JIPMAT 2021 Question Paper

In the word "CREATIVE," there are three pairs of letters that have the same number of letters separating them as in the English alphabet: C and E, T and V, as well as A and E.

Let’s identify the alphabetical positions of these letters.

C-3, R-18, E-5, A-1, T-20, I-9, V-22, E-5

Now, let’s examine the following pairs:

i.) C and the first E: There is one letter (R) between C and E in the word, and one letter (D) between C and E in the alphabet.

ii.) T and V: There is one letter (I) separating T and V in the word, while one letter (U) is between T and V in the alphabet.

iii.) A and the first E: There are three letters (T, I, V) between A and E in the word, and there are three letters (B, C, D) separating A and E in the alphabet.

So, in total there are 3 pairs.

There are two digits 7 and 9 which satisfy the condition.

7 is preceded by B and followed by C

9 is preceded by D and followed by Z

These are the only two digits which satisfy the condition.

Other digits-3 and 5 don't satisfy the condition.

So, correct answer is option D.

The ideal order is: Arrival, Introduction, Presentation, Discussion, Recommendation.

Arrival: This is the first step, during which individuals or groups enter the space or commence the meeting.

Introduction: After entering, they generally introduce themselves along with the topic of discussion.

Presentation: The primary content is then shared, highlighting the main points.

Discussion: After the presentation, there is a chance for questions and an exchange of ideas.

Recommendation: Based on the dialogue, suggestions are typically provided.

So, the correct order is C,E,A,D,B.

Let's analyze the statements:

Statement I:

It is given, $$8<a<11$$.

Since a is an integer, possible values of a are 9 and 10.

Statement II:

It is given, $$7<b<10$$

Since b is an integer, possible values of b are 8 and 9.

Now, using statement I alone,

If a=9, then (a+b) can be odd or even depending on b.

If a=10, then (a+b) can be odd or even depending on b.

Therefore, Statement I alone is not sufficient to determine if (a+b) is an odd number.

Now, using statement II alone,

If b=8, then (a+b) can be odd or even depending on a.

If b=9, then (a+b) can be odd or even depending on a.

Therefore, Statement II alone is not sufficient to determine if (a+b) is an odd number.

Using both statement I and II, (a+b) can be odd or even. So, both the statements when used together are not sufficient to answer the question.

Percentage cost in labour cost (D) = $$(100-(49+39.5+11))\%=0.5\%$$

So, total value of labour cost = $$\dfrac{0.5}{100}\times\ 120$$ = Rs. 0.6 lakh

Now, total labour cost increases to Rs. 2.4 lakh

So, required percentage increase = $$\dfrac{2.4-0.6}{0.6}\times\ 100\ \%\ =300\ \%\ $$

Both Conclusion I and Conclusion II do not logically stem from the provided statements. The statements indicate that women cannot vote and that some women hold political positions, but they do not provide any details about the voting rights of men or politicians overall, making it impossible to verify the conclusions.

So, neither conclusion I nor conclusion II follows.

In the word 'SOLUTION', there are three pairs of letters that maintain the same number of letters between them as they do in the English alphabet:(U, T), (L, I), and (O, N). Here’s the detailed analysis: 

i.) U and T: In 'SOLUTION', there is not letter between U and T. Likewise, in the alphabet, there are zero letters between U and T.

ii.) L and I: In 'SOLUTION', there are two letters between L and I. Likewise, in the alphabet, there are two letters between L and I. 

iii.) O and N: In the word 'SOLUTION', there are no letters separating O and N. In the alphabet, there are also no letters between O and N.

So, there are 3 pairs of letters.

The Assertion (A) is correct because a broken electric bulb does produce a "bang" sound, but the Reason (R) is incorrect; the "bang" occurs due to air rushing into the vacuum, not out of the bulb, as electric bulbs are typically either evacuated or filled with inert gases.

Assertion (A): A broken electric bulb produces a 'bang' sound. This statement is accurate. When the glass of an electric bulb shatters, the sudden collapse of the vacuum generates a brief, sharp noise.

Reason (R): The air within the bulb immediately escapes once it breaks. This statement is inaccurate. Electric bulbs are either evacuated (creating a near vacuum) or filled with inert gases, such as argon or nitrogen, to stop the filament from oxidizing. When the bulb shatters, the higher pressure external air rushes in to occupy the void, rather than air escaping from it.

Consequently, the appropriate conclusion is that Assertion (A) is true while Reason (R) is false.

From the first condition: each daughter has the same number of brothers as she has sisters, let us assume the same number to be x.

So, no. of brothers = no. of sons = x

No. of daughters = x+1

Now, from the second condition, each son has twice as many sisters as he has brothers, we can say x+1=2(x-1)

Since each son will have x-1 brothers and x+1 sisters

So, x+1=2x-2

or, 1+2=2x-x

or, x=3

So, number of sons = x = 3

Number of students studying History = 14+16+12+13+20+18+18+13 = 124

Number of students studying Mathematics = 9+14+16+13+15+18+20+13 = 118

Number of students studying Geography = 13+12+9+20+18+16= 88

Number of students studying Science = 18+20+18+15+13+16+19= 119

So, History was taken by the largest number of students.

So, option B is the correct answer.