# good quant questions

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

Q2. What is a percent of b divided by b percent of a?

(a) a (b)b (c) 1 (d)10 (e) 100

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

“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

Q5. Among 39 sequential natural numbers there always is a number with the sum of its digits divisible by

I. 11 II. 13 III. 17

a. only I

b. Both I & II

c. I, II & III

d. None of the above

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

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

Q5. Among 39 sequential natural numbers there always is a number with the sum of its digits divisible by

I. 11 II. 13 III. 17

a. only I

b. Both I & II

c. I, II & III

d. None of the above

39 consecutive numbers will always have addition of 3 to ten's and 0-9 in units place. Hence total of at least one among them will always be divisible by 11. Hence a.

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

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