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Directions (Q.1-5): Find the wrong number in each of the following series.
1. 2, 11, 38, 197, 1172, 8227, 65806
11
38
197
1172
None of the above
Solution:
Series pattern:
2 × 3 + 5 = 11
11 × 4 – 6 = 38
38 × 5 + 7 = 197
197 × 6 – 8 = 1174
1174 should come in place of 1172
1174 × 7 + 9 = 8227
8227 × 8 – 10 = 65806
Clearly, 1172 is wrong and will be replaced by 1174.
2 × 3 + 5 = 11
11 × 4 – 6 = 38
38 × 5 + 7 = 197
197 × 6 – 8 = 1174
1174 should come in place of 1172
1174 × 7 + 9 = 8227
8227 × 8 – 10 = 65806
Clearly, 1172 is wrong and will be replaced by 1174.
2. 16, 19, 21, 30, 46, 71, 107
19
20
30
46
71
Solution:
Series pattern
16 + 12 = 17
17 should come in place of 19
17 + 22 = 21
21 + 32 = 30
30 + 42 = 46
46 + 52 + 71
71 + 62 = 107
Clearly, 19 is wrong and will be replaced by 17.
16 + 12 = 17
17 should come in place of 19
17 + 22 = 21
21 + 32 = 30
30 + 42 = 46
46 + 52 + 71
71 + 62 = 107
Clearly, 19 is wrong and will be replaced by 17.
3. 4, 2, 3.5, 7.5, 26.25, 118.125
118.125
26.25
3.5
2
7.5
Solution:
Series pattern 4 × 0.5 = 2
2 × 1.5 = 3
3 should come in place of 3.5
3 × 2.5 = 7.5;
7.5 × 3.5 = 26.25;
26.25 × 4.5 = 118.125
Clearly, 3.5 is wrong and is replaced by 3.
2 × 1.5 = 3
3 should come in place of 3.5
3 × 2.5 = 7.5;
7.5 × 3.5 = 26.25;
26.25 × 4.5 = 118.125
Clearly, 3.5 is wrong and is replaced by 3.
4. 16, 4, 2, 1.5, 1.75, 1.875
1.875
1.75
1.5
2
4
Solution:
Series pattern
16 × 0.25 = 4;
4 × 0.50 = 2
2 × 0.75 = 1.5;
1.5 × 1.00 = 1.5
1.5 should come in place of 1.75
1.5 × 1.25 = 1.875
Clearly, 1.75 is wrong and will be replaced by 1.5
16 × 0.25 = 4;
4 × 0.50 = 2
2 × 0.75 = 1.5;
1.5 × 1.00 = 1.5
1.5 should come in place of 1.75
1.5 × 1.25 = 1.875
Clearly, 1.75 is wrong and will be replaced by 1.5
5. 3, 3, 12, 108, 1730, 42300
108
1730
42300
12
None of these
Solution:
6. Solve ((999 + 588)^(2 )- (999 - 588)^2)/(999 × 588)
8
3
2
4
None of the above
Solution:
7. (1/5 + 999+ 494/495 × 99 )/4 = ?
25000
24225
24800
24750
None of the above
Solution:
8. Find the value of a^3+b^3+c^3-3abc when a=225,b=226,c=227
2304
2430
2034
2340
None of the above
Solution:
9. If a^2+b^2=234 and ab = 108, find the value of (a + b)/(a - b).
10
8
5
4
None of the above
Solution:
10. 1/(1 × 4)+ 1/(4 × 7)+1/(7 × 10)+1/(10 × 13)+1/(13 × 16)= ?
5/16
3/16
7/16
11/16
None of these.
Solution: