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Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (8, 44, 3) (12, 60, 3)
Option 1: (12, 68, 5)
Option 2: (8, 50, 2)
Option 3: (17, 56, 9)
Option 4: (23, 98, 5)
Correct Answer: (12, 68, 5)
Solution : Given: (8, 44, 3); (12, 60, 3)
In the given set of numbers, multiply the sum of the first and third numbers by 4 to get the second number. (8, 44, 3)→8 + 3 = 11; 11 × 4 = 44 (12, 60,
Question : Direction: In the following question, select the one which is different from other three alternatives.
Option 1: 104 : 78
Option 2: 96 : 80
Option 3: 64 : 48
Option 4: 80 : 60
Correct Answer: 96 : 80
Solution : Let's check the options —
First option: 104 : 78; The highest common factor is 26. Dividing both numbers by 26 gives the ratio 4 : 3
Second option: 96 : 80; The highest common factor is 16. Dividing both numbers by 16
Question : The expression $(\tan \theta+\cot \theta)(\sec \theta+\tan \theta)(1-\sin \theta), 0^{\circ}<\theta<90^{\circ}$, is equal to:
Option 1: $\sec \theta$
Option 2: $\operatorname{cosec} \theta$
Option 3: $\cot \theta$
Option 4: $\sin \theta$
Correct Answer: $\operatorname{cosec} \theta$
Solution : Using the trigonometric identities $\tan \theta = \frac{\sin \theta}{\cos \theta}$, $\cot \theta = \frac{\cos \theta}{\sin \theta}$, $\sec \theta = \frac{1}{\cos \theta}$, and $1 - \sin^2 \theta = \cos^2 \theta$. Substituting these identities into the expression, $=(\frac{\sin \theta}{\cos \theta} + \frac{\cos \theta}{\sin \theta})(\frac{1}{\cos \theta} +
Question : In the 15th century, a text called _______ was described popularly by Lochan Kavi.
Option 1: Hriday Prakash
Option 2: Sangeet Darpan
Option 3: Anup Vilas
Option 4: Raga Tarangini
Correct Answer: Raga Tarangini
Solution : The correct option is Raga Tarangini.
Raga Tarangini is a Hindustani classical music manuscript attributed to Lochan Kavi from the 15th century. It is regarded as a crucial work in the development of Hindustani classical music and is one of the oldest known
Question : Directions: Six friends, A, B, C, D, E, and F, are sitting around a circular table facing the centre of the table. A is to the immediate left of E. B is to the immediate right of F. D is second to the left of F. A and C have equal persons between them from both ends. Who is sitting immediately between A and F?
Option 1: D
Option 2: E
Option 3: B
Option 4: C
Correct Answer: B
Solution : Given: (I) Six friends, A, B, C, D, E, and F, are sitting around a circular table facing the centre of the table. (II) A is to the immediate left of E.
(III) B is to the immediate right of F. D is second to
Question : A fruit seller had some watermelons. He sells 45% of the watermelons and still has 495 watermelons left. How many watermelons he originally had?
Option 1: 900
Option 2: 800
Option 3: 400
Option 4: 600
Correct Answer: 900
Solution : Let the original number of watermelons as $x$. According to the problem, the fruit seller sells 45% of the watermelons, which means he still has 55% of the watermelons left. According to the question, $\frac{55x}{100} = 495$ $⇒x = \frac{495×100}{55} = 900$ Hence, the correct
Question : Who was the Mughal emperor during the third battle of Panipat?
Option 1: Akbar II
Option 2: Shah Alam II
Option 3: Bahadur Shah I
Option 4: Bahadur Shah Zafar
Correct Answer: Shah Alam II
Solution : The correct answer is Shah Alam II.
The Marathas and Ahmad Shah Abdali engaged in combat in the Third Battle of Panipat in 1761 CE. Shah Alam II, the sixteenth Mughal Emperor, fought in it while in power. Ali Gauhar was another name
Question : The leaders of the Shanghai Cooperation Organisation (SCO) have endorsed the city of ______ as the first-ever tourist and cultural capital of the grouping for the year 2022-23.
Option 1: Chennai
Option 2: Ujjain
Option 3: Varanasi
Option 4: Ayodhya
Correct Answer: Varanasi
Solution : The correct option is Varanasi.
The leaders of the Shanghai Cooperation Organization (SCO) endorse the city of Varanasi as the first-ever tourist and cultural capital of the grouping for the year 2022-2023. This decision was made during the 21st Shanghai Cooperation Organisation Summit held
Question : Select the correctly spelt word.
Option 1: Waryness
Option 2: Monumental
Option 3: Disenchentment
Option 4: Awakening
Correct Answer: Monumental
Solution : The correctly spelled word is the second option.
Explanation: Monumental is the accurately spelt word, referring to something significant, exceptional, or resembling a monument. It is crucial to pay attention to spelling, as a misspelt word can alter the meaning and affect the overall
Question : Directions: Select the option figure in which the given figure is embedded. (Rotation is not allowed.)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the second option figure.
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