QUANTessential👑

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Answer Key : - 1. E 2. E 3. D 4. A 5. A

5. Two boats, X and Y started travelling towards each other from point M and point N respectively at the same time, where point M and N are the end points of the river. On reaching another end point, both boats return to the same end point from where they had started. The speed of boat X in still water is 10 km/h less than the speed of boat Y in still water. Both boats meet for the first time after (84/11) hours of their start. If the speed of stream is 2.5 km/h which is flowing from point M to point N and the length of the river is 420 km, then after how much time of start will both boats meet for the second time? A. 22.65 hours B. 22.75 hours C. 20.84 hours D. 24.72 hours E. None of these

4. Bag P contains black, white and yellow balls in the ratio of 4: 3: 3 respectively. Bag Q contains 7 black, 9 yellow and 5 white balls. Two balls are randomly drawn from bag Q and put in bag P. Now a ball is randomly drawn from bag P and the probability that a yellow ball is drawn is 0.306. A ball is randomly drawn from bag P and bag Q separately (before the 2 balls are transferred from Bag Q to Bag P). Find the difference in the probabilities of drawing a black ball from both the bags. A. 0.067 B. 0.4 C. 0.2 D. 0.33 E. None of these

3. Rajdhani express after travelling 250 km meet with an accident due to which it proceeds at 75% of its original speed and arrived at its destination 70 minutes late but had the accident had taken place 60 km further then the train would have arrived at its destination 50 minutes late. Rajdhani express crosses a pole with its original speed In 90 seconds and crosses Sampoorna Kranti express which is 20% longer than Rajdhani express and is coming from the opposite direction in 1.8 minutes. Time taken by Sampoorna Kranti express to cross a platform is 3.168 minutes. Find the length of the platform. A. 760 m B. 900 m C. 960 m D. 840 m E. None of these

2. The income of Y is Rs __________ and the average income of X and Y is Rs 4500. The expense of Y is 60% of his income and expense of X is 40% of Y's income and savings of X is __________% of the savings of Y. The values given in which of the following options, will fill the blanks in the same order in which it is given, to make the above statement true? I. 6000, 25 II. 5400, 66.67 III. 4500, 150 IV. 6300, 7.14 A. Only I and II B. Only III and IV C. Only I, II and III D. Only II, III and IV E. All I, II, III and IV

1. An item is marked 35% above the cost price and a discount of 11(1/9)% is given to earn some profit. If the customer further makes some bargain and pays _____% less, the profit will decrease by _______%. The values given in which of the following options, will fill the blanks in the same order in which it is given, to make the above statement true? I. 15, 90 II. 11.25, 67.5 III. 6.5, 39 IV. 8.25, 49.5 A. Only I and II B. Only II and III C. Only III and IV D. All Expect III E. All I, II, III and IV

Answer Key : - 1. A 2. C 3. E 4. B 5. C

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5. X and Y are two friends who are running on a track AB. Whenever anyone of them reaches A or B they take a U- turn and continue towards the other end. X starts running from B towards A, after reaching a point C he takes a U turn and when he has reached right in the middle of BC, which is point D, Y starts running from A towards B. X reaches B takes a U - turn and meets Y at point C. If CD is equal to 72 m and ratio of speed of Y and X is 5: 9, what is the length of the track AB? A. 220 m B. 242 m C. 264 m D. 296 m E. None of these

There is a road alongside the bank of a river. Two friends Vivek and Sanket decided to travel back and forth between point P and point Q starting from point P, where Vivek is sailing on the boat in the river with boat speed of 45 km/hour and stream speed of 15 km/hour flowing from point P to Q, and Sanket is travelling on cycle on roadside with speed 36 km/hour. Find the distance between the point at which they will cross each other while travelling towards each other for the second time and point P, where the distance between point P and Q is 180 km. A. 17 km B. 22.5 km C. 25 km D. 32.5 km E. None of these

A vessel contains __________ litres mixture of water and ethanol mixed in the ratio 5: 7 respectively. 216 litres mixture is taken out of the vessel and replaced with ___________ litres of water, so that the ratio of the water to ethanol in the vessel becomes _________ . The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true: I. 576, 165, 3: 2 II. 306, 26, 6: 5 III. 486, 45, 1: 1 A. Only I B. Only II C. Only II and III D. Only I and II E. Only I and III

Sumit, Ram and Raj can do a piece of work in 18, 27 and 36 days respectively. All three started working together but after __________ days, Sumit and Ram left the work and the remaining work is completed by Raj alone in ________days. The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true: A. 7, 9 B. 6, 10 C. 5, 16 D. 3, 23 A. Only A and B B. Only A, B and C C. Only B and D D. Only B, C and D E. Only C and D

1. There are 3 containers X, Y and Z and each container has the mixture of alcohol and water. Container X contains 30% water, Container Y contains 20% water and container Z contains 22% water. If the whole mixture of containers X and Y are mixed, then the resultant mixture contains 26% water and if the mixture of container X and Z mixed, then the resultant mixture contains 25% water. If the quantity of water in container Z is 132 litres water, find the total quantity of alcohol in container X, Y and Z together. A. 912 litres B. 932 litres C. 1032 litres D. 1075 litres E. None of these

Lokesh purchased a bucket for Rs. __________ which is Rs. 1200 less than the amount paid by Vishal for a jug. Lokesh marked his article ______% above its cost price and then sold it at a discount of 20%. Vishal sold the jug at a loss of 20% such that difference between their selling prices is Rs. _________ . The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: . I. 900, 20, 816 II. 480, 75, 672 III. 600, 25, 840 Only I and III Only II Only II and III Only I and II All I, II and III

V Mart has a scheme of "buy 2 trousers of same cost and get a discount of 20% on each trouser"; while Citykart has a scheme of "buy 2 trousers and get a 15% discount on the trouser which costs more out of the two". Find the overall discount percentage, if a man bought 2 trousers of marked price Rs 900 each from V Mart and 2 trousers from Citykart of marked price Rs 732 and Rs 1080. [Assume Citykart sells the lower priced trouser at its marked price]. 14.5% 16.4% 18.2% 20.5% 23.4%

P and Q entered into a business investing Rs 800 and Rs 1000, respectively. After 8 months, P _______ his investment by _________ while Q ___________ his investment by 30% and R entered into the business investing Rs a. lf total interest earned at the end of 2 years is Rs 5400 then the profit share of R, out of total profit is Rs. ______ such that value of x < 3200. The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: I. Increased, 20%, increased, 1134 II. Increased, 37.5%, decreased, 2970 III.Decreased, 25%, increased, 2600 Only I Only II Only III Only I and II Only I and III

A 1500 liters mixture contains liquid P and Q in the ratio ________ respectively. If 100 liters liquid P and 220 liters liquid Q added to the mixture, then the ratio of liquid P and liquid Q in the mixture becomes ___________ respectively and if 50% mixture is replaced with liquid Q, then the new quantity of liquid Q becomes 850 liters. Which of the following options are possible for the blanks in same order? A. 8: 7, 4: 7 B. 7: 3, 8:11 C. 13: 2, 3: 10 D. 9: 4, 1: 4 Only C Only A Both A and C Both B and D None of these

A bag contains 70 balls of three different colors viz. blue, green and white. The ratio of green balls to blue balls is ___________, respectively and probability of choosing a white ball is 2/7. If two balls are picked from the bag, then the probability that one ball is green and one ball is white is ______ . The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: I.4: 5, 42/481 II. 3: 2, 40/161 III.9: 11, 34/247 A bag contains 70 balls of three different colors viz. blue, green and white. The ratio of green balls to blue balls is ___________, respectively and probability of choosing a white ball is 2/7. If two balls are picked from the bag, then the probability that one ball is green and one ball is white is ______ . The values given in which of the following options will fill the blanks in the same order in which is it given to make the statement true: 4: 5, 42/481 3: 2, 40/161 9: 11, 34/247