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1) A box has 6 black, 4 red, 2 white and 3 blue shirts. What is probability of picking at least 1 red shirt in 4 shirts that are randomly picked? a. 4/15 b. 24/455 c. 69/91 d. 22/91
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2) One glass has juice and water in the ratio 5:2 while other glass has them in ratio 7:4, respectively. If both glasses poured in a vessel, then what will be final ratio of water to juice in the vessel? a. 8:35 b. 52:25 c. 35:8 d. 25:52
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3) Rohit starts a travel agency by investing Rs. 40000. After 4 months Raj joins the agency. Raj invests Rs.50000. What will be profit share of Raj if they earn a total of Rs. 187000 as profit in the entire year? a. Rs. 85000 b. Rs. 97000 c. Rs. 38800 d. Rs. 64666.67
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4) Ajay and Vijay’s investment is in ratio 5 : 2. Ajay gets Rs. 3420 as profit after donating 9% of total profit to orphanage. What is Vijay’s share? a. Rs. 4788 b. Rs. 3420 c. Rs. 5320 d. Rs. 1900
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5) Ramesh gets a profit of 20% in one trade and suffers a loss of 20% in the second when he sells 2 cycles for Rs. 4000 each. What is his profit or loss in the entire trade? a. Loss = 4% b. Loss = 16% c. Profit = 16% d. Profit = 4%
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6) If Suraj doesn’t want three vowels together, then in how many, can he arrange letters of the word 'MARKER'? a. 500 b. 720 c. 240 d. 360
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7) A trekking group is to be formed having 6 members. They are to be selected from 3 girls, 4 boys and 5 teachers. In how many ways can the group be formed so that there are 3 teachers and 3 boys or 2 girls and 4 teachers? a. 55 b. 90 c. 27 d. 144
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8) A box has 5 black and 3 green shirts. One shirt is picked randomly and put in another box. The second box has 3 black and 5 green shirts. Now a shirt is picked from second box. What is the probability of it being a black shirt? a. 4/9 b. 29/72 c. 8/72 d. 3/16
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9) If simple interest for 2 years for a sum is Rs. 600 and compound interest for the same sum for 2 years and same rate of interest is Rs. 645, what will be the rate of interest? a. 10% b. 15% c. 30% d. 5%
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10) A solution of honey and water is 28 litres, with honey and water in ratio 4:3. To this a 21 litre honey-water solution is added that has honey to water ratio as 2:1. Again a 51 litre honey-water solution that has honey to water ratio as 9:8 is added to this. After this 10 litre of the solution is replaced with pure honey. What is ratio of water to honey in the final mixture? a. 613:387 b. 15:12 c. 72:24 d. 387:613
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