Q1. A person bought some pencils at the rate of 8 pencils for Rs.5 and sold them at the rate of 5 pencils at Rs.8. Find his profit/loss percentage.
(a) 124%
(b) 84%
(c) 136%
(d) 156%
(e) 78%
Q2. The perimeter of a square is 150% more than that of a rectangle. If area of the square is 225 cm², then find the perimeter of rectangle.
(a) 24 cm
(b) 15 cm
(c) 20 cm
(d) 36 cm
(e) 18 cm
Q3. Breadth of a rectangle is decreased by 20%. To make its area 10% less, by what percentage length of rectangle be increased or decreased.
(a) 15%
(b) 12.5%
(c) 18%
(d) 20%
(e) 5%
Q4. Ratio of cost price of two article A and B is 7: 5. Article A is sold at loss of 15% while article B sold at profit of 20%. If overall loss is Rs.3, then find the selling price of article B.
(a) Rs.357
(b) Rs.390
(c) Rs.420
(d) Rs.320
(e) Rs.360
Q5. In a bag, there a 12 blue balls and 7 red balls. If three balls are picked, find the probability that all the three balls are either blue balls or red balls.
(a) 3/4
(b) 5/19
(c) 9/19
(d) 9/14
(e) 5/7
Q6. In how many ways can be a committee of 4 persons made from 8 men and 5 women, if at least 2 women should be there in the committee.
(a) 276
(b) 312
(c) 365
(d) 409
(e) 392
Q7. A shopkeeper marked the price of an article 60% above its cost price and offers two successive discount of 20% and 12.5%, then find the his profit percentage.
(a) 12%
(b) 8%
(c) 15%
(d) 27.5%
(e) 20%
Q8. Two friend A and B sell same article which cost price is also same but A calculates his profit percentage on selling price while B calculates on cost price. Profit percentage for A and B be 20% and 10% respectively. Find the selling price of article for A and B.
(a) 18: 11
(b) 17: 12
(c) 25: 22
(d) 21: 17
(e) 24: 19
Q9. In a bag there are 12 balls of two different colors i.e. Red and yellow. If a ball is picked at random and probability of it being red is ⅔, then find the number of yellow balls in the bag.
(a) 6
(b) 7
(c) 8
(d) 4
(e) 5
Q10. A person sells an article at a profit of 20%. If he had bought it for 10% less and sold it for Rs.30 more, then he would have make 50% profit. Find the initial cost price of the article.
(a) Rs.240
(b) Rs.300
(c) Rs.200
(d) Rs.150
(e) Rs.100
Q11. A bag contains 4 red balls, 5 blue balls and 7 black balls. If two balls are picked at random, find the probability of neither of them being blue ball.
(a) 12/23
(b) 13: 21
(c) 15: 28
(d) 10: 21
(e) 11: 24
Q12. The sum of radius and height of a cylinder is 17 cm and total surface area of the cylinder is 238π cm². Find the volume of the cylinder.
(a) 490π cm³
(b) 356 π cm³
(c) 298 π cm³
(d) 414 π cm³
(e) 576 π cm³
Q13. Radius and height of a cylindrical solid metal is 14 cm and 49 cm respectively. If it melted and N number of square of 2 cm side is made, then find the value of N.
(a) 6432
(b) 7546
(c) 8250
(d) 7848
(e) None of these
Q14. In how many ways letters of the word ORANGE be arranged so that all the vowels arranged together.
(a) 36
(b) 120
(c) 24
(d) 144
(e) 48
Q15. How many 5 letter word contain exactly 3 consonant and 2 vowels from the word PERMUTATION so that two vowel occur together.
(a) 4800
(b) 3600
(c) 9600
(d) 6000
(e) 2400
Solutions
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