Quant Quiz

1.A shopkeeper mixes two types of wheat, each costing Rs. 45/kg and Rs. 58/kg, so that by selling the resultant mixture at Rs. 55/kg, he makes a profit of 10%. In which ratio did he mix them?
(1) 3:10 
(2) 1:1 
(3) 8:5
(4) 2:7 
(5) None of these

2.Price of an article increases by 25%. By what percent should its consumption be reduced so that there is no change in expenditure?
(1) 20% 
(2) 25% 
(3) 33.335
(4) 10% 
(5) None of these

3.A and B can complete a work in 20 days and 60 days working alone. In how many days can they complete the work, working together?
(1) 12 days 
(2) 30 days
(3) 15 days
(4) 80 days  
(5) 40 days

4.Two numbers are in ratio of 3:5. If the first number is doubled while second number is increased by 20, the new ratio is 2:3. Find the sum of the initial numbers?
(1) 40 
(2) 50 
(3) 64 
(4) 7 
(5) None of these

5.In how many ways a team of 5 members, comprising of 3 boys, be selected from a group of 7 boys and 3 girls?
(1) 70 
(2) 105 
(3) 540 
(4) 14 
(5) None of these

6.In how many ways can the letters of the word PAPAYA be arranged?
(1) 60 
(2) 120 
(3) 360 
(4) 720 
(5) None of these

7.Find the difference between compound interest and simple interest on Rs. 15000 at 20% per annum compounded yearly for 2 years?
(1) Rs. 400 
(2) Rs. 500
(3) Rs. 600
(4) Rs. 750 
(5) Rs. 1000

8.If selling price of 40 articles is same as cost price of 50 articles, then find the profit/loss %?
(1) 20% loss
(2) 20% profit
(3) 25% loss
(4) 25% profit
(5) None of these

Directions (9-10): What should come in place of the question mark (?) in the following number series?
9.5,    7,    11,    13,    17,    19,    ?

(1) 23 
(2) 21 
(3) 25 
(4) 29 
(5) None of these

10.2,    6,    12,     20,    30,    42,   ?
(1) 50 
(2) 56 
(3) 63 
(4) 75 
(5) None of these

Answers with explanation !!!!