8. I.𝒙𝟐 + 𝟖√𝟑𝒙 + 𝟒𝟓 = 𝟎
II.𝒚𝟐 + 𝟐√𝟑𝒚 − 𝟒𝟓 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

9. I.𝒙𝟐 + 𝟒𝟔𝒙 + 𝟓𝟐𝟖 = 𝟎
II.𝒚𝟐 − 𝒚 − 𝟒𝟐𝟎 = 𝟎


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

10.I.𝒙𝟐 − 𝟑. 𝟒𝒙 + 𝟐. 𝟖 = 𝟎
II.𝟏𝟐𝒚𝟐 = 𝟑𝟑𝟕𝟓 − 𝟑𝒚𝟐


a. 𝒙 > 𝒚
b. 𝒙 < 𝒚
c. 𝒙 ≥ 𝒚
d. 𝒙 ≤ 𝒚
e. 𝐱 = 𝐲 𝐨𝐫 𝐫𝐞𝐥𝐚𝐭𝐢𝐨𝐧 𝐜𝐚𝐧𝐭 𝐛𝐞 𝐞𝐬𝐭𝐚𝐛𝐥𝐢𝐬𝐡𝐞𝐝

#wrong #series

1. 𝟗𝟖𝟗, 𝟏𝟎𝟎𝟖, 𝟗𝟕𝟎, 𝟏𝟎𝟖𝟎, 𝟔𝟐𝟖, 𝟐𝟗𝟎𝟖
a.989
b.1008
c.970
d.2908
e.1080

2. 𝟐𝟒, 𝟏𝟐, 𝟏𝟒, 𝟏𝟖, 𝟑𝟔, 𝟗𝟎
a.14
b.90
c.18
d.36
e.24

3. 𝟓𝟕, 𝟕𝟔, 𝟏𝟏𝟐, 𝟏𝟖𝟔, 𝟑𝟏𝟑, 𝟓𝟏𝟐
a.57
b.112
c.512
d.313
e.186

4. 𝟏𝟎𝟗, 𝟏𝟑𝟐, 𝟑𝟓𝟗, 𝟗𝟖𝟒, 𝟐𝟐𝟎𝟗, 𝟒𝟐𝟑𝟒
a.109
b.984
c.2209
d.132
e.4234

5. 𝟗, 𝟏𝟎, 𝟏𝟖, 𝟒𝟑, 𝟏𝟎𝟗, 𝟐𝟑𝟒
a.10
b.234
c.43
d.109
e.18

6. 𝟔, 𝟖, 𝟏𝟗, 𝟔𝟑, 𝟐𝟒𝟗, 𝟏𝟐𝟓𝟏
a.8
b.19
c.1251
d.249
e.63

7. 𝟗𝟒, 𝟗𝟒𝟓𝟒, 𝟏𝟏𝟑𝟐𝟔, 𝟏𝟏𝟕𝟗𝟒, 𝟏𝟏𝟗𝟒𝟎, 𝟏𝟐𝟎𝟐𝟖
a.11326
b.9454
c.12028
d.11940
e.94

8. 𝟖𝟏, 𝟏𝟏𝟗, 𝟏𝟗𝟗, 𝟑𝟐𝟎, 𝟒𝟖𝟗, 𝟕𝟏𝟏
a.199
b.711
c.489
d.81
e.320

9. 𝟑𝟐, 𝟏𝟔, 𝟒𝟖, 𝟐𝟒, 𝟔𝟎, 𝟏𝟎
a.48
b.24
c.10
d.60
e.32

10.𝟗𝟏, 𝟏𝟎𝟗, 𝟏𝟗𝟎, 𝟒𝟒𝟔, 𝟏𝟎𝟕𝟏, 𝟐𝟑𝟔𝟕
a.446
b.2367
c.91
d.109
e.190

#missing #series


1. 𝟏𝟗, ? , 𝟒𝟗, 𝟏𝟎𝟗, 𝟐𝟐𝟗, 𝟒𝟑𝟗
a.21
b.25
c.29
d.33
e.43

2. 𝟏𝟎𝟏, 𝟓𝟐𝟔𝟏, ? , 𝟖𝟕𝟎𝟏, 𝟖𝟗𝟏𝟔, 𝟖𝟗𝟓𝟗
a.7341
b.7141
c.6741
d.7541
e.7841

3. 𝟔𝟏𝟐𝟎, 𝟑𝟎𝟔𝟎, 𝟏𝟎𝟐𝟎, ? , 𝟓𝟏, 𝟖. 𝟓
a.204
b.408
c.510
d.255
e.170

4. 𝟐𝟗, 𝟒𝟓, ? , 𝟐𝟓𝟑, 𝟓𝟎𝟗, 𝟗𝟎𝟗
a.109
b.99
c.119
d.89
e.129

5. ? , 𝟏𝟖, 𝟑𝟔, 𝟗𝟎, 𝟐𝟕𝟎, 𝟗𝟒𝟓
a.15
b.9
c.12
d.24
e.6

6. 𝟑𝟑, 𝟔𝟑, ? , 𝟏𝟔𝟏, 𝟐𝟑𝟑, 𝟑𝟐𝟑
a.105
b.109
c.113
d.101
e.97

7. 𝟒𝟖, 𝟒𝟗, 𝟓𝟒, 𝟕𝟗, ? , 𝟖𝟐𝟗
a.104
b.204
c.304
d.154
e.184

8. 𝟔𝟗, 𝟏𝟖𝟎, 𝟒𝟎𝟐, ? , 𝟏𝟏𝟕𝟗, 𝟏𝟕𝟑𝟒
a.935
b.835
c.635
d.535
e.735

9. 𝟐𝟔, 𝟑𝟒, ? , 𝟒𝟔, 𝟓𝟔, 𝟔𝟕
a.37
b.45
c.43
d.41
e.39

10.𝟏𝟎𝟓, 𝟏𝟔𝟏, 𝟐𝟕𝟑, ? , 𝟏𝟗𝟓𝟑, 𝟖𝟔𝟕𝟑
a.519
b.549
c.609
d.649
e.709

graph shows the percentage distribution of candidates applied
for an examination and percentage of candidates who qualified Pre – exam from five different states. Read the data and answer the following questions.

Note : The number of candidate who did not qualified Pre – exam from Rajasthan is 1152.

1. The number of candidates who did not qualified Pre – exam from Punjab is how much more or less than number of candidates who did not qualified Pre –exam from West Bengal?

(A)410
(B)411
(C)408
(D)402
(E)None of these

2. The number of candidates from Haryana who did not qualify the Pre – exam is what percent of total number of candidates who did not qualify the Pre – exam from all states?

(A)28.42%
(B)21.47%
(C)28.67%
(D)24.56%
(E)None of these

3. If 25% candidate from Rajasthan who qualified Pre – exam has also qualified Mains exam and 31.25% candidate from West Bengal who qualified Pre –exam has also qualified Mains exam, then the sum of candidates who did not qualified Mains exam from Rajasthan and West Bengal both are what percent more or less than number of candidates from West Bengal who applied for the examination?


(A)22% more
(B)34% less
(C)28% more
(D)35% less
(E)None of these

4. Find the ratio between number of candidates from Rajasthan who qualify the Pre – exam and number of candidates from West Bengal who did not qualify the Pre – exam.

(A)41 : 43
(B)34 : 35
(C)32 : 39
(D)31 : 32
(E)None of these

5. Find the average number of candidates who qualify the Pre – exam from all five states.

(A)1218
(B)1348
(C)1321
(D)1431
(E)None of these

65% of 450 + ?% of 360 = 389.7

A. 25
B. 27
C. 30
D. 28
E. 32

(√? ÷ 2⁴) x 512 = 288

A. 9
B. 8
C. 81
D. 64
E.49

7777.1 x 11 + 3333.1 x 11.01 + 4444.1 x 11.01 - 5555 x 10.99 = ?

A. 78789
B. 87879
C. 85589
D. 99089
E. 109989

472.03 x 91.02 + 336.98 + 472.03 - 137.003 x 7.5003 ÷ 2.45 = ?

A. 43350
B. 44625
C. 48925
D. 49750
E. 47150

3356.007 x 6.001 - 1899.98 + 1128.007 + 429.96 = ? - (45 x 12.01)

A. 24926
B. 20334
C. 26534
D. 29426
E. 26426

√3248 x (4095)⅓ + (19683)⅓ + √2405 = ? - 870.001

A. 1487
B. 1858
C. 1658
D. 1530
E. 1288

119.98 x 12.017 x 90.11 + ? = 159996

A. 30130
B. 30396
C. 32560
D. 31586
E. 30400

22% of 350 - 12% of 50 = ? - 74

A. 125
B. 130
C. 145
D. 165
E. 205

(√4)³x (√16)⁴ ÷ 8² = 2?

A. 8
B. 5
C. 9
D. 7
E. None of these

#quadratic #equations

I. x² – 27x + 152 = 0
II. y² + 7y – 120 = 0

I. x² – 16x + 55 = 0
II. y² – 26y + 165 = 0

I. x² – 14x + 45 = 0
II. y² + 6y – 55 = 0

I. x² – 25x + 150 = 0
II. y² – 18y + 80 = 0

I. x²– 19x + 48 = 0
II. y² +12y - 45 = 0

I. x² + 14x - 95 = 0
II. y² – 16y + 60 = 0

I. x² + 19x + 90 = 0
II. y² + 23y + 132 = 0

I. x² + 11x + 30 = 0
II. y² + 15y + 56 = 0

I. x² – 17x + 52 = 0
II. y² + 8y – 48 = 0

I. x² – 17x + 60 = 0
II. y² – 25y + 156 = 0

@quant_material

#missing #no. #series

45,66,108,171,?,360

(A) 210
(B) 320
(C) 240
(D) 255
(E) None

98,109,122,139,?,181

(A) 178
(B) 140
(C) 158
(D) 192
(E) None

768,192,96,?,72,90
(A) 75
(B) 70
(C) 10
(D) 72
(E) None