EXERCISE 7 A (OBJECTIVE TYPE QUESTIONS IN 76 80 SOLUTION )

76.       The digit in the unit’s place of a number is equal to the digit in the ten’s place of half of that number and the digit in the ten’s place of that number is less than the digit in unit’s place of half of the number by 1. If the sum of the digits of the number is7, then what is the number?

a)      34

b)      52

c)       162

d)      Data inadequate

e)      None of these

77.       In a two – digit number, the digit in the unit’s place is more than two vice the digit in ten’s place by. If the digits in the unit’s place and the ten’s place are interchanged, difference between the newly formed number and the original number is less than the original number by 1. What is the original number?

a)      25

b)      37

c)       49

d)      52

e)      73

78.       A certain number of two digits is three times the sum of its digits and if 45 be added to it, the digits are revered. The number is:

a)      23

b)      27

c)       32

d)      72

79.       A two – digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:

a)      18

b)      24

c)       42

d)      81

80.       The product of two fractions is 14/15 and their quotient is 35/24. The greater fraction is:

a)      4/5

b)      7/6

c)        7/4

d)      7/5

ANSWERS

EXERCISE 7 A (OBJECTIVE TYPE QUESTIONS IN 71 75 SOLUTION )

71.       If the number obtained on interchanging the digits o a two – digit number is 18 more than the original number and the sum of the digits is 8, then what is the original number?

a)      26

b)      35 53

c)       Cannot be determined

d)      None of these

72.       The difference between a two – digit number and the number obtained by interchanging the digits is 36. What is the difference between the sums of the difference of the digits of the number if the ratio between the digits of the number is 1:2?

a)      4

b)      8

c)       16

d)      None of  these

73.       A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

a)      145

b)      253

c)       370

d)      352

74.       A two – digit number becomes five – sixth of itself when its digits are reversed. The two digits differ by one. The number is:

a)      45

b)      54

c)       56

d)      65

75.       A number consists of two digits such that the digit in the ten’s place is less by 2 than the digit in the unit’s place. Three times the number added to 6/7 time the number obtained by reversing the digits equals 108. The sum of the digits in the number is

a)      6

b)      7

c)       8

d)      9

ANSWERS

EXERCISE 7 A (OBJECTIVE TYPE QUESTIONS IN 61 70 SOLUTION )

66.       The sum of the digits of a two – digits number is 9 less than the number. Which of the following digits is at unit’s place of the number?

a)      1

b)      2

c)       4

d)       Data inadequate

67.       The difference between a two – digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

a)      3

b)      4

c)        9

d)      Cannot be determined

e)      None of these

68.       The difference between a two –digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?

a)      29

b)      70

c)       92

d)      Cannot be determined

e)      None of these

69.       The sum of the digits of a two – digit number and the number obtained by interchanging the two digits is 63.Which is the smaller of the two numbers?

a)      5

b)      7

c)       9

d)      Data inadequate

e)      None of these

70.       If the digit in the unit’s place of a two – digit number is halved and the digit in the ten’s place is doubled, the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following is definitely true?

a)      Sum of the digits is a two – digit number.

b)      Digit in the unit’s place is twice the digit in the ten’s place.

c)       Digits in the unit’s place and the ten’s place are equal.

d)      Digit in the unit’s place is half o f the digit in the ten’s place

e)      None of these.

ANSWERS

EXERCISE 7 A (OBJECTIVE TYPE QUESTIONS IN 61 65 SOLUTION )

61.       A number of two digits has 3 for its unit’s digit, and the sum of digits is 1/7 of the number itself. The number is

a)      43

b)      53

c)       63

d)      73.

62.       A two – digit number exceeds the sum of the digits of that number by 18. If the digit at the unit’s double the digit in the ten’s place, what is the number?

a)      24

b)      42

c)       48

d)      Data inadequate

63.       The sum of the digits of a two – digits of number is 15 and the difference between the digits is 3. What is the two – digit number?

a)      69

b)      78

c)       96

d)      Cannot be determined none of these

64.       In a two – digit number, if it is known that its unit’s digit exceeds its ten’s digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:

a)      24

b)      26

c)       42

d)      46

65.       A number consists of two digits. If the digits interchange places and the new numbers is added to the original number, then the resulting number will be divisible by:

a)      3

b)      5

c)       9

d)      11

ANSWERS

EXERCISE 7A (OBJECTIVE TYPE QUESTIONS IN 56 60 SOLUTION )

         56.       The sum of three consecutive multiples of 3 is 7. What is the largest number?

a)      21

b)      24

c)       27

d)      36

57.       What is the sum of two consecutive even numbers, the difference of whose squares is 84?

a)      34

b)      38

c)       42

d)      46

58.       The sum of the squares of three consecutive natural numbers is 2030. What is the middle number?

a)      25

b)      26

c)       27

d)      28

59.       There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first and twice the second is 36. The lager of the two is:

a)      6

b)      8

c)       9

d)      12

60.       In a two – digit number, the digit in the unit’s place is four times the digit in ten’s place and sum of the digits is equal to10. What is the number?

a)      14

b)      41

c)       82

d)      Data inadequate

e)      None of these

ANSWERS

EXERCISE 7A (OBJECTIVE TYPE QUESTIONS IN 51 55 SOLUTION )

51.       The sum of three consecutive numbers is 87. The greatest among these three numbers is:

a)      26

b)      28

c)       29

d)      30

52.       The times the first of three consecutive odintegers is 3 more than twice the third. The third integer is:

a)      9

b)      11

c)       13

d)      15

53.       The sum of for consecutive even integers is 1284. The greatest of them is:

A)     320

B)      322

C)      324

D)     326

54.       The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?

a)      7

b)      9

c)       11

d)      Data inadequate

e)      None of these

55.       The product of three consecutive even numbers when divided by 8 is 720. The product of their square roots is:

a)      12 10

b)      24 10

c)       120

d)      None of these

ANSWERS 

EXERCISE 7A (OBJECTIVE TYPE QUESTIONS IN 46 50 SOLUTION )

46.       The sum of the squares of two numbers is 3341 and the difference of their squares s 891. The numbers are:

a)      25,36

b)      25,46

c)       35,46

d)      None of these

47.       The difference between two positive integers is 3. If the sum , of their squares is 369, then the sum of the numbers is:

a)      25

b)      27

c)       33

d)      81

48.       If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers  is:

a)      40

b)      44

c)       80

d)      88

49.       The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are:

a)      600, 400

b)      628,372

c)       640,360

d)      None of these

50.       If the difference of two numbers is 3 and the difference of their squares is 39, then the larger number is:

a)      8

b)      9

c)       12

d)      13

ANSWERS 

EXERCISE 7A (OBJECTIVE TYPE QUESTIONS IN 41 45 SOLUTION )

41.       The sum, of two numbers is 40 and their product is 375. What will be sum of their reciprocals?

a)      1/40

b)      8/75

c)       75/4

d)      75/8

42.       The sum of two positive integers multiplied by the bigger number is 204, and the difference multiplied by the smaller umber is 35. The numbers are:

a)      12 ,5

b)      13,4

c)       14,3

d)      24,10

43.       If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their squares is:

a)      12

b)      28

c)       160

d)      180

44.       The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is :

a)      20

b)      28

c)       160

d)      180

45.       The product of two numbers is 45 an the sum of their squares is 106. The numbers are:

a)      3 and 5

b)      5 an 9

c)       5 an 19

d)      45 an 1

ANSWERS 

EXERCISE 7A (OBJECTIVE TYPE QUESTIONS IN 36 40 SOLUTION )

36.       The difference between two integers is 5. Their product is 500. Find the numbers.

a)      15,20

b)      20,25

c)       30,25

d)      21,26

37.       Two numbers differ by 5. If their product is 336, then the sum of the two numbers is

a)      21

b)      28

c)       37

d)      51

38.       Two different natural numbers are such that their product less than their sum . One of the numbers must be:

a)      1

b)      2

c)       3

d)      None of these

39.       The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is :

a)      380

b)      395

c)       400

d)      425

40.       The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is:

a)      240

b)      270

c)       295

d)      360

ANSWERS 

EXERCISE 7A (OBJECTIVE TYPE QUESTIONS IN 31 35 SOLUTION )

31.       One-fifth of a number is equal to 5/8 of another number. If 35is added to the first number, it becomes four times of the second number. The second number is:

a)      25

b)      40

c)       70

d)      125

32.       The sum of two numbers is 25 and their difference is 13. Find their product.

a)      104

b)      114

c)       315

d)      325

33.        If the sum of two numbers is 33 and their difference is 15, the smaller numbers is:

a)      9

b)      12

c)       15

d)      18

34.       The sum, of two numbers is 40 and their difference is 4. The ratio of the numbers is:

a)      11: 9

b)      11:18

c)       21:19

d)      22:9

35.       The product of two numbers is 192 and the sum of these two numbers is 28, what is the smaller of these two numbers?

a)      12

b)      14

c)       16

d)      18

e)      None of these 

ANSWERS