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If p is a number between 0 and 1, which one of the following true?

p>

1/p2 >

p <1/p

p3 > p2

The value of (-1/216)-2/3 is:

1/36

- 1/36

- 36

36

If = 2.236, then the value of /2 – 10/ + is equal to:

7.826

8.944

5.59

10.062

If one-eighth of a pencil is black, half of the remaining is yellow and the remaining 3 ½ cm is blue, then the total length of the pencil is:

6 cm

7 cm

8 cm

11 cm

In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes, 4 mangoes cost, as much as 9 lemons. If 3 lemons cost 48 paise, the price of an orange is:

12 paise

14 paise

13 paise

15 paise

Which of the following is the largest number?

31/3

51/5

21/2

71/7

1.236 x 1015 – 5.23 x 1014 equals:

7.13 x 1014

7.13

71.3

-3.994

11 x 11 -21/ 9 x 6 – (2)2 =

0

21/52

103

20

The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is:

12

48

84

108

If one-third of a number is 3 more than one-fourth of the number, then what is the number?

18

24

30

3614.

Three-fourths of 68 is less than two-thirds of 114 by:

12

25

35

48

Which is the smallest of the following numbers?

2/3

-1.5

5/3

-1.375

Which of the following pairs of fractions adds up to a number greater than 5?

13/5, 11/6

11/4, 8/3

7/3, 11/5

5/3, ¾

The unit’s digit in the product 735 x 371 x 1155 is:

1

3

7

9

The next number of the sequence 5,25,50,250,500…. Is:

2500

1250

1000

250

The number zero (0) is surrounded by the same 2-digit number on both (left and right) the sides; for example, 25025, 67067, etc. The largest number that always divides such a number is:

7

11

13

1001

The number of 3-digit numbers exactly divisible by 5 is:

181

180

179

199

How many of the following numbers are divisible by 132? 264,396,4,762,792,968,2178,5184,6336

4

5

6

7

In an examination, 35% of the candidates failed in one subject and 42% failed in another subject. While 15% failed in both the subjects. If 2500 candidates appeared at the examination, how many students passed in either subject but not in both?

325

1175

2125

None of these

Which is the smallest of the following numbers?

1/

/7

1/7

Fill in the blanks to make the statement true: (3/5 x -5/10) = (3/5) x ….

-5/8

4/8

8/5

3/8

In the following number series there is a wrong number. Find out the number. 56, 72, 90, 108, 132

72

132

108

None of these

A boy was asked to write 25 x 92 but he wrote 2592. The numerical difference between the two is:

0

1

2

3

A number of points are marked on a plane and are connected pairwise by a line segment. If the total number of line segments is 10, how many points are marked on the plane?

4

10

5

9

There are 6 parallel vertical lines and 7 parallel horizontal lines. These two groups of parallel lines intersect each other. How many parallelograms will be formed?

294

42

315

None of these

Which of the following is not the reciprocal of (2/3)4 ?

(3/2)4

(2/3)-4

(3/2)-4

34/24

In a group of buffaloes and ducks, the numbers of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?

6

12

8

None of these

A certain type of wooden board is sold only in lengths of multiples of 25 cm from 2 to 10 metres. A carpenter needs a large quantity of this type of board in 1.65 metre lengths. For the minimum waste, the length to be purchased should be:

3.30 m

6.60 m

8.25 m

9.95 m

If 9x = 9/3x then x is :

1/3

2/3

3

4/3

The value of (1/4)-2 is:

2

-1/2

-1/16

16

If the sum of the digits of an even number is divisible by 9, then that number is always divisible by:

24

12

18

27

In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students?

35

42

52

60

In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers?

10

15

20

25

X is what per cent of 4/5 th of X?

75

80

120

125

Square root of 117649 is:

347

343

353

357

Cube root of 658503 is:

83

77

87

97

What is the missing figure in the expression given below? 16/7 x 16/7 - */7 x 9/7 + 9/7 x 9/7 = 1

1

7

4.57

32

Which of the following groups of fractions is arranged in ascending order?

5/16, 7/18, 6/17

7/18, 6/17, 5/16

5/16, 6/17, 7/18

6/17, 7/18, 5/16

Ina science talent examination, 50% of the candidates fail in Mathematics and 50% fail in Physics. If 20% fail in both of these subjects, then the percentage of candidates who pass in both Mathematics and Physics is:

0%

20%

25%

50%

If the fractions 9/13,3/2,8/11,5/7 are arranged in ascending order, then the correct sequence is:

9/13,2/3,8/11,5/7

2/3,9/13,5/7,8/11

2/3/8/11,5/7,9/13

5/7,8/11,2/3,9/13

96 + 7, when divided by 8, would have remainder of :

0

6

5

None of these

The highest power of 9 dividing 99! Completely is:

20

24

22

11

Both A and C are correct

Both A and B are correct

Only A is correct

Only C is correct

If the numerator and the denominator of proper fraction are increased by the same quantity, then the resulting fraction is :

Always greater than the original fraction

Always less than the original fraction

Always equal to the original fraction

None of the above

In a survey it was found that 65% of the people watched news on TV, 40% read newspaper, 25% read newspaper and watched TV. What percentage of people neither watched TV not read newspaper?

0%

5%

10%

20%

What is the least fraction which, when added to or subtracted from 20/12 + 15/16, will make the result a whole number ?

21/38

31/38

31/48

17/48

How many five-digit multiples of 11 are there, if the five digits are 3,4,5,6 and 7 in the same order?

12

13

10

None of these

(28 - 10)1/2 – (7 + 4 ) -1/2 =

4

5

3

4.3

A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?

1074

1075

1000

None of these

The smallest number by which 3600 can be divided to make it a perfect cube is:

9

50

300

450

p>

1/p2 >

p <1/p

p3 > p2

The value of (-1/216)-2/3 is:

1/36

- 1/36

- 36

36

If = 2.236, then the value of /2 – 10/ + is equal to:

7.826

8.944

5.59

10.062

If one-eighth of a pencil is black, half of the remaining is yellow and the remaining 3 ½ cm is blue, then the total length of the pencil is:

6 cm

7 cm

8 cm

11 cm

In a certain shop, 9 oranges cost as much as 5 apples, 5 apples cost as much as 3 mangoes, 4 mangoes cost, as much as 9 lemons. If 3 lemons cost 48 paise, the price of an orange is:

12 paise

14 paise

13 paise

15 paise

Which of the following is the largest number?

31/3

51/5

21/2

71/7

1.236 x 1015 – 5.23 x 1014 equals:

7.13 x 1014

7.13

71.3

-3.994

11 x 11 -21/ 9 x 6 – (2)2 =

0

21/52

103

20

The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is:

12

48

84

108

If one-third of a number is 3 more than one-fourth of the number, then what is the number?

18

24

30

3614.

Three-fourths of 68 is less than two-thirds of 114 by:

12

25

35

48

Which is the smallest of the following numbers?

2/3

-1.5

5/3

-1.375

Which of the following pairs of fractions adds up to a number greater than 5?

13/5, 11/6

11/4, 8/3

7/3, 11/5

5/3, ¾

The unit’s digit in the product 735 x 371 x 1155 is:

1

3

7

9

The next number of the sequence 5,25,50,250,500…. Is:

2500

1250

1000

250

The number zero (0) is surrounded by the same 2-digit number on both (left and right) the sides; for example, 25025, 67067, etc. The largest number that always divides such a number is:

7

11

13

1001

The number of 3-digit numbers exactly divisible by 5 is:

181

180

179

199

How many of the following numbers are divisible by 132? 264,396,4,762,792,968,2178,5184,6336

4

5

6

7

In an examination, 35% of the candidates failed in one subject and 42% failed in another subject. While 15% failed in both the subjects. If 2500 candidates appeared at the examination, how many students passed in either subject but not in both?

325

1175

2125

None of these

Which is the smallest of the following numbers?

1/

/7

1/7

Fill in the blanks to make the statement true: (3/5 x -5/10) = (3/5) x ….

-5/8

4/8

8/5

3/8

In the following number series there is a wrong number. Find out the number. 56, 72, 90, 108, 132

72

132

108

None of these

A boy was asked to write 25 x 92 but he wrote 2592. The numerical difference between the two is:

0

1

2

3

A number of points are marked on a plane and are connected pairwise by a line segment. If the total number of line segments is 10, how many points are marked on the plane?

4

10

5

9

There are 6 parallel vertical lines and 7 parallel horizontal lines. These two groups of parallel lines intersect each other. How many parallelograms will be formed?

294

42

315

None of these

Which of the following is not the reciprocal of (2/3)4 ?

(3/2)4

(2/3)-4

(3/2)-4

34/24

In a group of buffaloes and ducks, the numbers of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?

6

12

8

None of these

A certain type of wooden board is sold only in lengths of multiples of 25 cm from 2 to 10 metres. A carpenter needs a large quantity of this type of board in 1.65 metre lengths. For the minimum waste, the length to be purchased should be:

3.30 m

6.60 m

8.25 m

9.95 m

If 9x = 9/3x then x is :

1/3

2/3

3

4/3

The value of (1/4)-2 is:

2

-1/2

-1/16

16

If the sum of the digits of an even number is divisible by 9, then that number is always divisible by:

24

12

18

27

In a class, 20 opted for Physics, 17 for Maths, 5 for both and 10 for other subjects. The class contains how many students?

35

42

52

60

In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers?

10

15

20

25

X is what per cent of 4/5 th of X?

75

80

120

125

Square root of 117649 is:

347

343

353

357

Cube root of 658503 is:

83

77

87

97

What is the missing figure in the expression given below? 16/7 x 16/7 - */7 x 9/7 + 9/7 x 9/7 = 1

1

7

4.57

32

Which of the following groups of fractions is arranged in ascending order?

5/16, 7/18, 6/17

7/18, 6/17, 5/16

5/16, 6/17, 7/18

6/17, 7/18, 5/16

Ina science talent examination, 50% of the candidates fail in Mathematics and 50% fail in Physics. If 20% fail in both of these subjects, then the percentage of candidates who pass in both Mathematics and Physics is:

0%

20%

25%

50%

If the fractions 9/13,3/2,8/11,5/7 are arranged in ascending order, then the correct sequence is:

9/13,2/3,8/11,5/7

2/3,9/13,5/7,8/11

2/3/8/11,5/7,9/13

5/7,8/11,2/3,9/13

96 + 7, when divided by 8, would have remainder of :

0

6

5

None of these

The highest power of 9 dividing 99! Completely is:

20

24

22

11

Both A and C are correct

Both A and B are correct

Only A is correct

Only C is correct

If the numerator and the denominator of proper fraction are increased by the same quantity, then the resulting fraction is :

Always greater than the original fraction

Always less than the original fraction

Always equal to the original fraction

None of the above

In a survey it was found that 65% of the people watched news on TV, 40% read newspaper, 25% read newspaper and watched TV. What percentage of people neither watched TV not read newspaper?

0%

5%

10%

20%

What is the least fraction which, when added to or subtracted from 20/12 + 15/16, will make the result a whole number ?

21/38

31/38

31/48

17/48

How many five-digit multiples of 11 are there, if the five digits are 3,4,5,6 and 7 in the same order?

12

13

10

None of these

(28 - 10)1/2 – (7 + 4 ) -1/2 =

4

5

3

4.3

A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have?

1074

1075

1000

None of these

The smallest number by which 3600 can be divided to make it a perfect cube is:

9

50

300

450

eeeeeeeeeeeeee

eeeee

eeeeee

eeeeee

eeee

eeee

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eeeee

eeee

eeee

eeeee

eeeeee

eeee

eeeee

This is a set of 50 questions of Mathematic. The questions are mainly focusing on the Number system and Set Theory.

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