Directions (1-5): In the following questions three equations numbered I, II and III are given. You have to solve all the equations either together or separately, or two together and one separately, or by any other method and give answer

Q1.
I. 7x + 6y + 4z = 122
II. 4x + 5y + 3z = 88
III. 9x + 2y + z = 78
(a) x< y = z
(b) x < y < z
(c) x < y > z
(d) x = y > z
(e) x = y = z or if none of the above relationship is established

Q2.
I. 7x + 6y =110
II. 4x + 3y = 59
III. x + z = 15
(a) x< y = z
(b) x < y < z
(c) x < y > z
(d) x = y > z
(e) x = y = z or if none of the above relationship is established

Q3.
I. x = ((36)1/2 × (1296)1/4)1/2)
II. 2y + 3z = 33
III. 6y + 5z = 71
(a) x< y = z
(b) x < y < z
(c) x < y > z
(d) x = y > z
(e) x = y = z or if none of the above relationship is established

Q4.
I. 8x + 7y= 135
II. 5x + 6y = 99
III. 9y + 8z = 121
(a) x< y = z
(b) x < y < z
(c) x < y > z
(d) x = y > z
(e) x = y = z or if none of the above relationship is established

Q5.
I. (x + y)3= 1331
II. x - y + z = 0
III. xy = 28
(a) x< y = z
(b) x < y < z
(c) x < y > z
(d) x = y > z
(e) x = y = z or if none of the above relationship is established

Directions (6-9): What should come in place of the question mark (?) in the following series ?

Q6. 19    68   ?   129   145   154
(a) 154
(b) 129
(c) 145
(d) 104
(e) None of these

Q7. 0   5    18   43   84    145   ?
(a) 220
(b) 240
(c) 260
(d) 280
(e) None of these

Q8. 10    17    48    165    688    3475    ?
(a) 27584
(b) 25670
(c) 21369
(d) 20892
(e) None of these

Q9. 1    3    24    360    8640     302400    ?
(a) 14525100
(b) 154152000
(c) 14515200
(d) 15425100
(e) None of these

Q10. The area of a rectangle is 4 times the area of a square. The area of the square is 729 sq cm and the length of the rectangle is 81 cm. What is the difference between the side of the square and the breadth of the rectangle?
(a) 18 cm
(b) 27 cm
(c) 24 cm
(d) 9 cm
(e) None of these

Q11. Sohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children’s education and 16% on recreation. He deposits the remaining amount of Rs. 504 in bank. How much total amount does he spend on food and insurance policy together?
(a) Rs. 3200
(b) Rs. 3126
(c) Rs. 3136
(d) Rs. 3048
(e) None of these

Q12. A merchant earns a profit of 20% by selling a basket containing 80 apples whose cost is Rs. 240 but he gives one-fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit, at what price must he sell each apple?
(a) Rs. 3.00
(b) Rs. 3.60
(c) Rs. 3.80
(d) Rs. 4.80
(e) None of these

Q13. In a ward-robe, Nitish has 3 trousers. One of them is black, second is blue and third brown. In this ward-robe, he has 4 shirts also. One of them is black and the other 3 are white. He opens his ward-robe in the dark and picks out one shirt-trouser pair without examining the colour. What is the likelihood that neither the shirts nor the trousers are black?
(a)1/12
(b)1/6
(c)1/4
(d)1/2
(e)None of these

Q14. A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/h and the other one walks at 5.4 km/h. The train needs 8.4 s and 8.5 s respectively, to overtake them. What is the speed of the train, if both the persons are walking in the same directions as the train?
(a) 66 km/h
(b) 72 km/h
(c) 78 km/h
(d) 81 km/h
(e) None of these

Q15. Two cars A and B are running towards each other from two different places 88 km apart. If the ratio of the speeds of the cars A and B is 5 : 6 and the speed of the car B is 90 km/h, after what time will they meet each other?
(a) 38 min
(b) 39 min
(c) 45 min
(d) 32 min
(e) None of these