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Karim invests Rs. 30000 for one year in a shop. How much his partner Raunaq should invest in order that the profit after one year may be in the ratio 2 : 3?    
  • a)
    Rs. 20000                      
  • b)
    Rs. 40000    
  • c)
    Rs. 45000                      
  • d)
    Rs. 18000
Correct answer is option 'C'. Can you explain this answer?

Uday Banerjee answered
Given that Karim invests Rs. 30000 for one year in a shop and the desired profit ratio after one year is 2 : 3.

Let Raunaq's investment be x.

To find the required investment of Raunaq, we can use the concept of profit sharing ratio which is the ratio in which the partners share the profit.

Profit sharing ratio of Karim and Raunaq = 2 : 3

Let the total profit be P.

Therefore, the profit share of Karim = 2P/5 (since the profit sharing ratio of Karim and Raunaq is 2:3, the total profit is divided into 2+3=5 parts, out of which Karim gets 2 parts)

The profit share of Raunaq = 3P/5 (since the profit sharing ratio of Karim and Raunaq is 2:3, the total profit is divided into 2+3=5 parts, out of which Raunaq gets 3 parts)

Now, as per the question, the total profit should be in the ratio of 2:3.

Therefore,

2P/3P = 2/3

Simplifying, we get P = 30000

Hence, Raunaq's share in the profit = 3P/5 = 3*30000/5 = Rs. 18000

Therefore, Raunaq should invest Rs. 45000 (since the total investment is the sum of Karim and Raunaq investments) in order to get a profit share of Rs. 18000 and to ensure that the total profit is in the ratio of 2:3.

Therefore, the correct answer is option (c) Rs. 45000.

If 2A = 3B and 4B = 5C then A : C is
  • a)
    3 : 4                           
  • b)
    8 : 15
  • c)
    15 : 8                         
  • d)
    4 : 3
Correct answer is option 'C'. Can you explain this answer?

Siddhi Patel answered
Given:

2A = 3B

4B = 5C

To find:

A : C

Solution:

Step 1: Simplify the given equations

We can simplify the given equations by finding the value of B in terms of A and C.

From the first equation, we can write:

B = (2A/3)

From the second equation, we can write:

B = (5C/4)

Step 2: Equate the value of B

Since both the equations are equal to B, we can equate them and find the relationship between A and C.

(2A/3) = (5C/4)

Step 3: Cross-multiply and solve for A : C

Cross-multiplying the above equation, we get:

8A = 15C

Dividing both sides by 15, we get:

A/C = 15/8

Therefore, A : C = 15 : 8

Hence, option (c) is the correct answer.

Three bells toll together at intervals 9, 12, 15 minutes. They start tolling together. At what interval of time will they toll together again
  • a)
    3 hours
  • b)
  • c)
  • d)
    1 hour
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
Three bells toll at intervals - 9min , 12 min and 15min.
So, if they start tolling together, they will ring together at LCM ( 9,12,15)
So, We have to find LCM of 9 , 12 and 15.
9 = 3×3
12 = 2×2×3
15 = 3×5 
LCM (9, 12,15) = 3×3×2×2×5 = 180
So , the LCM of 9 , 12 and 15 is 180. The bells will toll together after 180 minutes or 3 hours.
Bells will toll together after 180 minutes or 3 hours.

A shopkeeper mixed 30 kgs of tea costing Rs. 8 per kg and 10 kg of tea costing Rs. 16 per kg. What is the average price of the mixture per kg?
  • a)
    Rs. 10                                    
  • b)
    Rs. 12
  • c)
    Rs. 14                                    
  • d)
    Rs. 15
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
The shopkeeper mixed 30 kg of tea costing ₹ 8 per kg
Price of 30 kg of tea = 30 kg × ₹ 8 = ₹ 240
The shopkeeper mixed 10 kg of tea costing ₹ 16 per kg.
Price of 10 kg of tea = 10 kg × ₹16= ₹160
Total price of mixture of 40 kg tea = ₹ 240 + ₹ 160 = ₹400
Average price of mixture per kg = total price of mixture / total weight
= ₹ 400 / 40 kg
= ₹ 10 per kilogram
Average price of tea mixture is ₹10 per kilogram

Direction: Select the related word from the given alternatives.
Scissors : Cloth : : ? 
  • a)
    Stone : Grinder
  • b)
    Axe : Wood 
  • c)
    Knife : Stone
  • d)
    Gun : Hunt 
Correct answer is option 'B'. Can you explain this answer?

B is correct because
stone can not be cut through grinder
Knife can not cut stone
gun is related to shooting or killing mostly not hunting. As axe is used to cut wood it is the correct

Direction: Complete the series by choosing the correct option.120, 99, 80, 63, 48,?
  • a)
    35
  • b)
    38
  • c)
    39
  • d)
    40
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
On the basis of the information given in the questions, we find that C and D can take three positions as shown in the diagram following the restriction that C and D cannot be together.   

A reduction of 20% in the price of sugar enables a purchaser to obtain 3 kg more for Rs 120. The original price (per kg) of sugar is
  • a)
    Rs 15
  • b)
    Rs 12
  • c)
    Rs 10
  • d)
    Rs 8
Correct answer is option 'C'. Can you explain this answer?

Let original rate be Rs x per kg. New are = 80% of x=  and original quantity for Rs120=    new quantity =  
⇒  
Rs10 Hence, original rate is Rs 10 per kg.
   

For which of the following can special provisions be made under Article 15 of the Constitution?
1. Women and children
2. Scheduled Tribes
3. Economically backward classes
4. Scheduled Castes
Select the correct answer using the code given below:
  • a)
    1, 2, 3 and 4
  • b)
    1 and 3
  • c)
    2, 3 and 4
  • d)
    1, 2 and 4
Correct answer is option 'A'. Can you explain this answer?

Article 15 of the Constitution of India prohibits discrimination on the grounds of religion, race, caste, sex, or place of birth. It provides for special provisions to be made for the advancement of certain sections of society. The following are the provisions that can be made under Article 15:

Provisions for Women and Children
Women and children have been given special provisions under Article 15(3) of the Constitution. The State can make special provisions for the protection of women and children. This provision enables the state to make laws for the protection of women and children from social, economic, and political exploitation.

Provisions for Scheduled Tribes
Scheduled Tribes have been given special provisions under Article 15(4) of the Constitution. The State can make special provisions for the advancement of Scheduled Tribes. This provision enables the state to make laws for the economic, social, and educational upliftment of Scheduled Tribes.

Provisions for Economically Backward Classes
Economically Backward Classes have been given special provisions under Article 15(5) of the Constitution. The State can make special provisions for the advancement of Economically Backward Classes. This provision enables the state to make laws for the economic and educational upliftment of Economically Backward Classes.

Provisions for Scheduled Castes
Scheduled Castes have been given special provisions under Article 15(4) of the Constitution. The State can make special provisions for the advancement of Scheduled Castes. This provision enables the state to make laws for the economic, social, and educational upliftment of Scheduled Castes.

Conclusion
Thus, it can be concluded that special provisions can be made for women and children, Scheduled Tribes, Economically Backward Classes, and Scheduled Castes under Article 15 of the Constitution. These provisions enable the state to make laws for the upliftment and advancement of these sections of society.

In a gathering of 5 siblings, viz., A, B, C, D and E and 3 friends P, Q and R, there are 2 married couples. Among three brothers and two sisters and friends, at least one brother, one sister and a friend is single. There cannot be a married couple with in the siblings. Both the brothers A and E are single. C and D are married to their boy friend and girl friend respectively, viz., P and R.
Q. 
Who among the following is not single?
  • a)
    D
  • b)
    B
  • c)
    Q
  • d)
    Both (b) and (c)
Correct answer is option 'A'. Can you explain this answer?

Naresh menon answered
Explanation:

Given information:
- 5 siblings: A, B, C, D, E
- 3 friends: P, Q, R
- 2 married couples
- At least one brother, one sister, and a friend are single
- A and E are single
- C is married to P and D is married to R

Analyzing the information:
- A and E are single, so B, C, and D must be married
- C is married to P, and D is married to R, leaving B single
- So, B is the only single sibling
- Among the friends, at least one must be single
- Since B is single, at least one friend among P, Q, and R must be single
- Therefore, Q is not single
Therefore, the correct answer is option A (D).

Read the passage carefully and answer the questions given below it.
Everyone deals with integrity underlying moral issue in their everyday life. Most of our parents would have taught us during our growing up years that we must inculcate this virtue because it is the right thing to do. Question arises-What is integrity? It means honesty - keeping to one's word even if it costs us dearly to do so. If you pledge to 'love, honour and cherish your spouse until death do you part', you must honour that promise. If you agree to do a task, you must do it.
Integrity comes in many forms, but honesty and dependability are two traits that are expected in most workplace situations. Irresponsible behaviour and distrust can make a work environment tense and uncomfortable. A strong work ethic shows co-workers and clients that you're reliable and take your responsibilities seriously. Polite communication, respectable behaviour and fiscal irresponsibility also help you stand out as a trustworthy employee.
Working diligently when you're on the clock is a clear example of workplace integrity. Socializing, surfing the Internet, making personal phone calls, texting and frequent snacking are activities that detract from work time. Saving those activities for break time will show your boss, co-workers and customers that you work hard when you're on the clock. Even if you don't actually clock in and out with a time card, focusing on your work responsibilities while you're at your desk, work station or production area will showcase your strong work habits.
Abiding by company policies is another powerful way to demonstrate integrity. Cutting corners and neglecting to follow workplace regulations can lead to mistakes, problems and even dangerous situations. Your willingness to properly record financial transactions, safely dispense of hazardous or toxic materials, follow company protocol for dealing with clients, perform clean-up or set-up procedures and properly maintain equipment shows others that you're not just looking for the easy way out. Establishing yourself as a trustworthy worker who submits to company policies shows your boss and coworkers that you'll faithfully carry out your duties.
Respecting those you work with reveals your desire to create a healthy work environment. Polite communication, appropriate interactions and respect for co-workers' thoughts and ideas demonstrate your ability to look beyond your own interests to pursue team centred work goals. As you deal with co-workers honestly and respectfully, you establish a level of trust with them. Integrity in the workplace also stems from moral and ethical behaviour. Making sure there's no reason to question your conduct is one of the best ways to prove that you are an honest and dependable employee. Avoid using company products or equipment for personal use and submit exact receipts for travel or meal reimbursements. Don't over-promise what you can't provide and strive to meet deadlines. Work productively and cooperate during company meetings so you don't appear lazy or apathetic, and don't call in sick if you aren't. By exhibiting responsible behaviour, you don't give co-workers or clients the opportunity to question your integrity.
Questions: What is the main advantage of demonstrating integrity at the work place?
  • a)
    It helps build up ethical behaviour            
  • b)
    It increases dependability
  • c)
    It creates a healthy work-environment      
  • d)
    Both B and C
Correct answer is option 'A'. Can you explain this answer?

Notes Wala answered
The correct option is A
The passage talks about integrity. The answer is clear from the following lines ‘ Polite communication, appropriate interactions and respect for coworkers' thoughts and ideas demonstrate your ability to look beyond your own interests to pursue team centred work goals. As you deal with co-workers honestly and respectfully, you establish a level of trust with them. Integrity in the workplace also stems from moral and ethical behaviour. 
 

  • a)
    3
  • b)
    4
  • c)
    1
  • d)
    0
Correct answer is option 'B'. Can you explain this answer?

Anushka Gupta answered
Take a variable x= 

Thus x= √12 + x      
                              (Because it continues infinitely)

Now, solve for x 
Squaring both sides
x^2 = 12 +x
x^2-x-12=0
x^2 -4x + 3x- 12 =0
x (x-4) + 3 (x-4) =0

(x+3)(x-4) =0 
x=4 or -3

Three of the following four are alike in a certain way and so form a group. Which is the one that does not belong to that group?
  • a)
    12
  • b)
    14
  • c)
    18
  • d)
    22
Correct answer is option 'D'. Can you explain this answer?

To determine which number does not belong to the group formed by 12, 14, 18, and 22, we need to find the pattern or relationship between them. Let's analyze each number:

a) 12: This is the only even number in the given options.
b) 14: This is the only even number in the given options.
c) 18: This is the only even number in the given options.
d) 22: This is also an even number, just like the other three options.

From this analysis, we can conclude that all four options are even numbers. Therefore, we need to look for another pattern or relationship between them.

Upon closer examination, we can observe that the numbers 12, 14, and 18 are all multiples of 6. 12 is a multiple of 6 because 6 * 2 = 12, 14 is a multiple of 6 because 6 * 2 = 12, and 18 is a multiple of 6 because 6 * 3 = 18.

On the other hand, 22 is not a multiple of 6. When we divide 22 by 6, we get a remainder of 4. Therefore, 22 does not belong to the group formed by 12, 14, and 18.

Hence, the correct answer is option 'D' (22) because it does not share the same relationship as the other three numbers.

15x + 17y = 21; 17x + 15y = 11. Find  x & y.
  • a)
    -2, 3                                        
  • b)
    3, -4
  • c)
    -4, 5                                         
  • d)
    5, -2
Correct answer is option 'A'. Can you explain this answer?

Given equations 15x + 17y = 21 ...(1) 17x + 15y = 11 ....(2) Multiplying eqn (1) by 17 and eqn (2) by 15 255x + 289y = 357 ...(1) 255x + 225y = 165 ...(2) Subtracting eqn (2) by eqn (1) we get ( by elimination mathod - class 10th) 64y = 192 => y = 3 Putting value of 'y' in eqn (1) 15x + 17y = 21 => 15x + 17(3) = 21 => 15x + 51 = 21 => 15x = 21-51 => 15x = -30 => x = -2 Thus x=-2 y=3 Hence option (a) is correct.

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