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 If
(1) x< y = z
(2) x < y < z
(3) x < y > z
(4) x = y > z
(5) x = y = z or if none of the above relationship is established
1.
I. 7x + 6y + 4z = 122
II. 4x + 5y + 3z = 88
III. 9x + 2y + z = 78
2.
I. 7x + 6y =110
II. 4x + 3y = 59
III. x + z = 15
3.
I. x = ([(36)^(1/2)×(1296)^(1/4) ] )^(1/2)
II. 2y + 3z = 33
III. 6y + 5z = 71
4.
I. 8x + 7y= 135
II. 5x + 6y = 99
III. 9y + 8z = 121
5.
I. (x + y)^3= 1331
II. x - y + z = 0
III. xy = 28
Directions (6-9) : What should come in place of the question mark (?) in the following series ?
6. 19 68 ? 129 145 154
(1) 154
(2) 129
(3) 145
(4) 104
(5) None of these
7. 0 5 18 43 84 145 ?
(1) 220
(2) 240
(3) 260
(4) 280
(5) None of these
8. 10 17 48 165 688 3475 ?
(1) 27584
(2) 25670
(3) 21369
(4) 20892
(5) None of these
9. 1 3 24 360 8640 302400 ?
(1) 14525100
(2) 154152000
(3) 14515200
(4) 15425100
(5) None of these
10.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
11.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
12.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
13.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
14.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
15.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
Answers.
