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All questions of 2017 for SSC CGL Exam

Select the related number from the given alternatives.
7.25 : 7.75 :: 9 : ?
  • a)
    9.5
  • b)
    7
  • c)
    10
  • d)
    8.5
Correct answer is option 'A'. Can you explain this answer?

Abhiram Mehra answered
The given pair of numbers, 7.25 and 7.75, are related by a difference of 0.5. To find the related number in the second pair, we need to find a number that is also related by a difference of 0.5.

Solution:

We can find the related number by adding 0.5 to 9, since the difference between 7.25 and 7.75 is 0.5.

Therefore, the related number in the second pair is:

9 + 0.5 = 9.5

Hence, the correct option is (A) 9.5.

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.
The criminal changed his name to an ___________ in order to elude the police.
  • a)
    alternative
  • b)
    alias
  • c)
    option
  • d)
    untrue
Correct answer is option 'B'. Can you explain this answer?

Pranab Goyal answered
Explanation:
The given sentence talks about a criminal who changed his name to escape from the police. The word that fits in the blank and gives a meaning to the sentence is 'alias'.

- Definition of Alias: an assumed name used to conceal one's identity.

Reasoning:

- The word 'alternative' means an option or a choice between two or more possibilities. The sentence talks about changing the name, not choosing between two or more options.
- The word 'option' means a choice or a possibility. It doesn't fit in the given sentence as it doesn't convey the intended meaning.
- The word 'untrue' means something that is false or not correct. It doesn't make sense in the given sentence as it doesn't relate to changing one's name.

Therefore, option 'B' is the correct answer as 'alias' means an assumed name used to conceal one's identity, which fits perfectly in the given sentence.

Conclusion:
The correct answer to the given question is option 'B'.

The force of friction between two surfaces will increase if:
  • a)
    a layer of lubricant is kept between the two surfaces
  • b)
    the two surfaces are pressed harder
  • c)
    air gap is created between the two surfaces
  • d)
    irregularities on both the surfaces are removed
Correct answer is option 'B'. Can you explain this answer?

Arnav Saini answered
The correct answer is option 'B': the force of friction between two surfaces will increase if the two surfaces are pressed harder.

Explanation:
The force of friction is the force that opposes the relative motion or tendency of motion between two surfaces in contact. It is caused by the interaction of microscopic irregularities on the surfaces. Several factors can affect the force of friction between two surfaces, including the normal force, the nature of the surfaces, and the presence of any lubricants or air gaps.

- Normal force: The normal force is the force exerted by a surface that is perpendicular to the surface. It is the force that prevents objects from passing through each other. The force of friction is directly proportional to the normal force. Therefore, if the two surfaces are pressed harder against each other, the normal force increases, and as a result, the force of friction also increases.

- Nature of the surfaces: The force of friction also depends on the nature of the surfaces in contact. If the surfaces have a rough texture or irregularities, the force of friction will be higher compared to smooth surfaces. This is because the irregularities create more points of contact between the surfaces, increasing the frictional force.

- Presence of lubricants: Lubricants are substances that reduce friction between two surfaces. They create a thin layer between the surfaces, minimizing the contact points and allowing smoother relative motion. Therefore, if a layer of lubricant is kept between the two surfaces, the force of friction will decrease.

- Presence of air gap: An air gap between two surfaces reduces the force of friction because air is a fluid and has lower viscosity compared to solids. The presence of air allows for easier relative motion between the surfaces, reducing the frictional force.

In summary, the force of friction between two surfaces will increase if the two surfaces are pressed harder. This is because the normal force, which is directly proportional to the force of friction, increases with greater pressure.

What least number must be added to 329, so that the sum is completely divisible by 7?
  • a)
    1
  • b)
    0
  • c)
    2
  • d)
    3
Correct answer is option 'B'. Can you explain this answer?

Arnav Saini answered
Solution:

To make the sum completely divisible by 7, we need to add the least number to 329, which will make the sum a multiple of 7.

Let's find the remainder when 329 is divided by 7:

329 ÷ 7 = 47 R 0

This means that 329 is already a multiple of 7. Therefore, we do not need to add any number to make it completely divisible by 7.

Hence, the correct answer is option B, i.e., 0.

If a3+b3 = 72 and ab = 8 , then what is the value of a + b?
  • a)
    2
  • b)
    5
  • c)
    6
  • d)
    3
Correct answer is option 'C'. Can you explain this answer?

(a+b)3=a3+b3+3ab(a+b)
(a+b)3 = 72 + 3(8)(a+b)
we need to solve 3rd degree equation
so,without solving, by verification, a+b = 6,
so the answer is option C.

The demand for an inferior good decreases with ________ in the consumer's income.
  • a)
    increase
  • b)
    decrease
  • c)
    constant
  • d)
    double
Correct answer is option 'A'. Can you explain this answer?

Nancy Jain answered
Inferior goods are those goods which are consumed by group of lower income of people,for eg.jowar,bajra ,etc.As their income increases they start buying normal goods.So, there is inverse relation between the income and inferior goods.

A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?
  • a)
    1/3
  • b)
    1/2
  • c)
    1/4
  • d)
    1/5
Correct answer is option 'B'. Can you explain this answer?

Prema Sakhi answered
A's one day work =1/12 B's one day work =1/24 A and B together one day work = (1/12)+(1/24)=3/24=1/8 A and be together completes the work in 8 days A and B together 4 days work = 4*(1/8)=1/2 therefore remaining work = 1(total work )-1/2 ( 4days work)=1/2 answer :-remaining work =1/2

In the following question, out of the four alternatives, select the word similar in meaning to the word given.
Pinnacle
  • a)
    Culmination
  • b)
    Nadir
  • c)
    Nethermost
  • d)
    Basal
Correct answer is option 'A'. Can you explain this answer?

Ishaan Roy answered
Similar Meaning - Pinnacle

Option A: Culmination
Culmination means the highest point of something, the point at which something is at its best.

Option B: Nadir
Nadir means the lowest point of something, the point at which something is at its worst.

Option C: Nethermost
Nethermost means lowest in position or rank, situated in or belonging to the region below the earth's surface.

Option D: Basal
Basal means forming or belonging to a bottom layer or base.

Therefore, the correct answer is option A, Culmination.

The incident ray, the _________ at the point of incidence and the reflected ray all lie in the same plane.
  • a)
    surface
  • b)
    tangent
  • c)
    normal
  • d)
    angle of reflection
Correct answer is option 'C'. Can you explain this answer?

Anjali Kapoor answered
The law of reflection governs the reflection of light-rays off smooth conducting surfaces, such as polished metal or metal-coated glass mirrors.
Consider a light-ray incident on a plane mirror,  The law of reflection states that the incident ray, the reflected ray, and the normal to the surface of the mirror all lie in the same plane. Furthermore, the angle of reflection $r$ is equal to the angle of incidence $i$. Both angles are measured with respect to the normal to the mirror.

The law of reflection also holds for non-plane mirrors, provided that the normal at any point on the mirror is understood to be the outward pointing normal to the local tangent plane of the mirror at that point. For rough surfaces, the law of reflection remains valid. It predicts that rays incident at slightly different points on the surface are reflected in completely different directions, because the normal to a rough surface varies in direction very strongly from point to point on the surface. This type of reflection is called diffuse reflection, and is what enables us to see non-shiny objects.

Bhavin's birthday is on Monday 29th May. On what day of the week will be Rachit's Birthday in the same year if Rachit was born on 17th November?
  • a)
    Saturday
  • b)
    Wednesday
  • c)
    Sunday
  • d)
    Friday
Correct answer is option 'D'. Can you explain this answer?

Vikram Mehta answered
According to the question, 29th May is Monday
Number of days left in May = 31-29=2
Similarly, odd days from 29th May till 17th November = (2+30+31+31+30+31+17)%7
= 2+2+3+3+2+3+3=18
Now, dividing 18 by 7, remainder = 4
Thus, day on 17th November = Monday (+4) = Friday

A man wills 25% of his wealth to charity and rest to his family. What percent of the wealth willed to charity does the family get?
  • a)
    200
  • b)
    33.3
  • c)
    300
  • d)
    25
Correct answer is option 'B'. Can you explain this answer?

To find the percentage of the wealth willed to the family, we first need to determine the percentage of the wealth willed to charity.

Let's assume the man's wealth is represented by the number 100.

The man wills 25% of his wealth to charity. This means that 25% of 100 is given to charity, which is 25.

To find the rest of the wealth that is willed to the family, we subtract the amount willed to charity from the total wealth.

100 - 25 = 75

Now we need to find the percentage of the wealth willed to the family.

To do this, we divide the amount willed to the family by the total wealth and multiply by 100.

(75 / 100) * 100 = 75%

Therefore, the family gets 75% of the wealth willed to charity.

However, the options given in the question are in percentage form, not decimal form. So, we need to convert 75% to the nearest option.

Option B is 33.3%. This is the closest option to 75%.

Therefore, the correct answer is option B) 33.3%.

Which of the following is an Indian military decoration awarded for valour, courageous action or self-sacrifice away from the battlefield?
  • a)
    Ashok Chakra
  • b)
    Dada Saheb Phalke Awards
  • c)
    Arjuna Award
  • d)
    Padma Shri
Correct answer is option 'A'. Can you explain this answer?

Ishaan Roy answered
Indian Military Decoration for Valour - Ashok Chakra

The Ashok Chakra is the highest peacetime military decoration of India. It is awarded to military personnel, as well as civilians, for acts of valour, courageous action or self-sacrifice away from the battlefield. The award was established in 1952, and it is named after the famous emperor Ashoka of the Maurya Dynasty.

Criteria for Awarding Ashok Chakra

The Ashok Chakra is awarded for the most conspicuous bravery or self-sacrifice in the face of the enemy or in the face of conditions of extreme danger. The act of bravery must be such that it is beyond the call of duty and must have involved the risk of life.

Recipients of Ashok Chakra

The Ashok Chakra has been awarded to many brave individuals, including military personnel, police officers, and civilians. Some of the notable recipients of the award include Major Sandeep Unnikrishnan, who was martyred during the 2008 Mumbai attacks, and Havildar Hangpan Dada, who lost his life in a counter-insurgency operation in Jammu and Kashmir.

Conclusion

The Ashok Chakra is a prestigious award that recognizes acts of valour and self-sacrifice away from the battlefield. It is a symbol of the bravery and courage exhibited by the recipients, who put their lives on the line to protect their fellow citizens.

In a qualitative way, the tendency of undisturbed objects to stay at rest or to keep moving with the same velocity is called _________.
  • a)
    force
  • b)
    acceleration
  • c)
    friction
  • d)
    inertia
Correct answer is option 'D'. Can you explain this answer?

Pranab Goyal answered
Explanation:


Inertia is a tendency of an object to resist any change in its state of motion. It is a fundamental property of matter and is related to the mass of an object. Inertia is a qualitative way of describing the tendency of undisturbed objects to stay at rest or to keep moving with the same velocity.

Key points:



- Inertia is a fundamental property of matter.
- It is related to the mass of an object.
- Inertia is a qualitative way of describing the tendency of undisturbed objects to stay at rest or to keep moving with the same velocity.

What is the area (in sq cm) of an equilateral triangle of side 10 cm?
  • a)
    25√3
  • b)
    50√3
  • c)
    75√3
  • d)
    10√3
Correct answer is option 'A'. Can you explain this answer?

Ishaan Roy answered
The area of an equilateral triangle can be found using the formula:

Area = (sqrt(3)/4) * side^2

Given that the side of the equilateral triangle is 10 cm, we can substitute this value into the formula:

Area = (sqrt(3)/4) * 10^2
= (sqrt(3)/4) * 100
= (1.732/4) * 100
= 43.3

Therefore, the area of the equilateral triangle is approximately 43.3 sq cm.

Select the odd number from the given alternatives.
  • a)
    700
  • b)
    250
  • c)
    350
  • d)
    640
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Odd Number in the Given Alternatives

Explanation:
In the given alternatives, we need to find out the odd number. To do so, we need to understand the concept of even and odd numbers.

- Even numbers are those numbers that are completely divisible by 2. For example, 2, 4, 6, 8, 10, etc.
- Odd numbers are those numbers that are not divisible by 2. For example, 1, 3, 5, 7, 9, etc.

Now, let's check each option one by one.

a) 700
700 is an even number as it is completely divisible by 2 (700/2 = 350).

b) 250
250 is an even number as it is completely divisible by 2 (250/2 = 125).

c) 350
350 is an even number as it is completely divisible by 2 (350/2 = 175).

d) 640
640 is an even number as it is completely divisible by 2 (640/2 = 320).

Therefore, the odd number in the given alternatives is option 'D' as it is not divisible by 2.

The average weight of A, B and C is 49 kg. If the average weight of A and B is 35 kg and that of B and C is 62 kg, then the weight of B (in kgs) is?
  • a)
    47
  • b)
    45
  • c)
    43
  • d)
    49
Correct answer is option 'A'. Can you explain this answer?

Arnav Saini answered
**Given:**

The average weight of A, B, and C is 49 kg.

The average weight of A and B is 35 kg.

The average weight of B and C is 62 kg.

**To find:**

The weight of B.

**Solution:**

Let the weight of A be a kg, the weight of B be b kg, and the weight of C be c kg.

According to the given information:

The average weight of A and B is 35 kg, so (a + b)/2 = 35.

The average weight of B and C is 62 kg, so (b + c)/2 = 62.

The average weight of A, B, and C is 49 kg, so (a + b + c)/3 = 49.

**Simplifying the equations:**

From equation 1, we get a + b = 70.

From equation 2, we get b + c = 124.

From equation 3, we get a + b + c = 147.

**Substituting the values of a + b and a + b + c in equation 3:**

70 + c = 147.

c = 147 - 70.

c = 77 kg.

**Now, substituting the value of c in equation 2:**

b + 77 = 124.

b = 124 - 77.

b = 47 kg.

Therefore, the weight of B is 47 kg.

Hence, the correct answer is option A) 47 kg.

Energy in the form of heat is wasted when a machine is operated. This heat is generated due to ___________.
  • a)
    burning
  • b)
    friction
  • c)
    combustion
  • d)
    lubrication
Correct answer is option 'B'. Can you explain this answer?

Sagar Sharma answered
Explanation:
When a machine is operated, energy in the form of heat is generated and wasted. This heat is primarily generated due to friction.

Friction:
Friction is the resistance encountered when two surfaces come into contact and move relative to each other. It is a fundamental force that opposes the motion of objects or substances in contact. Friction occurs at the microscopic level due to the irregularities present on the surfaces of objects.

Generation of Heat:
When two surfaces rub against each other, the friction between them causes the molecules in contact to vibrate and generate heat. This heat is a result of the conversion of mechanical energy into thermal energy.

Wasted Energy:
In any machine or mechanical system, not all the input energy is converted into useful work. Some portion of the input energy is always lost in the form of heat due to friction. This wasted energy reduces the overall efficiency of the machine.

Examples:
1. In a car engine, the friction between the moving parts such as pistons, cylinders, and bearings generates heat. This heat is wasted energy that needs to be dissipated through cooling systems.
2. When a person rubs their hands together, the friction between the palms generates heat. This heat is felt as warmth and is an example of wasted energy.

Therefore, the correct answer to the given question is option B) friction. Friction is the primary cause of heat generation and wastage in machines during operation.

Select the related letters from the given alternatives.
DHL : AEI :: QUY : ?
  • a)
    MQU
  • b)
    NRV
  • c)
    OSW
  • d)
    PTX
Correct answer is option 'B'. Can you explain this answer?

Abhiram Mehra answered
B) NRV is the correct answer.

Explanation:
To solve this question, we need to find the pattern between the letters in the given pairs.

In the first pair, DHL : AEI, we can observe the following pattern:
- The first letter of the first pair, D, is moved three places forward to get the first letter of the second pair, A.
- The second letter of the first pair, H, is moved three places forward to get the second letter of the second pair, E.
- The third letter of the first pair, L, is moved three places forward to get the third letter of the second pair, I.

Applying the same pattern to the letters in the second pair, QUY, we can find the related letters:
- The first letter, Q, when moved three places forward, becomes N.
- The second letter, U, when moved three places forward, becomes R.
- The third letter, Y, when moved three places forward, becomes V.

Therefore, the related letters for the pair QUY are NRV. Thus, option b) NRV is the correct answer.

The method of soil conservation in the coastal and dry regions where rows of trees are planted to check the wind movement to protect soil cover is called?
  • a)
    Mulching
  • b)
    Contour barriers
  • c)
    Rock dam
  • d)
    Shelter belts
Correct answer is option 'D'. Can you explain this answer?

Kiran Mehta answered

d
)
Shelter
belts
S
hel
ter
belts
are
rows
of
trees
planted
to
check
the
wind
movement
and
protect
the
soil
cover
in
the
coastal
and
dry
regions
.
Mul
ching
is
the
practice
of
covering
the
soil
with
organic
material
to
reduce
water
ev
ap
oration
,
while
cont
our
barriers
are
structures
such
as
terr
aces
,
d
ikes
,
and
emb
ank
ments
used
to
reduce
soil
erosion
.
Rock
dams
are
structures
built
in
rivers
or
streams
to
reduce
erosion
.

Goods for which the quantity that a consumer chooses, increases as the consumer's income increases and decreases as the income decreases are called?
  • a)
    Inferior goods
  • b)
    Normal goods
  • c)
    Complementary goods
  • d)
    Substitute goods
Correct answer is option 'B'. Can you explain this answer?

Alekhya Jannu answered
Demand has the direct relationship with consumer's income. It means that the demand of a normal goods increases as income of an consumer increases and demand gets decreased when the income of a consumer decreased. It shows higher elasticity of demand.

Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?
  • a)
    2/7
  • b)
    7/2
  • c)
    4/7
  • d)
    7/4
Correct answer is option 'B'. Can you explain this answer?

Arnav Saini answered
Given, the sum of four times a fraction and 7 times its reciprocal is 16. Let's assume the fraction to be x.

Hence, we can write the equation as:

4x + 7(1/x) = 16

Multiplying both sides by x, we get:

4x^2 + 7 = 16x

Bringing all the terms to one side, we get:

4x^2 - 16x + 7 = 0

Using the quadratic formula, we can solve for x:

x = [16 ± √(16^2 - 4(4)(7))]/(2(4))

x = [16 ± √(176)]/8

x = [16 ± 2√44]/8

x = 2 ± (√11)/2

Since the fraction cannot be negative, we take the positive value of x which is:

x = 2 + (√11)/2

Therefore, the fraction is 7/2 which is option B.

During their rule the British persuaded or forced cultivators in Bengal to grow __________.
  • a)
    Wheat
  • b)
    Tea
  • c)
    Sugarcane
  • d)
    Jute
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
British Rule in Bengal and the Cultivators

During their rule, the British had a significant impact on the economy of Bengal. They introduced a variety of crops, which changed the agricultural landscape of the region. In this context, the question asks about the crop that the British persuaded or forced cultivators in Bengal to grow. The correct answer is option 'D', which is Wheat.

Introduction of Wheat Cultivation

The British started introducing wheat cultivation in Bengal in the early 19th century. The East India Company wanted to reduce the dependence on imported wheat from England, and hence, they encouraged the cultivation of wheat in India. Initially, wheat was grown in small quantities in some parts of Bengal, but its production increased steadily over time.

Forced Cultivation

The British used different methods to increase the production of wheat in Bengal. They provided incentives to the cultivators, such as tax exemptions and subsidies, to encourage them to grow wheat. However, they also used force in some cases. The British officials would confiscate the lands of the cultivators who refused to grow wheat and would give it to those who agreed to grow wheat.

Impact on Cultivators

The introduction of wheat cultivation had a mixed impact on the cultivators in Bengal. On the one hand, it provided a new source of income for them, as wheat was in high demand in the market. On the other hand, the cultivation of wheat required a lot of water and fertilizer, which increased the cost of cultivation. Moreover, the cultivators had to purchase new tools and equipment to grow wheat, which further added to their expenses.

Conclusion

In conclusion, the British introduced wheat cultivation in Bengal during their rule. They used both incentives and force to increase the production of wheat. The cultivation of wheat had a mixed impact on the cultivators, as it provided a new source of income but also increased their expenses.

In March 2017, in which country was "world's largest artificial sun" switched on?
  • a)
    China
  • b)
    USA
  • c)
    Germany
  • d)
    Russia
Correct answer is option 'C'. Can you explain this answer?

Priyanka Shah answered
The correct answer is c) Germany.
In March 2017, the "world's largest artificial sun" was switched on in Germany. The artificial sun, also known as the "Synlight" experiment, was developed by the German Aerospace Center (DLR) in Julich, Germany.

The Synlight experiment uses 149 high-power xenon lamps to simulate the sun's rays and create temperatures of up to 3,500 degrees Celsius (6,332 degrees Fahrenheit). It is used to study the potential of hydrogen as a fuel source and to develop new materials for use in space travel.

What least number must be added to 213, so that the sum is completely divisible by 9?
  • a)
    3
  • b)
    2
  • c)
    1
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?

Abhiram Mehra answered
To find the least number that must be added to 213 so that the sum is completely divisible by 9, we need to first determine the remainder when 213 is divided by 9.

Finding the remainder:
To find the remainder, we divide 213 by 9:
213 ÷ 9 = 23 remainder 6

The remainder is 6, which means that 213 is 6 more than a multiple of 9.

Determining the least number to be added:
To make the sum completely divisible by 9, we need to add the smallest number possible that will bring the remainder to 0.

Since the remainder is 6, we need to add a number that will bring the remainder to 0 when divided by 9. The smallest number that can be added to 6 to make it a multiple of 9 is 3.

Adding 3 to 213:
213 + 3 = 216

Now, let's check if the sum 216 is divisible by 9:

216 ÷ 9 = 24

The sum 216 is completely divisible by 9, with no remainder.

Therefore, the least number that must be added to 213 so that the sum is completely divisible by 9 is 3.

Hence, the correct answer is option A) 3.

Who invented Velcro?
  • a)
    Thomas Edison
  • b)
    William Harvey
  • c)
    George de Mestral
  • d)
    Robert Boyles
Correct answer is option 'C'. Can you explain this answer?

Ishaan Roy answered
Who invented Velcro?

The correct answer is option 'C': George de Mestral.

Explanation:

George de Mestral, a Swiss engineer and inventor, is credited with inventing Velcro. He came up with the idea after observing burrs (small seed-bearing structures) sticking to his clothes and his dog's fur during a hiking trip in the Swiss Alps in 1941.

Development of Velcro:

After his hiking trip, de Mestral examined the burrs under a microscope and discovered that they had tiny hooks that allowed them to cling to fabric and fur. This observation led him to develop a fastening system based on the same principle.

De Mestral spent several years experimenting with different materials and refining his invention. He eventually settled on nylon as the base material for Velcro. Nylon was strong, durable, and had the necessary flexibility to create the hook and loop system.

How Velcro works:

Velcro consists of two components: hooks and loops. The hooks are small, stiff, and typically made of nylon, while the loops are softer and made of nylon as well. When the two components come into contact, the hooks latch onto the loops, creating a secure and temporary fastening.

Patent and Commercialization:

In 1955, de Mestral filed a patent for his invention, which he named Velcro. The word "Velcro" is a combination of the French words "velours" (meaning velvet) and "crochet" (meaning hook). The patent described the hook and loop fastening system and its various applications.

Velcro quickly gained popularity and was used in a wide range of industries, including clothing, footwear, aerospace, and automotive. It revolutionized the way garments and other products were fastened, replacing buttons, zippers, and laces in many cases.

Legacy:

George de Mestral's invention of Velcro has had a lasting impact on numerous industries and everyday life. It has provided a simple and efficient solution for fastening and securing objects. Velcro is now a widely recognized brand and its name is often used generically to refer to any hook and loop fastening system.

In conclusion, George de Mestral, a Swiss engineer, invented Velcro after being inspired by the way burrs stuck to fabric and fur. His development of the hook and loop fastening system revolutionized the way objects are fastened and secured. Velcro has become an integral part of our daily lives and continues to be used in various industries worldwide.

Select the odd letters from the given alternatives.
  • a)
    RQS
  • b)
    XWV
  • c)
    MLN
  • d)
    FEG
Correct answer is option 'B'. Can you explain this answer?

(A) : R (-1 letters) = Q (+2 letters) = S
(B) : X (-1 letters) = W (-1 letters) = V
(C) : M (-1 letters) = L (+2 letters) = N
(D) : F (-1 letters) = R (+2 letters) = G

A can do a work in 15 days and B in 30 days. If they work on it together, then in how many days will they be able to do 50% of the work?
  • a)
    5
  • b)
    6
  • c)
    4
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?

Pranab Goyal answered
Given:
A can complete the work in 15 days.
B can complete the work in 30 days.

Let's assume the total work to be done is 100 units.

A's work rate:
A can complete 100 units of work in 15 days.
So, A's work rate = 100 units / 15 days = 6.67 units/day.

B's work rate:
B can complete 100 units of work in 30 days.
So, B's work rate = 100 units / 30 days = 3.33 units/day.

Working together:
When A and B work together, their combined work rate is the sum of their individual work rates.
Combined work rate = A's work rate + B's work rate = 6.67 units/day + 3.33 units/day = 10 units/day.

To find the number of days required to complete 50% of the work, we can use the formula:
Number of days = Total work / Combined work rate.

Number of days = 50 units / 10 units/day = 5 days.

Hence, the correct answer is option A) 5.

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