Q1. A chemical shop owner has 40 liters of liquid ‘A’ and he sells 10 liters of liquid ‘A’ and replaced same quantity of water. He repeats same process one more time further, find quantity of liquid ‘A’ is how much more than water in final mixture?
(a) 5 liters
(b) 12 liters
(c) 20 liters
(d) 17.5 liters
(e) 25 liters
Q2. The diagonal of rectangle which length 12 cm and breadth 5 cm are equal to hypotenuse of a right – angle isosceles tringle. Find the area of rectangle is how much more than ( in cm sq.) that of area of right – angle isosceles tringle?
Q3. The ratio of investment of Anurag and Ayush is 2 : 3 and out of total profit of Rs. 76000 shares of Ayush is Rs. 36000. Find the ratio of time period for which Anurag and Ayush invested their capital respectively?
(a) 3 : 2
(b) 6 : 5
(c) 4 : 3
(d) None of these
(e) 7 : 6
Q5. A lent B Rs.12000 on C.I. at the rate of 20% per annum and at the end of first year B borrowed Rs. ‘x’ more from A on C.I. at the same rate. If at the end of second year, B paid total amount of Rs.20400 to A, then find value of x?
Q6. A vessel of capacity 64 liters is full of mixture of milk & water and the percentage of milk in mixture is 75%. If some quantities of mixture is replaced with pure milk then the water in the vessel becomes 25% of the replaced quantity of the mixture. Quantity of water removed from the vessel is what percent of the capacity of vessel?
Q7. Average marks of class XI are ‘X’ and when average marks of 15 students reduced by 6, then average marks of class reduced by 1.875. If number of students in class XII is 16 more than that of in class XI and total marks of class XII is 5120, then find average marks of class XII?
Q8. The perimeter of a triangle is equal to perimeter of a rectangle. Length of rectangle is 75% of side of a square and ratio of length to breadth of rectangle is 3 : 2. If difference between perimeter of square and that of rectangle is 36 cm, then find perimeter of triangle?
(a) 60 cm
(b) 48 cm
(c) 72 cm
(d) 80 cm
(e) 96 cm
Q9. A vessel contains 120 liters of milk. 30 liters of milk taken out from the vessel and replaced by water and this operation repeated two more times. Find the ratio of milk and water in resulting mixture?
(a) 71 : 23
(b) None of these
(c) 23 : 77
(d) 27 : 47
(e) 27 : 37
Q12. Two types of ornaments are prepared by using gold and copper in two different proportions. In first ornaments, 6-gram gold is mixed with 5 gram copper and in second ornament 5 gram gold is mixed with 3 gram copper. If total quantity of gold and copper is 122 gram and 90 grams respectively then how many ornaments are prepared of second type?(total gold and copper is used)
Q13. In an annual exam of five subject, a student score in each subject was in the proportion of 7 : 8 : 9 : 10 : 11. If maximum marks in each subject are 200 and he scored 60% of total marks of all subjects then in how many paper he scored more than 55% marks?
(e) None of these
Q15. Length of a rectangle is how much percent more than its breadth if area of rectangular plot is 480 sq. m. and when each side has been 5 m longer, the area would have been increased by 245 sq. m.?