Direction (Q.1-5) :What should come at the place of question mark (?) in the following questions?
Q.1 27.5% of 250-121×4÷176×√529 = ?
A. 6
B. 5.5
C. 7.5
E. None of these
Q.2
A. 2080
B. 3000
C. 3040
D. 2880
E. None of these
Q.3 √(1089) ×121×∛(64) ÷528÷√(1331) +216-130.75 = ?
A. 90
B. 75
C. 65
D. 50
E. 88
Q.4 ?% of 630-70% of 1296 = 121.8
A. 163.33
B. 170
C. 183.3
D. 175.5
E. 166.25
Q.5
A. 3
B. 5.5
C. 3.5
D. 5
E. None of these.
Direction (Q.6-10) :What should come at the place of question mark (?) in the following number series?
Q.6 13, 25, 49, ?, 193, 385
A. 72
B. 110
C. 85
D. 97
E. None of these
Q.7 19, 23, 32, 48, ?, 109
A. 73
B. 86
C. 65
D. 36
E. None of these
Q.8 16, 36, 69, 114, ?, 236
A. 150
B. 170
C. 123
D. 165
E. None of these
Q.9 8, 4, ?, 6, 12, 30
A. 6
B. 8
C. 4
D. 7
E. None of these
Q.10 10, 22, 39, 61, 88, ?
A. 109
B. 106
C. 125
D. 110
E. None of these
Direction (Q.10-15) : In each of these questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer carefully:
Q.11
I. x2-10x+24 = 0
II. y2+2y-15 = 0
A. x≤y
B. x<y
C. x≥y
D. x>y
E. x=y or no relationship
Q.12
I. x2-12x+20 = 0
II. y2+2y-8 = 0
A. x≤y
B. x<y
C. x≥y
D. x>y
E. x=y or no relationship
Q.13
I. x2-11x-26 = 0
II. y2+8y+15 = 0
A. x≤y
B. x<y
C. x≥y
D. x>y
E. x=y or no relationship
Q.14
I. x2+16x+60 = 0
II. y2+12y+32 = 0
A. x≤y
B. x<y
C. x≥y
D. x>y
E. x=y or no relationship
Q.15
I. x2 = 144
II. y = √169
A. x≤y
B. x<y
C. x≥y
D. x>y
E. x=y or no relationship
15. E.
Explanation:
1. 27.5% of 250-121×4÷176×√529 = ?
55% of 125-121×4÷176×23 = ?
68.75-63.25 = ?
? = 5.5
2.
(3441.25-6423.75+3742.50)/(8+31-26) = ?/52
760/13 = ?/52
? = 3040
3. √(1089) ×121×∛(64) ÷528÷∛(1331) +216-130.75 = ?
33 ×121×4 ÷528÷11 +216-130.75 = ?
2.75+216-130.75 = ?
? = 88
4. ?% of 630-70% of 1296 = 121.8
?% of 630 = 121.8+907.2
?% of 630 = 1029
? = 163.33
5.
(2+5-3+1-3) +3/4+4/8-5/12+3/4-1/12 = ?
2+(18+12-10+18-2)/24 = ?
2+3/2 = ?
? = 3.5
6. 13, 25, 49, ?, 193, 385
13×2-1 = 25
25×2-1 = 49
49×2-1 = 97
97×2-1 = 193
193×2-1 = 385
7. 19, 23, 32, 48, ?, 109
19+4 = 23
23+9 = 32
32+16 = 48
48+25 = 73
73+36 = 109
8. 16, 36, 69, 114, ?, 236
16+(20) = 36
36+(20+13) = 69
69+(33+12) = 114
114+(45+11) = 170
170+(56+10) = 230
9. 8, 4, ?, 6, 12, 30
8×.5 = 4
4×1 = 4
4×1.5 = 6
6×2 = 12
12×2.5 = 30
10. 10, 22, 39, 61, 88, ?
10+12 = 22
22+(12+5) = 39
39+(17+5) = 61
61+(22+5) = 88
88+(27+5) = 120
11.
x2-10x+24 = 0
x2-(6+4)x+24 = 0
x2-6x-4x+24 = 0
x(x-6)-4(x-6) = 0
(x-6)(x-4) = 0
x = 4, 6
y2+2y-15 = 0
y2+(5-3)y-15 = 0
y2+5y-3y-15 = 0
y(y+5)-3(y+5) = 0
(y+5)(y-3) = 0
y = -5, 3
x>y
x2-12x+20 = 0
x2-(10+2)x+20 = 0
x2-10x-2x+20 = 0
x(x-10)-2(x-10) = 0
(x-10)(x-2) = 0
x = 10, 2
y2+2y-8 = 0
y2+(4-2)y-8 = 0
y2+4y-2y-8 = 0
y(y+4)-2(y+4) = 0
(y+4)(y-2) = 0
y = -4, 2
x≥y
13.
x2-11x-26 = 0
x2-(13-2)x-26 = 0
x2-13x+2x-26 = 0
x(x-13)+2(x-13) = 0
(x+2)(x-13) = 0
x = -2, 13
y2+8y+15 = 0
y2+(5+3)y+15 = 0
y2+5y+3y+15 = 0
y(y+5)+3(y+5) = 0
(y+5)(y+3) = 0
y = -5, -3
x≥y
14.
x2+16x+60 = 0
x2+(10+6)x+60 = 0
x2+10x+6x+60 = 0
x(x+10)+6(x+10) = 0
(x+10)(x+6) = 0
x = -6, -10
y2+12y+32 = 0
y2+(8+4)y+32 = 0
y2+8y+4y+32 = 0
y(y+8)+4(y+8) = 0
(y+8)(y+4) = 0
y = -4, -8
x=y
15.
x2 = 144
x = √144
x = ± 12
y = √169
y=13
x<y
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