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Question : What is the value of (22 + 1)(24+1)(28 + 1)(216 + 1) .........(2128 + 1)?
Option 1: $\frac{2^{256}-1}{2}$
Option 2: $\frac{2^{256}-1}{3}$
Option 3: $2^{256}-1$
Option 4: $\frac{2^{256}-1}{4}$
Correct Answer: $\frac{2^{256}-1}{3}$
Solution : $(2^2 + 1) (2^4 + 1) (2^8 + 1) (2^{16} + 1) ........ (2^{128} + 1)$ Divide by $(2^2 - 1)$ in numerator and denominator = $\frac{1}{(2^2 - 1)}[(2^2 - 1)(2^2 + 1) (2^4 + 1) (2^8 + 1) (2^{16} + 1) ........ (2^{128} +
Question : Select the INCORRECTLY spelt word.
Option 1: jumble
Option 2: jovial
Option 3: journy
Option 4: junior
Correct Answer: journy
Solution : The third option is the correct answer.
The incorrectly spelled word is journy.
The correct spelling is a journey, which refers to travelling from one place to another.
The meanings of the other options are as follows:
Question : Calculate the area of a sector of a circle with a radius of 10 metres and an angle of 90 degrees at the centre.
Option 1: 79.3 m2
Option 2: 79.5 m2
Option 3: 78.5 m2
Option 4: 75 m2
Correct Answer: 78.5 m2
Solution : Given $r$ = 10 m and $\theta$ = 90° Area of a sector = $πr^2\times\frac{\theta}{360°}$ ⇒ Area of the sector = $\frac{22}{7}\times 10^2\times \frac{90°}{360°}$ = $\frac{22}{7}\times 100\times \frac{1}{4}$ = 78.57 ≈ 78.5 m2 Hence, the correct answer is 78.5 m2.
Question : If the diagonals of a rhombus are 10 cm and 24 cm, then what is the perimeter of the rhombus?
Option 1: 50 cm
Option 2: 60 cm
Option 3: 56 cm
Option 4: 52 cm
Correct Answer: 52 cm
Solution : In a rhombus, the diagonals bisect each other at right angles. Therefore, we can form a right-angle triangle using half of each diagonal as the sides. Let the half diagonals as $a$ and $b$. $⇒a = \frac{10}{2} = 5 \text{ cm}$ $⇒b = \frac{24}{2}
Question : Study of field crops is called:
Option 1: Pomology
Option 2: Agronomy
Option 3: Olericulture
Option 4: Floriculture
Correct Answer: Agronomy
Solution : The correct option is Agronomy.
The study of field crops is referred to as "agronomy." Agronomy is a discipline of agricultural science concerned with the production and management of crops such as grains, oilseeds, legumes, and forages. Agronomists research soil management, crop selection, planting techniques,
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.
It is ____ that those who expect clemency from others are seldom merciful themselves.
Option 1: paradoxical
Option 2: strange
Option 3: stupid
Option 4: repulsive
Correct Answer: paradoxical
Solution : The first option is the correct choice.
Paradoxical means something that appears contradictory and fits perfectly in the sentence.
The meanings of the other options are:
Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation. Gujarat : Gandhinagar :: Rajasthan : ?
Option 1: Chandigarh
Option 2: Jodhpur
Option 3: Udaipur
Option 4: Jaipur
Correct Answer: Jaipur
Solution : Given: Gujarat : Gandhinagar :: Rajasthan : ?
Like, Gandhinagar is the capital of Gujarat. Similarly, the capital of Rajasthan is Jaipur.
Hence, the fourth option is correct.
Question : In a village election between three candidates, 80% of the voters cast their votes, out of which 3% votes were declared invalid. The winning candidate got 42680 votes which were 55% of the total valid votes. Find the number of valid votes received by the candidate who stood third, given that he received only 10% of the total valid votes.
Option 1: 7760
Option 2: 7700
Option 3: 7670
Option 4: 7680
Correct Answer: 7760
Solution : The winning candidate got 42680 votes, which was 55% of the total valid votes. The total valid votes = $\frac{42680}{0.55}$ = 77600 votes The candidate who stood third received only 10% of the total valid votes. The number of valid votes received by the third
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: KFBY
Option 2: TOKH
Option 3: ZUQO
Option 4: BWSP
Correct Answer: ZUQO
Solution : Let's check the options – First option: KFBY→K – 5 = F; F – 4 = B; B – 3 = Y Second option: TOKH→T – 5 = O; O – 4 = K; K – 3 = H Third option: ZUQO→Z – 5 =
Question : Select the most appropriate phrasal verb to fill in the blank.
The driver very subtly _____ the traffic violation he committed.
Option 1: ironed through
Option 2: ironed in
Option 3: ironed out
Option 4: ironed aside
Correct Answer: ironed out
Solution : The correct phrasal verb is the third option.
Ironed out means to resolve or to find solutions, which is the intended meaning of the sentence; that is, the driver found the solutions very comfortably for the violations he committed.
The other options do not
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