Directions (1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer accordingly.
Q1.
I. 8x+y=10
II. 4x+2y=13
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
Q2.
I. (x+3) (y+2) = 12
II. 2xy+4x+5y=11
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between 'x' and 'y'.
Q3.
I. (3x-2)/y =(3x+6)/(y+16)
II.(x+2)/(y+4) =(x+5)/(y+10)
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between 'x' and 'y'.
Q4.
I. x2+20x+4=50-25x
II. y2-10y-24=0
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between 'x' and 'y'.
Q5.
I. (x^2-10x+16)/(x^2 -12x +24) =2/3
II. y2-y-20=0
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between 'x' and 'y'.
Q6. A, B and C start a business by investing Rs. 1,36,000 and A invests Rs. 20000 more than B while C invests Rs. 4000 less than B. If they earn a profit of Rs. 51, 000 at the end of the year then find dividend of A.
(a) 22500
(b) 28000
(c) 27500
(d) 29500
(d) None of these
Q7. If 5 times of A’s capital, 4 times of B’s capital and 7 times of C’s capital are equal then what will be the ratio of their profits if the capital has been invested for same duration?
(a) 28:35:20
(b) 28:35:10
(c) 28:25:20
(d) 18:35:20
(e) None of these
Q8. Three milk man A, B and C hire a pasture in Rs. 2670. A grazes 4 cows and 3 calves for 5 days, B grazes 5 cows and 4 calves for 3 days while C grazes 6 cows and 5 calves for only 2 days. If one cow grazes three times of a calf, then how much rent will B have to pay.
(a) 846
(b) 856
(c) 755
(d) 855
(e) None of these
Q9. Om, Jain and Jagdish start a business together. Om invests Rs. 5,000 for whole year. Jai invests Rs. 3,000 initially but increases it to 4,000 after 4 months. Jagdish invests Rs. 7,000 initially but takes Rs. 4, 000 back after 8 months. If their total profit at the end of the year is Rs. 34, 400 then what is dividend of Jai?
(a) 9800
(b) 8800
(c) 10800
(d) 7800
(e) None of these
Q10. Ram, Krishna and Ganesh started a business by investing capital in the ratio 5 : 4 : 3. Three months later Ram took back 2/5 of his capital; four months later Krishna took back ¼ part of his capital while Ganesh invested 1/3 part of his initial capital again. After 9 months there was a total profit of Rs. 1920 in the business, then who got the maximum profit and how much?
(a) Ram ,660
(b) Krishna ,660
(c) Ganesh, 660
(d) Ram and Ganesh ,660
(e) None of these
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MAHENDRA GURU