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Quantitative Aptitude Practice Algebra Study Material

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Simple Equations

Ritu can row downstream 20km in 2 hours, and upstream 4km in 2 hours. Find her speed of rowing in still water and the speed of current.

a) 6km/h and 5km/h
b) 6km/h and 4km/h
c) 5km/h and 6 km/h
d) 5km/h and 4 km/h

✔Answer

Correct Answer Is : 6km/h and 4km/h

Solution Is :

2 women and 5 men together finish a work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken be 1 man alone.

a) 18 days and 36 days
b) 18 days and 34 days
c) 18 days and 32 days
d) 18 days and 38 days

✔Answer

Correct Answer Is : 18 days and 36 days

Solution Is :

Solve : √(x∧2+x-6) - x+2 = √(x∧2-7x+10)

a) 2, 4
b) 2, 3
c) 3, 2
d) 6, 2

✔Answer

Correct Answer Is : 6, 2

Solution Is :

Two friends, Neha and Rita.Neha is carrying a square tray of eggs, while Rita is carrying a stack of four such trays.Clumsily, they tripped on an uneven road.Neha stumbled, his tray toppled, and all his eggs got smashed.However, John somehow managed to save some of his eggs, and only one row from each tray fell down.Given that the total number of eggs that fell down is 77. How do you calculate the number of eggs on each tray?

a) 47 .
b) 49
c) 51
d) 53

✔Answer

Correct Answer Is : 49

Solution Is :

Solve : 3/x + 5/y =12 and 4/x - 6/y = 4.

a) X=19/45, y=17/18
b) X=18/46, y=19/22
c) X=19/46, y=19/18
d) X=19/44, y=19/17

✔Answer

Correct Answer Is : X=19/46, y=19/18

Solution Is :

Solve x∧6-9x∧3+8=0.

a) X=1,2
b) X=2,3
c) X=1,3
d) X=2,4

✔Answer

Correct Answer Is : X=1,2

Solution Is :

Solve : x∧(-4)-7x∧(-2)-18=0.

a) X=±(1/ √2), ±(1/3)
b) X=±(1/ 2), ±(1/3)
c) X=±(1/ √2), ±(1/ √3)
d) X=±(1/ 3), ±(1/4)

✔Answer

Correct Answer Is : X=±(1/ √2), ±(1/3)

Solution Is :

Solve : 4x∧(2/3)+21x∧(1/3)+27=0.

a) X=-(729/64), -27
b) X=-(727/64), -27
c) X=-(727/64), -25
d) X=-(729/64), -29

✔Answer

Correct Answer Is : X=-(729/64), -27

Solution Is :

Solve : x∧8-6x∧4+7=0

a) X=1.1222, 1.4495
b) X=1.3222, 1.4495
c) X=1.1222, 1.5495
d) None of these

✔Answer

Correct Answer Is : X=1.1222, 1.4495

Solution Is :

Solve :(2/x∧2)+(17/x)+21=0.

a) X=-(2/3), -(1/7)
b) X=-(1/3), (1/7)
c) X=-(/3), -(2/7)
d) None of these

✔Answer

Correct Answer Is : X=-(2/3), -(1/7)

Solution Is :

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Quantitative Aptitude Practice Algebra Study Material

Simple Equations

Ritu can row downstream 20km in 2 hours, and upstream 4km in 2 hours. Find her speed of rowing in still water and the speed of current.

Correct Answer Is : 6km/h and 4km/h

Solution Is :

2 women and 5 men together finish a work in 4 days, while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone to finish the work, and also that taken be 1 man alone.

Correct Answer Is : 18 days and 36 days

Solution Is :

Solve : √(x∧2+x-6) - x+2 = √(x∧2-7x+10)

Correct Answer Is : 6, 2

Solution Is :

Correct Answer Is : 49

Solution Is :

Solve : 3/x + 5/y =12 and 4/x - 6/y = 4.

Correct Answer Is : X=19/46, y=19/18

Solution Is :

Solve x∧6-9x∧3+8=0.

Correct Answer Is : X=1,2

Solution Is :

Solve : x∧(-4)-7x∧(-2)-18=0.

Correct Answer Is : X=±(1/ √2), ±(1/3)

Solution Is :

Solve : 4x∧(2/3)+21x∧(1/3)+27=0.

Correct Answer Is : X=-(729/64), -27

Solution Is :

Solve : x∧8-6x∧4+7=0

Correct Answer Is : X=1.1222, 1.4495

Solution Is :

Solve :(2/x∧2)+(17/x)+21=0.

Correct Answer Is : X=-(2/3), -(1/7)

Solution Is :

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