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IBM Quants Questions

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Quiz Begins Here

Q #1
:

Quants Question

Directions: Read the following information to answer the question.

Sharma, Verma and Patel enter into a partnership and their shares are in the ratio 1/2 : 1/3 : 1/4. After 2 months, Sharma withdraws half of his capital and after 10 months, a profit of Rs. 378 is divided among them. What is Verma's share?
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so , the ratio of partnership is 6:4:3 by taking the lcm of the three ratios. so the captial invested for Sharma , Verma & Patel are 6X , 4X & 3X The ratio of the profits will be in ration = (6x)2 + 3x(8) : (4x)10 : (3x)10 = 36 : 40 : 30 =18:20:15 So the profits are 18y,20y,15y The verma's share is 20 x 378/53 = 143

Q #2
:

Quants Question

Directions: Read the following information to answer the question.

Salaries of Jack and Jenny are in the ratio 2: 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40: 57. What is Jennys salary?
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Let the original salaries of Jack and Jenny’s be Rs. 2x and Rs. 3x respectively.

Then, (2x + 4000)/(3x + 4000) = 40/57

57(2x + 4000) = 40(3x + 4000)

 6x = 68,000

 3x = 34,000

Jenny's present salary = (3x + 4000) = Rs. (34000 + 4000) = Rs. 38,000.


Q #3
:

Quants Question

Directions: Read the following information to answer the question.

By mixing two qualities of pulses in the ratio 2: 3 and selling the mixture at the rate of Rs 22 per kilogram, a shopkeeper makes a profit of 10 %. If the cost of the smaller quantity be Rs 14 per kg, the cost per kg of the larger quantity is:
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Cost Price of 5 kg = Rs.(14*2 + x*3) = (28 + 3x). 

Sell price of 5 kg = Rs. (22x5) = Rs. 110. 

(110 - (28 + 3x)/(28 + 3x)) * 100 = 82-3x/28 + 3x = 1 / 10 

820 - 30x = 28 +3x ; 33x = 792 ; x = 24


Q #4
:

Quants Question

Directions: Read the following information to answer the question.

Which one the equations best describes the data provided?

T

-2

-1

0

2

3

V

2.5

1

- 0.5

- 3.5

-5


+

Substitute values for T & V in each equation and check

Q #5
:

Quants Question

Directions: Read the following information to answer the question.

If F(n) = {x/x is a prime factor of n}; answer the following questions. F(110)?F(165)
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F (110) = {2, 5, 11}

    F (165) = {3, 5, 11}

    F (110) F(165) = {5, 11)   

    Note : 1 is neither prime nor composite