Q1. Two farmers A & B have mixture of urea & Potassium in the quantity of 120 kg and 80 kg respectively. The mixture of farmer A has potassium and the mixture of farmer B has 40% potassium. If farmer A used 60% of his mixture & B used 50% of his mixture and both gives their remaining mixture to farmer C, who have already an equal quantity of urea & Potassium. If ratio of urea & Potassium in resulting mixture of farmer C is 7 : 5, find total initial quantity of mixture farmer C had?
(a) 24 kg
(b) 36 kg
(c) 32 kg
(d) 42 kg
(e) 48 kg
Q2. 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 exchanges 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 invests total amount at the rate of 17.5% for two years?
(a) 14500 Rs.
(b) 14700 Rs.
(c) 14900 Rs.
(d) 14800 Rs.
(e) 14900 Rs.
Q3. There are three vessels A, B & C having Milk to water ratio as 3 : 5, 1 : 3 and 7 : y. After adding mixture of vessel B to A, the milk to water ratio becomes 1 : 2 in A . Now 60% of mixture is taken out from vessel A and mixture of vessel C is mixed with remaining mixture of vessel A which results in final Milk to Water ratio of 3 : 4. Find the value of y given that volume of B is 20 ltrs and volume of C is (7 + y) ltrs.
Q4. Aman invested an amount in scheme I which offers 2.75% p.a. at S.I for 4 years. He then withdrew his total amount and invested whole in the ratio of 6 : 7 at C.I. and SI respectively. The rate of interest offered in C.I. is 10% p.a. and rate of interest offered at SI is 10.5% p.a.. Find the initial amount invested by him in his first scheme which offered 2.75% p.a. if difference between interest earned in SI/CI earned form second scheme after 2 years is Rs. 2331.
(a) 1.1 lakhs
(b) 1.2 lakhs
(c) 1.21 lakhs
(d) 1.3 lakhs
(e) 1.4 lakhs
Q5. ‘x’ liters of a 30% alcohol solution is mixed with 40 liters of 60% alcohol solution & a resultant of 50% alcohol solution is formed. Now ‘3x’ liters of y% alcohol solution is added to 30 liters of 50% alcohol solution which resulted in 45% alcohol solution. The ratio of y : x is
(a) 17 : 6
(b) 16 : 15
(c) 7 : 15
(d) 14 : 5
(e) 17 : 8
Q7. Veer Invested X Rs. in SBI at the rate of 18% for 2 year and obtained a total simple interest of 6750 Rs. If he invested 2250 Rs. more for same period time at the rate of for first year and at for 2nd year on compound annually. Then find the total compound interest obtained by Veer after 2 year ?
(a) 6000 Rs.
(b) 5000 Rs.
(c) 3000 Rs.
(d) 7000 Rs.
(e) 5500 Rs.
Q8. A jar contains mixture of Rum and Vodka in the ratio of 4 : 1, when 10ℓ of mixture taken out and same amount of Vodka poured into jar the ratio becomes 2 : 3 then find how many liters of Rum was contained in Jar initially ?
(e) 18 l
Q9. A men invested his money in two schemes in the ratio of 3: 4. First scheme offers interest rate of 10% per annum in CI & second in which he invested more money than first at 12.5% per annum in SI. If difference in interest obtained after 3 years is Rs 10140, find money invested by him in both schemes.
(a) Rs 80000
(b) Rs 110000
(c) Rs 130000
(d) Rs 140000
(e) None of these
Q10. A man invested his total savings in two parts. He invested Rs. 30000/- in a scheme which offers CI at ROI of 10% per annum and remaining in SI at ROI of 5%per half year. After two years the amount obtained by him in former scheme is half of later, then calculate amount invested in later scheme.
(a) Rs. 242000
(b) Rs. 60500
(c) Rs. 12100
(d) Rs. 80525
(e) None of these
Directions (11-15): Study the data carefully & answer the questions.
Table given below shows the total candidate enrolled in 5 different schools and shows the percentage of unqualified candidates & ratio between the qualified male to qualified female in each school.
Note : 1. Total candidates enrolled = total qualified candidates + total unqualified candidates .
2. Some data are missing in table, find missing data is necessary.
Q11. If the qualified male in school B is 200 and qualified female in school C is 40% of unqualified candidates in school C, then find ratio of qualified male of C to qualified female in school B ?
(a) 176 : 150
(b) 176 : 125
(c) 96 : 113
(d) 93 : 125
(e) Cannot be determined
Q13.If average of total candidates of all the 5 schools is 1300 and qualified females in school B is 250 then find the average of qualified males in school D and Qualified females in school E. (Given that ratio of qualified males to qualified females in school E is 2 : 1)
Q15.If qualified candidates School D is 400 more than qualified candidates in school E then find total qualified candidates in school D & C together?
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