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Question : If $\frac{J}{4}=\frac{K}{5}=\frac{L}{3}$, what is the value of $(L + J)^2:(J +K)^2:(K +L)^2$?
Option 1: 25 : 16 : 9
Option 2: 64 : 25 : 81
Option 3: 49 : 81 : 62
Option 4: 49 : 81 : 64
Correct Answer: 49 : 81 : 64
Solution : Given: $\frac{J}{4}=\frac{K}{5}=\frac{L}{3}$ Let, $\frac{J}{4}=\frac{K}{5}=\frac{L}{3}=x$ So, $J=4x,K=5x$ and $L=3x$ Now, $(L + J)^2:(J +K)^2:(K +L)^2$ = $(3x+4x)^2:(4x+5x)^2:(5x+3x)^2$ = $49x^2:81x^2:64x^2$ = 49 : 81 : 64 Hence, the correct answer is 49 : 81 : 64.
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".
She placed (1) / the offering (2) / to God in the altar. (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.
An altar is a table in a Christian church on which offerings like bread and wine are placed. Hence, the preposition to be used is "on" instead of "in".
Therefore, the correct sentence is:
Question : Who is the author of the epic poem 'Padmaavat'?
Option 1: Kuldip Nayar
Option 2: Kalidasa
Option 3: Malik Muhammad Jayasi
Option 4: Al-Biruni
Correct Answer: Malik Muhammad Jayasi
Solution : The correct option is Malik Muhammad Jayasi.
The epic poem "Padmaavat" was written by the Sufi poet Malik Muhammad Jayasi in the Awadhi language in 1540. It is a fictionalized account of the legendary queen Padmini and the siege of Chittorgarh by Alauddin
Question : Quality of a musical note depends on:
Option 1: Fundamental frequency
Option 2: Amplitude of the wave
Option 3: Harmonics present
Option 4: Velocity of sound in the medium
Correct Answer: Harmonics present
Solution : The correct option is Harmonics present.
The harmonics present determine the quality of a musical note. Overtones or higher frequencies that exist in addition to the basic frequency of a sound are referred to as harmonics. The timbre or quality of the sound is
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. Harish soon gained ___ in English.
Option 1: provincialism
Option 2: proficiency
Option 3: efficiency
Option 4: eminency
Correct Answer: proficiency
Solution : The correct option is the second: proficiency.
Provincialism: A narrow-minded focus on local or regional interests and customs, often to the exclusion of broader perspectives
Proficiency: A high level of skill or expertise in a particular activity or field
Efficiency: The
Question : In the given figure, O is the centre of the circle, $\angle DAB=110^{\circ}$ and $\angle BEC=100^{\circ}$. What is the value (in degrees) of $\angle OCB$?
Option 1: 5
Option 2: 10
Option 3: 15
Option 4: 20
Correct Answer: 10
Solution : Given, $\angle DAB=110^{\circ}$ and $\angle BEC=100^{\circ}$ Since the angle subtended by the chord at the centre is double the angle subtended by the chord at the circumference, reflex$\angle BOC = 2\angle BEC = 200^\circ$ So, $\angle BOC = 360^\circ-200^\circ = 160^\circ$ By angle sum property
Question : Select the most appropriate option to fill in the blank. The chef's culinary creations were infused with a distinctive_____that set them apart from typical restaurant fare.
Option 1: flare
Option 2: fair
Option 3: flere
Option 4: flair
Correct Answer: flair
Solution : The correct choice is the fourth option.
The most suitable word from the given options is flair (noun), which means uniqueness or special quality that helps convey the intended meanings of the sentence.
The meanings of the other options are:
Question : The average number of runs scored by a cricket player in 11 innings is 63, the average of his first six innings is 60, and the average of his last six innings is 65. Find the runs scored by him in the sixth inning.
Option 1: 60
Option 2: 54
Option 3: 67
Option 4: 57
Correct Answer: 57
Solution : Given: The average score of runs in 11 innings is 63. So, the total number of runs = (11 × 63) = 693 The average score of the first 6 innings is 60. So, the total runs in the first 6 innings is 6 ×
Question : Which of the following statement(s) is/are TRUE? I. $\frac{2}{3\sqrt5}<\frac{3}{2\sqrt5}<\frac{5}{4\sqrt3}$ II. $\frac{3}{2\sqrt5}<\frac{2}{3\sqrt3}<\frac{7}{4\sqrt5}$
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: Neither I nor II
Correct Answer: Only I
Solution : Let's simplify the fractions in each statement to see if they are true: I. $\frac{2}{3\sqrt5}<\frac{3}{2\sqrt5}<\frac{5}{4\sqrt3}$ Rationalising each fraction, we get: $\frac{2\sqrt5}{15}<\frac{3\sqrt5}{10}<\frac{5\sqrt3}{12}$ Converting these fractions to decimal form, we get: 0.29 < 0.47 < 0.72, where $\sqrt5$ = 2.236 and $\sqrt3$ = 1.732 So, Statement
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement required'.
Footballers run from one corner of the field to other.
Option 1: through others
Option 2: on the other
Option 3: to another
Option 4: No improvement required
Correct Answer: to another
Solution : The correct choice is the third option.
The reason for this correction is that "other" is not the correct term to use in this context. "Other" implies a comparison or contrast between two or more items, which is not intended in this sentence. Instead,
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