Direction (Q.No. 1-5): The graph represents the total productions (in tons) and total sales (in tons) of company A and B of six years.
The below table represents the ratio of production (in tons) of company A and B, and the ratio of sales of company A (in tons) to the sales of company B (in tons):
1. What is the ratio of the production of company B (in tons) in the year 2010 to sales of company A in 2008?
a. 16:164
b. 64:165
c. 33:32
d. 644:165
e. None of these
2. What is the ratio of total production of company B in the year 2008 and 2010 to the sales of company B in the same years?
a. 44:81
b. 81:44
c. 95:81
d. 59:81
e. None of these
3. What is the average sales (in tons) of company B in all over the years?
a. 149.67 tons
b. 146.33 tons
c. 147.67 tons
d. 150.67 tons
e. None of these
4. What is the average production of company B in years – 2008, 2009, 2010?
a. 355.33 tons
b. 343.33 tons
c. 345.33 tons
d. 363.33 tons
e. None of these
5. The sales of company B in the year 2008 is what % of production of company B in the same year?
a. 36.5%
b. 34.5%
c. 38.5%
d. 39.5%
e. None of these
6. A train left from Delhi for Kolkata at 4 pm at an average speed of 80 kmph. At 8 pm, another train also had left from Delhi for Kolkata on a parallel track at an average speed of 120 kmph. How far from Delhi is another train expected to overtake the first train?
a. 940 km
b. 900 km
c. 920 km
d. 980 km
e. 960 km
7. A group of girls contributed eight times as many rupees each for their trip as they were in the number. The total collection came to Rs 6272. How many girls were there in the group?
a. 28
b. 22
c. 32
d. 18
e. None of these
8. Solve the quadratic equation :
I. 18×2 + 18x + 4 = 0
II. 12y2 + 29y + 14 = 0
a. x < y
b. x > y
c. x ≤ y
d. x ≥ y
e. x = y
9. Solve the quadratic equation :
I. 17×2 + 48x = 9
II. 13y2 = 32y – 12
a. x < y
b. x > y
c. x ≤ y
d. x ≥ y
e. x = y
10. Complete the following series :
17 9 ? 16.5 35 90
a. 11
b. 14
c. 19
d. 21
e. None of these
Q1 – OPTION — C
Solution : 600*[11/20] : 500*[16/25] = 33:32
Q2 – OPTION — B
Solution : [480+330] : [180+260] = 81:44
Q3 – OPTION — E
Solution : [140+180+90+260+180+40]/6 = 148.33 tons
Q4 – OPTION — B
Solution : [480+220+330]/3 = 343.33 tons
Q5 – OPTION — E
Solution : [180/480]*100 = 37.5%
Q6 – OPTION — E
Solution : Distance covered by 1st train in 4 hours = 80*4 = 320 km
Relative speed of 2nd train = 120-80 = 40 km
It will overtake another train in 320/40 = 8 hours
Distance between overtake point and station Delhi = 8*120 = 960 km
Q7 – OPTION — A
Solutions : Let number of girls be x.
Each contributed = 8x
Total contribution = 8×2= 6272 ⇒ x2 = 784 ⇒ x = 28
Q8 – OPTION — D
Solution : From 1 —>
18×2 + 18x + 4 = 0
9×2 + 9x + 2 = 0
9×2 + 6x + 3x + 2 = 0
3x (3x + 2) + 1 (3x + 2) = 0
(3x + 1) (3x + 2) = 0
∴x = – 1/3 or –2/3
From 2 —->
12y2 + 29y + 14 = 0
12y2 + 21y + 8y + 14 = 0
3y(4y + 7) + 2(4y + 7) = 0
(3y + 2) (4y + 7) = 0
∴y = –2/3 or –7/4
Clearly x ≥ y
Q9 – OPTION — A
Solution : From 1 —–>
17×2 + 48x – 9 = 0
17×2 + 51x – 3x – 9 = 0
17x (x + 3) – 3 (x + 3) = 0
(x + 3) (17x – 3) = 0
∴x = –3 or 3/17
From 2 —->
13y2 – 32y + 12 = 0
13y2– 26y – 6y + 12 = 0
13y(y – 2) –6 (y – 2) = 0
(y – 2) (13y –6) = 0
∴y = 2 or 6/13
Clearly, x < y
Q10 – OPTION — E
Solution : 17*0.5 + 0.5 = 9
9*1 + 1 = 10
10*1.5 + 1.5 = 16.516.5*2 + 2 = 35
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