Quant Test for IBPS Clerk 2018 Prelim Exam Set – 04

Directions(1-5): Find the relation between p and q and choose a required answer.

1. I. 2p^2 – 7p + 3 = 0
   II. 4q^2 + 3q – 1= 0
   q>p
   p>=q
   p>q
   No relation.
   q>=p
   Option C
   I. 2p^2 – 6p – p + 3 = 0
   =>2p(p – 3) -1(p – 3) = 0
   => (2p – 1)(p- 3) = 0
   p = 1/2,3
   II. 4q^2 + 4q – q – 1 = 0
   => 4q(q + 1) -1(q + 1) = 0
   =>(4q – 1)(q + 1) = 0
   q = 1/4 ,-1
   p > q

    

2. I. p^2 – 5p + 6 = 0
   II. q^2 – 3q + 2 = 0
   q>=p
   q>p
   p>=q
   No relation.
   p>q
   Option C
   I. p^2 – 3p – 2p + 6 = 0
   =>p(p – 3) -2(p – 3) = 0
   =>(p – 2)(p – 3) = 0
   p = 2, 3
   II. q^2 – 2q – q + 2 = 0
   =>q(q – 2) -1(q – 2) = 0
   =>(q – 1)(q – 2) = 0
   q = 1, 2
   p >= q

    

3. I. p^2 + 11p + 30 = 0
   II. q^2 – 11q + 30 = 0
   p>q
   No relation.
   q>=p
   p>=q
   q>p
   Option E
   I.p^2 + 6p + 5p + 30 = 0
   =>p(p + 6) +5(p + 6) = 0
   =>(p + 5) (p + 6) = 0
   p = -5, -6
   II. q^2 – 6q – 5q + 30 = 0
   =>q(q – 6) -5(q – 6) = 0
   =>(q – 6) (q – 5) = 0
   q = 5, 6
   p < q

    

4. I. p^2 – 169 = 0
   II. q^2 – 289 + 195 = 0
   q>=p
   p>q
   p>=q
   q>p
   No relation.
   Option A
   I. p^2 = 169
   p = 13
   II. q^2 – 15q – 13q + 195 = 0
   =>q(q – 15) – 13(q – 15) = 0
   =>(q – 13)(q – 15) = 0
   q = 13, 15
   q>=p

    

5. I. 4p^2 – p – 3 = 0
   II. 2q^2 + q – 1 = 0
   p>=q
   No relation.
   q>p
   p>q
   q>=p
   Option B
   I. 4p^2 – 4p + 3p – 3 = 0
   =>4p(p -1)+ 3(p – 1) = 0
   =>(4p + 3) (p – 1) = 0
   p = 1, -3/4
   II. 2q^2 + 2q – q – 1 = 0
   =>2q(q + 1) -1(q + 1) = 0
   =>(q + 1)(2q – 1) = 0
   q = 1/2, -1
   No relation.

    

Directions(6-10):Following graph shows the ratio of imports to exports of two companies A and B during the year 2008 – 2013.



6. If the exports of Company A in the year 2011 was Rs. 10 lakhs, then what would be the value of imports in the same year for Company B?
   45
   37
   48
   50
   Can’t be determined.
   Option E
   Can’t be determined.

    

7. If the imports of Company A in the year 2010 and the exports of Company B in the year 2011 were Rs. 60 lakhs and Rs. 50 lakh respectively, then what is the ratio of the imports of Company A in the year 2010 to that of Company B in the year 2011?
   6:5
   4:3
   5:2
   7:5
   2:3
   Option B
   Import of A/Export of A = 1.2
   Import of A = 60 lakhs
   Import of B/ Export of B = 0.9
   Export of B = 50 lakhs
   Import of B = 0.9 × 50 = 45 lakhs
   Ratio = 4/3

    

8. If the imports of Company A in 2011 was Rs 80 lakhs and the exports of Company B in 2010 was Rs 180 lakhs, then by what percentage was the imports of Company B in 2010 more than the exports of Company A in 2011?
   10%
   7%
   8%
   6%
   12%
   Option C
   For A (2011) I/E = 0.8
   E = 80/0.8 = 100 lakhs
   For B (2010)
   I/E = 0.6
   I = 0.6 × 180 = 108 lakhs
   Required% = [108-100]/100*100 = 8%

    

9. In which of the years was the imports of Company A the maximum?
   2010
   2008
   2012
   Can’t be determined.
   2013
   Option D
   Can’t be determined.

    

10. The ratio of imports to exports of Company A in the year 2009 was what percentage more than that Company in the same year?
    10%
    40%
    20%
    30%
    50%
    Option C
    Required% = [0.9-0.75]/0.75*100 = 20%