Get Answers to all your Questions

Filter By

Clear Filter

All Questions

Three professors Dr. Gupta, Dr. Sharma, Dr. Singh are evaluating answer script of a subject. Dr. Gupta is 40% more efficient than Dr. Sharma, who is 20% more efficient than Dr. Singh. Dr. Gupta takes 10 days less than Dr. Sharma to complete the evaluation work. Dr. Gupta starts the evaluation work and works for 10 days and then Dr. Sharma takes over. Dr. Sharma evaluates for next 15 days and then stops. In how many days, Dr. Singh can complete the remaining evaluation work?
Option: 1
7.2 days

Option: 2
9.5 days

Option: 3
11.5 days

Option: 4
None

Let's solve this step by step

1)let's Dr.Singh's efficiency be x units/days

Then Dr.sharma = 20% more = 1.2x

Dr.Gupta = 40% more than Sharma = 1.4 x 1.2x = 1.68x units/days

2) Dr.Gupta takes 10 days less than Dr.Sharma

Time taken by sharma = S

Then Gupta's time = S- 10 days

Work = Efficiency x Time

So , 1.2x x S = 1.68x x(S-10)

Cancel x :

1.2S = 1.68( S - 10 )

1.2S = 1.68S - 16.8

0.48s = 16.8

S = 35

So , Dr.Sharma takes 35 days

Dr.Gupta takes 25 days

3) find total work : using Dr.Gupta's rate and time :

Work = 1.68x x 25 = 42x units

4) work done by gupta 10 days = 1.68x x 10 = 16.8x

work done by Sharma in 15 days = 1.2x x 15 = 18x

Total work done = 16.8x + 18x = 34.8x

Remaining= 42x - 34.8x = 7.2x

5) Dr.Singh's rate = x

Time = Work /Rate = 7.2x / x = 7.2 days

Answer : Option 1 ( 7.2 days )

View Full Answer(1)

Posted by

Kavya S P

Aditya, Vedus and Yuvraj alone can do a job for 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then, Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work.The job would be completed in:

Option: 1
4 weeks

Option: 2
5 weeks

Option: 3
7 weeks

Option: 4
None

Aditya's 1 week work = 1/6

Vedus's = 1/9

Yuvraj's = 1/12

Step 1 : work done for first 2 weeks

= 2 x (1/6 + 1/9 + 1/12 )

LCM of 6,9,12 = 36

= 2 x (6+4+3)/36 = 2 x 13/36 = 26/36

Remaining work = 1 - 26/36 = 10/36

Step 2 : after 2 weeks aditya leaves .vedus and yuvraj work together

Let total time = x weeks

So vedus , works ( x - 3 ) weeks ( he leaves 1 week before ends )

Yuvraj works full ( x - 2 ) weeks

Work done after Aditya left :

= ( x - 3 ) x 1/9 + (x-2) x 1/12

= (4x - 10 )/36

This must equal to remaining work:

(4x - 10 )/36 = 10/36

4x - 10 = 10

4x = 20

x = 5

Answer : option 2 - 5 weeks

View Full Answer(1)

Posted by

Kavya S P

Crack CUET with india's "Best Teachers"

HD Video Lectures
Unlimited Mock Tests
Faculty Support

In a situation where a country’s government exercises complete control over its territory, makes its laws, and has no foreign authority dicating its internal affairs, what term best describes the status of this country?

Option: 1
Autonomous

Option: 2
Independent

Option: 3
Subjugated

Option: 4
Alliance

A country is known to be independent when it governs itself without any interference from any foreign power.

When it is able to make its own law, control its own territory and can handle internal matters independently. Independent means full sovereignty.

Hence, the correct answer is option 2) Independent

View Full Answer(1)

Posted by

Divya Sharma

In a nation where citizens elect representatives to make decisions on their behalf, and the head of state is not a hereditary monarch but a public official chosen through elections, what form of government does this nation have?

Option: 1
Monarchy

Option: 2
Oligarchy

Option: 3
Democracy

Option: 4
Republic

A republic government is a form of government where the citizens are allowed to elect representatives to make laws and decisions. This means that the head of state is not a hereditary monarch but an elected official. In such a type of government structure, the power lies with the people. This ensures the leadership through public choice rather than royal lineage.

Hence, the correct answer is option 4) Republic

View Full Answer(1)

Posted by

Divya Sharma

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Which term from the Preamble of the Indian Constitution aligns with the idea of promoting economic equality, similar to the situation in “Harmonia”?

Option: 1
Sovereign

Option: 2
Socialist

Option: 3
Secular

Option: 4
Democratic

Socialist in the preamble of the Indian Constitution means the idea of promoting economic equality. This would mean reducing the gap between rich and poor, and making sure a fair distribution of wealth and resources. This is similar to the situation described in Harmonia.

Hence, the correct answer is option 2) Socialist

View Full Answer(1)

Posted by

Divya Sharma

Situation: Imagine you are planning a community event to celebrate the founding principles of the United States. You want to include elements that reflect the Preamble. Which option best aligns with the principles outlined in the Preamble of the U.S. Constitution?

Option: 1
A charity fundraiser to support local schools and education initiatives.

Option: 2
A fireworks display to commemorate the nation’s history and achievements.

Option: 3
A debate competition on current political issues.

Option: 4
A military parade showcasing the strength and capabilities of the armed forces

The Goals of the Preamble of the US constitution are -

Promoting the general welfare

Securing the blessings of liberty

Establishment of justice

Hence, the correct answer is option 1) A charity fundraiser to support local schools and education initiatives.

View Full Answer(1)

Posted by

Divya Sharma

NEET 2024 Most scoring concepts

Just Study 32% of the NEET syllabus and Score up to 100% marks

If $X=\left \{ 4^{n}-3n-1\; :\; n\; \epsilon \; N \right \}\; and\;\; Y= \; \left \{9(n-1):n\; \epsilon \; N \right \},where\; N$ is the set of natural numbers,then

$X\cup Y$ is equal to :

Option: 1
$X\;$

Option: 2
$Y\;$

Option: 3
$N\;$

Option: 4
$Y-X$

Let us 1st simplify set X

$X=(1+3)^n-3n-1$

$X=^nC_0+\;^nC_1\cdot3+\;^nC_2\cdot3^2\ldots \ldots+ \;^nC_n\cdot 3^n-3n-1$ $X=1+\;3n+\;^nC_2\cdot3^2\ldots \ldots+ \; 3^n-3n-1$

$X=3^2\cdot\left (^nC_2+\;^nC_3\cdot3\ldots \ldots+ \; 3^{n-2} \right )$

$X=9\cdot\left (^nC_2+\;^nC_3\cdot3\ldots \ldots+ \; 3^{n-2} \right )$

For n=1; X=0

For n=2; X=9

For n=3; X=54

And

$Y=9\left ( n-1 \right )$

For n=1; Y=0

For n=2; Y=9

For n=3; Y=18

For n=7; Y=54

Hence we can say

$X\cup Y=Y$

View Full Answer(1)

Posted by

Rishi

A massless string connects two pulley of masses ' $2 \mathrm{~kg}$ ' and ' $1 \mathrm{~kg}$ ' respectively as shown in the figure.

The heavier pulley is fixed and free to rotate about its central axis while the other is free to rotate as well as translate. Find the acceleration of the lower pulley if the system was released from the rest. [Given, $g=10 \mathrm{~m} / \mathrm{s}^2$ ]
Option: 1
$\frac{4}{3} \mathrm{~gm} / \mathrm{s}^2$

Option: 2
$\frac{3}{2} \mathrm{~gm} / \mathrm{s}^2$

Option: 3
$\frac{3}{4} \mathrm{~gm} / \mathrm{s}^2$

Option: 4
$\frac{2}{3} \mathrm{~gm} / \mathrm{s}^2$

3/4gm/s2

View Full Answer(3)

Posted by

Guru G

Crack CUET with india's "Best Teachers"

HD Video Lectures
Unlimited Mock Tests
Faculty Support

The following is the biochemical pathway for purple pigment production in flowers of sweet pea:

Colorless precursor 1 —- Allele A—-> Colorless precursor 2 —--- Allele B—---> Purple pigment

Recessive mutation of either gene A or B leads to the formation of white flowers. A cross is made between two parents with the genotype: AaBb × aabb. Considering that the two genes are not linked, the phenotypes of the expected progenies are:

Option: 1
9 purple : 7 white

Option: 2
3 white : 1 purple

Option: 3
1 purple : 1 white

Option: 4
9 purple : 6 light purple : 1 white

3(white):1(purple)

In case of 'duplicate recessive epistasis homozygous recessive gene masks the other gene i.e., aa is epistatic to A or a || bb is epistatic to B or b

View Full Answer(2)

Posted by

Riya

Calculate the acceleration of block $m_1$ of the following diagram. Assume all surfaces are frictionless . Here m₁ = 100kg and m₂ = 50kg

Option: 1
0.33m/s²

Option: 2
0.66m/s²

Option: 3
1m/s²

Option: 4
1.32m/s²

0.66m/s2

View Full Answer(5)

Posted by

Guru G

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Exams

Colleges

Predictors

Resources

Quick links

Quick Links

Exams

Colleges

Resources

Colleges

Resources

Exams

Exams

Colleges

Resources

Diploma Colleges

Other Exams

Exams

Resources

Upcoming Events

Exams

Top Schools

Products & Resources

NCERT Study Material

Top Countries

Resources

Exams

Colleges

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges & Courses

Predictors

Resources

Law Preparation

MBA Preparation

Engineering Preparation

Medical Preparation

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Predictors

Resources

Resources

Exams

Colleges

Predictors & E-Books

Exams

Predictors & Articles

Colleges

Resources

Exams

Colleges

Resources

Top Courses & Careers

Colleges

Exams

Resources

Get Answers to all your Questions

All Questions

Posted by

Kavya S P

Posted by

Kavya S P

Crack CUET with india's "Best Teachers"

Posted by

Divya Sharma

Posted by

Divya Sharma

JEE Main high-scoring chapters and topics

Which term from the Preamble of the Indian Constitution aligns with the idea of promoting economic equality, similar to the situation in “Harmonia”? Option: 1 Sovereign Option: 2 Socialist Option: 3 Secular Option: 4 Democratic

Posted by

Divya Sharma

Posted by

Divya Sharma

Which term from the Preamble of the Indian Constitution aligns with the idea of promoting economic equality, similar to the situation in “Harmonia”?

Option: 1
Sovereign

Option: 2
Socialist

Option: 3
Secular

Option: 4
Democratic

If $X=\left \{ 4^{n}-3n-1\; :\; n\; \epsilon \; N \right \}\; and\;\; Y= \; \left \{9(n-1):n\; \epsilon \; N \right \},where\; N$ is the set of natural numbers,then

$X\cup Y$ is equal to :

Option: 1
$X\;$

Option: 2
$Y\;$

Option: 3
$N\;$

Option: 4
$Y-X$

Calculate the acceleration of block $m_1$ of the following diagram. Assume all surfaces are frictionless . Here m₁ = 100kg and m₂ = 50kg

Option: 1
0.33m/s²

Option: 2
0.66m/s²

Option: 3
1m/s²

Option: 4
1.32m/s²