Q1. The time taken by a boat for covering ‘X – 18’ km upstream is equal to time taken by it for covering ‘X’ km downstream. If upstream speed is 6 km/hr less than downstream speed and speed of boat in still water in 15 kmph. Find X.
(a) 45 km
(b) 54 km
(c) 40 km
(d) 48 km
(e) 60 km
Q2. Mohan has two sons named Ram and Karan. The ratio of age of Mohan and Ram is 5 : 2 and that of Ram and Karan is 8 : 5. Also, Ram is 6 years elder than Karan. Find the ratio of their ages after 10 years.
(a) 23 : 10 : 4
(b) 25 : 16 : 9
(c) 25 : 13 : 10
(d) 50 : 26 : 19
(e) 25 : 16 : 10
Q3. An alloy ‘A’ made of Copper and Zinc contain 40% copper and another alloy ‘B’ having same elements contain 30% zinc. A new alloy is made by mixing both alloys which contain 60% copper. Find the ratio of quantity of alloy A and alloy B in the new alloy?
(a) 1 : 2
(b) 3 : 4
(c) 2 : 1
(d) 4 : 3
(e) 5 : 3
Q5. 21 men can do a piece of work in 15 days and 35 women can do a piece of work in 11 days. With the same efficiency 18 men and 20 women can do another piece of work in ‘(Y – 4)’ days and ‘Y’ days respectively. Find the value of Y?
(a) 40
(b) 44
(c) 35
(d) 38
(e) 39
Q6. Neha scored 37% marks and failed by 78 marks. If she scored 42% marks, she fails by 48 marks. Find by how much marks would she fail or pass if she scored 48% marks?
(a) 16 marks,fail
(b) 12 marks,fail
(c) 10 marks,pass
(d) 18 marks,pass
(e) 25 marks, fail
Q7. The price of sugar decreases by 20% and consumption of a family increased by 30%. Find the % change in the expenditure of family?
(a) 4% increase
(b) 2.5% increase
(c) 4% decrease
(d) 2.5% decrease
(e) 5% increase
Q8. Prachi’s age 6 years ago was 3/2 times Yashi’s age 2 year hence. The ratio between Prachi and Yashi’s age 8 year hence will be 16 : 9. Find present age of Yashi’s brother if he is 2 year elder than Yashi?
(a) 16 yrs
(b) 14 yrs
(c) 10 yrs
(d) 12 yrs
(e) 20 yrs
Q9.In a right angled triangle of hypotenuse 15 cm, the remaining two sides are in the ratio 3 : 4. If smaller side is equal to radius and second longer side is equal to height of right circular cylinder, find volume of cylinder?
(a) 288π
(b) 512π
(c) 972π
(d) 778π
(e) 750π
Q10. In a mixture A, ratio of milk to water is 7 : 9. After adding 34 ltr of mixture B
having ratio of water to milk 9 : 8, the new ratio(milk : water) in the final mixture
becomes 5 : 6. Find the total quantity of milk in the final mixture.
(a) 28 ltr
(b) 30 ltr
(c) 36 ltr
(d) 32 ltr
(e) 24 ltr
Q11. A man invested his savings in two equal parts. He invested first part at SI with rate
of interest 8% per annum for 3 years while the other part at CI with rate of
interest 10% for 2 years. If the difference between interest earned in both the
cases is Rs 741. Find his total savings.
(a) 74,100 Rs.
(b) 24,700 Rs.
(c) 4,94,00 Rs.
(d) 4,84,00 Rs.
(e) 2,84,00 Rs.
Q13. The average weight of N student in a class is 30 kg. If five new students with an
average weight of 50 kg join the class the new average become 35kg. Find initial
number of students in the class.
(a) 20
(b) 18
(c) 25
(d) 16
(e) 15
D
Q14. Raheem spends 36% of his monthly income on daily spendings, 40% on house rent and children fee together and rest amount he saves for future needs. If his total savings be Rs. 14,400. Find his total monthly income.
(a) Rs. 45,000
(b) Rs. 40,000
(c) Rs. 48,000
(d) Rs. 60,000
(e) Rs. 55,000
Q15. The population a city after three years will be 21,600. If rate of increase of population per year be 20% then find the present population of the city.
(a) 12,500
(b) 16,500
(c) 14,500
(d) 10,500
(e) 11,600
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