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IBPS PO Prelims 2016 - Quantitative Aptitude

IBPS PO Prelims 2016 - Quantitative Aptitude - Important Points


16.

A seller mark the price 50% above the cost price and give 10% discount on an item. While selling he cheats customer by giving 20% less in weight.Find his overall profit percent(approximate)?

A. 26%

B. 65%

C. 68%

D. 72%

E. 76%

Discuss Work Space

Answer: option c

Explanation:

Let seller bought 100 gram at Rs. 100.
Selling price = 90/100 x 150/100 = 135
But he weigh 80 gram instead of 100 gram as he cheats 20% in weight.
Profit% = (135-80)/80 × 100
= 55/80 × 100
= 68.75 (68%)


17.

There are 81 liters pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?

A. 1:2

B. 1:1

C. 2:1

D. 4:5

E. None of these

Discuss Work Space

Answer: option d

Explanation:

Milk left = 81 (1 - 27/81)^2
= 81 (1 - 1/3)^2
= 81 x 4/9
= 36
Required Ratio = 36/(81-36)
= 36/45
= 4/5


18. A is 2 years older than B while B is 3 year younger than C. The ratio of age of A, 6 years hence and B, 2 years ago is 5:3. What was age of C, 6 years ago?

A. 12 years

B. 19 years

C. 15 years

D. 14 years

E. 21 years

Discuss Work Space

Answer: option d

Explanation:

A B C
x + 2 x x + 3
=> x+2+6/(x-2) = 5/3
=> x+8 / (x-2) = 5/2
=> 24 = 5x - 10
=> x = 17
Age of C, 6 years ago = 17+3-6 = 14 years


19.

A, B and C started a business with their investments in the ratio 1 : 2 : 4. After 6 month A invested the half amount more as before and B invested same the amount as before while C withdrew 1/4th of his investment. Find the ratio of their profits at the end of the year.

A. 5 : 12 : 13

B. 5 : 11 : 14

C. 5 : 12 : 14

D. 5 : 12 : 10

E. None of these

Discuss Work Space

Answer: option c

Explanation:

A                  B                C
x*6+6*3/2 x 2x*6+4x*6 4x*6+3x*6
6x+9x          12x+24x     24x+18X
15x              36x            42x
5                  12             14


20. The average marks in Science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?

A. 68.5

B. 69

C. 69.5

D. 70

E. 66

Discuss Work Space

Answer: option b

Explanation:

Increase in Average marks = (72+61) - (48+65) / 20
133 - 113 / 20 = 20 / 20
Correct Average = 68 + 1 = 69



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