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Q:

A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required ?

A) 47	B) 46
C) 37	D) 35

Answer & Explanation Answer: C) 37

Explanation:

The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.
Number of cans of Maaza = 368/16 = 23
Number of cans of Pepsi = 80/16 = 5
Number of cans of Sprite = 144/16 = 9
The total number of cans required = 23 + 5 + 9 = 37 cans.

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Filed Under: HCF and LCM
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Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?

A) 215	B) 268
C) 254	D) 216

Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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Filed Under: Permutations and Combinations
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Q:

K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B ?

A) Rs. 9040	B) Rs. 10,400
C) Rs. 12,800	D) Rs. 6350

Answer & Explanation Answer: C) Rs. 12,800

Explanation:

16x8 : Px4 = 5:2

P = 12.8 => Rs.12,800

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Filed Under: Partnership
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Q:

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

A) Rs. 1100	B) Rs. 1200
C) Rs. 1000	D) Rs. 1840

Answer & Explanation Answer: B) Rs. 1200

Explanation:

P --- 10 ----- 600

P --- 5 ----- 300

3P --- 5 ----- 900
__________
1200

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Filed Under: Simple Interest
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Q:

Nobel Prize is established in ?

A) 1931	B) 1911
C) 1901	D) 1951

Answer & Explanation Answer: C) 1901

Explanation:

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Filed Under: General Science
Exam Prep: CAT , Bank Exams

Q:

Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ?

A) 4 : 5	B) 5 : 4
C) 7 : 6	D) 6 : 7

Answer & Explanation Answer: A) 4 : 5

Explanation:

Let x be the investment of Lasya in 5% and y be in 4%

x(5)(n)/100 = y(4)(n)/100

=> x/y = 4/5

x : y = 4 : 5

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Filed Under: Simple Interest
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Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 30% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes ?

A) 0.85 %	B) 0.95 %
C) 1.0 %	D) 1.3 %

Answer & Explanation Answer: B) 0.95 %

Explanation:

SP of first article = 1000
Profit = 30%
CP = (SP)x[100/(100+P)] = 10000/13

SP of second article = 1000
Loss = 20%
CP = (SP)x[100/(100-L)] = 5000/4 = 1250

Total SP = 2000

Total CP = 10000/13 + 1250 = 2019.23

CP is more than SP, he makes a loss.

Loss = CP-SP = 2019.23 - 2000 = 19.23
Loss Percent = [(19.23)/(2019.23)]x100 = 0.95 %.

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Filed Under: Profit and Loss
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Q:

The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is ?

A) 3 years	B) 4 years
C) 2.5 years	D) 2 years

Answer & Explanation Answer: B) 4 years

Explanation:

$P {(1 + \frac{20}{100})}^{n}$ > 2P

Now, (6/5 x 6/5 x 6/5 x 6/5) > 2.

So, n = 4 years.

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Filed Under: Compound Interest
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
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