• 1. 
    The HCF and product of two numbers are 15 and 6300 respectively. Find how many pairs of such numbers are possible.

  • 4
  • 3
  • 2
  • 1
  • 2. 
    If P713 is divisible by 11, find the value of the smallest natural number P?

  • 5
  • 6
  • 7
  • 9
  • 3. 
    Find the dividend if the divisor is (x + 2), quotient is (4x - 5) and the remainder is 12.

  • 4x2 + 5x + 2
  • 4x2 + 3x + 2
  • 4x2  –  3x + 2
  • 4x2 + 3x  –  2
  • 4. 
    What is the value of 2 consecutive natural numbers, sum of whose squares is 145?

  • 8, 9
  • 6, 7
  • 13, 14
  • 9, 10
  • 5. 
    Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

  • 75
  • 85
  • 65
  • 45
  • 6. 
    Find the greatest number that will divide 149, 247 and 622 leaving remainders 5, 7 and 10 respectively

  • 10
  • 12
  • 18
  • 8
  • 7. 
    Find the value of \(\frac{1}{4} + \frac{1}{{28}} + \frac{1}{{70}} + \frac{1}{{130}} + \frac{1}{{208}}\)

  • \(\frac{3}{{16}}\)
  • \(\frac{7}{{16}}\)
  • \(\frac{5}{{16}}\)
  • \(\frac{1}{{210}}\)
  • 8. 
    A number when divided by 6 leaves remainder 3. When the square of the same number is divided by 6, the remainder is

  • 0
  • 1
  • 2
  • 3
  • 9. 
    The LCM of two numbers is 210. lf their HCF is 35 and one of the numbers is 105, find the other number.

  • 35
  • 70
  • 105
  • 140
  • 10. 
    351 + 352 + 353 + 354 is divisible by

  • 37
  • 17
  • 40
  • 13
  • 11. 
    The LCM of two numbers is 66. The numbers are in the ratio 2 : 3. The sum of the numbers is

  • 60
  • 55
  • 50
  • 65
  • 12. 
    Two numbers are in ratio 4 : 5 and their HCF is 13. Their LCM is:

  • 260
  • 52
  • 65
  • 265
  • 13. 
    How many 3 digit number, in all are divisible by 9?

  • 100
  • 99
  • 98
  • 101
  • 14. 
    The greatest 4-digit number exactly divisible by 5, 15, 20 is

  • 9990
  • 9960
  • 9980
  • 9975
  • 15. 
    Find the remainder when 413 divided by 3?

  • 1
  • 2
  • 0
  • 3
  • 16. 
    What is the greatest number less than 900, which is divisible by 8, 12 and 28?

  • 672
  • 504
  • 840
  • 808
  • 17. 
    Find the least number required to be added to 3105 so that it is exactly divisible by 3, 4, 5 and 6.

  • 15
  • 12
  • 25
  • 10
  • 18. 
    What smallest number should be added to the sum of squares of 15 and 14, so that the resulting number is a perfect square?

  • 17
  • 20
  • 11
  • 9
  • 19. 
    Find the LCM Of 25/7, 15/28, 20/21.

  • 300/7
  • 300
  • 320/23
  • 320
  • 20. 
    Which of the following will have the maximum number of factors?

  • 99
  • 101
  • 176
  • 182
  • 21. 
    If x = 3 + 2√2, the value of \({x^2} + \frac{1}{{{x^2}}}\) is

  • 36
  • 30
  • 32
  • 34
  • 22. 
    It is given that 237 + 1 is exactly divisible by a certain number. Which one of the following is definitely also divisible by the same number?

  • 2111 + 1
  • 237 – 1
  • 227 + 1
  • 274
  • 23. 
    By dividing 14528 by a certain number, Suresh gets 83 as quotient and 3 as remainder. What is the divisor?

  • 165
  • 185
  • 195
  • 175
  • 24. 
    The HCF of 3/7, 5/14 and 17/28 is:

  • 1/14
  • 1/7
  • 3/14
  • 1/28
  • 25. 
    The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is:

  • 6400
  • 6480
  • 480
  • 960
  • 26. 
    At a telephone exchange, three phones ring at intervals of 20 sec, 24 sec and 30 seconds - If they ring together at 11:25 am, when will they next ring together?

  • 11:29 pm
  • 11:27 am
  • 11:51 am
  • 12:29 pm
  • 27. 
    The HCF and LCM of the two numbers x and y are respectively 7 and 42. If x + y = 35, then \(\frac{1}{x} + \frac{1}{y}\) is equal to :

  • 6/35
  • 5/42
  • 3/42
  • 1/42
  • 28. 
    If x is a prime number, LCM of x and its successive number would be

  • x
  • x + 1
  • x(x + 1)
  • x/(x - 1)
  • 29. 
    What is the least number which when increased by 23 is divisible by each of 42, 36 and 45?

  • 1273
  • 1237
  • 1207
  • 2507
  • 30. 
    What is the L.C.M and H.C.F of the fractions \(\frac{6}{5},\frac{3}{5}{\text{and}}\frac{{15}}{{11}}?\)

  • \(30,\frac{3}{{55}}\)
  • \(30,\frac{7}{{55}}\)
  • \(\frac{1}{{30}},\frac{3}{{55}}\)
  • \(30,\frac{{55}}{3}\)
Report Question
warning
access_time
  Time