7
Q:

How many zeros are there from 1 to 10000 ?

A) 2893 B) 4528
C) 6587 D) 4875

Answer:   A) 2893



Explanation:

For solving this problem first we would break the whole range in 5 sections


1) From 1 to 9
Total number of zero in this range = 0


2) From 10 to 99
Total possibilities = 9*1 = 9 ( here 9 is used for the possibilities of a non zero integer)


3) From 100 to 999 - three type of numbers are there in this range
a) x00 b) x0x c) xx0 (here x represents a non zero number)
Total possibilities
for x00 = 9*1*1 = 9, hence total zeros = 9*2 = 18
for x0x = 9*1*9 = 81, hence total zeros = 81
similarly for xx0 = 81
total zeros in three digit numbers = 18 + 81 +81 = 180


4) From 1000 to 9999 - seven type of numbers are there in this range
a)x000 b)xx00 c)x0x0 d)x00x e)xxx0 f)xx0x g)x0xx
Total possibilities
for x000 = 9*1*1*1 = 9, hence total zeros = 9*3 = 27
for xx00 = 9*9*1*1 = 81, hence total zeros = 81*2 = 162
for x0x0 = 9*1*9*1 = 81, hence total zeros = 81*2 = 162
for x00x = 9*1*1*9 = 81, hence total zeros = 81*2 = 162
for xxx0 = 9*9*9*1 = 729, hence total zeros = 729*1 = 729
for xx0x = 9*9*1*9 = 729, hence total zeros = 729*1 = 729
for x0xx = 9*1*9*9 = 729, hence total zeros = 729*1 = 729
total zeros in four digit numbers = 27 + 3*162 + 3*729 = 2700
thus total zeros will be 0+9+180+2700+4 (last 4 is for 4 zeros of 10000)
= 2893

Subject: Numbers
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Which number will fit in '?' place in the following series?

 

12, 23, 45, 89, ?

 

A) 175 B) 176
C) 177 D) 178
 
Answer & Explanation Answer: C) 177

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Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark (?) in figure C.

 

 

A) 61 B) 21
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Answer & Explanation Answer: C) 16

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The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.

 

A) -2/3 B) 2/3
C) 3/2 D) -3/2
 
Answer & Explanation Answer: A) -2/3

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2 886
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What will be the 20th term in the given sequence?

 

-50, -47, -44, _

 

A) -10 B) 10
C) -7 D) 7
 
Answer & Explanation Answer: D) 7

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10 6581
Q:

In the given series of numbers how many 7's are there which are immediately followed by 9 and immediately not preceeded by 5 ?

 

A) 6 B) 2
C) 1 D) 4
 
Answer & Explanation Answer: B) 2

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3 1048
Q:

The value of 1+22+23+24+...+29 is

A) 255 B) 511
C) 1021 D) 2047
 
Answer & Explanation Answer: C) 1021

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9 1880
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In an arithmetic progression if 13 is the 3rd term, -­47 is the 13th term, then ­-17 is which term?

A) 9 B) 10
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

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7 1526
Q:

What is the value of (81 + 82 + 83 + ......... +130)?

A) 5275 B) 10550
C) 15825 D) 21100
 
Answer & Explanation Answer: A) 5275

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