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Question : Directions: In the following question, some parts of the sentence may have 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".
Sunita is feeling little uncomfortable today (1) / because she is ill, so she can perform (2) / her work after having some rest for a while. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The determiner "little" should be replaced with "a little" to convey the intended meaning that Sunita is feeling slightly uncomfortable. "Little" means negligible and "a little" means some but greater than "little". So, when we
Question : Directions: If + means −, − means ×, × means ÷ and ÷ means +, what will come in place of ? in the following equation? 42 × 6 − 7 ÷ 13 + 28 = ?
Option 1: 43
Option 2: 27
Option 3: 34
Option 4: 39
Correct Answer: 34
Solution : Given: + means −, − means ×, × means ÷ and ÷ means + 42 × 6 − 7 ÷ 13 + 28 = ?
After interchanging the symbols according to the question, the equation becomes − = 42 ÷ 6 × 7 + 13
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. (The words must be considered meaningful words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Derive : Infer :: Urge : ?
Option 1: Protest
Option 2: Hinder
Option 3: Censure
Option 4: Exhort
Correct Answer: Exhort
Solution : Given: Derive : Infer :: Urge : ?
Here, the second term is the synonym for the first term – Like in, Derive : Infer→Derive is the process of obtaining information or conclusions from something known, and infer is the synonym of the derive. Similarly,
Question : Pandit Ram Narayan, a famous instrumentalist, is known for playing which of the following instruments?
Option 1: Ghatam
Option 2: Veena
Option 3: Sarod
Option 4: Sarangi
Correct Answer: Sarangi
Solution : The correct answer is Sarangi.
Pandit Ram Narayan is an Indian musician who popularised the bowed instrument sarangi as a solo concert instrument in Hindustani classical music. He was born in 1927 in Amber village in Rajasthan. He is credited with elevating the Sarangi's
Question : Directions: Eight boys Anil, Kamal, Ram, Sanjay, Aakash, Vivek, Rahul and Ramu are sitting around a circular table facing opposite the centre (not necessarily in the same order). Ramu is not the immediate neighbour of Aakash or Sanjay. Ramu is to the immediate right of Anil. Rahul is the immediate neighbour of Aakash. Vivek is to the immediate left of Kamal. Ram is the immediate neighbour of both Aakash and Vivek. Who is sitting third to the left of Sanjay?
Option 1: Ram
Option 2: Rahul
Option 3: Vivek
Option 4: Aakash
Correct Answer: Ram
Solution : Given: (I) Vivek is second to the right of Anil. Anil is fourth to the right of Ramu.
(II) Sanjay is third to the right of Ram. Ram is not the immediate neighbour of Vivek or Kamal. Ramu is not the immediate neighbour of Rahul.
Question : Select the option that can be used as a one-word substitute for the given group of words.
One who runs away from the law.
Option 1: Fatalist
Option 2: Convict
Option 3: Fugitive
Option 4: Lunatic
Correct Answer: Fugitive
Solution : The third option is the correct answer.
The term fugitive is the most appropriate, as it specifically refers to a person who is fleeing or evading legal authorities to escape punishment or arrest.
The meanings of the other options are as follows:
Question : Which of the following is equal to $[\frac{\tan \theta+\sec \theta–1}{\tan \theta–\sec \theta+1}]$?
Option 1: $\frac{1+\sin \theta}{\cos \theta}$
Option 2: $\frac{1+\tan \theta}{\cot \theta}$
Option 3: $\frac{1+\cot \theta}{\tan \theta}$
Option 4: $\frac{1+\cos \theta}{\sin \theta}$
Correct Answer: $\frac{1+\sin \theta}{\cos \theta}$
Solution : Given: The given trigonometric expression is $[\frac{\tan \theta+\sec \theta–1}{\tan \theta–\sec \theta+1}]$. Use the trigonometric identity, $\sec^2\theta–\tan^2\theta=1$ ⇒ $[\frac{\tan \theta+\sec \theta–(\sec^2\theta–\tan^2\theta)}{\tan \theta–\sec \theta+1}]=[\frac{(\tan \theta+\sec \theta)(1–\sec\theta+\tan \theta)}{\tan \theta–\sec \theta+1}$ $=\tan \theta+\sec \theta=\frac{1+\sin \theta}{\cos \theta}$ Hence, the correct answer is $\frac{1+\sin \theta}{\cos \theta}$.
Question : Directions: Six people are sitting in a row. A is sitting to the immediate left of B and the immediate right of C. C is sitting to the immediate right of F. If D is to the immediate right of E, who is to the left of F, then which two people are sitting in the centre ?
Option 1: D and B
Option 2: A and B
Option 3: F and C
Option 4: E and D
Correct Answer: F and C
Solution : Given: Assuming that all the people are sitting in a row facing north, the following arrangements can be made as per the given information – (i) A is sitting to the immediate left of B and the immediate right of C.
(ii) C
Question : A mobile phone is sold at a profit of 80%. The nominal profit is approximately what percentage of the selling price of the mobile phone?
Option 1: 33.33%
Option 2: 28.56%
Option 3: 44.44%
Option 4: 36.66%
Correct Answer: 44.44%
Solution : Given, A mobile phone is sold at a profit of 80%. We know, Selling price = $\frac{100+\text{profit percentage}}{100}$ × cost price Let the cost price of the phone be Rs. 100 The selling price at a profit of 80% is Rs. 180 Profit with respect
Question : If $\cos \theta=\frac{\sqrt{3}}{2}$, then $\tan ^2 \theta \cos ^2 \theta=?$
Option 1: $\frac{1}{\sqrt{3}}$
Option 2: $\frac{1}{4}$
Option 3: $\frac{1}{2}$
Option 4: $\sqrt{3}$
Correct Answer: $\frac{1}{4}$
Solution : We have, $\cos \theta = \frac{\sqrt{3}}{2}$ ⇒ $\cos \theta = \cos 30^\circ$ ⇒ $\theta = 30^\circ$ Now, $\tan^2 \theta \cos^2 \theta=\tan^2 30^\circ \cos^2 30^\circ= (\frac{1}{\sqrt3})^2 ×(\frac{\sqrt{3}}{2})^2$ $= \frac{1}{4}$ Hence, the correct answer is $\frac{1}{4}$.
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