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Question : If $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$, then what is the value of $\left(x^4+x^{-4}\right)$?
Option 1: 2542
Option 2: 2650
Option 3: 2452
Option 4: 2302
Correct Answer: 2302
Solution : Given: $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$ Squaring both sides, we get, ⇒ $(x+\frac{1}{x})^2=(5 \sqrt{2})^2$ ⇒ $x^2+\frac{1}{x^2}+2=50$ ⇒ $x^2+\frac{1}{x^2}=48$ Again squaring both sides, we get: ⇒ $(x^2+\frac{1}{x^2})^2=48^2$ ⇒ $x^4+\frac{1}{x^4}+2=2304$ $\therefore x^4+\frac{1}{x^4}=2302$ Hence, the correct answer is 2302.
Question : The Veda which deals with the rituals is known as
Option 1: Rigveda
Option 2: Yajurveda
Option 3: Samaveda
Option 4: Atharvaveda
Correct Answer: Yajurveda
Solution : The correct answer is Yajurveda.
The Yajurveda is a detailed manual on how to carry out religious rites and ceremonies properly. The Yajurveda is the Veda of prose mantras; its name is derived from yajus, which means prose mantra, and veda, which means knowledge.
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. Any sort of unfair conduct is not tolerated in international sports tournaments as it can completely ruin an athlete’s career.
Option 1: straw in the eye
Option 2: hand in the mud
Option 3: foul play
Option 4: red handed
Correct Answer: foul play
Solution : The correct choice is the third option.
Foul play is a term commonly used to describe dishonest or unsportsmanlike behaviour, especially when it comes to breaking the rules of a game or competition. It is well-established in the context of sports ethics, making it
Question : Directions: Select the letter cluster that can replace the question mark (?) in the given letter cluster series. UKS, ZPX, EUC, JZH, ?
Option 1: ODN
Option 2: OEM
Option 3: PEM
Option 4: ODM
Correct Answer: OEM
Solution : Given: UKS, ZPX, EUC, JZH, ?
Add 5 to each letter of the previous term to obtain the next term in the series – UKS→U + 5 = Z; K + 5 = P; S + 5 = X ZPX→Z +
Question : Directions: Select the correct mirror image of the given figure, when the mirror is placed at AB as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : If $\sin A=-\frac{3}{5}, A$ lies in III quadrant, the value of $\sec A$ is:
Option 1: $-\frac{4}{5}$
Option 2: $-\frac{5}{4}$
Option 3: $-\frac{3}{4}$
Option 4: $\frac{3}{4}$
Correct Answer: $-\frac{5}{4}$
Solution : $\sin A=-\frac{3}{5}$ So, $\cos A = \sqrt{1-\sin^2 A}$ ⇒ $\cos A= \sqrt{1-(\frac{3}{5})^2}$ ⇒ $\cos A = \sqrt\frac{16}{25}$ $\therefore\cos A= \pm \frac{4}{5}$ Since it is 3rd quadrant, $\cos A = -\frac{4}{5}$ $\therefore\sec A = -\frac{5}{4}$ Hence, the correct answer is $-\frac{5}{4}$.
Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct. Your parcel should arrived at three days.
Option 1: arrive in three
Option 2: arrive in third
Option 3: No improvement
Option 4: arrive in the third
Correct Answer: arrive in three
Solution : The correct option is the first option.
The verb arrived should be replaced with arrive, and the preposition in is used to indicate a period of time, such as, in three days and it correctly conveys the expected arrival time. The verb arrive
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Solution : In the given figures, as we move from one to another, the number of triangles in each box increases by 1. Therefore, the next box will have 5 triangles. So, the next box in the series will be –
Hence, the second option is correct.
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
The revolt of 1857 happened (during the rein of) bahadur shah zafar.
(1) in the rein off
(2) in the reign of
(3) during the reign of
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Explanation: The correct form should be "during the reign of", where "reign" is the appropriate term to refer to the period of Bahadur Shah Zafar's rule.
So, the correct sentence would be: "The revolt of 1857
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. ELP, HNS, KPV, ?
Option 1: NRY
Option 2: UXZ
Option 3: OXY
Option 4: SVW
Correct Answer: NRY
Solution : Given: ELP, HNS, KPV, ?
Add 3 to the positional value of the first and third letters and add 2 to the positional value of the second letter of the previous term to get the next term in the series. First letter of the series→E
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