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Question : Directions: If X – Y means that X is the mother of Y, X × Y means that X is the father of Y and X ÷ Y means that X is the sister of Y, then which of the following expressions shows that Q is the son of P?
Option 1: P – Q ÷ R
Option 2: P – Q × R
Option 3: Q – P × R
Option 4: R × Q – P
Correct Answer: P – Q × R
Solution : Given: X – Y means that X is the mother of Y. X × Y means that X is the father of Y. X ÷ Y means that X is the sister of Y.
Now, let's check the options – First
Question : Directions: Select the option in which the words share the same relationship as that shared by the given set of words (in the same order). Track: Train : Driver
Option 1: Road : Bus : Conductor
Option 2: Sea : Ship : Captain
Option 3: Sky: Pilot: Airhostess
Option 4: Field: Athlete: Pole
Correct Answer: Sea : Ship : Captain
Solution : Given: Track: Train : Driver (This depicts the relation between the path on which the mode of transport runs and the person who operates the mode of transport)
Let's check each option – First option: Road : Bus : Conductor; A
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’.
Try to avail of every opportunity that comes your way.
Option 1: avail to
Option 2: avail yourself of
Option 3: No improvement
Option 4: availing of
Correct Answer: avail yourself of
Solution : The correct choice is the second option.
Avail yourself of is the correct idiomatic usage, which means to take advantage of. This helps convey the intended meaning that one should try to take advantage of every situation that comes one's way.
Therefore,
Question : The longest National Highway is NH 44, which runs from Jammu and Kashmir to___________.
Option 1: Telangana
Option 2: Andhra Pradesh
Option 3: Tamil Nadu
Option 4: Karnataka
Correct Answer: Tamil Nadu
Solution : The correct option is Tamil Nadu.
The longest national highway in India, NH 44, connects Kanyakumari in Tamil Nadu with Srinagar in Jammu and Kashmir. It is a vital transportation route in India because it connects the country's southernmost point to its northernmost
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'
Sonali as well as her brother is performing at the show tonight.
Option 1: No improvement required
Option 2: were performing
Option 3: have performance
Option 4: are performing
Correct Answer: No improvement required
Solution : The correct answer is the first option.
Explanation: The sentence is grammatically correct and requires no improvement. When two nouns are connected by "as well as" the verb must agree with the first subject. Hence, the sentence ensures the subject-verb agreement.
Question : The western cyclonic disturbances in India are brought in by the westerly flow from which region?
Option 1: South-American region
Option 2: Mediterranean region
Option 3: Eastern European region
Option 4: South-African region
Correct Answer: Mediterranean region
Solution : The correct option is the Mediterranean region.
The westerly flow from the Mediterranean region brings Western cyclonic disturbances to India. These disturbances are associated with the extra-tropical westerly jet stream extending from the Mediterranean region to the Indian subcontinent. During the winter months,
Question : Who was the chairman of the drafting committee of Indian Constitution?
Option 1: Lord Mountbatten
Option 2: Dr. Rajendra Prasad
Option 3: Dr. B.R. Ambedkar
Option 4: Pandit Jawaharlal Nehru
Correct Answer: Dr. B.R. Ambedkar
Solution : The correct option is Dr. B.R. Ambedkar
The Chairman of the drafting committee of the Indian Constitution was Dr. B. R. Ambedkar. He was a prominent jurist, a social reformer and one of the chief architects of the Indian Constitution. Dr Ambedkar's
Question : Directions: If + means divided by, – means add, × means minus and ÷ means multiplied by, what will be the value of the following expression: [{(21 × 17) – (3 ÷ 2)} + (3 – 2)] ÷ 2
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : Given: + means divided by, – means add, × means minus and ÷ means multiplied by [{(21 × 17) – (3 ÷ 2)} + (3 – 2)] ÷ 2
After interchanging the given mathematical signs, we get – = [{(21 – 17) + (3 ×
Question : Directions: In the following question, select the missing number of the given series. 10, 9, 17, –10, 54, ?
Option 1: –71
Option 2: –82
Option 3: –67
Option 4: –103
Correct Answer: –71
Solution : Given: 10, 9, 17, –10, 54, ?
The pattern is as follows – 10 – (1)3 = 10 – 1 = 9 9 + (2)3 = 9 + 8 = 17 17 – (3)3 = 17 – 27 = –10 –10 +
Question : What is the LCM of $\left(8 x^3+80 x^2+200 x\right)$ and $\left(4 x^4+16 x^3-20 x^2\right)$?
Option 1: $8 x^2(x+5)^2(x-1)$
Option 2: $8 x^2(x-1)^2(x+5)$
Option 3: $4 x^2(x-1)^2(x+5)$
Option 4: $4 x^2(x+5)^2(x-1)$
Correct Answer: $8 x^2(x+5)^2(x-1)$
Solution : Consider, $(8 x^3+80 x^2+200 x)$ Taking $8x$ as common, we get, $=8x(x^2+10x+25)$ $=8x(x^2+5x+5x+25)$ $=8x(x(x+5)+5(x+5))$ $=8x(x+5)^2$ Now consider, $(4 x^4+16 x^3-20 x^2)$ Taking $4x^2$ as common, we get, $=4x^2(x^2 + 4x-5)$ $=4x^2(x^2-x+5x-5)$ $=4x^2(x(x-1)+5(x-1))$ $=4x^2(x-1)(x+5)$ $\therefore$ LCM $=8x^2(x+5)^2(x-1)$ Hence, the correct answer is $8x^2(x+5)^2(x-1)$.
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