Directions: What value should come in place of question mark (?) in the following number series?
1. 56, 496, 3466, 17326, ?
1) 51976
2) 51876
3) 52496
4) 51986
5) 52986
2. 25, 30, 66, 211.2, 887.04, ?
1) 4602.608
2) 4632.518
3) 4642.548
4) 4612.508
5) 4612.608
3. 132, 156, 182, 210, ?
1) 272
2) 240
3) 265
4) 260
5) 280
4. 227, 200, 173, 146, ?
1) 121
2) 118
3) 119
4) 123
5) 117
Directions (Q. 5 – 8): In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answers:
1) if x > y
2) if x >= y
3) if x < y
4) if x <= y
5) if x = y or relationship between x and y cannot be determined.
5.
I. sqroot(6x^2) + {4 + sqroot(15)}x + 2 sqroot(10) = 0
II. y^2 – { sqroot(6) + sqroot(5)}y + sqroot(30) = 0
6.
I. 55x^2 + 53x + 12 = 0
II. 48y^2 – 24y + 3 = 0
7.
I. x^2 – 25x+ 114 = 0
II. y^2 – 10y + 24 = 0
8.
I. 8x^2 + 42x + 27 = 0
II. 15y^2 + 43y + 30 = 0
Directions (Q. 9 – 10): What approximate value should come in place of question mark (?) in the following questions?
9. 6189 × 958.98 ÷ 240.01 = ?
1) 24800
2) 20800
3) 29800
4) 27800
5) 26800
10. 1398% of 129 + 1434.85 = ?
1) 4255
2) 3855
3) 2855
4) 3255
5) 2255
ANSWERS:
1.1;
The series is:
6 × 11 – 10 = 56
56 × 9 – 8 = 496
496 × 7 – 6 = 3466
3466 × 5 – 4 = 17326
? = 17326 × 3 – 2 = 51976
2. 5;
The series is:
25 × 1.2 = 30
30 × 2.2 = 66
66 × 3.2 = 211.2
211.2 × 4.2 = 887.04
? = 887.04 × 5.2 = 4612.608
3. 2;
The series is: (11)^2 + 11, (12)^2 + 12, (13)^2 + 13,
121 + 11 = 132
144 + 12 = 156
169 + 13 = 182
196 + 14 = 210
? = 225 + 15 = 240
4. 3;
The series is:
(28 × 8) + 3 = 227
(28 ×7) + 4 = 200
(28 × 6) + 5 = 173
(28 × 5) + 6 = 146
? = ( 28 × 4) + 7 = 119
5. 3;
I. sqroot(6x^2) + 4x + sqroot(15x) + 2sqroot(10) = 0
{sqroot(2)x + sqroot(5)x} {sqroot(3)x + 2 sqroot(2)} = 0
x = -sqroot(5)/sqroot(2) , -2 sqroot(2)/sqroot(3)
II. y^2 – sqroot(6)y – sqroot(5)y + sqroot(30) = 0
{y – sqroot(5)} {y – sqroot(6)} = 0
y = sqroot(5), sqroot(6)
y > x
6. 3;
I. 55x^2 + 33x + 20x + 12 = 0
(11x + 4) (5x + 3) = 0
x = -4/11, -3/5
II. 48y^2 – 12y – 12y + 3 = 0
(12y – 3) (4y –1) = 0
y = 3/12, 1/4 = 1/4, 1/4
y > x
7.2;
I. x^2 – 6x – 19x + 114 = 0
(x – 19) (x – 6) = 0
x = 19, 6
II. y^2 – 6y – 4y + 24 = 0
(y – 6) (y – 4) = 0
y = 6, 4
x >= y
8. 5;
I. 8x^2 + 6x + 36x + 27 = 0
(2x + 9) (4x + 3) = 0
x = -9/4, -3/4
II. 15y^2 + 18y + 25y +30 = 0
(3y + 5) (5y + 6) = 0
y = -5/3, -6/5
Relationship between x and y cannot be established.
9. 1;
? = 6200 × 960 ÷ 240 = 24800
10. 4;
? = 1400/100 * 130 + 1435
= 1820 + 1435 = 3255