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Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, the sum of the squares of the numbers is:
Option 1: 120
Option 2: 126
Option 3: 132
Option 4: 138
Correct Answer: 126
Solution : Let the three positive numbers be $x, y,$ and $z$. The sum of three positive numbers, $x + y + z = 18$--------- (1) The product of the three numbers, $x × y × z = 162$---------------------- (2) Given that the sum of two numbers
Question : One angle of an isosceles obtuse triangle is $28 \frac{1}{2}^{\circ}$. Find the measure of its obtuse angle in degrees.
Option 1: $132^{\circ}$
Option 2: $112^{\circ}$
Option 3: $121^{\circ}$
Option 4: $123^{\circ}$
Correct Answer: $123^{\circ}$
Solution : One of the angles of obtuse-angled isosceles triangle is $\frac{57}{2}^\circ$, the other same angle will be $\frac{57}{2}^\circ$. Let the obtuse angle be $x$. Thus, the sum of angles of a triangle $=180^\circ$ ⇒ $\frac{57}{2}+\frac{57}{2}+x=180^\circ$ ⇒ $\frac{114}{2}+x=180^\circ$ ⇒ $57+x=180^\circ$ ⇒ $x=123^\circ$ So, the measure of its
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four. Anil ___ round the corner.
Option 1: did went
Option 2: went
Option 3: have gone
Option 4: go
Correct Answer: went
Solution : The second option is the correct answer since 'went' which means to go somewhere fits perfectly in the sentence.
The option 'did went' is grammatically incorrect; 'go' doesn't fit in grammatically with the sentence and 'have gone' doesn't fit in contextually with the sentence.
So,
Question : Who said, "Man is a social animal"?
Option 1: Aristotle
Option 2: Jean-Jacques Rousseau
Option 3: Harold Joseph Laski
Option 4: Plato
Correct Answer: Aristotle
Solution : The correct option is Aristotle.
The statement "Man is a social animal" is credited to Aristotle, an ancient Greek philosopher. This statement emphasised the concept that humans are naturally predisposed to live in groups and societies and that social connections and cooperation are important
Question : Directions: In a certain code language, CUT is written as BD21SU. How will DRY be written in that language?
Option 1: C18EXZ
Option 2: CE18XZ
Option 3: CZ18EX
Option 4: CE18ZX
Correct Answer: CE18XZ
Solution : Given: CUT is written as BD21SU.
Subtract and add 1 to the place value of the first and third letter and write the place value of the second letter of CUT, to obtain the required code –
Thus, CUT is coded as BD21SU. Similarly, follow
Question : Select the most appropriate meaning of the given idiom.
At the drop of a hat
Option 1: Instantly
Option 2: Normally
Option 3: Frequently
Option 4: Usually
Correct Answer: Instantly
Solution : The correct choice is the first option.
The idiom at the drop of a hat means to do something immediately or without any delay. It implies that a person is ready to act or respond quickly, often without needing much notice or preparation.
Therefore,
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives. Pumpkins contain high levels of (1) ______. These are molecules that fight harmful free radicals, a (2) ______ of unstable molecule that can sometimes (3) ______ damage to our cells, which may cause ageing and contribute to (4)______ diseases over time. While some antioxidants occur (5) ______ in our bodies, others we get from fruits and vegetables.
Select the most appropriate option to fill in the blank number 3.
Option 1: treats
Option 2: plan
Option 3: fall
Option 4: cause
Correct Answer: cause
Solution : The fourth option is the correct choice.
Cause means to bring about or be the reason for. It appropriately fits the context of describing how unstable molecules (free radicals) can sometimes cause damage to our cells.
The meanings of the other options are as follows:
Question : Directions: A family got split and the children of R were left with R's maternal grandfather's only granddaughter's father. How is the person with whom the children are left related to R?
Option 1: R's son
Option 2: R's paternal grandfather
Option 3: R's maternal grandfather
Option 4: R's father
Correct Answer: R's father
Solution : According to the given information, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, the person with whom R's children are left with is R's father. Hence, the fourth option
Question : Directions: Arrange the following words as per their order in a dictionary. 1. Range 2. Rain 3. Rein 4. Ranger
Option 1: 2, 4, 3, 1
Option 2: 2, 3, 4, 1
Option 3: 2, 1, 3, 4
Option 4: 2, 1, 4, 3
Correct Answer: 2, 1, 4, 3
Solution : Given: 1. Range 2. Rain 3. Rein 4. Ranger
Step 1: Compare the first letter of each word. Since all the words start with the same letter R, then move on to the next letter. Step 2: The second letter of
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 (reason of) her outburst at the party is yet unknown.
(1) reason for
(2) reason to
(3) reason on
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The first option is appropriate because 'reason of' should be replaced with 'reason for' which means 'to express the cause for doing something'.
Other options such as 'reason of' and 'reason on' are also out of context as they are not phrasal verbs
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