Q.1 What value will come in place of question mark(?) in the following questions?
(35)2 + (30)2 + (40)2 = ?
1. 3706
2. 3735
3. 3725
4. 3752
5.
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3713Ans. 3725
Solution:
(35)2 + (30)2 + (40)2 = ?
= 1225 + 900 + 1600
= 3725
Q.2 What value will come in place of question mark(?) in the following questions?
2660 / 95 = ? + 22
1.3
2.11
3.-4
4.-3
5.6
Ans. 6
Solution:
? = 2660 \ 95 – 22
= 28 – 22
= 6
Q.3 What value will come in place of question mark (?) in the following question?
58/264 X 88/348 X ? = 11
1.188
2.202
3.204
4.198
5.210
Ans. 198
Solution:
? = (11 x 348 x 264)/(58 x 88)
= 11 x ( 348/58) x (264/88) = 11 x 6 x 3 = 198
Q.4 What value will come in place of question mark ? in the following question?
√2916 + √4761 – √7921 = ?
1.42
2.41
3.31
4.34
5.35
Ans. 34
Solution:
54 = 2916, 69 = 4791, 89 = 7921
? = √2916 + √4761 – √7921
= 54 + 69 – 89 = 34
Q.5 Find the wrong term in the series given below.
10, 41,168,667,2672,10693
1.168
2.2672
3.41
4.10
5.667
Ans. 168
Solution:
The pattern is as follows
10 x 4 + 1 = 41
41 x 4 + 2 = 166
166 x 4 + 3 = 667
667 x 4 + 4 = 2672
2672 x 4 + 5 = 10693
Q.6 Find the wrong term in the series given below.
1538, 1178, 866, 602, 386, 216
1.1178
2.386
3.866
4.602
5.216
Ans. 216
Solution:
First we find the difference,
1538 – 1178 = 360
1178 – 866 = 312
866 – 602 = 264
602 – 386 = 216
Second difference,
360 – 312 = 48
312 – 264 = 48
264 – 216 = 48
216 – 170 = 46
So, 218 should be in place of 216.
Hence, option e.
Q.7 Find the wrong term in the series given below.
570, 282, 138, 54, 30, 12, 3
1.12
2.282
3.54
4.30
5.138
Ans. 54
Solution:
Logic for the given series:
(570/2) – 3 = 282
(282 / 2) – 3 = 138
(138 / 2) – 3 = 66
(66 / 2 ) – 3 = 30
(30/2) – 3 = 12
(12/2) – 3 = 3
SO, wrong term = 54
Q.8 Find the wrong term in the series given below.
10, 36, 69, 117, 180, 260
1.10
2.36
3.180
4.117
5.69
Ans. 36
Solution:
The pattern in as follows:
10 + (52 – 1) = 34
34 + (62 – 1) = 69
69 + (72 – 1) = 117
117 + (82 – 1) = 180
180 + (92 – 1) = 260
Q.9 In the following questions two equations numbered I and Il are given. You have to solve both the equations and choose the correct option.
1. x2 +26x +165 = 0
2.
Y2 +38y +345 = 0
1.
×
2.
x > y
3. X ≤ Y
4. x≥ y
5. X = y or relationship cannot be established
Ans. x≥ y
Solution:
From equation 1.
x2 +26x +165 = (x+11)(x + 15) =0
-
X = -11, -15
From equation 2:
Y2 + 38 y + 345 = (y+15)(y + 23)=0
-
Y = -15, -23
|
|
X = -11 |
X = -15 |
|
Y= -15 |
X > y |
X = y |
|
Y= -23 |
X >y |
X > y |
So , x ≥ y
Q.10 In the following questions two equations numbered 1 and 2 are given. You have to solve both the equations and choose the correct option.
1. x2 +30x +221 = 0
II. y2 +24y +143 = 0
1.x < Y
2.x > y
3.x ≤ y
4.x ≥ y
5.x = y or relationship cannot be established
Ans. x ≤ y
Solution:
x2 +30x +221 = ( x -17) ( x + 13) = 0
-
x = -17, -13
From equation 2:
. y2 +24y +143 = (y + 13)(y + 11) = 0
-
y = -13, -11
|
|
X = -17 |
X = -13 |
|
Y = -13 |
X < y |
X = y |
|
Y = -11 |
X < y |
X < y |
SO, x ≤ y
