You Are On Multi Choice Question Bank SET 3825
191251. A variable x is proportional to y. If 3 values $$x_1, x_2, x_3$$ of x are in the ratio 2:3:4 such that $$x_1 + x_2 + x_3$$ = 9 and $$x_1y_1+x_2y_2+x_3y_3$$ = 29 then the ratio of the increase percentages of $$x_1y_1$$, $$x_2y_2$$, $$x_3y_3$$ over $$x_1,x_2,x_3 $$respectively is
191252. A fruit vendor has certain oranges with him. He sells each orange for Rs.5. Three customers A, B, C successively bought 25%, $$33\frac{1}{3}$$, 50% of the oranges that are left over with the vendor each time. Later a fourth customer D bought 4 oranges. If A and D together paid Rs.140/- to the vendor, then the percentage of oranges left with the vendor is
191253. A, B, C and D are four students in a class. A's total score is 20% less than B's total score, C's total score is 25% more than A's total score, D's total score is 20% more than A's total score. If the least total score among the scores is 240, then the ratio of the scores of the four students in the decreasing order is
191254. A merchant is selling goods by importing from abroad. He gets a discount of $$33\frac{1}{3}$$% on 3 the catalogue price, pays 20% import duty on the net cost of the goods and sells the goods for a profit of 25%. If the catalogue price of an article is Rs. 3,756, then its selling price (in Rs.) is
191255. A dishonest dealer claims to sell his goods for the cost price. If he uses 20% less weight in weighing the goods, his gain % is:
191256. If a person sold his watch for Rs.24 with a profit percentage numerically equal to its cost price, then the cost price of the watch is Rs.
191257. A shopkeeper offers successive discounts of 20% and 25% on the marked price of an article and gets a profit of 20%. If he wants to make 40% profit, the percentage by which the marked price is to be increased is
191258. A shopkeeper sells two types of articles A and B for the same price at Rs. 150/-. The cost prices of them are respectively Rs. 120/- and Rs. 200/-. On the first day he sells only one item of A and increases this number by 6 units each day. He sells 50 units of 13 on first day and decreases this number each day by 2 units. The number of days the shopkeeper incurs a net loss continuously is
191259. The following table shows the different number of items a shopkeeper sold with different cost prices and different selling prices. Use this information to match the items of List A with the items of List B.
The correct match for i, ii, iii is
191260. The average score of 3 students A, B and C is 72. When D joins them the average score of all the four becomes 70. If another student E, whose score is 4 more than that of D replaces A then the average score of B, C, D and E becomes 68. Then the score of A
191261. The first quality of juice costs Rs.15 per litre and the second quality of juice costs Rs.10 per litre. If the mixture of these two qualities is sold at the rate of Rs.14 per litre, then the ratio in which these two qualities of juices are to be mixed in order to get a profit of 20% is
191262. The average of all the numbers which are the first ten multiples of each of the first ten natural numbers is
191263. The ratio of copper to zinc in an alloy 'A' of 7kgs is 5:2. The ratio of the same metals in that order in another alloy 'B' of 7kgs is 3:4. If 28kg of alloy is made by mixing A and B in quantities x & y respectively so as to have the ratio of copper and zink in the ratio 1:1, then x : y is
191264. A milk vendor generally sells 3 Grades of milk. Grade I is pure milk with no water mixed in it, Grade II is a mixture of milk and water in the ratio 3:2 and Grade III is a mixture of milk and water in the ratio 2:3. On a particular day he has x liters of Grade I and 3 liters of Grade III milk and he got an order to supply 7 liters of Grade II milk. The minimum value ofx (in litres) required to prepare 7 Its of Grade H milk by mixing Grade I milk, Grade III milk and water, is
191265. A business man buys two qualities A and B of a product at Rs. 120 per kg and Rs. 60 per kg respectively. He then mixes these two qualities and sells at Rs. 100 per kg. Then the percentage increase in the profit on a certain quantity of the mixture of A and B in the ratio 7:11 on the profit on the same quantity of the mixture of A and B in the ratio 1:1, is
191266. A jar contains a mixture of 2 liquids A and B in the ratio 4:1. If 10 liters of mixture is taken out and 10 liters of liquid B is poured into the jar, the ratio becomes 2:3. The amount of liquid A contained in the jar initially is
191267. The amount of water to be mixed with 32 liters of pure fruit juice so as to get 25% profit on selling the mixture at the cost price of the pure juice, (in liters) is
191268. A vessel of capacity V liters can be filled by two taps A and B independently in $$\frac{1}{4}$$ hr and $$\frac{1}{6}$$ hr respectively. A tap C empties the full tank at the rate of 7 liters per min. If all the 3 taps are opened simultaneously, the full vessel is emptied in 120 min. Then V =
191269. A pipe can fill an empty cistern with water in 5 hours. Due to leakage in its bottom, it takes 6 hours to fill the cistern. When the cistern is full, the time (in hours) in which it is emptied due to leakage is
191270. Three pipes A, B, C have flow rates of 2 liters, y liters and 3 liters per minute, (2 < y < 3) respectively. The lowest and the highest flow rates of the pipes are decreased by a constant quantity x. If the reciprocals of the flow rates of A, B, C are in arithmetic progression both before and after the change, then x =
191271. A swimming pool is fitted with 3 pipes A, B, C to fill the pool. A and B together can fill the pool in half the time that is required for C to fill the pool. B takes 20 hours more than the time required for A and 14 hours more than the time required for C to fill the pool. Then the time (in hours) required for all the 3 pipes together to fill the pool is
191272. Mohan is thrice as efficient as Srinu and completes a work in 40 hours less than the time taken by Srinu. If both of them work together, the time (in hours) required to complete that work is
191273. Two children A and B are playing a game. A can draw a picture in,30 minutes and B can erase it in 40 minutes. If A starts drawing, and if the drawing sheet is passed on to these two alternately for every one minute, then the time (in minutes) required to complete a picture for the first time is
191274. 18 men and 12 women can complete a work in 18 days. A women takes twice as much time as a man to complete that work. Then the number of days required for 8 men to complete the same work is
191275. A boy, a man and a woman can do a work independently in 72, 12 and 48 days respectively. The number of women required to assist 6 boys and a man to complete that work in 2 days is
191276. 64 men working 8 hours a day plan to complete a piece of work in 9 days. After 5 days, they were able to complete only 40% of the work. The number of hours they should work per day so as to complete the remaining work in 4 more days is
191277. Two friends A and B working together can complete a piece of work in 16 days. A alone can do the same work in 32 days. If A and B work on alternate days, starting with B, the time (days) in which the work can be completed is
191279. The number of zeros at the end of the product $$1003 \times 1001 \times 999 \times...\times123$$ is
191280. If A = $$2^{352} 5^{411} 3^{152}$$ ; B = $$2^{352} 5^{410} 3^{153}$$ ; C = $$2^{350} 5^{412} 3^{149}$$, and D = $$2^{353} 5^{409} 3^{150}$$ then the descending order of A, B, C, D is
191281. The smallest 5 digit number which when divided by 7,11 and 21 leaves the remainder 3 in each case is
191283. If the number obtained after subtracting x from 2035 leaves the same remainder 5 when it is divided by 9,10 and 15, then the smallest possible x is
191285. Let A = {(a, b, c)/ $$c^2$$ = $$a^2 + b^2$$ }. If (3, 5, x), (y, 3, 7), (1, z, 5) are three elements of the set 'A' and the LCM of $$x^2, y^2, z^2$$ is $$p_1^{\alpha_1} p_2^{\alpha_2} p_3^{\alpha_3} p_4^{\alpha_4}$$ where $$p_1, p_2, p_3, p_4$$ are primes, then $$\frac{p_1 + p_2 + p_3 + p_4}{\alpha_1 + \alpha_2 + \alpha_3 + \alpha_4}$$ =
191286. If the number of numbers between 100 and 1000 that are divisible by 11 is x, then the number of total divisors of x is
191287. Match the items of the following lists.List - A List - B a) a, b are prime numbers i) LCM of $$a, b \leq ab$$b) a, b are composite numbers ii) Conjugate surds c) $$ 1.34 \overline{54}$$iii) Irrational numbers d) $$(\sqrt[3]{2} + 3\sqrt{5})(\sqrt[3]{2} - 3\sqrt{5})$$iv) Rational numbers v) Co-prime numbers Correct answer for a, b, c, d is
191288. Let $$p_1, p_2, p_3$$ be prime numbers and $$\alpha, \beta, \gamma$$ be positive integers. If $$p_1^\alpha p_2^\beta p_3^\gamma$$ is a divisor of 34864764 lying between 100 and 200, then ($$p_1 + p_2 + p_3$$)($$\alpha + \beta + \gamma$$) =
191290. The value of $$\frac{1}{1^2.3^2} + \frac{2}{3^2.5^2} + \frac{3}{5^2.7^2} + \frac{4}{7^2.9^2} + ...... + \frac{15}{29^2.31^2}$$ is
191291. If $$x = \frac{3 + \sqrt{6}}{5\sqrt{3} - 2\sqrt{12} - \sqrt{32} + \sqrt{50}}$$, then $$\frac{x^4 - 1}{x^4 + 1}$$ =
191292. Each mango costs Rs.5 and each orange costs Rs.7. If a person spends Rs.38 on these two varieties of fruits, then the sum of the number of mangos and oranges purchased by that person is
191293. If $$x = \frac{1}{\sqrt{13} - 3}, y = \frac{1}{\sqrt{7} - \sqrt{3}}, z = \frac{1}{\sqrt{2}(\sqrt{3} - 1)}$$, then
191294. The smallest of the differences between the perfect sqares lying on either side of the least positive integer that is divisible by 3, 4, 5, 6, 8 is
191295. If $$x = \sqrt{2} + \sqrt[3]{5}$$ and $$y$$ is such that $$xy$$ is rational, then a value of $$y$$ is
191296. If the mean proportional of $$b, c$$ and the $$4^{th}$$ proportional of $$a, b, c$$ are both equal to 8, then $$abc$$ =
191298. If $$x = 1 + \frac{1}{2^2} + \frac{1}{2^3} + ....\infty$$ and $$y = x + \frac{1}{2} + \frac{x}{9} + \frac{1}{18} + \frac{x}{81} + \frac{1}{162} + ....\infty$$, then
191299. The number of ordered pairs (x,y) of positive integers satisfying the inequality 5x + 3y $$\leq$$ 15 is
191300. In a class, the number of boys who can swim is one more than the number of girls who can swim. The number of girls who cannot swim is one more than the number of boys that cannot swim. The difference between number of boys who can swim and number of girls who cannot swim is two. Then which of the following is true?
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