Directions (1 – 5): Read the given information carefully and answer the questions.
There are 10 red balls and X yellow balls in a bag. When two balls are drawn from the bag without replacement, then probability of getting at least one yellow ball is 29/38. Veer invested Rs 100X in a scheme offering simple interest at 18% p.a. After 3 years, Veer gifted Y% of what he received in total from the scheme to Ayush which he distributed between Anurag & Amit in ratio (X + Y) : X respectively. Amount received by Amit is Rs 110. Amit mixed Y lit of pure milk with 40 lit of water from which Deepak took Z lit of mixture, due to which Amit is left with (Y – X) lit of milk.
Q1. which of the following is true?
(a) X < Y < Z
(b) X < Y > Z
(c) X > Y > Z
(d) X > Y < Z
(e) X = Y = Z
Q2. If Veer has gifted all the amount he received from the scheme to Ayush and Ayush further distributed it in ratio of 7 : 4 to Anurag & Amit respectively, then how much Amit would have received more?
(a) Rs 320
(b) Rs 340
(c) Rs 220
(d) Rs 450
(e) Rs 420
Q3. What is difference between quantity of milk & water in the mixture Deepak has?
(a) 2 lit
(b) 4 lit
(c) 0 lit
(d) 6 lit
(e) 8 lit
Q4. If Amit replaced quantity of mixture taken by Deepak with equal quantity of milk, then what is ratio of milk to water in the mixture that Amit has after replacement?
(a) 59 : 31
(b) none of these
(c) 17 : 10
(d) 4 : 5
(e) 29 : 16
Solutions
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