Math for SSC - Staff Selection Commission Maths

A number when divided by 899 gives a remainder 63. If the same number is divided by 29, the remainder will be:

10

5

4

2

A six-digit number is formed by repeating a three-digit number; for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by :

7 only

11 only

13 only

1001

The smallest number to be added to 1000, so that 45 divides the sum exactly, is :

35

80

20

10

The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is :

6400

6480

400

480

The product of two positive numbers is 11520 and their quotient is 9/5. Find the difference of two numbers.

60

64

74

70

When a number is divided by 56, the remainder obtained is 29. What will be the remainder when the number is divided by 8 ?

4

5

3

7

A student was asked to multiply a number by 3/2 but he divided that number by

3/2 . His result was 10 less than the correct answer. The number was :

10

12

15

20

How many natural numbers divisible by 7 are there between 3 and 200 ?

27

28

29

36

A number when divided successively by 4 and 5 leaves remainder 1 and 4 respectively. When it is successively divided by 5 and 4 the respective remainders will be

4, 1

3, 2

2, 3

1, 2

The sum of first sixty numbers from one to sixty is divisible by

13

59

60

61

A number when divided by 3 leaves a remainder 1. When the quotient is divided by 2, it leaves a remainder 1. What will be the remainder when the number is divided by 6?

3

4

5

2

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 :

395

380

400

425

Which of the following number is NOT divisible by 18 ?

54036

50436

34056

65043

If two numbers are each divided by the same divisor, the remainders are respectively 3 and 4. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is

9

7

5

3

64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is

184

224

234

296

A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

11

9

5

3

A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ?

1

2

3

4

47 is added to the product of 71 and an unknown number. The new number is divisible by 7 giving the quotient 98. The unknown number is a multiple of

2

5

7

3

A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the

answer. The correct answer should have been

124

122

118

114

If the sum of the two numbers is 120 and their quotient is 5, then the difference of the two numbers is–

115

100

80

72

If the number formed by the last two digits of a three digit integer is an integral multiple of 6, the original integer itself will always be divisible by

6

3

2

12

Two numbers 11284 and 7655, when divided by a certain number of three digits, leaves the same remainder. The sum of digits of such a three-digit number is

8

9

10

11

The smallest number that must be added to 803642 in order to obtain a multiple of 11 is

1

4

7

999 998/999 x999 is equal to :

998999

999899

989999

999989

By which number should 0.022 be multiplied so that product becomes 66 ?

3000

3200

4000

3600

The least number, which must be added to 6709 to make it exactly divisible by 9, is

5

4

7

2

If the sum of the digits of any integer lying between 100 and 1000 is subtracted from the number, the result always is

divisible by 6

divisible by 2

divisible by 9

divisible by 5

What least number, of 5 digits is divisible by 41?

10045

10004

10041

41000

How many numbers between 1000 and 5000 are exactly divisible by 225 ?

16

18

19

12

The least number, which is to be added to the greatest number of 4 digits so that the sum may be divisible by 345, is

50

6

60

5

5349 is added to 3957. Then 7062 is subtracted from the sum. The result is not divisible by

4

3

7

11

The product of all the prime numbers between 80 and 90 is

83

89

7387

598347

The sum of four numbers is 48. When 5 and 1 are added to the first two; and 3 and 7 are subtracted from the 3rd and 4th, the numbers will be equal. The numbers are

9, 7, 15, 17

4, 12, 12, 20

5, 11, 13, 19

6, 10, 14, 18

The difference between the greatest and the least four digit numbers that begin with 3 and ends with 5 is

999

900

990

909

The sum of two numbers is 75 and their difference is 25. The product of the two numbers is:

1350

1250

125

1000

The sum of three consecutive odd natural numbers is 147. Then, the middle number is :

47

48

49

51

The sum of first 20 odd natural numbers is equal to :

210

300

400

420

The sum of all natural numbers from 75 to 97 is :

1598

1798

1958

1978

The sum of all natural numbers between 100 and 200, which are multiples of 3 is :

5000

4950

4980

4900

The sum of the squares of three consecutive natural numbers is 2030. Then, what is the middle number?

25

26

27

28

What is the sum of two consecutive even numbers, the difference of whose square is 84?

38

34

42

46

The sum of first 50 odd natural numbers is

1000

1250

5200

2500

The sum of all the 3-digit numbers is

98901

494550

8991

899

The sum of all even numbers between 21 and 51 is

518

540

560

596

Find three consecutive numbers such that twice the first, three times the second and four times the third together make 191.

19, 20, 21

21, 22, 23

20, 21, 22

22, 23, 24

The sum of three consecutive natural numbers each divisible by 3 is 72. What is the largest among them?

21

24

27

36

If we write 45 as sum of four numbers so that when 2 is added to first number, 2 subtracted from second number, third multiplied by 2 and fourth divided by 2, we get the same result, then the four numbers are:

1, 8, 15, 21

8, 12, 5, 20

8, 12, 10, 15

2, 12, 5, 26

If * means adding 6 times the second number to the first number then (1 * 2) * 3 equals:

121

31

93

91

Numbers 2, 4, 6, 8, 10, ....., 196, 198, 200 are multiplied together. The number of zeros at the end of the product on the right will be equal to —

21

22

24

25

Sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals?

8/75

1/40

75/8

75/4

800 chocolates were distributed among the students of a class. East student got twice as many chocolates as the number of students in the class. The number of students in the class was :

25

30

35

20

How many digits in all are required to write numbers from 1 to 50?

100

92

91

50

If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is:

2

3

4

6

The sum of the squares of two positive numbers is 100 and difference of their squares is 28. Find the sum of the numbers:

12

13

14

15

The product of two numbers is 120. The sum of their squares is 289. The difference of these two numbers is

9

7

8

6

Thrice the square of a natural number decreased by four times the number is equal to 50 more than the number. The number is:

4

5

10

6

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 times the number obtained by reversing the digits equals 108. The sum of digits in the number is :

8

9

6

7

Of the three numbers, the second is twice the first and it is also thrice the third. If the average of three numbers is 44, the difference of the first number and the third number is :

24

18

12

6

7 is added to a certain number; the sum is multiplied by 5; the product is divided by 9 and 3 is subtracted from the quotient. Thus if the remainder left is 12, what was the original number ?

30

20

40

60

A farmer divides his herd of n cows among his four sons so that the first son gets one – half the herd, the second son gets one – fourth, the third son gets one – fifth and the fourth son gets 7 cows. The value of n is

80

100

140

180

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 75 questions and secures 125 marks, the number of questions he attempts correctly is

35

40

42

46

A man ate 100 grapes in 5 days. Each day, he ate 6 more grapes than those he ate on the earlier day. How many grapes did he eat on the first day ?

8

12

54

76

In a three-digit number, the digit at the hundred’s place is two times the digit at the unit’s place and the sum of the digits is 18. If the digits are reversed, the number is reduced by 396. The difference of hundred’s and ten’s digit of the number is

1

2

3

5

Find the number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number.

a. 5

b. 6

c. 7

d. 8

Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number

a. 3

b. 4

c. 6

d. 9

The sum of a rational number and its reciprocal is 13/6 . Find the number

The difference of two numbers is 11 and one fifth of their sum is 9. Find the numbers

3/4th of a number exceeds its 2/3rd by 8. What is the number?

a. 96

b. 36

c. 72

d. 144

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

A number exceeds by 25 from its 3/8 part. Then the number is?

a. 32

b. 35

c. 39

d. 40

Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?

a. 6, 9

b. 10, 5

c. 7, 8

d. 9, 6

Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?

1. 65, 15

2. 64, 16

3. 62, 18

4. 60, 20

A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

a. 42

b. 84

c. 21

d. 24

If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5?

a. 9 2/3

b. 10

c. 10 1/5

d. 11 1/5

e. None of these

Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?

a. 148

b. 210

c. 126

d. 248

The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

a. 3

b. 5

c. 7

d. 11

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

a. 3.5

b. 6

c. 8

d. None of these

If doubling the number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is

a. 2

b. 3

c. 4

d. 6

If the sum of one-half and one fifth of a number exceeds one-third of that number by 7 1/3, the number is

a. 15

b. 18

c. 20

d. 30

The sum of a number and its reciprocal is one-eigth of 34. What is the product of the number and its square root?

a. 8

b. 27

c. 32

d. 64

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

a. 26

b. 28

c. 29

d. 30

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

a. 9

b. 11

c. 13

d. 15

If 2 ½ is added to a number and the sum is multiplied by 4 ½ and 3 is added to the product and then dividing the sum by 1 1/5, the quotient becomes 25. What is the number?

a. 2 ½

b. 3 ½

c. 4 ½

d. 5 ½

The sum of three numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is

a. 48

b. 54

c. 72

d. 84

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

a. 12,5

b. 13,4

c. 14,3

d. 24,10

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

This Lecture Contains video on Divisibility concept and Problems on Divisibility for practice.

Which one of the following numbers is divisible by 3?

1. 4006020

2. 2345678

3. 2876423

4. 9566003

The number 89715938* is divisible by 4. The unknown non-zero digit marked as * will be

1. 2

2. 3

3. 4

4. 6

Which one of the following numbers is divisible by 15?

1. 17325

2. 23755

3. 29515

4. 30560

Which one of the following numbers is divisible by 11?

1. 4823718

2. 4832718

3. 8423718

4. 8432718

7386038 is divisible by

1. 3

2. 4

3. 9

4. 11

111,111,111,111 is divisible by

1. 3 and 37 only

2. 3, 11 and 37 only

3. 3, 11, 37 and 111 only

4. 3, 11, 37, 111 and 100

Consider the following statements:

The numbers 24984, 26784 and 28584 are

(1) divisible by 3

(2) divisible by 4

(3) divisible by 9

Which of these are correct?

1. 1 and 2

2. 2 and 3

3. 1 and 3

4. 1, 2 and 3

Which of the following numbers are completely divisible by 7?

I. 195195

II. 181181

III. 120120 IV. 891891

1. Only I and II

2. Only II and III

3. Only I and IV

4. Only II and IV

5. All are divisible

If n be any natural number then by which largest number (n3 – n) is always divisible?

1. 3

2. 6

3. 12

4. 18

How many of the following numbers are divisible by 3 but not by 9?

2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

1. 5

2. 6

3. 7

4. None of these

The smallest five digit number which is exactly divisible by 476 is,

1. 47600

2. 10000

3. 10476

4. 10472

A 4 digit number is formed by repeating a 2 digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by

1. 7

2. 11

3. 13

4. Smallest 3 digit prime number

What least number would be subtracted from 427398 so that the remaining number is divisible by 15?

1. 6

2. 3

3. 16

4. 11

5. None of these

The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

1. 8100

2. 17600

3. 44100

4. None of these

How many numbers between 200 and 600 are divisible by 4,5 and 6?

1. 5

2. 6

3. 7

4. 8

One-fourth of a tank holds 135 litres of water. What part of the tank is full if it contains 180 litres of water?

2/5

2/3

1/3

1/6

What is two-third of half of 369?

123

246

246 3/8

271 3/4

1/5 of a number exceeds 1/7 of the same number by 10. The number is:

125

150

175

200

In a class, 3/5 of the students are girls and rest are boys. If 2/9 Of the girls and 1/4 of the boys are absent. What part of the total number of students are present?

23/30

23/36

18/49

17/25

Fraction between 2/5 and 4/9 is :

3/7

2/3

4/5

1/2

If 3 times a number exceeds its 3/5 by 60, then what is the number?

25

35

45

60

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

7/4

7/6

7/3

4/5

What fraction of 4/7 must be added to itself to make the sum 11⁄14 ?

7/8

1/2

4/7

15/14

Two-third of a positive number and 25/216 of its reciprocal are equal. The number is

25/144

5/12

144/25

12/5

A man spends 1/3 of his income on food, 2/5 of his income on house rent and 1/5 of his income on clothes. If he still has 400 left with him, his income is

4000

5000

6000

7000

By how much does 6 / (7⁄8) exceed (6⁄7) / 8

61⁄8

6¾

7¾

7⅚

Which of the following fraction is greater than 3/4 but less than 5/6?

2/3

1/2

4/5

9/10

A man read 2/5th of a book on the first day. He read 1/3rd more on second day than he read on the first day. 15 pages were left for the third day. The number of pages in the book is

100

105

225

250

1/10 of a rod is colored red, 1/20 orange, 1/30 yellow, 1/40 green, 1/50 blue, 1/60 black and the rest is violet. If the length of the violet portion of the rod is 12.08 meters, then the length of the rod is

16 m

18 m

20 m

30 m

The denominator of a fraction is 3 more than its numerator. If the numerator is increased by 7 and the denominator is decreased by 2, we obtain 2. The sum of numerator and denominator of the fraction is

5

13

17

19

A fraction becomes 1/3 when 1 is subtracted from both the numerator and the denominator. The same fraction becomes ½ when 1 is added to both the numerator and the denominator. The sum of numerator and denominator of the fraction is

10

18

7

16

A, B, C and D purchase a gift worth 60. A pays ½ of what others are paying, B pays ⅓ of what others are paying and C pays ¼ of what others are paying. What is the amount paid by D ?

16

13

14

15

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7 + c (c > –7) is a constant, then the minimum value of the fraction is

5

⅕

-5

-⅕

Which of the following fraction is the smallest? 7/6, 7/9, 4/5, 5/7

a.7/6

b.7/9

c.4/5

d.5/7

Which of the following is the largest fraction ? 6/7, 5/6, 7/8, 4/5

a.6/7

b.5/6

c.7/8

d.4/5

The least number among 4/9,√(9/49), 0.45 and (0.8)^2 is

a.4/9

b.√(9/49)

c.0.45

d.(0.8)^2

The greatest among the following numbers 3^(1/3),2^(1/2),1,6^(1/6)

a.3^(1/3)

b.2^(1/2)

c.1

d.6^(1/6)

Sum of three fractions is 2 24/11. On dividing the largest fraction by the smallest fraction, 7/6 is obtained which is 1/3 greater than the middle fraction. The smallest fraction is

a.5/8

b.3/4

c.5/6

d.3/7

Arrangement of the fractions 4/3 , (-2)/9 , (-7)/8 , 5/12 into ascending order is

a.(-7)/8 , (-2)/9 , 5/12 , 4/3

b.(-7)/8 , (-2)/9 ,4/3 , 5/12

c.(-2)/9 ,(-7)/8 , 5/12 , 4/3

d.(-7)/8 , (-2)/9 , 4/3, 5/12

Which of the following is correct?

a.2/3<3/5<11/15

b.3/5<2/3<11/15

c.11/15<3/5<2/3

d.3/5<11/15<2/3

The LCM of two numbers is 864 and their HCF is 144. If one of the number is 288, the other number is:

a.576

b. 1296

c. 432

d. 144

The HCF of two numbers 12906 and 14818 is 478. Their LCM is

a.400086

b. 200043

c. 600129

d. 800172

The H.C.F. and L.C.M. of two 2- digit numbers are 16 and 480 respectively. The numbers are :

40, 48

60, 72

64, 80

80, 96

The product of two numbers is 4107. If the H.C.F. of the numbers is 37, the greater number is

185

111

107

101

The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is

0

1

2

3

The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is

5

25

100

125

Product of two co-prime numbers is 117. Then their L.C.M. is

117

9

13

39

The HCF and LCM of two numbers are 13 and 455 respectively. If one of the numbers lies between 75 and 125, then, that number is:

78

91

104

117

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is :

276

299

345

322

The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?

8

12

24

35

The H.C.F. and L.C.M. of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is

147

528

132

264

The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :

46

48

50

56

Find the greatest number of five digits which when divided by 3, 5, 8, 12 have 2 as remainder :

99999

99958

99960

99962

The least multiple of 13, which on dividing by 4, 5, 6, 7 and 8 leaves remainder 2 in each case is:

2520

842

2522

840

A, B, C start running at the same time and at the same point in the same direction in a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds. After what time will they meet again at the starting point ?

26 minutes 18 seconds

42 minutes 36 seconds

45 minutes

46 minutes 12 seconds

Find the largest number of four digits such that on dividing by 15, 18, 21 and 24 the remainders are 11, 14, 17 and 20 respectively.

6557

7556

5675

7664

The least perfect square, which is divisible by each of 21, 36 and 66 is

214344

214434

213444

231444

Let the least number of six digits which when divided by 4, 6, 10, 15 leaves in each case same remainder 2 be N. The sum of digits in N is :

3

5

4

6

Which is the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

2520

1260

630

96

The least number which when divided by 4, 6, 8 and 9 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is :

144

72

36

85

A number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is :

1539

539

359

1359

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is

76

94

184

364

The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds respectively. If they all change simultaneously at 10 : 15 : 00 AM, then at what time will they again change simultaneously?

10 : 16 : 54 AM

10 : 18 : 36 AM

10 : 17 : 02 AM

10 : 22 : 12 AM

Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at some time. They will again ring simultaneously after

6 minutes

12 minutes

18 minutes

24 minutes

L.C.M. of 2/3, 4/9, 5/6 is

8/27

20/3

10/3

20/27

The number nearest to 10000, which is exactly divisible by each of 3, 4, 5, 6, 7 and 8, is :

9240

10080

9996

10000

The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of four numbers?

17

14

21

24

The LCM of two prime numbers x and y, (x > y) is 161. The value of (3y – x) :

–2

–1

1

2

The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is :

91

910

1001

1911

The greatest number, which when divide 989 and 1327 leave remainders 5 and 7 respectively, is :

8

16

24

32

H.C.F of 2/3, 4/5 and 6/7 is

48.105

2/105

1/105

24/105

Let N be the greatest number that will divide 1305, 4665 and 6905 leaving the same remainder in each case. Then, sum of the digits in N is :

4

5

6

8

Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

18

30

45

60

The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is

24

23

21

6

A milkman has 75 litres milk in one can and 45 litres in another. The maximum capacity of container which can measure milk of either container exact number

of times is :

1 litre

5 litres

15 litres

25 litres

What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

840

841

820

814

Three sets of English, Mathematics and Science books containing 336, 240, 96 books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. Total number of stacks will be

14

21

22

48

A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively

15 and 228

9 and 380

45 and 76

46 and 75

The LCM and the HCF of the numbers 28 and 42 are in the ratio :

6 : 1

2 : 3

3 : 2

7 : 2

If the ratio of two numbers is 2 : 3 and their L.C.M. is 54, then the sum of the two numbers is

5

15

45

270

Three numbers are in the ratio 2 : 3 : 4 and their H.C.F. is 12. The L.C.M. of the numbers is

144

192

96

72

The ratio of the sum to the LCM of two natural numbers is 7 : 12. If their HCF is 4, then the smaller number is :

20

16

12

8

The H.C.F. and L.C.M. of two numbers are 21 and 84 respectively. If the ratio the two numbers is 1 : 4, then the larger of the two numbers is

12

108

48

84

The product of the LCM and HCF of two numbers is 24. The difference of the two numbers is 2. Find the numbers ?

8 and 6

8 and 10

2 and 4

6 and 4

The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100, then their difference is :

10

46

70

90

The sum of the H.C.F. and L.C.M of two numbers is 680 and the L.C.M. is 84 times the H.C.F. If one of the number is 56, the other is :

84

12

8

96

The sum of two numbers is 84 and their HCF is 12. Total number of such pairs of number is

2

3

4

5

The H.C.F. of two numbers, each having three digits , is 17 and their L.C.M. is 714. The sum of the numbers will be :

289

391

221

731

The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is :

12

6

8

10

The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is

1100

975

900

800

Let x be the smallest number, which when added to 2000 makes the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is

7

5

6

4

A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is

1451

1641

1712

1523

The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is

12

72

96

132

Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

3013

3024

3002

3036

The greatest number, that divides 122 and 243 leaving respectively 2 and 3 as remainders, is

12

24

30

120

If P = 23.310.5 ; Q = 25.3.7, then HCF of P and Q is :

2.3.5.7

3.23

22.37

25.310.5.7

A fraction becomes 1/6 when 4 is subtracted from its numerator and 1 is added to its denominator. If 2 and 1 are respectively added to its numerator and the denominator, it becomes 1/3. Then, the LCM of the numerator and denominator of the said fraction, must be

14

350

5

70

The number of pair of positive integers whose sum is 99 and HCF is 9 is

2

3

4

5

Assume that : √13 = 3.605 (approximately) , √130 = 11.40 (approximately)

Find the value of : √13 + √130 +√0.013

36.164

36.304

37.304

37.164

On Simplification of ( 2.644²-2.356² ) / ( 0.288 )

1

4

5

6

( √72 - √18 ) ÷ √12 is equal to

√6

√3/2

√2/3

√6/2

The Value of  ( √80 - √112 ) / ( √45 - √63 )

¾

1¾

1⅓

17⁄9

√5+(√11+(√19+(√29+(√49)))) is

3

9

5

7

The Value of √ { [ (0.03)² + (0.21)² + ( 0.065)² ] / [ (0.003)² + (0.021)² + ( 0.0065)² ] } is

0.1

10

10²

10³

The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is

30

33

36

45

The number of digits in the square root of 625686734489 is

4

5

6

7

The number of pairs of natural numbers, the difference of whose squares is 45 will be

2

3

6

5

The smallest 4-digit number, which is a perfect square, is

1009

1016

1024

1025

The smallest number added to 680621 to make the sum a perfect square is :

4

5

6

8

The smallest positive integer, when multiplied by 392, the product is a perfect square, is

6

5

3

2

The number of perfect square numbers between 50 and 1000 is

21

22

23

24

Twenty one times of a positive number is less than its square by 100. The value of the positive number is

25

26

42

41

A General of Army wants to form a square from 36562 armies. After arrangement, he found some armies left. How many armies were left ?

81

36

97

65

If a = 64 and b= 289, then the value of

{ ( √( √a + √b ) - √( √a + √b ) } ¹⁄²

2¹⁄²

2

4

-2

The sum of the cubes of the numbers 22, –15 and –7 is equal to

6930

9630

3

0

By which smallest number 1323 must be multiplied, so that it becomes a perfect cube?

2

3

5

7

Sum of digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube, is

4

6

7

8

Which smallest number must be added to 710 so that the sum is a perfect cube ?

29

19

11

21

The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is :

3

4

5

6

What is the smallest number by which 625 must be divided so that the quotient is a perfect cube ?

25

5

2

3

The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference of the two numbers is

7

6

5

8

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is :

5824¹⁄³

28

24

14

If cube root of 175616 is 56, then the value of

∛175.616 + ∛0.175616 + ∛0.000175616 is equal to :

0.168

62.16

6.216

6.116

∛ ( 4 12⁄125 ) is equal to

1.4

1.6

1.8

2.4

[ - ( 4-6 )² - 3 ( -2 ) + | -6 | ] / [ 18  -9 ÷ 3 x 5 ]

3/8

4/7

8/3

7/4

( 5/3 x 7/51 of 17/5 -1/3 ) / ( 2/9 x 5/7 of 28/5 - 2/3 )

1/2

4

2

1/4

8½ - [ 3¼ ÷ { 1¼ - ½ ( 1½ - ⅓ - 1⁄6 ) } ]

4½

41⁄6

9½

2⁄9

⅑ + ⅕ + 1⁄12 + 1⁄20 + 1⁄30 + 1⁄42 + 1⁄56 + 1⁄72

½

0

⅑

1⁄2520

25 - 5 [ 2 + 3 { 2 - 2 ( 5 - 3 ) + 5} - 10 ] ÷ 4

5

23.25

23.75

25

If I = ¾ ÷ ⅚ ,  II =  3 ÷ [ ( 4÷5 )÷6 ] , III =  [3÷(4÷5)]÷6 , IV = 3÷4 of (5÷6), then

I and II are Equal

I and IV are Equal

I and III are Equal

All are Equal

Simplify:

[ ( 1+½ ) / ( 1-½ ) ] ÷  [ 4/7 ( 2/5 + 3/10 ) of { ( ½+⅓ ) / ( ½+⅓ ) } ]

⅔

37½

3⁄2

18⅜

Which one of the following is the least?

√3 , ∛2 √2, , ∛4

√3

∛2

√2

∛4

Which of the following is the biggest?

³√4 ,  ⁴√6 , ⁶√15 , ¹²√245

³√4

⁴√6

⁶√15

¹²√245

Which of the following number is the least ?

0.5² , √0.49 , ∛0.008 , 0.23

0.5²

√0.49

∛0.008

0.23

The smallest of

√8+√5 , √7+√6 , √10+√3 and √11+√2

√8+√5

√7+√6

√10+√3

√11+√2

Which is the greatest among

√19 - √17 , √13 - √11 , √7 - √5 and √5 - √3

√19 - √17

√13 - √11

√7 - √5

√5 - √3

The greatest number among 2⁶⁰ , 3⁴⁸, 4³⁶ and 5²⁴ is

2⁶⁰

3⁴⁸

4³⁶

5²⁴

The greatest among the numbers

√0.09 , ∛0.064 , 0.5 , 3/5

√0.09

∛0.064

0.5

3/5

If the numbers ³√9 ,  ⁴√20 , ⁶√25 are arranged in ascending order, then the right arrangement is

⁶√25 < ⁴√20 < ³√9

³√9 < ⁴√20 < ⁶√25

⁴√20 < ⁶√25 < ³√9

⁶√25 < ³√9 < ⁴√20