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Question : Directions: A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. ?, Lal Bahadur Shastri, Indira Gandhi, Morarji Desai, Chaudhary Charan Singh
Option 1: Jawaharlal Nehru
Option 2: Rajiv Gandhi
Option 3: Manmohan Singh
Option 4: V. P. Singh
Correct Answer: Jawaharlal Nehru
Solution : Given: ?, Lal Bahadur Shastri, Indira Gandhi, Morarji Desai, Chaudhary Charan Singh
We can deduce that the series is a list of Prime Ministers of India in chronological order. Lal Bahadur Shastri served as the second Prime Minister of India. So, to fill the
Question : Let $0^{\circ}<\theta<90^{\circ}$, $\left(1+\cot ^2 \theta\right)\left(1+\tan ^2 \theta\right) × (\sin \theta-\operatorname{cosec} \theta)(\cos \theta-\sec \theta)$ is equal to:
Option 1: $ \sin \theta+\cos \theta$
Option 2: $\sin \theta \cos \theta$
Option 3: $\sec \theta \operatorname{cosec} \theta$
Option 4: $\sec \theta+\operatorname{cosec} \theta$
Correct Answer: $\sec \theta \operatorname{cosec} \theta$
Solution : $\left(1+\cot ^2 \theta\right)\left(1+\tan ^2 \theta\right) × (\sin \theta-\operatorname{cosec} \theta)(\cos \theta-\sec \theta)$ $=\operatorname{cosec}^2\theta×\sec^2\theta(\sin\theta-\frac{1}{\sin\theta})(\cos\theta-\frac{1}{\cos\theta})$ [$\because 1+\cot ^2 \theta=\operatorname{cosec}^2\theta$ and $1+\tan ^2 \theta=\sec^2\theta$] $=\frac{1}{\sin^2\theta}×\frac{1}{\cos^2\theta}(\frac{\sin^2\theta-1}{\sin\theta})(\frac{\cos^2\theta-1}{\cos\theta})$ $=\frac{1}{\sin^2\theta}×\frac{1}{\cos^2\theta}(\frac{-\cos^2\theta}{\sin\theta})(\frac{-\sin^2\theta}{\cos\theta})$ $=\sec \theta \operatorname{cosec} \theta$ Hence, the correct answer is $\sec \theta \operatorname{cosec} \theta$.
Question : The Akaal Takht was built by
Option 1: Guru Ramdas
Option 2: Guru Teg Bahadur
Option 3: Guru Hargobind
Option 4: Guru Nanak
Correct Answer: Guru Hargobind
Solution : The correct option is Guru Hargobind.
Guru Hargobind Sahib, the sixth Sikh Guru, established the Akaal Takht, one of the five Takhts of Sikhism. In Amritsar, Punjab it was built in 1609. For Sikhs, the Akaal Takht is a prominent place of worship and
Question : Directions: What will come in the place of (?) in the following equation, if + and – are interchanged and × and ÷ are interchanged? 109 – 55 × 605 ÷ 77 + 93 = ?
Option 1: 82
Option 2: 23
Option 3: 42
Option 4: 53
Correct Answer: 23
Solution : Given: + and – are interchanged and × and ÷ are interchanged. 109 – 55 × 605 ÷ 77 + 93 = ?
After interchanging the symbols the equation becomes – 109 + 55 ÷ 605 × 77 – 93 = ? = 109 +
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. But, while the court's action solved one problem, it created another and because of the closure, many workers lost their jobs. B. For instance, the courts directed industries in residential areas in Delhi to close down or shift out of the city. C. In recent years, while the courts have come out with strong orders on environmental issues, these have sometimes affected people's livelihoods adversely. D. Several of these industries were polluting the neighbourhood and discharge from these industries was polluting the river Yamuna because they had been set up without following the rules.
Option 1: CBDA
Option 2: BDCA
Option 3: CDAB
Option 4: BCAD
Correct Answer: CBDA
Solution : The correct choice is the first option.
Sentence (C) introduces the theme of recent strong court orders on environmental issues, highlighting their adverse effects on people's livelihoods.
Sentence (B) provides an example of such orders, where industries in residential areas of Delhi were directed to
Question : Directions: Six students, Riya, Mala, Ambika, Kajal, Heena, and Sanya, are sitting around a circular table facing the centre (but not necessarily in the same order). Ambika is sitting third to the right of Heena. Riya is the immediate neighbour of Heena and Kajal. Mala is not an immediate neighbour of Heena. Kajal is to the immediate right of Ambika. Who is sitting second to the right of Riya?
Option 1: Sanya
Option 2: Mala
Option 3: Kajal
Option 4: Heena
Correct Answer: Sanya
Solution : Given: 1. Ambika is sitting third to the right of Heena. Kajal is to the immediate right of Ambika. 2. Riya is the immediate neighbour of Heena and Kajal. Mala is not an immediate neighbour of Heena. So, the final arrangement will be as follows
Question : Who among the following Peshwas signed the Treaty of Bassein with the British East India Company?
Option 1: Baji Rao II
Option 2: Madhav Rao
Option 3: Narayan Rao
Option 4: Balaji Baji Rao
Correct Answer: Baji Rao II
Solution : The correct answer is Baji Rao II.
The Peshwa who signed the Treaty of Bassein with the British East India Company was Baji Rao II on December 31, 1802. Baji Rao II was the Maratha Peshwa of Pune. The treaty was signed
Question : Directions: Which letter cluster will replace the question mark (?) in the following series? SAG, KSY, CKQ, ?
Option 1: UZF
Option 2: RZF
Option 3: UAG
Option 4: UCI
Correct Answer: UCI
Solution : Given: SAG, KSY, CKQ, ?
Subtract 8 from the positional value of each letter – SAG→S – 8 = K; A – 8 = S; G – 8 = Y→KSY KSY→K – 8 = C; S – 8 = K; Y – 8 = Q→CKQ
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
To treat nightmare disorder, there is a number of medications and therapies.
Option 1: there is a number
Option 2: of medications and therapies.
Option 3: No error
Option 4: To treat nightmare disorder,
Correct Answer: there is a number
Solution : The first option is correct.
Explanation: The error in the sentence is the usage of (there is) in relation to a number of medications and therapies. (Is) is used for singular subjects, while (are) is used for plural
Question : Which state was ranked first in the Pradhan Mantri Awas Yojana-Urban (PMAY-U) Awards 2021?
Option 1: Uttar Pradesh
Option 2: Haryana
Option 3: Kerala
Option 4: Tamil Nadu
Correct Answer: Uttar Pradesh
Solution : The correct answer is Uttar Pradesh.
Union Minister of Housing & Urban Affairs, Hardeep Singh Puri, announced that significant progress has been made in the delivery of housing units under the BJP-led Centre's flagship initiative, Pradhan Mantri Awas Yojana—Urban (PMAY-U). During the PMAY-U Awards
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