|
1 . |
Direction (Q. 1-5): In each of the following number series, a wrong number is given. Find out that number.
1,12,31,63,101,156,227
|
|
|
Answer & Explanation
|
Answer : Option
B
|
|
| Explanation : |
|
|
The number should be 60.
+32 + 2, +42 + 3, +52 + 4...........
|
|
|
|
|
|
|
|
|
|
2 . |
4,9,28,99,415,2105,12660
|
|
|
Answer & Explanation
|
Answer : Option
D
|
|
| Explanation : |
|
|
The number should be 416.
x 1 + 5, x 2 + 10, x 3 + 15, x 4 + 20........
|
|
|
|
|
|
|
|
|
|
3 . |
7,26,64,124,215,342,511
|
|
|
Answer & Explanation
|
Answer : Option
B
|
|
| Explanation : |
|
|
The number should be 63.
(1 x 2 x 3) + 1, (2 x 3 x 4) + 2, (3 x 4 x 5) + 3 .......
|
|
|
|
|
|
|
|
|
|
4 . |
9,28,63,120,205,323,483
|
|
|
Answer & Explanation
|
Answer : Option
D
|
|
| Explanation : |
|
|
The number should be 324..
1 x 22 + 5, 2 x 32 + 10, 3 x 42 + 15, 4 x 52 + 20 ..........
|
|
|
|
|
|
|
|
|
|
5 . |
26,57,102,164,250,366,518
|
|
|
Answer & Explanation
|
Answer : Option
A
|
|
| Explanation : |
|
|
The number should be 58.
13 + 25, 23 + 50, 33 + 75, 43 + 100 ........
|
|
|
|
|
|
|
|
|
|
6 . |
Direction (Q. 6-10): Iwo equations (1) and (II) are given in each question. On the basis of these equations you have to decide the relation between 'x' and 'y'.
l. 6x2 - 19x + 15 = 0 ll. 10y2 - 29y + 21 = 0
|
|
|
Answer & Explanation
|
Answer : Option
A
|
|
| Explanation : |
|
|
6x2 - 9x - 10x + 15 = 0
or, 3x(2x - 3) - 5 (2x - 3) = 0
or, (3x - 5) (2x - 3) = 0
∴ x =5/3, 3/2
ll. 10y2 - 15y - 14y + 21 = 0
or, 5y(2y - 3) - 7 (2y - 3) = 0
or, (5y - 7) (2y - 3) = 0
∴ y = 7/5, 3/2
∴ x > y
|
|
|
|
|
|
|
|
|
|
7 . |
l. 12x2 + 11x - 56 = 0 ll. 4y2 - 15y + 14 = 0
|
|
|
Answer & Explanation
|
Answer : Option
B
|
|
| Explanation : |
|
|
12x2 + 32x - 21x - 56 = 0
or, 4x(3x + 8) - 7 (3x + 8) = 0
or, (4x - 7) (3x + 8) = 0
∴ x = 7/4, -8/3
ll. 4y2 - 8y - 7y + 14 = 0
or, 4y(y - 2) 7(y - 2) = 0
or, (4y - 7) (y - 2) = 0
∴ y = 2, 7/4
∴ x < y
|
|
|
|
|
|
|
|
|
|
8 . |
l. 3x2 + 13x + 12 = 0 ll. y2 + 9y + 20 = 0
|
|
|
Answer & Explanation
|
Answer : Option
A
|
|
| Explanation : |
|
|
3x2 + 9x + 4x + 12 = 0
or, 3x(x + 3) + 4 (x + 3) = 0
or, (3x + 4) (x + 3) = 0
∴ x = -4/3, -3
ll. y2 + 5y + 4y + 20 = 0
or, y(y + 5) + 4 (y + 5) = 0
or, (y + 4) (y + 5) = 0
y = 4, 5
∴ x > y
|
|
|
|
|
|
|
|
|
|
9 . |
l. 8x2 - 15x + 7 = 0 ll. 2y2 - 7y + 6 = 0
|
|
|
Answer & Explanation
|
Answer : Option
B
|
|
| Explanation : |
|
|
l. 8x2 - 8x - 7x + 7 = 0
or, 8x(x - 1) - 7 (x - 1) = 0
or, (8x - 7) (x - 1) = 0
∴ x = 7/8, 1
ll. 2y2 - 4y - 3y + 6 = 0
or, 2y(y - 2) - 3 (y - 2) = 0
or, (y - 2) (2y - 3) = 0
∴ y = 2, 3/2
|
|
|
|
|
|
|
|
|
|
10 . |
l. 7x - 3y = 13 ll. 5x + 4y = 40
|
|
|
Answer & Explanation
|
Answer : Option
B
|
|
| Explanation : |
|
|
Eqn (I) x 4 + Eqn (II) x 3
28x - 12y = 52
15x + 12y = 120
43x = 172
∴ x = 4 and y = 5
∴ x < y
|
|
|
|
|
|
|
|
|
|
