Q1. The ratio of monthly salaries of two persons, A and B is 8 : 7. If the salary of A is increased by 20% and that of B by 11%, the new ratio becomes 96 : 77. What is A’s salary?
Q2. A 210-metre long train crosses a man running at 9 kmph in opposite direction in 6 seconds. Find the speed of the train.
Q3. Average score of a cricketer in 13 matches is 42 runs. If the average score in the first 5 matches be 54 runs, what is the average score in the last eight matches?
= 13×42–5×54=546-270
= 276
∴ Required average
= 276/8=34.5
Q4. The perimeter of a rectangle whose length is 6 metres more than its breadth is 84 metres. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?
Q5. Due to decrease of 10% in the price of tea per kg, a consumer buys 250 gm of tea more than before for Rs. 270. What is the original price of tea?
Directions (6-10): Study the following graph carefully and answer the following questions
Preferences of people (man and children) in buying different ice-cream flavors over the years.
Q6. People buying chocolate flavor ice cream in year 2002 and 2003 together are approximately what percent more or less than people buying vanilla flavor ice-cream in 2005 and 2006 together?
=400+300=700
People buying vanilla flavor ice – cream in 2005 and 2006=350+300
=650
Required percentage =50/650×100
=7.69
~ 8% more
Q7. If ratio of man to children buying strawberry flavor ice cream in 2004 is 7 : 5 and children buying vanilla flavor ice cream in 2002 are 120% of children buying strawberry flavor in 2004 then what number of people except children buy vanilla flavor in 2002
Q8. People buying vanilla flavor ice cream in 2003 are approximately what percent less than people buying all three flavors in 2005?
People buying all three flavor in 2005 = 350+ 250 + 275
= 875
Required percentage = (875-375)/875×100
~ 57%
Q9. What is the ratio of people buying vanilla flavor in 2001, 2004 and 2006 together to the people buying strawberry flavor over all year?
= 950
People buying strawberry flavor over all years
=300+350+325+300+275+175
=1725
Required ratio =950/1725
=38/69
Q10. Average of people buying vanilla flavor in 2004 and 2006 together is X and if people buying chocolate flavor in 2007 are 100/11% percent more than x, then find number of people buying chocolate flavor in 2007.
=275
Number of people buying chocolate in 2007 = (100+100/11)% of 275
=1200/(11×100)×275
=300
Directions (11-15): What approximate value should come in place of question mark (?) in the following questions ?
Q11. 36.05% of 350 = ?
Q12. 8.07% of 449.97 + 5.96% of 1449.97 = 24.98% of ?
25% of ? = 36 + 87
25/100×? = 123
? = (123 × 100)/25=492
Q13. 84.04% of 1649.97 + 19.98% of 870.08 = ?
? = 1386 + 174 = 1560
Q14. 64.07% of 249.96 + 35.93% of 150.17 = ?
? = 160 + 54
? = 214
Q15. 35.01% of ?= 35.98²-32.02²-62.01
35/100×? = 1296-1024-62=210
?= 210×100/35=600