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number series questions for competitive exams

number series questions and answers for competitive exams

Solve the number series questions given below:

2 13 35 68 112 ?

(a) 173

(b) 178

(c) 163

(d) 167

(e) None of these

Solution: (c)

The given number series question is based on the following pattern:

\(\displaystyle 2+1\times 11=2+11=13\)

\(\displaystyle 13+2\times 11=13+22=35\)

\(\displaystyle 35+3\times 11=35+33=68\)

\(\displaystyle 68+4\times 11=68+44=112\)

\(\displaystyle 112+5\times 11=112+55=167\)


650 601 565 540 524 ?

(a) 512

(b) 514

(c) 511

(d) 515

(e) None of these

Solution: (d)

The pattern of the number series question is :

\(\displaystyle 650-{{7}^{2}}=650-49=601\)

\(\displaystyle 601-{{6}^{2}}=601-36=565\)

\(\displaystyle 565-{{5}^{2}}=565-25=540\)

\(\displaystyle 540-{{4}^{2}}=540-16=524\)

\(\displaystyle 524-{{3}^{2}}=524-9=515\)


5 15 35 75 155 (?)

(a) 295

(b) 315

(c) 275

(d) 305

(e) None of these

Solution: (b)

The given number series question is based on the following pattern:

15 – 5 = 10;  35 – 15 = 20

75 – 35 = 40;  155 – 75 = 80

Now  ? = 155 + 160 = 315


688 472 347 283 256 (?)

(a) 236

(b) 229

(c) 255

d) 248

(e) None of these

Solution: (d)

The given number series question is based on the following pattern:

\(\displaystyle 688-472=216={{6}^{3}}\)

\(\displaystyle 472-347=125={{5}^{3}}\)

\(\displaystyle 347-283=64={{4}^{3}}\)

\(\displaystyle 283-256=27={{3}^{3}}\)

\(\displaystyle ?=256-{{2}^{3}}=256-8=248\)


1 1 2 6 (?) 120

(a) 24

(b) 60

(c) 100

(d) 30

(e) None of these

Solution: (a)

The given number series question is based on the following pattern:

\(\displaystyle 1\times 1=1\)

\(\displaystyle 1\times 2=2\)

\(\displaystyle 2\times 3=6\)

\(\displaystyle 6\times 4=24\)

\(\displaystyle 24\times 5=120\)