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In a school when a survey is conducted on liking of subjects out of three subjects physics, chemistry mathematics then outcome is as follow.

Total number of students who like physics, chemistry and mathematics is 30, 40, 50 respectively. 10 students shown interest in all three subjects, Number of students who like physics and mathematics both is equal to number of students who like chemistry and mathematics both and is equal to 3/4 times number of students who like physics and chemistry both 15 students like only chemistry.

When class teacher saw

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Can I join Quantum University without entrance exam?

Contributor-Level 10

From the given condition g = 10,

Number of students who like both Physics and Maths = 10 + f

Number of students who like both chemistry and Maths = 10 + e

From given condition 10 + f = 10 + e or e = f

Similarly from 3^rd condition ¾ (10 + e) = 10 + d

Or 30 + 3e = 40 + 4d

d = 3e - 10/4

Since 15 students like only chemistry hence b = 15

Number of students who like only chemistry is 40

Hence e + g + d + b = 40

or e + 10 + (3e – 10)/4 + 15 = 40

or (7e – 10)/4 = 15 or 7e = 70 or e = 10

Hence a = 5, c = 20, f = e = 10, d = 5

Hence the distribution is as follows

As per the observation of class teacher actual numbers of students who lik

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8 months ago

Quantum University Exam

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Ritika YAdav

Beginner-Level 5

YES, Most of the students join without entrance exam here even I also join without entrance exam but I secured 90% marks in my 12th standard, which made me eligible for a merit-based scholarship. Because of my high score, I didn't need to take the entrance exam for the scholarship. However, if any student appears for the entrance exam, they can also avail a scholarship — it totally depends on their preference.

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Are R V Teachers Training Institution admissions open for 2025?

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Sejal Baveja

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Yes, R V Teachers Training Institution admissions are open for 2025. The institute offers D.El.Ed course to candidates. Students must esnure fulfilling the eligibility criteria before applying for admission in the course. Application forms for the same are available online on the official website of the institute.

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8 months ago

Maths NCERT Exemplar Solutions Class 12th Chapter Seven Three Dimensional Geometry

Let P be a plane passing through the points (1,0,1) (1,-2,1) and (0,1,-2). Let a vector $\vec{a} = α \hat{i} + β \hat{j} + γ \hat{k}$ be such $\vec{a}$ that is the parallel to the plane P, perpendicular to $(\hat{i} + 2 \hat{j} + 3 \hat{k}) a n d \vec{a} . (\hat{i} + \hat{j} + 2 \hat{k}) = 2,$ then ${(α - β + γ)}^{2}$ equals………

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Raj Pandey

Contributor-Level 9

For the plane P,

$\vec{n} = \frac{1}{2} (- 2 \hat{j}) \times (- \hat{i} + \hat{j} - 3 \hat{k}) = \hat{j} \times \hat{i} + 3 \hat{j} \times \hat{k} = - \hat{k} + 3 \hat{i}$

$\vec{a} . \vec{n} = 0 \Rightarrow 3 α - γ = 0 . . . . . . . (i)$

$\vec{a} . (1, 2, 3) = 0 \Rightarrow α + 2 β + 3 γ = 0 . . . . . . . . . . (i i)$

$\vec{a} . (1, 1, 2) = 2 \Rightarrow α + β + 2 γ = 2 . . . . . . . . . . . (i i i)$

(i), (ii) & (iii) Þ a = 1, β = -5, $γ =$ 3

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8 months ago

Eight girls – ATHENA, BRISEIS, CALANDRA, DEMETER, ELLIE, FEO, GAIA, and HELEN are sitting in a row facing North. We know the following information about them.

I. The number of girls to the left of ATHENA is equal to the number of girls to the right of GAIA.

II. CALANDRA is sitting three places away to the left of ELLIE.

III. The number of girls sitting between FEO and DEMETER is two.

IV. If BRISEIS and HELEN interchange their positions, then HELEN is fifth to the right of BRISEIS.

V. CALANDRA is sitting at the extreme left end of the row.

VI. GAIA is sitting exactly between BRISEIS and DEMETER.

Who is sitting extreme r

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Contributor-Level 10

According to the information provided in the statement following arrangement will be obtained:

C	H	A	E	D	G	B	F
1	2	3	4	5	6	7	8

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8 months ago

Eight girls – ATHENA, BRISEIS, CALANDRA, DEMETER, ELLIE, FEO, GAIA, and HELEN are sitting in a row facing North. We know the following information about them.

I. The number of girls to the left of ATHENA is equal to the number of girls to the right of GAIA.

II. CALANDRA is sitting three places away to the left of ELLIE.

III. The number of girls sitting between FEO and DEMETER is two.

IV. If BRISEIS and HELEN interchange their positions, then HELEN is fifth to the right of BRISEIS.

V. CALANDRA is sitting at the extreme left end of the row.

VI. GAIA is sitting exactly between BRISEIS and DEMETER.

Who is sitting extreme r

Maths NCERT Exemplar Solutions Class 12th Chapter Seven Three Dimensional Geometry

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8 months ago

The number of rational terms in the binomial expansion of ${(4^{\frac{1}{4}} + 5^{\frac{1}{6}})}^{120}$ is…….

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Raj Pandey

Contributor-Level 9

$T_{r + 1} =^{120} C_{r} 4^{\frac{120 - r}{4}} . 5^{r / 6}$

For to be rational

r should be multiple of 6

Number of such terms = 21

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8 months ago

Eight girls – ATHENA, BRISEIS, CALANDRA, DEMETER, ELLIE, FEO, GAIA, and HELEN are sitting in a row facing North. We know the following information about them.

I. The number of girls to the left of ATHENA is equal to the number of girls to the right of GAIA.

II. CALANDRA is sitting three places away to the left of ELLIE.

III. The number of girls sitting between FEO and DEMETER is two.

IV. If BRISEIS and HELEN interchange their positions, then HELEN is fifth to the right of BRISEIS.

V. CALANDRA is sitting at the extreme left end of the row.

VI. GAIA is sitting exactly between BRISEIS and DEMETER.

How many girls are sitti

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Maths NCERT Exemplar Solutions Class 12th Chapter Seven Permutations and Combinations

Contributor-Level 10

According to the information provided in the statement following arrangement will be obtained:

C	H	A	E	D	G	B	F
1	2	3	4	5	6	7	8

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There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsmen and 2 are wicketkeepers. The number of ways, a team of 11 players be selected from them so as to include at least 4 bowlers, 5 batsmen and 1 wicketkeeper, is………….

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Raj Pandey

Contributor-Level 9

Bowlers Batsmen Wicket Keepers

(6) (7) (2)

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Eight girls – ATHENA, BRISEIS, CALANDRA, DEMETER, ELLIE, FEO, GAIA, and HELEN are sitting in a row facing North. We know the following information about them.

I. The number of girls to the left of ATHENA is equal to the number of girls to the right of GAIA.

II. CALANDRA is sitting three places away to the left of ELLIE.

III. The number of girls sitting between FEO and DEMETER is two.

IV. If BRISEIS and HELEN interchange their positions, then HELEN is fifth to the right of BRISEIS.

V. CALANDRA is sitting at the extreme left end of the row.

VI. GAIA is sitting exactly between BRISEIS and DEMETER.

Who is the third from th

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Contributor-Level 10

According to the information provided in the statement following arrangement will be obtained:

C	H	A	E	D	G	B	F
1	2	3	4	5	6	7	8

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Yes, Sir J.J. College of Architecture admission is open. Check the application step below:

1: Go to the official website.

2: Navigate to the application PDF and download it.

3: Fill out the details in the form as per your official documents.

4: Submit the application form to the admission office.

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8 months ago

Directions for questions: Read the information carefully and answer the questions given below.

Eight girls – ATHENA, BRISEIS, CALANDRA, DEMETER, ELLIE, FEO, GAIA, and HELEN are sitting in a row facing North. We know the following information about them.

I. The number of girls to the left of ATHENA is equal to the number of girls to the right of GAIA.

II. CALANDRA is sitting three places away to the left of ELLIE.

III. The number of girls sitting between FEO and DEMETER is two.

IV. If BRISEIS and HELEN interchange their positions, then HELEN is fifth to the right of BRISEIS.

V. CALANDRA is sitting at the extreme left en

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Contributor-Level 10

According to the information provided in the statement following arrangement will be obtained:

C	H	A	E	D	G	B	F
1	2	3	4	5	6	7	8

0 0

New Question

8 months ago

Is Sir J.J College of Architecture a good college?

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Nishtha Singh

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Sir JJ College of Architecture is ranked 1st by The Week 2025 for B.Arch. JJ College of Architecture is affiliated with the University of Mumbai. J College of Architecture also provides postgraduate courses to students, such as Metropolitan Architecture and Architecture Education. The placement support provided by the college is also good. Hence, it is a good college.

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Anvi Sharma

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Quantum University Roorkee offers merit based scholarships to B.Tech students enrolled in all UG courses. Your percentage in class 12 examinations will determine the amount of tuition fee waived off from the total amount. If you have scored 90% or more. You will be availing 100% scholarship in tution fee for B.Tech programs. B.Tech CS programme provides wide range of management education and Quantum University offers Interdisciplinary programs in which one can study some other subjects as well like foreign language, computer science, culinary skills, environmental studies, journalism and many more while pursuing UG courses. The f

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Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I. Umang collected the same number of gold as Viren and Xavier put together.

II. Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

IV. The number of gold collected by Viren was the square of an integer.

V. The number of g

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Contributor-Level 10

U – Umang

V – Viren

X – Xavier

F – Falak

G – Eagan

We have

U + V + X + F + G = 100

And each one of U, V, W, X, F, G? 10

U = V + X and 3Y = 4Z

Now, U, V, X, F, G? 10

Also, U = V + X

X = Cube + 3

V, U = Square

and F : G = 4 : 3

This is possible only when

U = 36, V = 25, X = 11, G = 12, F = 16

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8 months ago

Is Sir J.J College of Architecture located in a safe and accessible area?

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Vikrant Shekhar

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Yes, the college is in a safe and accessible area. A leading institute in the city with degree courses in the field of Architecture. JJ College of Architecture is a premier institute for B.Arch courses. The programme is offered in full-time mode.

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In order to make a choice between BTech courses offered by UAS Bangalore and University of Agricultural Sciences Dharwad, students can compare the options based on significant factors such as fees and Shiksha rating. To help, presented below is a comparison between the BTech courses at UAS Bangalore and University of Agricultural Sciences Dharwad based on fees and ratings:

BTech Offering University	Course Fees	Shiksha Rating
UAS Bangalore	INR 1.1 lakh	3.8/5
University of Agricultural Sciences Dharwad	-	5.0/5

Note: The abovementioned information is as per official sources. However, it is subject to change. Hence, it is indicative.

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Shailja Rawat

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Both UAS Bangalore and Srinivas University are good options to pursue a BTech. However, in terms of affordability, UAS Bangalore is more affordable since the tuition fee to pursue a BTech at UAS Bangalore is INR 1.1 lakh, and the tuition fee to pursue a BTech at Srinivas University is INR 6.29 lakh.

Note: The fee mentioned above is as per the official sources. However, it is indicative and subject to change.

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Five friends – Umang, Viren, Xavier, Falak and Gagan collected gold on the sea shore. They collected a total of 100 gold.

None of them collected less than 10 gold each. No two among them collected the same number of gold. Following information is given regarding the number of gold with each one of them:

I. Umang collected the same number of gold as Viren and Xavier put together.

II. Xavier collected 3 more gold than the cube of an integer.

III. The number of gold collected by Umang was the square of an integer.

IV. The number of gold collected by Viren was the square of an integer.

V. The number of g

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