Q1. Find the number of times digit (1) is used while writing numbers from 1 to 100.
Ans : 21
Q2. Three sprinters running on a circular track completes a lap in 4 minutes,5 minutes and 7 minutes. Find the time after which they will meet for the 1st time at the starting point when all the three sprinters start running simultaneously
Ans - 2 1/3
Q3. HCF and LCM of two numbers are 2 and 132 respectively. If one of the number is 22, what is the other number?
Ans - 12
Q4. LCM and HCF of two numbers are 120 and 4.If one of the number is 40 ,what will be the second number?
Ans - 12
Q5. Find the LCM of following
71/2,6/19,42/57
Ans - 42
Q6. At a disco club “CLOUD9” is flashed using neon light. The words are flashed in pair(CL,OU and D9) at the intervals of 2.5 seconds,4.25 seconds, and 5.125 seconds respectively, and each word is put off after a second. The least time after which the full name of the disco can be read again is :
Ans - 72.5
Q7. HCF of two numbers is 23 and product of other factors of their LCM is 15.Find the minimum difference between the two numbers
Ans - 46
Q8. Find the LCM of following
11/12,6/8,33/40
Ans - 33/2
Q9. Convert (1001123)4in decimal form.
Ans - 4187
Q10. Sum of two numbers is 16 and their HCF is 4. A denotes the greater of the two numbers, find the value of A.
Ans - 12
Q11. In a book, the page numbers are given in form a, b, b, c, c, c,….find the alphabet written on the 100th page of the book.
Ans - N
Q12. Find HCF of 2/3, 4/8 ,16/27
Ans - 1/108
Q13. Convert 725 in base 6
Ans - 3205
Q14. Find the number of digits printed on a book having 392 pages such that the digits are only used to indicate the page number of the book.
Ans - 1068
Q15. 3 bars of length 16, 20 and 24 cm are cut into equal parts and are packed in a box which can contain maximum of two pieces of such rods. Find the minimum number of boxes require
Ans -8
