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Quantitative Aptitude Prep Tips for MBA

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Quantitative Aptitude Prep Tips for MBA Class 12th

Answer the questions based on the following information.

Mr. John has 5 girls and 9 boys. He decides to give them a present on the occasion of Christmas. He takes 200 one-rupee coins and puts them in 2 bags which he closes. One of the bags contains more coins than the other. He asks his boys to choose one of the bags. They chose the bag with more money. When money is divided equally among boys they are left with Rs. 3. When money is divided equally among girls (not necessarily the same amount as given to boys), Rs. 4 was left. No girl gets less than a boy.

The difference between the final share of a girl and a boy was

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Raj Pandey

Contributor-Level 9

9B + 3 + 5G + 4 = 200 9B + 5G = 193

The positive integer solutions are (B, G) = (2, 35) (7, 25) (12, 17) (17, 8)

Only one of the (B, G) gives G > B and 9B + 3 > 100, i.e. (B, G) = (12, 17)

17 – 12 = 5

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Quantitative Aptitude Prep Tips for MBA Class 12th

The average score of 20 candidates in an exam is 25 marks. It decreases by 2 marks when the score of the topper is excluded. What are the marks obtained by the topper?

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Vishal Baghel

Contributor-Level 10

Average score of 20 candidate = 25 marks

Total score of 20 candidate = 500 marks

Let the score of the topper be x. Then,

$\frac{(500 - x)}{19} = 23$

500 – x = 437

x = 500 – 437 = 63 marks

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New answer posted

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Quantitative Aptitude Prep Tips for MBA Class 12th

Answer the questions based on the following information.

How many coins more did the bag, which the boys got, contain than the oth

...more

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Raj Pandey

Contributor-Level 9

9B + 3 + 5G + 4 = 200 9B + 5G = 193

The positive integer solutions are (B, G) = (2, 35) (7, 25) (12, 17) (17, 8)

Only one of the (B, G) gives G > B and 9B + 3 > 100, i.e. (B, G) = (12, 17)

12 * 9 – 17 * 5 = 23

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Quantitative Aptitude Prep Tips for MBA Class 12th

Let f defined as f (3n) = n + f (3n – 3), where n is a positive integer greater than 1. If f (3n) = 1 when n=1, then find last digit of f (3¹²)

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Payal Gupta

Contributor-Level 10

f (3n) – f (3n– 3) = n

n = 1

f (3) – f (0) = 1

f (0) = 0

n = 2

$\begin{array}{l} f (6) - f (3) = 2 \\ ? ? ? ? \end{array}$

f (3n) – f (3) = 2 + 3 + 4+…………….+ n

f (3n) = 1 + 2 + 3 +…………….+ n

= $n \frac{(n + 1)}{2}$

$?$ f (1312) – f (3 * 311)

$\frac{3^{11}}{2} (3^{11} + 1) = \frac{3^{22} + 3^{11}}{2}$

Hence, remainder $[\frac{\frac{3^{22} + 3^{11}}{2}}{10}]$ = 8

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Quantitative Aptitude Prep Tips for MBA Class 12th

Let 1 – log10₁₀5 = 1/3(log10₁₀1/2 + log10₁₀x + 1/3log10₁₀5) Where x = 2^m/5ⁿ, then what is the value of m + 3n?

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Payal Gupta

Contributor-Level 10

$1 - l o g 1 0_{10} 5 = \frac{1}{3} [l o g 1 0_{10} \frac{x * 5^{1 / 3}}{2}]$

3 [log101010 – log10105] = $l o g 1 0_{10} \frac{x * 5^{1 / 3}}{2}$

log101023 = $l o g 1 0_{10} \frac{x * 5^{1 / 3}}{2}$

23 = $\frac{x * 5^{1 / 3}}{2}$

x = $\frac{2^{4}}{5^{1 / 3}}$

Hence, m + 3n = $4 + 3 * \frac{1}{3}$ = 5

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Quantitative Aptitude Prep Tips for MBA Class 12th

A man borrows Rs.1.2 lakh from a bank at certain rate of simple interest at the beginning of year. After 4 months, he borrows Rs. 1.8 lakh more at double rate of interest. At the end of year, the total interest accrued on both the loans is Rs. 54000. What is the initial rate of interest per annum?

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Payal Gupta

Contributor-Level 10

Let the interest rate be r percent interest earned from 1.2 Lacs at the end of year

= 1,200,000 * r /100

= 1200r

From 1.8 lakh, = 8/12 * 1, 80,000 * 2r/100

= 2400r

Total interest = 3600r = 54000

r = 15 percent

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Quantitative Aptitude Prep Tips for MBA Class 12th

A natural number N < 1000 when divided by 3, 5 and 6 successively leaves remainder 1, 3 and 2. Find the possible numbers of valves N can take.

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Payal Gupta

Contributor-Level 10

Let the quotient obtained when the numbers is divided by 3, 5 and 6 be x₁, x₂ and x₃

Respectively

N = 3 x₁ + 1

x₁ = 5 x₂ + 3

x₂ = 6 x₃ + 2

N = 3 [5 (6 x₃ + 2) + 3] + 1

=90 x₃ + 40 < 1000

x₃ can take 11 values

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Quantitative Aptitude Prep Tips for MBA Class 12th

Two train, A and B start simultaneously towards each other from station V and W respectively, which are 138 km apart. One hour later they cross each other and keep moving with the same speed without stopping. B arrives V later than the time at which A arrives W. Which of the following can be the speed that A can assume?

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Payal Gupta

Contributor-Level 10

Since the two train meet after one hour, their relative speed (sum of their speeds as they are travelling in opposite direction) is 138km/hr. The speed of faster train is asked; we know it has to be greater than 69km/hr. as B takes more time to cover the same distance.

Option (a) is correct.

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Quantitative Aptitude Prep Tips for MBA Class 12th

Let b > c > a be positive real number. What is the minimum integral value of $b + \frac{1}{(b - c) a (c - a)} ?$

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Payal Gupta

Contributor-Level 10

Assuming that

b – c = p b = c + p

c – a = q c = a + q

Hence b = c + p

= a + q + p

$?$ $y + \frac{1}{(b - c) a (c - a)}$ can be written as a + q + p + $\frac{1}{a . p . q}$

Apply AM GM in equally concept in above equation

$\frac{a + q + p \frac{1}{a . p . q}}{4} \geq 4 \sqrt[]{a * p * q * \frac{1}{a . p . q}}$

$\frac{a + q + p \frac{1}{a . p . q}}{4} \geq 1$

$a + q + p \frac{1}{a . p . q} \geq 4$

Hence, minimum value is 4

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Quantitative Aptitude Prep Tips for MBA Class 12th

The cost of 3 apples, 5 bananas and 3 oranges is Rs. 85, while 5 oranges, 4 apples and 4 bananas is Rs. 87. What is the cost of 5 apple, 7 oranges and 3 bananas?

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Payal Gupta

Contributor-Level 10

Let the price of 1 apple, 1 banana and 1 orange is a, b and c respectively.

3a + 5b + 3c = 85 equation 1

4a + 4b + 5c = 87 equation 2

5a + 3b + 7c =?

Multiply equation 1 and 2 by m and n respectively and adding will given the required equation

3m+5n = 7 equation 3

5m+4n = 3 equation 4

3m+4n = 5 equation 5

Equation 4 – equation 5

2m= –2

m= –1 and n = 2

Substituting these values in equation 3 which also satisfy

Equation 1 * (–1) + equation 2 *2

= 5a + 3b + 7c

= 85 (–1) + 87 (2)

5a + 3b + 7c = 89Rs.

Price of 5 apple,

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