Q1. There are three varieties of sugar with their quantity in the ratio of 3 : 4 : 5. If 9 kg of first variety and 4 kg of second variety are added to their respective quantity and x kg of 3rd type is removed from it, then final ratio becomes 9 : 10 : 10. Find the sum of initial quantities of these varieties.
(a) 120 kg
(b) 96 kg
(c) 84 kg
(d) 108 kg
(e) None of these
Q2. A society organized an event every Saturday of week and after the event sweets are distributed among member of society. Each male got two sweets and each female got three sweets. If three males leave society and 216 sweets are distributed, then ratio between total sweets got by male to female of society is 5 : 7. Find difference between number of male and female in society?
(a) 1
(b) 3
(c) 6
(d) 7
(e) 11
Q3. A started a business with Rs 9000 and B joined him with Rs 16000 after 3 months. After a year ‘A’ got 35% of total profit for his managerial work while remaining profit is divided into A and B according to their investment. It after a year ‘A’ got Rs 52800 as his share, the total profit earned by them?
(a) 74,000
(b) 76,000
(c) 80,000
(d) 84,000
(e) 88,000
Q4. Marked price of two articles A and B are in the ratio of 7 : 9, at the time of selling shopkeeper gives discount of d% on article A and (d + 5)% on article B and made a profit of 25% on each article, if cost price of article A and B are in ratio 112 : 135. Then find percent of discount given by shopkeeper on both articles?
(a) 12.5%, 17.5%
(b) 25%, 30%
(c) 10%, 15%
(d) 15 %, 20%
(e) 20%, 25%
Q5. There was a race of 3000 meters between A & B on a circular track of 750 meters. First time they meet during the race is after 5 minutes of starting of race. Find the time taken by B to complete the race, if he runs at half the speed of A.
(a) 20 minutes
(b) 18 minutes
(c) 15 minutes
(d) 10 minutes
(e) None of these
Q6. A man bought two articles at different cost price and sold them, Ist at 12.5% profit and second at profit of 20%. The selling price of both the items is same and difference of profit earn on both is Rs. 10. Find the total cost price of both articles (in Rs.)?
(a) 280
(b) 300
(c) 310
(d) 320
(e) 350
Q7. Distance between Delhi and Jaipur is 300 km. Aman starts from Delhi and Rajiv from Jaipur at same time. After two hours, Aman realized he was travelling slow and therefore increased his speed by 25% and meet Rajiv at a point 108 km from Delhi. Find the increased speed of Aman, if Rajiv derived at a constant speed of 75 km/hr.
(a) 40 km/hr
(b) 50 km/hr
(c) 60 km/hr
(d) 55 km/hr
(e) 65 km/hr
Q8. ‘A’ and ‘B’ starts a business together. B’s investment is 30% more than that of ‘A’ while B invested 2 months more than that of ‘A’. If out of total profit of Rs.1845, A got Rs.675 then the time for ‘B’ invested?
(a) 10 months
(b) 12 months
(c) 6 months
(d) 4 months
(e) 8 months
Q9. In a group of 4 friends, ratio of present age of A and D is 4:5 and that B to C is 3:4. Calculate the present average age of A, B and C, if 4 years ago, A was 20 years younger than C and at present C is twice of age of A.
(a) 20 years
(b) 50 years
(c) 40 years
(d) 25 years
(e) 30 years
Q10. Divyaraj invested an amount into two parts in the ratio of 4 : 3 on compound interest for two years at the rates of 20% & 15% respectively. If he exchange rate of interests, then he will get Rs. 705 less interest than earlier interest, then find how much Simple interest he will get, if he invest total amount at the rate of 17.5% for two years?
(a) 14500 Rs.
(b) 14700 Rs.
(c) 14900 Rs.
(d) 14800 Rs.
(e) 14300 Rs.
Q11. How many arrangements of the letters of the word CATASTROPHE are there in which both the ‘A’s appear before both the ‘T’s?
(a) 11!/(2×2)
(b) 11!/4!
(c) (11×10!)/3!
(d) 11!/6!
(e) 11!/(2×2×3)
Q12. Three containers (A, B and C) have capacity in the ratio of 6 : 8 : 7 respectively. These three containers are pouring with three type of liquid X, Y and Z in the ratio 2 : 3 : 1 (in A), 1 : 2 : 5 (in B) and 3 : 1 : 3 (in C) respectively. Equal quantity of mixture is taken out from these containers and poured in container D. Quantity of liquid Y is 1/8 liter more than quantity of liquid X in container D. Find out the quantity taken out from each container.
(a)24
(b)35
(c)21
(d)20
(e)None of these
Q14. Dinesh and Pankaj give two type of exam (NET & GATE). Average marks obtained by Dinesh and Pankaj in Net exam is 60 and average marks got by them in GATE is 32 1/2. If Pankaj score the double marks in NET exam as compare to GATE exam and Dinesh scored 66 ⅔% marks more in NET as compare to his GATE marks then find out the difference between the marks obtained by Dinesh in both exam to marks obtained by Pankaj in both exam.
(a)20
(b)24
(c)23
(d)25
(e)28
Q15. Interest earn on an amount at 11% rate in simple interest for 4 years equal to the interest earn when same amount invested at some interest in a scheme with C.I. for 2 years. If Interest earn in C.I. for 3 years is 10920 then find out the initial amount invested.
(a) 9200
(b) 10500
(c) 15000
(d) 11000
(e) None of these
Solutions