" Jayashri Ramnath is a famous __________singer of India.
Option 1: carnatic
Option 2: folk
Option 3: jazz
Option 4: hip-hop
Correct Answer: carnatic
Solution : The correct answer is carnatic.
Jayashri Ramnath, sometimes referred to as Bombay Jayashri, is a playback singer for Indian films, especially Tamil films and a performer of Carnatic music. One of the few vocalists who embodies erudition, heritage, honey voice and profound mano dharma is
Question : Study the given table and answer the question that follows. The table shows the consumption of various grains by four families of four members each from 2002 to 2005.
For the total of these four families, what is the difference (in kg) between the average consumption per year of wheat and that of oats?
Option 1: 129.5
Option 2: 90.67
Option 3: 70.75
Option 4: 63.5
Correct Answer: 70.75
Solution : Average consumption per year of wheat = $\frac{162 + 196 + 187 + 189}{4}$ = $\frac{734}{4}$ = 183.5 Average consumption per year of oats = $\frac{131 + 116 + 103 + 101}{4}$ = $\frac{451}{4}$ = 112.75 $\therefore$ Difference = 183.5 – 112.75 = 70.75 Hence,
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