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Question : If $(p-q)=6,(r-q)=5$ and $(r-p)=3$, then find the value of $\frac{p^3+q^3+r^3-3 p q r}{p+q+r}$.
Option 1: 35
Option 2: 45
Option 3: 30
Option 4: 40
Correct Answer: 35
Solution : Given, $(p - q) = 6,$ $(r - q) = 5$ and $(r - p) = 3$ We know, $p^3 + q^3 + r^3 - 3pqr = (p + q + r)(p^2 + q^2+ r^2 - pq - pr - qr)$ $⇒\frac{p^3+q^3+r^3-3 p q r}{p+q+r}
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.
The company decided to sell their stake in their subsidiary, because it was under massive debts.
Option 1: sell their stake in its subsidiary
Option 2: No substitution
Option 3: sell its stake in their subsidiary
Option 4: sell its stake in its subsidiary
Correct Answer: sell its stake in its subsidiary
Solution : The correct choice is the fourth option.
The correct possessive pronoun should be used in accordance with the singularity or plurality of the subject. This change maintains consistency in possessive pronouns by using its to refer to the company and
Question : The Central Government has launched the YUVA 2.0 Scheme 2022. It is a mentoring programme for young and budding authors below the age of ________.
Option 1: 45
Option 2: 40
Option 3: 35
Option 4: 30
Correct Answer: 30
Solution : The correct answer is 30.
The Central Government introduced the YUVA 2.0 programme. To foster reading, writing, and book culture in the nation and to project Indian and Indian writing internationally, it is a mentoring initiative for aspiring young authors under the age of
Question : Directions: Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing 1.
Option 1: 6
Option 2: 4
Option 3: 5
Option 4: 3
Correct Answer: 6
Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
Therefore, the opposite
Question : What is the sum of all natural numbers between 1 and 100 which are multiples of 7?
Option 1: $735$
Option 2: $675$
Option 3: $745$
Option 4: $705$
Correct Answer: $735$
Solution : The numbers between 1 and 100 which are divisible by 7 are (7,14,21..........98) Equation for the number of terms: $T_n = a + (n–1)d$ Where $a$ = 1st term $n$ = number of terms $d$ = difference Putting the values we get, $98 =
Question : ‘Rongali Bihu’, one of the major festivals of Assam, is celebrated in the month of :
Option 1: May
Option 2: January
Option 3: August
Option 4: April
Correct Answer: April
Solution : The correct option is April.
'Rongali Bihu,' also known as Bohag Bihu, is one of the major festivals of Assam, India. It is celebrated in April, marking the Assamese New Year and the arrival of spring. The festival usually falls on or around April 14th
Question : The following bar chart shows the number of students playing various games on a given day. Study the bar chart carefully and answer the question that follows. The average number of students playing rugby, hockey, badminton, and squash is what percentage of the average number of students playing tennis and football?
Option 1: 60%
Option 2: 30%
Option 3: 50%
Option 4: 45%
Correct Answer: 60%
Solution : The number of students playing rugby = 30 The number of students playing hockey = 60 The number of students playing badminton = 20 The number of students playing squash = 10 The average number of students playing rugby, hockey, badminton, and squash = $\frac{30+60+20+10}{4}=30$
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (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.) (24, 3, 10); (144, 9, 18)
Option 1: (54, 9, 4)
Option 2: (156, 8, 19)
Option 3: (72, 8, 9)
Option 4: (133, 7, 21)
Correct Answer: (133, 7, 21)
Solution : Given: (24, 3, 10); (144, 9, 18)
In the given sets, divide the first number by the second number and then add 2 to it to get the third number. (24, 3, 10)→(24 ÷ 3) + 2 = 8 + 2 = 10
Question : Directions: In the following question, a sentence is given with blanks that are to be filled in with appropriate words. Four alternatives are suggested; choose the correct alternative out of them as your answer.
I have no ____________office work.
Option 1: Experience to
Option 2: Experience in
Option 3: Experience on
Option 4: Experience of
Correct Answer: Experience of
Solution : The fourth option is correct because "experience of" is a common phrase that shows if someone has ever done or been a part of something, i.e., in a particular field or activity.
Experience with: "With" is used after "experience"
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 19 : 324 :: 25 : 576 :: 9 : ?
Option 1: 16
Option 2: 64
Option 3: 88
Option 4: 72
Correct Answer: 64
Solution : Given: 19 : 324 :: 25 : 576 :: 9 : ?
In the given number pairs, subtract 1 from the first number and then find the square of the resultant, to get the second number. Like, 19 : 324→(19 – 1)2 = (18)
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