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Q:

If a+b+c = 21, what is the total number of non - negative integral solutions?

A) 123	B) 253
C) 321	D) 231

Answer & Explanation Answer: B) 253

Explanation:

Number of non - negative integral solutions = $n + r - 1 C_{r - 1} = {}^{23}C_{2}$ = 253

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Filed Under: Permutations and Combinations
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Q:

Rahul went to purchase a Nokia mobile handset, the shopkeeper told him to pay 20% tax if he asked the bill. Rahul manages to get the discount of 5% on the actual saleprice of the mobile and he paid the shopkeeper Rs. 3325 without tax. Besides he manages to avoid to pay 20% tax on the already discounted price, what is the amount of discount that he has gotten?

A) 750	B) 375
C) 875	D) 525

Answer & Explanation Answer: C) 875

Explanation:

CP = 100, SP (with tax) =120

New SP = 100 - 5 = 95

Effective discount = 120 - 95 = 25

So, at SP of 95 ----> discount = 25

and at SP of 3325 -----> discount = $\frac{25}{95} \times 3325 = 875$

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Filed Under: Profit and Loss
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Q:

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?

A) 1%	B) 2%
C) 4%	D) 0%

Answer & Explanation Answer: C) 4%

Explanation:

loss % = ${(\frac{c o m m o n g a i n o r l o s s}{10})}^{2}$ %

= (20/10)x(20/10)% = 4%

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Filed Under: Profit and Loss
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Q:

A Shepherd had n goats in the year 2000. In 2001 the no.of goats increased by 40% . In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew by 30%. In 2004, he sold 10% goats, then he had only 34,398 goats. The percentage increase of the no.of goats in this duration was:

A) 14.66%	B) 16.66%
C) 20%	D) 33.33%

Answer & Explanation Answer: A) 14.66%

Explanation:

There is no need to use the no of goats i.e (34,398). let initially thete be 1000 goats then

1000 -----> 1400 -----> 980 -----> 1274 ----->1146.6

Thus the % increase = (1146.6-1000)/100 x 100= 14.66%

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Filed Under: Percentage
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Q:

In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective products?

A) 89%	B) 97.1%
C) 96.1%	D) 86.1%

Answer & Explanation Answer: C) 96.1%

Explanation:

Non- defective products

$\frac{25 x 0.98 + 35 x 0.96 + 40 x 0.95}{100} x 100 = 96.1$

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Filed Under: Percentage
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Q:

In an election only two candidates contested 20% of the voters did not vote and 120 votes were declared as invalid. The winner got 200 votes more than his opponent thus he secured 41% votes of the total voters on the voter list. Percentage votes of the defeated candidate out of the total votes casted is:

A) 47.5%	B) 41%
C) 38%	D) 45%

Answer & Explanation Answer: D) 45%

Explanation:

Let there be x voters and k votes goes to loser then

0.8x - 120 = k + (k + 200)

k+200 = 0.41x

=> k = 1440

and (k + 200) =1640

Therefore 1440/3200 x 100 = 45%

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Filed Under: Percentage

Q:

In Veeru Bhai Pvt.limited company 60% of the employees are men and 48% of the employees are Engineer and 66.6% of these are men. The percentage of women who are not engineers:

A) 33.33%	B) 60%
C) 52%	D) 46.66%

Answer & Explanation Answer: B) 60%

Explanation:

Men Women

600x 400x

Total engineers = 480x

Male engineers = 480x X 0.66 = 320

Women who are Engineers = 160x

Women are not Engineers = 400x - 160x = 240x

Required percentage = $\frac{240}{400} x 100$ = 60%

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Filed Under: Percentage
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Q:

What is unit of Astronomical distance ?

A) light year	B) angstrom
C) weber	D) lux

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