IBPS RRB 2016-17 - Quant Quiz-8

Directions (Q. 1-5): In the following questions two equations numbered I and II are given. You have to solve both the equations and give answer if:

1)If X>Y
2)If X<Y
3)If X≥ Y
4)If X≤ Y
5)If X=Y or cannot be established

1. I. 3X2  +23X + 44 = 0
    II. 3Y2 + 20Y +33 = 0

2. I. 2X2  – X – 10 = 0

    II. 2Y2 – Y – 21 = 0

3. I. X2  + 3X + 2 = 0

    II. Y2 + 5Y +6 = 0

4. I. 2X2  – X – 21 = 0

    II.3Y2 + 14Y + 15 = 0

5. I. 2X2  – 5X – 12 = 0

    II. 2Y2 + 11Y + 15 = 0

6. A mixture of 15 ltrs contains two liquids A and B in the ratio 2:1. 5 ltrs is drawn and replaced with 5 ltrs of B, if the same process is repeated again, then find the amount of A at the end of it ?

A. 10

B. 12

C. 15

D. 16

E. None of these

7. Ramesh donates 20% of his salary to charity. On the donation day he changed is his mind and donated Rs 15,000 which is 125% of his previous amount. What is his salary ?

A. Rs 60,000
B. Rs 50,000
C. Rs 40,000
D. Rs 30,000
E. None of these

8. In a batch of 50 students and 8 teachers, gifts were distributed such that each student got 25% of the total teachers and each teacher got 10% of the total students. How many gifts were there ?

A. 150 
B. 145
C. 140
D. 135
E. None of these

9. A train makes four stops each 15 min long to cover a distance of 500 km in 3hrs. If the train is 300m long then find the time it takes to cross a pole ?

A. 4.56 seconds
B. 3.24 seconds
C. 4.32 seconds
D. 3.42 seconds
E. None of these

10. A is 2 years older than B while B is 3 year younger than C. The ratio of age of A, 6 years hence and B, 2 years ago is 5:3. What was age of C, 6 years ago?

A.12 years
B.19 years
C.15 years
D.14 years
E.21 years






                                                  ANSWERS


1. 4

   3x(x+4)+11(x+4)
   X = -4, -11/3
   3y(y+3)+11(y+3)
   Y = -3, -11/3 

2.  5

    X(2x-5) + 2(2x-5) = 0
    X = -2,5/2
    Y(2y-7)+3(2y-7)= 0
    Y= -3,7/2

3. 3

  (x+1)(x+2) = 0

  X= -1,-2
  (Y+2)(y+3) = 0
  Y = -2,-3

4. 5

    2x(x+3) – 7(x+3) = 0
    X = -3,7/2
    3y(y+3) + 5(y+3) = 0
    Y = -3,-5/3

5. 1

    2x(x-4) + 3(x-4) = 0
    X = 4,-3/2
    2y(y+3) + 5(y+3) = 0
    Y = -3,-5/2

6. Initial amount of A = (2/3)*15 = 10

     Initial amount of B = (1/3)*15 = 5

     Amount of A left after 2 withdrawls,

    = 10*[(10-5)/5]^2

    = 10 ltrs

7. Lets assume the salary is 'x'.

Previous charity donation  = 20% of x = 0.2x

New donation = 125% of 0.2x = 0.25x

Now this is equal to Rs 15,000

0.25x = 15000

x = Rs 60,000

8. Number of gifts each student gets = 25% of 8 = 2
     Total gifts to students = 2*50 = 100

Number of gifts to each teacher = 10% of 50 = 5
Total gifts to teachers = 5*8 = 40

Thus total gifts  = (100+40) = 140

9. Lets assume time taken to be 't' seconds
Then speed of the train will be = (300/t) m/sec

Now its also given that the train takes 3hrs to cover a distance of 500 km with the stoppage time being = (15*4) = 60 min = 1 hr
Thus the speed of the train will be,
=500/(3-1) = 250km/hr = (250/3.6)m/sec

Now equating the two,

250/3.6 = 300/t

t = 4.32 seconds

Thus it takes 4.32 seconds to cross a pole.

10. Lets assume C is 'x' yrs
Then B will be (x-3) yrs
And A will be (x-3+2) = (x-1) yrs

Age of A 6yrs hence = x-1+6 = (x+5) yrs
Age of B 2 yrs ago = x-3-2 = (x-5) yrs

Now, ratio of these two is 5:3, so,

5/3 = (x+5)/(x-5)

x = 20 yrs

Age of C 6 yrs ago = x-6 = 14 yrs.

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