Linear Equations Questions and answers

  1. Aptitude
    1. Compound interest
    2. Boat and Stream
    3. Trains
    4. Percentage
    5. Discount
    6. Mixture and Allegation
    7. Unitary Method
    8. Work and Wages
    9. Pipes and Cisterns
    10. Linear Equations
    11. Approximation
    12. Word problems
    13. Number System
    14. Time and Distance
    15. Average
    16. Ratio and Proportions
    17. Profit and Loss
    18. Partnership
    19. Permutation and combination
    20. Probability
    21. Problem on ages
    22. Time and work
    23. Simple and compound interest
    24. Mensuration
    25. Number series
11). Ten chairs and six tables together cost Rs.6200, three chairs and two tables together cost Rs.1900. The cost of 4 chairs and 5 tables is
A). Rs.3000
B). Rs.3300
C). Rs.3500
D). Rs.3800
12). The system of equations 3x + y - 4 = 0 and 6x + 2y - 8 = 0 has
A). a unique solution x = 1, y=1
B). a unique solution x = 0, y = 4
C). no solution
D). infinite solutions
13). If x+ y - 7 = 0 and 3x + y -13 = 0, then what is \( \Large 4x^{2} + y^{2} + 4xy\) equal to?
A). 75
B). 85
C). 91
D). 100
14). The solution of the equations \( \Large \frac{p}{x}+\frac{q}{y} \  and  \  \frac{q}{x}+\frac{p}{y} \) n is
A). \( \Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{p^{2}-q^{2}}{np-mq} \)
B). \( \Large x=\frac{p^{2}-q^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq} \)
C). \( \Large x=\frac{p^{2}-q^{2}}{mp-nq}, y=\frac{p^{2}-q^{2}}{np-mq} \)
D). \( \Large x=\frac{q^{2}-p^{2}}{mp-nq}, y=\frac{q^{2}-p^{2}}{np-mq} \)
15). If \( \Large \frac{3}{x+y}+\frac{2}{x-y}=2 \) and \( \Large \frac{9}{x+y}-\frac{4}{x-y}=1 \), then what is the value of \( \Large \frac{x}{y} \)?
A). \( \Large \frac{3}{2} \)
B). 5
C). \( \Large \frac{2}{3} \)
D). \( \Large \frac{1}{5} \)


16). If \( \Large \frac{a}{b}-\frac{b}{a}=\frac{x}{y} \) and \( \Large \frac{a}{b}+\frac{b}{a}= x - y \) , then what is the value of x?
A). \( \Large \frac{a+b}{a} \)
B). \( \Large \frac{a+b}{b} \)
C). \( \Large \frac{a-b}{a} \)
D). None of these
17). If \( \Large \frac{x}{2}+\frac{y}{3}=4 \) and \( \Large \frac{2}{x}+\frac{3}{y}=1 \) then what is x + y equal to?
A). 11
B). 10
C). 9
D). 8
18). For the two given equations I and II.

I. \( \Large p^{2} \)+ 5p + 6 = 0

II.\( \Large q^{2} \) + 3q + 2 = 0

A). p is greater than q
B). p is smaller than q.
C). p is equal to q.
D). p is either equal to or smaller than q.
19). For the two given equations I and II.

I. \( \Large p^{2} \) = 4

II. \( \Large q^{2} \) + 4q = - 4

A). p is greater than q
B). p is smaller than q.
C). p is equal to q.
D). p is either equal to or greater than q.
20). For the two given equations I and II.

I. \( \Large p^{2} \) + p = 56

II. \( \Large q^{2} \) - 17 q + 72 = 0

A). p is greater than q
B). p is smaller than q.
C). p is equal to q.
D). p is either equal to or greater than q.
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