Directions (1-5): Bar graph given below shows total production of a company which produced two types of cars X and Y in given six years. Line graph shows production of Y in excess of X in-terms of percentage. Study the data carefully and answer the following question.
Q1. Total Y type car produced by company in year 2011 and 2012 together is what percent of the total Y type car produced by company in year 2014 and 2016 together.
Q2. Find the ratio of total X type car produced in 2011 and 2012 together to total X type car produced in 2013 and 2015 together.
(a) 21 : 22
(b) 15 : 22
(c) 7 : 10
(d) 8 : 11
(e) 6 : 11
Q3. In 2017, total production of company increases by 35% while production of X type car produced increase by 62% than that of in 2016, then find the percentage increase in the production of Y type car in 2017.
Q4. Find the average number of Y type car produced in 2011, 2013 and 2015 together.
Q5. In 2012, 20% Y type cars are defective while in 2014, 30% Y type cars are defective, then find the total Y type cars produced in 2012 and 2014 together which are non-defective?
Q6. Raman invested Rs. P in scheme ‘X’ which offers some rate at compound interest p.a. If ratio of interest earned by him after first year to second year from scheme ‘X’ is 20 : 43 while if Raman invested Rs. P in scheme ‘Q’ which offers same rate but at simple interest then after 4 years sum amounts to Rs. 51,200, then find the interest he can earn if he invested Rs. P for 3 years in scheme ‘X’.
Q7.A circle is inscribed in a square. If the difference between area of the square and circle is 262.5 cm², then find the area of the rectangle whose perimeter is same as that of circle while length of rectangle is 20% more than the breadth of rectangle (in cm²)
Q8. Sum of digits of a 5-digit number is 43. Find the probability that such a number is divisible by 11?
Q9.‘A’ and ‘B’ started a business together. ‘A’ invested (P + 250) initially while ‘B’ invested ‘1.5P’ initially. ‘A’ invested Rs. 1000 more after every 4 months while ‘B’ invested Rs. 500 more after every quarter. After an year ‘A’ got 46% of total profit then find the amount invested by ‘B’ in 3rd quarter?
Q10. In how many ways word ‘DELIGHT’ can be written such that both vowels will always come together.
Q12. A student finds the average of five two digits numbers. If One number is reversed and the average is taken again then the average increase by 5.4. If all five digits are consecutive multiple of four, then find the number which is reversed?
(e) None of these
Q13. Average weight of a group is 20 kg. When 2 people include in the group average weight becomes 22 kg after that when 4 another people removed from the group, having weight half of the weight of 2 person included previously, average weight become 25. Find the strength of group initially
Q15. Three-unit squares are chosen at random on a chessboard. What is the probability that two of them are of same color while remaining one is of another color?