Q1. The number of two-digit numbers [Where neither digit is zero] whose product of the digits is a square are? Q2. What is a percent of b divided by b percent of a? Q3. There are four boys and five girls standing outside the new record shop. The sign in the window offers a prize to every couple (one boy and one girl) that enters the store. How many prizes can the nine people get? Q4. While taking a class Sirji asked Q5. Among 39 sequential natural numbers there always is a number with the sum of its digits divisible by |
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Q1. The number of two-digit numbers [Where neither digit is zero] whose product of the digits is a square are?
a. 16 b. 17 c. 18 d. None of these
squre 1/4/9/16/25/36/49/64/81
so possible number 11,22,33,28,44,82,55,49,66,94,77,88,99
Q2. What is a percent of b divided by b percent of a?
(a) a (b)b (c) 1 (d)10 (e) 100
=(ab/100)/(ba/100)=1
Q3. There are four boys and five girls standing outside the new record shop. The sign in the window offers a prize to every couple (one boy and one girl) that enters the store. How many prizes can the nine people get?
1 boy goes with 5 girls in alternative so total 20 prizes nine people can get
Q4. While taking a class Sirji asked
“What is the highest number possible with 3 digits?”
My answer then was 9 to the 99th power (written mathematically of course) as this uses "3 digits" and is obviously a huge number. Is this correct?
a. yes
b. no
c. cant be determined
d. There is not a single highest number
ans is NO becasue 9^9^9 is highest number
Little Star
n/a
Both the digits of the two digit number can be same, possible number of such 2 digit numbers = 9
And the 2 digit perfect square numbers are 81, 64, 49, 36, 25, 16, 9, 4, 1
Now
36 can be 9 x 4 (except 6 x 6)
16 = 8 x 2
9 = 9 x 1
4 = 4 x 1
i. e 8 different numbers (94, 49, 82, 28 etc)
So total numbers = 9 + 8 = 17
n/a
Q5
Only I
Kamal Lohia
n/a
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