number theory
5
7
8
None of the above
Answer is Right!
Answer is Wrong!
2. How many numbers from 1 to 100 are there each of which is not only exactly divisible by 4 but also has 4 as its digit ?
7
8
18
25
Answer is Right!
Answer is Wrong!
3. A prime number between 10 and 40 remains unchanged if its digits are reversed. The square of such a number is
12
484
1089
None of the above
Answer is Right!
Answer is Wrong!
4. The sum of squares of three natural numbers is 138 and sum of their products taken two at a time is What is the sum of these numbers?
10
20
30
None of the above
Answer is Right!
Answer is Wrong!
5. How many numbers are there from 3 to 100 which are divisible by 4 and either unit digit or tenth digit or both include 4 ?
10
11
19
less than 10
Answer is Right!
Answer is Wrong!
6. The last number, which must be added to 7912 to make it a perfect square, is
8
9
12
16
Answer is Right!
Answer is Wrong!
Detailed SolutionThe last number, which must be added to 7912 to make it a perfect square, is
7. Suppose x, y, z are three positive integers such that x < yz and xyz = Which one of the following values of S yields more than one solution to the equation x+y+z=S?
8. If 2028 is the product of two natural number shaving two digits each and 13 is their highest common factor, then the numbers are
26, 78
13, 156
36, 68
39,52
Answer is Right!
Answer is Wrong!
9. The smallest number which when increased by 10, is completely divisible by 12, 15, 18, 20 and 24, is:
230
250
290
350
Answer is Right!
Answer is Wrong!