Latest CTS Aptitude Question SOLUTION: Number of digits with a 2 in them between 100 and 400?

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(#M40020280) CTS Numerical Ability question Keep an EYE

Number of digits with a 2 in them between 100 and 400?

Asked In CTS AISHWARYA (10 years ago)

Unsolved Read Solution (20)

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Read Solution (20) :

bharathveerreddy  (10 years ago)

138
100-199 =19 (102,112,120-129,132,142,152,162,172,182,192)
200-299 =100 and similarly
300-400 =19

Is this solution Helpfull? Yes (49) | No (15)  

raghu  (10 years ago)

between 100 to 200=20
between 200 to 300=120
between 300 to 400=20
total
160

Is this solution Helpfull? Yes (19) | No (21)  

SUBHAM CHATTERJEE  (10 years ago)

100-199=19
200-299=100+19
300-400=19
total=19+100+19+19=157

Is this solution Helpfull? Yes (5) | No (8)  

vikas rathore  (10 years ago)

100-199= 19
200-299=100
300-400=19
so answer is 138

From 100 to 199 the is only 19 number which have 2 in it not 20. Most common error in most of the answer is they counted 122 two times in series of 102,112,122,132,142....192 and then 120,121,122,123,..129.

Is this solution Helpfull? Yes (4) | No (1)  

Nishant Nishikar  (10 years ago)

160
100-199=20 {102,112,120,121,122,123,124,125,126,127,128,129,132,142,152,162,172,182,192}
200-300=120
300-400=20

Is this solution Helpfull? Yes (3) | No (2)  

K Karthik  (10 years ago)

hello,sorry friends..
i have a word 2 say..300-400 only 20 2's exist so th no of digits from 100-400 are 161

Is this solution Helpfull? Yes (2) | No (5)  

guna koushik  (10 years ago)

may b 163....
from 100 to 199 we will have 21 twos(i.e,100-110=1,111-120=2,121-130=10,131-140=1 same fr 300-400 series..bt fr 200-299 we will have 121 twos...so 121+21+21=163)

Is this solution Helpfull? Yes (1) | No (11)  

pandimurugan  (10 years ago)

102,112,..........192 =10
120,121,..........129 =10
similarly
300 to 400 =20
and 200 to 300 =100; so answer=140

Is this solution Helpfull? Yes (1) | No (3)  

saikumar k n v  (10 years ago)

100-199-->(102-192=10&& 121-129==9 total 19)
200-299-->(2 is in evry digit from 200 onwards so total 100 && in 10's positon 2 comes 10 times in 220--229 so 100+10=110 in units position (202--292 so 110+10=120)
300-400--> 19
so total=19+120+19=158 is the correct answer!!!!!!!!!!!!

Is this solution Helpfull? Yes (1) | No (2)  

Brati Biswas  (10 years ago)

from 100 to 199= 10 (bcz 102,112,122,...192)
from 200 to 299= 100 (all of them)
from 300 to 400= 10 (same as 100 series)
total=120.

Is this solution Helpfull? Yes | No (26)  

rion  (10 years ago)

100 - 200 : 19
200 - 300 : (100-19) = 81
300 - 400 : 18

Is this solution Helpfull? Yes | No (3)  

K Karthik  (10 years ago)

102-192=10,120-129=11-1=10,200=1 overall 21 in 100-200.
201-300=21+99=120.
301-400=21
21+120+21=162

Is this solution Helpfull? Yes | No (1)  

Kiran Kumar Pradhan  (10 years ago)

100-199=20
300-399=20
200-299=200+20
total=260

Is this solution Helpfull? Yes | No (1)  

marrisaisuneel  (10 years ago)

100-199 there are 20 2's like 102 112 120 121 122 123 124 125 126 127 128 129 132 142 152 162 172 182 192
similarly we get 120 2's in between 200-299 and 20 2's in between 300-400 so a total of 160 2's

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Anusha K R  (10 years ago)

170 2's are present.. as 22 contains two 2's,122 contain two 2's,222 contain three 2,322,contain 2 2's we have to count even that 2's

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soumik  (10 years ago)

238
100-199 =19 (102,112,120-129,132,142,152,162,172,182,192)
200-299 =119 and similarly
300-400 =19

Is this solution Helpfull? Yes | No (2)  

soumik  (10 years ago)

157
100-199 =19 (102,112,120-129,132,142,152,162,172,182,192)
200-299 =119 and similarly
300-400 =19

Is this solution Helpfull? Yes | No   

kunda anusha  (10 years ago)

can any body give the exact explanation for this question......

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umesh kumar swain  (10 years ago)

according to the question,number of digits in between 100 and 400
yhe nos are 102 112 122 132 142. . . . . .392
here first term is (a)=102
common difference is (d)=10
tn=a+(n-1)d
392=102+(n-1)10
by solving this we get n=30

Is this solution Helpfull? Yes | No   

DEVASHISH  (10 years ago)

it is 10000% 154

Is this solution Helpfull? Yes | No (1)  

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