Directions (1 – 10): What should come in place of the question mark (?)
in the following number Series?
1. 5 6 16 57 244 (?)
A) 1245
B) 1125
C) 1260
D) 648
E) None of these
A) 454
B) 346
C) 424
D) 421
E) None of these
3. 50 31 88 (?) 126 –45
164
A) 102
B) –7
C) 100
D) 183
E) –5
4. –18252 3042 –468 (?) –12 2 –0.30
A) 30
B) –46
C) 78
D) 72
E) None of these
5. 20 87 633 2411
(?) 28575
A) 14641
B) 10011
C) 6573
D) 14653
E) 6549
6. 13 14 30 93 376 1885
?
A) 10818
B) 10316
C) 11316
D) 11318
E) None of these
7. 4 6 9 13.5
20.25 30.375 ?
A) 40.25
B) 45.5625
C) 42.7525
D) 48.5625
E) None of these
8. 400 240 144 86.4 51.84
31.104 ?
A) 19.2466
B) 17.2244
C) 16.8824
D) 18.6625
E) None of these
9. 9 4.5 4.5 6.75
13.5 33.75
?
A) 101.25
B) 103.75
C) 99.75
D) 105.50
E) None of these
10. 705 728 774 843
935 1050
?
A) 1190
B) 1180
C) 1185
D) 1187
E) None of these
Solutions:
1.
A) The pattern of given
series is :
5 × 1 + 12 = 6
6 × 2 + 22 = 16
16 × 3 + 32 = 57
57 × 4 + 42 = 244
244 × 5 + 52 = 1245
2.
C) The pattern of given series is :
3 × 3 – 5 = 4
4 × 3 + 5 = 17
17 × 3 – 5 = 46
46 × 3 + 5 = 143
143 × 3 – 5 = 424
3. B)
The pattern of given series is :
50
31 = 50 – (19 × 1)
88 = 31 + (19 × 3)
? = 88 – (19 × 5)
? = –7
126 = – 7 + (19 × 7)
–45 = 126 – (19 × 9)
164 = – 45 + (19 × 11)
4. C)
The pattern of given series is :
– 18252
3042 = –18252 ÷ (–6)
–468 = 3042 ÷ (–6.5)
? = –468 ÷ (–6)
? = 78
–12 = 78 ÷ (–6.5)
2 = – 12 ÷ (–6)
–0.30 = 2 ÷ (–6.5)
5. D)
The pattern of given series is :
20 = (2)4 + 4
87 = (3)4 + 6
633 = (5)4 + 8
2411 = (7)4 + 10
? = (11)4 + 12
? = 14653
28575 = (13)4 + 14
6. C)
The given number series is based on the following
pattern :
13 × 1 + 1 = 14
14 × 2 + 2 = 30
30 × 3 + 3 = 93
93 × 4 + 4 = 376
376 × 5 + 5 = 1885
=> ? = 1885 × 6 + 6 = 11316
Hence, number 11316 will replace the question mark.
7. B)
The given number series is based on the following
pattern :
4 × 1.5 = 6
6 × 1.5 = 9
9 × 1.5 = 13
13 × 1.5 = 20.25
20.25 × 1.5 = 30.375
30.375 × 1.5 = 45.5625
8. D)
The given number series is based on the following
pattern :
400 × 0.6 = 240
240 × 0.6 = 144
144 × 0.6 = 86.4
86.4 × 0.6 = 51.84
51.84 × 0.6 = 31.04
31.104 × 0.6 = 18.06624
9. A)
The given number series is based on the following
pattern :
9 × 0.5 = 4.5
4.5 × 1 = 4.5
4.5 × 1.5 = 6.75
6.75 × 2 = 13.5
13.5 × 2.5 = 33.75
33.75 × 3 = 101.25
10.
E) 705 + 1 × 23 = 728
728 + 2 × 23 = 774
774 + 3 × 23 = 843
843 + 4 × 23 = 935
935 + 5 × 23 = 1050
Therefore, ? = 1050 + 6 × 23 = 1050 + 138 = 1188