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Study guides - Arithematic
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Find the number of factors that the number 2025 has.

12

13

15

14

 

In how many ways can 14630 be written as the product of two factors?

14

15

23

16

 

Find the largest 3 digit multiple of 28.

980

987

986

578

 

Find the smallest number which when divided by 4 or 7 leaves a remainder of 3 in each case and the number being greater than the two divisors

30

76

21

31

 

Find the largest four digit number which when divided by 5 and 9 gives remainders of 3 and 7 respectively

8899

9988

9898

8989

 

Find the smallest number which when divided by 7 leaves a remainder of 6 and when divided by 11 leaves a remainder of 8

40

20

59

41

 

Find the remainder of the division 3^42/4

0

1

2

3

 

Which of the following is divisible by 19?

614120

860472

921194

998777

 

What should be added to 475935 so that it becomes a multiple of 11?

2

3

7

8

 

What should be subtracted from 478185 so that it becomes a multiple of 19?

7

8

10

12

 

There are some sweets with me. If I distribute them equally among 10, 16 or 20 children, I would be left with one sweet in each case. If I   distribute the sweets equally among 20 children, I do not have any sweets left with me.  How many sweets do I have?

92

115

150

161


 

What is the largest number which, divides 288,528 and 708, and leaves the same remainder in each case?

30

60

75

150

 

What is the smallest five digit number which when divided by 7, 11 and 21 leaves a reminder of 5 in each case?

10164

10169

10118

10123

 

From a certain city, buses start for four different places every 15, 20, 25 and 30 minutes starting from 8 a.m. At what time, for the first time after 8 a.m. would all the buses start together again?

10a.m

12 noon

1p.m

2p.m

 

A number when divided by 928 leaves a reminder 244.What would be the reminder when the number is divided by 58?

8

12

17

23

 

When a three digit number is divided by 64484 and 62767, the remainder is the same in both the cases. What is the remainder?

101

458

757

Cannot be determined

 

If x+1/x = 4, find the value of x^4-1/x^4(x>1)

112

112sqrt3

224

None of these

 

Which of the following is a perfect square?

20,734

61,504

71,295

77,286

 

How many digits are there in the smallest number containing all 9's which is divisible by 13?

4

5

6

8

 

If the number 7448x24y is divisible by 72, find the value of x-y given x not equal to y

5

7

8

None of these

 

The difference of a four digit number and any number formed by permuting its digits would always be divisible by

18

11

10

9

 

Find a number such that it exceeds 18 by three times the number by which it is less than 86

32

69

54

67

 


 

Find the smallest number, which when divided by 31 leaves as remainder 7 and when divided by 25 leaves a remainder 6

106

81

131

162

Find the greatest number with which when 565,847 and 1551 are divided, the respective remainders are 5, 7 and 11

70

140

170

210

 

Find the remainder when 3^50 are divided by 11

1

6

7

Cannot be determined

 

Find the smallest number which when increased by 5 is divisible by 36, 108,126 and 198

4422

8311

7764

6867

 

What is the minimum number of identical square tiles required to cover a floor of dimensions 3 m 78 cm by 4 m 80 cm

3200

5040

7600

8100

 

The HCF and LCM of a pair of numbers are 11 and 1001 resp. Find the smaller of the two numbers given that their sum is 220

11

33

55

77

 

Find the greatest power of 20, which can divide 200!

10

49

98

104

 

Find the number of factors of the number 46200

64

78

96

106

 

Find the highest power of 5 contained in 250!

50

62

78

84

 

Find the largest five digit number which when divided by 8 leaves remainder 3 and when divided by 7 leaves remainder 1?

99948

99953

99960

99947

 

When the numbers 5,7 and 11 divide a multiple of 17,the remainders left are, respectively,4,6 and 10.Which multiple of 17 gives the least number that satisfies the given condition?

384

317

385

None of these

 

How many times the HCF, of the fractions 3/14, 6/35 and 16/21 is their LCM?

1440

144

210

48


 

What is the maximum number of ways in which the number 11025 can be expressed as the product of a pair of co prime factors?

1

2

4

8

 

What is the number of different ways in which the number 784 can be expressed as a product of the two different factors?

8

7

2

None of these

 

What is the sum of all the co-primes of 24, which are less than 24?

96

72

52

144

 

How many co prime of 53 are there between 29 and 41, including the two numbers?

23

13

36

None of these

 

What is the HCF of the numbers represented by n (n^2 + 20), n being an even number?

16

12

8

48

 

When a three digit number is divided by 64484 and 62767, the remainder is the same in both the cases. What is the remainder?

101

458

757

Cannot be determined