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Question : The following table gives a quantity of various items used by a restaurant during four months of the year (In kg.)
The quantity of E used in March is what percentage of the total quantity of food items used in May?
Option 1: 20%
Option 2: 14%
Option 3: 12.3%
Option 4: 17.8%
Correct Answer: 20%
Solution : The quantity of E used in March = 308 The total quantity of food items used in May = 270 + 390 + 280 + 250 + 350 = 1540 $\therefore$ Required percentage = $\frac{\text{The quantity of E used in March}}{\text{The total quantity of food
Question : Select the INCORRECTLY spelt word.
Option 1: Refusal
Option 2: Wajes
Option 3: Stretch
Option 4: Wearily
Correct Answer: Wajes
Solution : The correct answer is the second option.
The incorrectly spelled word is "wajes". The correct spelling should be "wages", which means the financial compensation that an employer provides to an employee.
The meanings of the other words are as follows:
Refusal: It is a noun
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement required’. This mango tree yields lot of mangoes every year.
Option 1: a lot of
Option 2: No improvement required
Option 3: a lot
Option 4: the lot of
Correct Answer: a lot of
Solution : The correct choice is the first option.
Explanation: "A lot of" is a phrase used to denote a large quantity or number of something. In the sentence "This mango tree yields a lot of mangoes every year", the phrase "a lot of"
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. With up to 50,000 species of spiders, spider habitats vary (1) ______. Spiders are (2) ______ to live anywhere in the world except Antarctica. They (3) ______ not live in bodies of water or in the air, but can adapt (4) ______ almost any type of environment: hot or cool, wet or (5)______, in the garden or in your house.
Question: Select the most appropriate option to fill in the blank number 2.
Option 1: authorised
Option 2: courageous
Option 3: able
Option 4: harboured
Correct Answer: able
Solution : The third option is correct.
Question : Directions: Select the option in which the numbers share the same relationship as that shared by the given pairs of numbers. (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.) (7, 336) (9, 722)
Option 1: (5, 132)
Option 2: (11, 1331)
Option 3: (4, 57)
Option 4: (12, 1735)
Correct Answer: (4, 57)
Solution : Given: (7, 336); (9, 722)
Here, the pattern will be as follows – (7, 336)→73 = 343; 343 – 7 = 336 (9, 722)→93 = 729; 729 – 7 = 722 Let's check each option – First option: (5, 132); 53
Question : If $\frac{22 \sqrt{2}}{4 \sqrt{2}-\sqrt{3+\sqrt{5}}}=a+\sqrt{5} b$, with $a, b>0$, then what is the value of $(a b):(a+b)$?
Option 1: 7 : 8
Option 2: 7 : 4
Option 3: 4 : 7
Option 4: 8 : 7
Correct Answer: 7 : 8
Solution : Given: $\frac{22 \sqrt{2}}{4 \sqrt{2}-\sqrt{3+\sqrt{5}}}=a+\sqrt{5} b$ Multiplying and dividing the number $\sqrt{3+\sqrt5}$ by $\sqrt2$ ⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt2(\sqrt{3+\sqrt{5})}}{2})}=a+\sqrt{5} b$ ⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{6+2\sqrt{5}}}{2})}=a+\sqrt{5} b$ $\because (\sqrt{5}+1)^2=6+2\sqrt5$ ⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{(\sqrt{5}+1)^2}}{2})}=a+\sqrt{5} b$ ⇒ $\frac{22 \sqrt{2}}{4 \sqrt{2}-(\frac{\sqrt{5}+1)}{\sqrt2})}=a+\sqrt{5} b$ ⇒ $\frac{22 \sqrt{2}}{(\frac{4 \sqrt{2}\times\sqrt 2-\sqrt{5}-1)}{\sqrt2})}=a+\sqrt{5} b$ ⇒ $\frac{22
Question : What is the least number that can be multiplied by 69120 to make it a perfect cube?
Option 1: 10
Option 2: 50
Option 3: 25
Option 4: 5
Correct Answer: 25
Solution : Prime factorization of $69120 = 2^9 × 3^3 × 5$ For the number to be a perfect cube, all the exponents must be multiples of 3, thus the above number must be multiplied by $5^2=25$ Hence, the correct answer is 25.
Question : Select the most appropriate word for the given group of words.
A person who has money, especially invested in business
Option 1: Industrialist
Option 2: Minimalist
Option 3: Capitalist
Option 4: Leftist
Correct Answer: Capitalist
Solution : The correct choice is the third option.
Explanation: The term capitalist functions as a noun and specifically denotes an individual who possesses wealth, particularly with investments in businesses. The grammatical structure aligns with the context of describing a person with financial resources engaged in
Question : Directions: Pointing towards a photo of a lady, Bhim said, “She is the only sister of my mother’s son”. How that lady is related to Bhim?
Option 1: Paternal Grandmother
Option 2: Niece
Option 3: Daughter
Option 4: Sister
Correct Answer: Sister
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, the lady is the sister of Bhim. Hence, the fourth option is correct.
Question : If $\sin \theta=\frac{1}{2}$, then the value of $\left(3 \cos \theta-4 \cos ^3 \theta\right)$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: – 1
Correct Answer: 0
Solution : Given, $\sin \theta=\frac{1}{2}$ ⇒ $\theta = 30^\circ$ Now, $\left(3 \cos \theta-4 \cos ^3 \theta\right)=-\cos 3\theta$ ⇒ $\left(3 \cos \theta-4 \cos ^3 \theta\right)=-\cos 90^\circ$ ⇒ $\left(3 \cos \theta-4 \cos ^3 \theta\right)=0$ Hence, the correct answer is 0.
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