Estimation is the method to calculate the solution quickly and roughly, it gives an approximate answer which is near to the correct value. It is also used to check the already solved answers, in the estimate method we round off numbers to 1 or 2 significant figures.
Question 1: Find the missing value in the given series
1,4,27,16,___,36,343
(a) 120
(b) 125
(c) 40
(d) 85
Answer: (b)
Explanation: We observe that all odd number are in cubes and all even numbers are the square form.
Question 2: Following the pattern, complete the series?
14, 24, 16, 46, 10, 76, ___
(a) -4
(b) 4
(c) 9
(d) 0
Answer: (a)
Explanation: 3 x 5 - 1^2= 15- 1= 14
4 x 5 + 2^2=20 + 4 = 24
Question 3: Find the incorrect number in the given series?
11, 11.5, 24, 73.5, 294, 1482.5,8898
(a) 11.5
(b) 73.5
(c) 294
(d) 1482.5
Answer: (c)
Explanation: 11 x 1 + 0.5 x 1= 11 + 0.5 = 11.5
11.5 x 2 + 0.5 x 2= 23 + 1 = 24
Question 4: Following the pattern, complete the series?
121, 139, 161, 189, ___
(a) 220
(b) 225
(c) 219
(d) 221
Answer: (b)
Explanation: 121 + 18 = 139
139 + 22 = 161
Question 5: Following the pattern, complete the series?
169, 179, 164, 184, 159, ___
(a) 189
(b) 179
(c) 169
(d) 185
Answer: (a)
Explanation: 169 + 10 = 179
179 - 15 = 164
Question 6: Following the pattern, complete the series?
225, 100, 36, 9, 1, ___
(a) 0
(b) -1
(c) 2
(d) 5
Answer: (a)
Explanation: 225 - 5^3 = 225-125 = 100
100 - 4^3 = 100 - 64 = 36
Question 7: Following the pattern, complete the series?
500, 250, 750, 187.5, 937.5, ___
(a) 156.5
(b) 156.25
(c) 156.75
(d) 156
Answer: (b)
Explanation: 500/2 = 250
250 x 3 = 750
Question 8: Following the pattern, complete the series?
49, 170, 196, 757, 2832, ___
(a) 1400
(b) 14384
(c) 14385
(d) 14346
Answer: (c)
Explanation: 49 x 1 + 11^2 = 49 + 121 = 170
170 x 2 - 12^2 = 340 - 144 = 196
Question 9: Following the pattern, complete the series?
1, 10, 3, 36, 5, 78, ___
(a) 7
(b) 81
(c) 8
(d) 9
Answer: (a)
Explanation: 1 x 2 - 1^2 = 2 - 1 = 1
2 x 3 + 2^2 = 6 + 4 = 10
Question 10: Following the pattern, complete the series?
4, 8, 32, 192, 1536, ______
(a) 15,360
(b) 18,358
(c) 15,365
(d) 18,350
Answer: (a)
Explanation: 4 x 2 = 8
8 x 4 = 32
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