Find the missing number.
$31, 35, 43, 59, 91, . . . . .$

135

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145

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155

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165

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Solution

The correct option is D $155$
Observing the given sequence,
We can notice the differences between two elements,
$35 - 31 = 4 = 2^{2}$
$43 - 35 = 8 = 2^{3}$
$59 - 43 = 16 = 2^{4}$
$91 - 59 = 32 = 2^{5}$
Hence the next difference in the sequence would be $2^{6} i . e 64$
Hence, the next term is $91 + 64 = 155$

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Q. The class marks of a distribution are

105, 115, 125, 135, 145, 155, 165

. The class size is:

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Prepare a continuous series from the following data:

Q. For the following distribution, calculate the range of data.

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Q. The height of 50 girls of class X of a school are recorded as follows:

Height (in cm)	135−140	140−145	145−150	150−155	155−160	160−165
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Find the missing number.31,35,43,59,91,.....

The correct option is D 155Observing the given sequence, We can notice the differences between two elements,35−31=4=2243−35=8=2359−43=16=2491−59=32=25Hence the next difference in the sequence would be 26 i.e 64Hence, the next term is 91+64=155

Find the missing number.
$31, 35, 43, 59, 91, . . . . .$