GRE - QUANT - NUMBERS - DIGITS (UNITS & TENS)

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Digits units and tens

2) (3×100)+(4×1)+(5×1,000)+(6×10)=
(A) 3,456          (B) 3,564              (C) 4,635        (D) 5,346              (E) 5,364


3) A k- number is a positive integer with the special property that three times its units digit is equal to two times its tens digit
   Column A: The number of k- numbers between 10 and 99                        Column   B: 3

 6)                 In a certain two-digit number, the units digit is twice the tens digit
                         Column A: the tens digit                           Column B: 5


7)     Column A: The value of Units digit in  Column B: The value of Units digit in


8) Column A: 26,003                               Column B : 2( )+6( )+3(10)


9) Which of the following is equal to 25,000,000?
(A)25 × (B)2.5 (C)(2  )+(5   )     (D)(20 )+(5   )         
 (E)(2   )+(5  )


 10) has a units digit of
  (A)1           (B) 2            (C) 3             (D) 7        (E) 9


11) 11 +22+33+...+1010is divided by 5. What is the remainder?
(A) 0                 (B) 1   (C) 2               (D) 3     (E) 4


12)p is a positive even integer with a positive units digit, if the units digit of p3
minus the units digit of p2is equal to 0, what is the units digit of p + 3?
(A)3     (B) 6    (C) 7    (D) 9    (E) It cannot be determined from the given information.


13) If x is a positive integer, what is the units digit of 242X+133X+117X+292x?
(A) 4    (B) 6    (C) 7   (D) 8    E) 9


14) If a and b are positive integers and x = and y = , which of the following is a possible units digit of xy?
(A)  1   (B) 4    (C) 5    (D) 7               (E) 8


15) If x = 321 and y =6 55, what is the remainder when xy is divided by 10?
(A) 2    (B) 3    (C) 4   (D) 6   (E) 8


16. If x is a positive integer, what is the remainder when 712x+3+ 3 is divided by 5?
(A)0                 (B)1                 (C) 2               (D) 3                (E) 4


17. What is the units digit of (71)5(46)3(103)4 + (57)(1088)3 ?
(A) 0                 (B) 1                (C) 2               (D) 3                (E) 4


18. If   =a   what is the units digit of  ?
(A) 0                (B) 1               (C) 3               (D) 5                (E) 9


19. What is the units digit of 17728 –13323?
(A) 1                (B) 3                (C) 4                (D) 6                (E) 9


20. What is the greatest integer m for which the number is an integer?
(A) 5                (B) 8                (C) 10              (D) 11             (E) 12


21. How many terminating zeroes does 200! have?
(A) 40              (B) 48             (C) 49             (D) 55             (E) 64


22. If y is divisible by the square of an even prime number and x is the actual square of an even prime number, then what is the units digit of xy?
(A) 0    (B) 2    (C) 4    (D) 6    (E) 8


23.                                                 x is a positive integer
                                                      The units digit of x4 is 1.
                                                       The units digit of x2 is
           

25.  N =  and P = Column A: Units place of N+P                              Column B: Units place of NxP


26. If x and y are the tens digit and the units digit, respectively, of the product 725,278 × 67,066, what is the value of x + y?
A) 12                B) 10                C) 8                  D) 6                 E )4


27.  The "reflection" of a positive integer is obtained by reversing its digits. For example, 321 is the reflection of 123. The difference between a five-digit integer and its reflection must be divisible by which of the following?
A) 2                  B) 4                  C) 5                  D) 6                 E) 99

29.                                                        x>79999
Column A: digit in thousands place  of x is                 Column B: 6



31.  R is a multiple of 3 and T is multiple of 7. If T and R are 2 digit numbers, what is the least product of T and R

32.  How many numbers between 1 and 100 contain the digit 8?

41. The product of the digits of the number is 15 and the sum of the digits is 8. The digits interchange their places when 18 is added to the number.


44.                                   Two numbers A and B lie in between 240 and 290 
                                         tens place of A is 8, units place is x,
                                         tens place of B is 6, units place is y
column A: A-B                         column B:20

                                                  x is an integer
45.                                               y=10x +7
Column A:  tens digit of x                                  Column B: units digit of y

y is an integer
46.  x=10y+2
Column A: Tens  digit of x                   Column B: Units  digit of y



47                                                  n is a two-digit number
                                                       units digit of n is 5
                                   in which thousands place is 3 and hundreds place is 0.
n is?
A) 35                B) 45                C) 55                D) 65              E)75


 50. The number of  three digit numbers  between 100  and  999, whose units place is 2   and are  squares  of integers are

51. How many 4-digit numbers begin with an odd digit and end with an even digit?
A) 250                          B) 500                          C) 2000            D) 2500            E) 5000

52. How many positive integers exist between 10^6  and 10^7, the sum of whose digits equal to 2?
              (A)  5                      (B) 6       (C)    7       (D)   8   (E) 18

53. The sum of all the digits of the positive integer q is equal to the three-digit number x13. If q = 10n – 49, what is the value of n?
   (A) 24                       (B) 25              (C) 26             (D) 27                          (E) 28
           
54. If 2, 3, 5, 8, 7, 9 are all positive integers and if three digits numbers are taken using each number only once.
Column A: The maximum possible sum of the numbers.                  Column B: 1459

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