
question_answer1) If \[\frac{\mathbf{3}}{\mathbf{x1}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{x3}}\mathbf{=}\frac{\mathbf{4}}{\mathbf{x2}}\]then x =?
A) 4 done
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B) 4 done
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C) 3 done
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D) 2 done
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question_answer2) If \[\frac{\mathbf{x6}}{\mathbf{x2}}\mathbf{+}\frac{\mathbf{x3}}{\mathbf{x8}}\mathbf{=2}\] then the value of x =?
A) 22 done
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B) 11 done
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C) 11 done
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D) 22 done
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question_answer3) 60 is divided into two parts such that the sum of their reciprocals is\[\frac{\mathbf{3}}{\mathbf{25}}\]. What is the largest number?
A) 10 done
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B) 50 done
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C) 25 done
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D) 20 done
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question_answer4) The value of k for which the system of equations \[\mathbf{x+3y=6,3x+ky+18=0}\] has no solution, is
A) 6 done
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B) 6 done
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C) 9 done
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D) 9 done
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question_answer5) If \[\left( \mathbf{2},\mathbf{3} \right)\] is a solution of the equation \[\mathbf{5x2y=k,}\] find the value of k.
A) 7 done
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B) 6 done
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C) 5 done
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D) 4 done
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question_answer6) How many kilograms of tea at Rs 20 per kg should be mixed with 14 kg of tea costing Rs 30 per kg so as to sell the mixture at Rs 27 per kg without gaining or losing anything in the transaction?
A) 6 kg done
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B) 7 kg done
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C) 15 kg done
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D) 10 kg done
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question_answer7) Three consecutive numbers such that thrice the first, 4 times the second and twice the third together make 188. Find the least of the consecutive numbers is.
A) 18 done
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B) 21 done
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C) 19 done
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D) 20 done
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question_answer8) A man is four times as old as his son. After 2 years the man will be three times as old as his son. What is the present age of the man?
A) 20 years done
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B) 16 years done
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C) 4 years done
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D) 24 years done
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question_answer9) Two planes start from a city and fly in opposite directions. The average speed of first is 50 km/h more than the second. If they are 2600 km apart after 4 hours, find the sum of their average speeds.
A) 650 km/h done
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B) 360 km/h done
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C) 320 km/h done
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D) 640 km/h done
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question_answer10) Straight lines represented by linear equations \[\mathbf{x}+\mathbf{y}=\mathbf{2}\] and \[\mathbf{5x}\mathbf{3y}=\mathbf{2}\] intersect at which of the given points?
A) (1, 2) done
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B) (1, 1) done
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C) (2, 1) done
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D) (3, 2) done
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question_answer11) Crate of mangoes contains one bruised mangoes for every forty mangoes in the crate. If 4 out of every 5 bruised mangoes are considered unsalable and there are 10 unsalable mangoes in the crate, then how many mangoes are there in the crate?
A) 200 done
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B) 250 done
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C) 300 done
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D) 500 done
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question_answer12) A student was asked to find the value of \[\frac{\mathbf{3}}{\mathbf{7}}\] of a sum of money. The student made a mistake by dividing the sum of \[\frac{\mathbf{3}}{\mathbf{7}}\] and then got an answer which exceeded the correct answer by Rs. 80. The correct answer was:
A) Rs. 42 done
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B) Rs. 24 done
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C) Rs.81 done
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D) Rs. 18 done
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question_answer13) When an amount was distributed among 12 boys, each of them got Rs. 80 more than the amount received by each boy when the same amount is distributed equally among 16 boys. What was the amount?
A) Rs 3800 done
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B) Rs 3860 done
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C) Rs 3840 done
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D) Rs 3850 done
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question_answer14) Ajay had 65 currency notes in all. Some of which were of Rs 100 denomination and the remaining of Rs 50 denomination. The total amount of all these currency notes was Rs, 5000. How much amount did he have in the denomination of Rs 100?
A) Rs 3000 done
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B) Rs 2500 done
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C) Rs 1000 done
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D) Rs 3500 done
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question_answer15) The total value of a collection of coins of denominations Rs 1.00, 50 paise, 25 paise 10 paise and 5 paise, is Rs 380. If the number of coins of each denomination is the same, find the number of one rupee coins.
A) 160 done
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B) 180 done
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C) 200 done
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D) 220 done
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question_answer16) Find the equation of the line that passes through the points (5, 15) and (10, 20).
A) \[y=x+10\] done
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B) \[y=x30\] done
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C) \[y=x+30\] done
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D) \[y=x+15\] done
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question_answer17) A positive number, when increased by 10 equals 200 times its reciprocal. What is number?
A) 100 done
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B) 10 done
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C) 20 done
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D) 200 done
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question_answer18) If \[\mathbf{x}+\mathbf{y}\mathbf{5}=\mathbf{0}\] and \[\mathbf{2x+y9=0,}\] then \[\mathbf{4}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+4xy}\] is equal to
A) 75 done
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B) 85 done
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C) 91 done
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D) 81 done
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question_answer19) The sum of two numbers is 8 and the of squares is 34. The product of the two numbers is
A) 10 done
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B) 8 done
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C) 15 done
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D) 12 done
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question_answer20) The system of equations \[\mathbf{2x}+\mathbf{y}\mathbf{2}=\mathbf{0}\] and \[\mathbf{4x}+\mathbf{2y}\mathbf{4}=\mathbf{0}\] has
A) A unique solution \[x=1,\,\,y=1\] done
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B) A unique solution \[x=0,\,\,y=4\] done
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C) No solution done
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D) Infinite solutions done
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question_answer21) If \[2x+3y\le 6,x\ge 0,y\ge 0,\] then one of the solutions is
A) \[x=2\,\,\text{and }\,y=3\] done
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B) \[x=1\text{ and }y=2\] done
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C) \[x=1\text{ and =1}\] done
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D) \[x=1\text{ and }y=1\] done
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question_answer22) If the sum of a number and its reciprocal is \[\frac{\mathbf{10}}{\mathbf{3}}\], then the numbers are
A) \[3,\frac{1}{3}\] done
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B) \[3,\frac{1}{3}\] done
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C) \[3,\frac{1}{3}\] done
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D) \[3,\frac{1}{3}\] done
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question_answer23) The sum of two numbers is 7 and their product is 12. What is the sum of their reciprocals?
A) \[\frac{1}{12}\] done
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B) \[\frac{1}{7}\] done
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C) \[\frac{7}{12}\] done
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D) \[\frac{7}{15}\] done
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question_answer24) The system of equations \[\mathbf{x}+\mathbf{2y}=\mathbf{3}\] and \[\mathbf{3x+6y=9}\] has
A) Unique solution done
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B) No solution done
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C) Infinitely many solutions done
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D) Unite numbers of solutions done
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question_answer25) On children day, sweets were to be equally distributed among 160 children in a school. Actually on the children?s day 40 children were absent and therefore each child got 10 sweets extra. Total number of sweets were
A) 3200 done
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B) 2400 done
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C) 4000 done
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D) 4800 done
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question_answer26) If \[\left( \mathbf{x},\mathbf{y} \right)=\left( \mathbf{8},\mathbf{2} \right)\] is the solution of the pair of linear equations \[\mathbf{mx}+\mathbf{y}=\mathbf{2x}+\mathbf{m}=\mathbf{10},\]then \[\mathbf{m}+\mathbf{n}\] is equal to
A) 2 done
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B) 1 done
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C) 2 done
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D) 1 done
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question_answer27) If a and b are positive integers, x and y are nonnegative integers and \[\mathbf{a}=\mathbf{bx}+\mathbf{y},\] then which one of the following is correct?
A) \[0\le y<a\] done
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B) \[0<y\le b\] done
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C) \[0<y>b\] done
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D) \[0\le y<b\] done
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question_answer28) The sum of two numbers is 70. If the larger number exceeds five times the smaller by 4, what is the smaller number?
A) 5 done
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B) 11 done
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C) 20 done
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D) 25 done
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question_answer29) If \[\frac{\mathbf{2}}{\mathbf{x}}\mathbf{+}\frac{\mathbf{3}}{\mathbf{y}}\mathbf{=}\frac{\mathbf{9}}{\mathbf{xy}}\] and \[\frac{4}{\mathbf{x}}\mathbf{+}\frac{9}{\mathbf{y}}\mathbf{=}\frac{21}{\mathbf{xy}}\], where, \[x\ne 0\]and \[y\ne 0\], then what is the value of \[\mathbf{x}+\mathbf{y}\]?
A) 2 done
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B) 3 done
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C) 4 done
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D) 8 done
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question_answer30) If 1 is added to the denominator of a fraction, it becomes\[\frac{\mathbf{1}}{\mathbf{2}}\] and if 2 is added to the numerator, the fraction becomes 1. What is the fraction?
A) \[\frac{3}{2}\] done
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B) \[\frac{3}{5}\] done
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C) \[\frac{1}{4}\] done
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D) \[\frac{10}{11}\] done
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