Quantitative Aptitude - Number - Formula & Concept Quiz

The difference between the place value and the face value of 6 in the numeral 856973 is

• 1] 973
• 2] 6973
• 3] 5994
• 4] None of these

Find the last unit digit of 55^5 ( Using Euler Theorem)

• 1] 4
• 2] 5
• 3] 3
• 4] 8

Find the last 2 digit of 7^85 (Using Euler Theorem)

• 1] 07
• 2] 77
• 3] 87
• 4] 97

The Unit digit in the product (784 X 618 X 917 X463)

• 1] 1
• 2] 2
• 3] 3
• 4] 4

What is the unit digit { (6374)^1793 X (625)^317 X (341)^491 }

• 1] 1
• 2] 20
• 3] 7
• 4] 0

(1000)^9 / 10^24 =

• 1] 10
• 2] 100
• 3] 1000
• 4] 10000

35 + 15 X 1.5

• 1] 39.5
• 2] 43.5
• 3] 57.5
• 4] 72.3

3897 X 999

• 1] 3892109
• 2] 3893106
• 3] 3893103
• 4] 3929103

72519 X 9999

• 1] 725117481
• 2] 834782931
• 3] 747829383
• 4] 648392011

217 X 217 + 183 X 183

• 1] 89302
• 2] 80578
• 3] 79992
• 4] 70283

106 X 106 - 94 X 94

• 1] 9440
• 2] 9600
• 3] 9640
• 4] 9755

{(476 + 424)^2 - 4 X 476 X 424}

• 1] (52)^2
• 2] (53)^3
• 3] (52)^4
• 4] (53)^5

(112 X 5^4)

• 1] 6700
• 2] 67000
• 3] 70000
• 4] 76000

If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?

• 1] 2 or 6
• 2] 4
• 3] 4 or 8
• 4] 8
• 5] None of these

How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336

• 1] 4
• 2] 5
• 3] 6
• 4] 7

476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively:

• 1] 6 and 2
• 2] 8 and 2
• 3] 6 and 5
• 4] 8 and 5

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and the other digits are correct , then the correct answer would be :

• 1] 553681
• 2] 555181
• 3] 555681
• 4] 556581

What is the unit digit in {(6374)¹⁷⁹³ x (625)³¹⁷ x (341⁴⁹¹)}?

• 1] 5
• 2] 3
• 3] 2
• 4] 0

Which of the following is a prime number ?

• 1] 97
• 2] 93
• 3] 33
• 4] 81

The largest 4 digit number exactly divisible by 88 is:

• 1] 8888
• 2] 9944
• 3] 9768
• 4] 8888

• 1] 575648125
• 2] 585628125
• 3] 584638125
• 4] 584649125

• 1] 1951609
• 2] 1981709
• 3] 18362619
• 4] 2031719

What least number must be added to 1056, so that the sum is completely divisible by 23 ?

• 1] 18
• 2] 21
• 3] 3
• 4] 2

It is being given that (2³² + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

• 1]

  (2¹⁶ + 1)

• 2]

  (2¹⁶ - 1)

• 3]

  (7 x 2²³)

• 4]

  (2⁹⁶ + 1)

(112 x 5⁴) = ?

• 1]

  67000

• 2]

  70000

• 3]

  76500

• 4]

  77200

The sum of first 45 natural numbers is:

• 1]

  1035

• 2]

  1280

• 3]

  2070

• 4]

  2140

(?) - 19657 - 33994 = 9999

• 1]

  63650

• 2]

  59640

• 3]

  53760

• 4]

  61560

• 5]

  None of these

Which one of the following numbers is exactly divisible by 11?

• 1]

  235641

• 2]

  245642

• 3]

  315624

• 4]

  415624

The smallest 3 digit prime number is:

• 1]

  101

• 2]

  103

• 3]

  109

• 4]

  113

If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be

• 1]

  0

• 2]

  1

• 3]

  2

• 4]

  3

(12)³ x 6⁴ ÷ 432 = ?

• 1]

  5184

• 2]

  5060

• 3]

  5148

• 4]

  5084

The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?

• 1]

  295

• 2]

  240

• 3]

  270

• 4]

  360

The sum of first five prime numbers is:

• 1]

  11

• 2]

  18

• 3]

  26

• 4]

  28

5358 x 51 = ?

• 1]

  273258

• 2]

  273268

• 3]

  273348

• 4]

  273358

Which of the following number is divisible by 24 ?

• 1]

  35718

• 2]

  63810

• 3]

  537804

• 4]

  3125736

What will be remainder when (67⁶⁷ + 67) is divided by 68 ?

• 1]

  67

• 2]

  66

• 3]

  63

• 4]

  1

107 x 107 + 93 x 93 = ?

• 1]

  19578

• 2]

  19418

• 3]

  21908

• 4]

  20098

If n is a natural number, then (6n² + 6n) is always divisible by:

• 1]

  6 only

• 2]

  12 only

• 3]

  6 and 12 both

• 4]

  by 18 only

On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

• 1]

  4

• 2]

  5

• 3]

  6

• 4]

  7

The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

• 1]

  3/5

• 2]

  3/10

• 3]

  4/5

• 4]

  4/3

The difference between the local value and the face value of 7 in the numeral 32675149 is

• 1]

  75142

• 2]

  64851

• 3]

  5149

• 4]

  69993

If the number 481 * 673 is completely divisible by 9, then the smallest whole number in place of * will be:

• 1]

  4

• 2]

  5

• 3]

  6

• 4]

  7

(?) + 3699 + 1985 - 2047 = 31111

• 1]

  34748

• 2]

  27474

• 3]

  30154

• 4]

  27574

What is the unit digit in 27^20?

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

What is the unit digit in (4137) ⁷⁵⁴?

• 1]

  7

• 2]

  8

• 3]

  9

• 4]

  6

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

4320, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

• 1]

  5

• 2]

  6

• 3]

  7

• 4]

  None Of These

The difference between the squares of two consecutive odd integers is always divisible by:

• 1]

  3

• 2]

  6

• 3]

  7

• 4]

  8

If p and q are the two digits of the number 653pq such that this number is divisible by 80, then p+q is equal to :

• 1]

  5

• 2]

  4

• 3]

  3

• 4]

  2

A 3-digit number 4p3 is added to another 3-digit number 984 to give the four-digit number 13q7, which is divisible by 11. Then, (p + q) is :

• 1]

  9

• 2]

  10

• 3]

  11

• 4]

  12

What should be the maximum value of Q in the following equation?
5P9 – 7Q2 + 9R6 = 823

• 1]

  6

• 2]

  7

• 3]

  8

• 4]

  9

Find the sum to 200 terms of the series 1 + 4 + 6 + 5 + 11 + 6 + ....

• 1]

  29800

• 2]

  30200

• 3]

  31600

• 4]

  28480

A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by :

• 1]

  7

• 2]

  13

• 3]

  11

• 4]

  1001

If -1 ≤ a ≤ 2 and 1 ≤ b ≤ 3, then least possible value of (2a – 3b) is:

• 1]

  -7

• 2]

  -4

• 3]

  -8

• 4]

  -11

A girl multiplies 987 by a certain number and obtains 559981 as her answer. If in the answer, both 9’s are wrong but the other digits are correct, then the correct answer will be

• 1]

  555681

• 2]

  545681

• 3]

  544581

• 4]

  555490

The sum of first 49 natural numbers is ?

• 1]

  1275

• 2]

  1225

• 3]

  1205

• 4]

  1185

One-quarter of one-seventh of land is sold for Rs. 30,000. What is the value of an eight thirty-fifth of load?

• 1]

  1922200

• 2]

  1842010

• 3]

  1936200

• 4]

  1922000

If the number 653ab is divisible by 90, then (a + b) = ?

• 1]

  3

• 2]

  4

• 3]

  5

• 4]

  6

If (64)² - (36)² = 20 x a, then a = ?

• 1]

  115

• 2]

  140

• 3]

  132

• 4]

  176

What is the number in the unit place in (729)⁵⁹?

• 1]

  1

• 2]

  3

• 3]

  7

• 4]

  9

P is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2P is divided by 4?

• 1]

  0

• 2]

  1

• 3]

  2

• 4]

  3

How many prime numbers exist in 6⁷ x 35³ x 11¹⁰?

• 1]

  23

• 2]

  27

• 3]

  30

• 4]

  29

The difference between the two numbers is 2395. When the larger number is divided by the smaller ones, the quotient is 6 and the remainder is 15. The smaller number is

• 1]

  326

• 2]

  298

• 3]

  476

• 4]

  531

If x is a whole number, then x²(x² - 1) is always divisible by

• 1]

  12

• 2]

  24

• 3]

  36

• 4]

  16

How many terms are there in 2, 4, 8, 16,..., 1024?

• 1]

  9

• 2]

  10

• 3]

  11

• 4]

  12

A number is divided by 221, the remainder is 64. If the number be divided by 13 then the remainder will be

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

The digit in unit’s place of the product 71 × 72 × ..... × 79 is

• 1]

  2

• 2]

  0

• 3]

  6

• 4]

  4

How many numbers between 190 and 580 are divisible by 4,5 and 6?

• 1]

  6

• 2]

  7

• 3]

  8

• 4]

  9

The largest natural number which exactly divides the product of any four consecutive natural numbers is:

• 1]

  6

• 2]

  12

• 3]

  18

• 4]

  24

Which of the following number should be added to 11158 to make it exactly divisible by 77?

• 1]

  5

• 2]

  6

• 3]

  7

• 4]

  8

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

• 1]

  3

• 2]

  4

• 3]

  11

• 4]

  13

The smallest value of n, for which 2n+1 is not a prime number, is

• 1]

  3

• 2]

  4

• 3]

  5

• 4]

  6

Find the number of factors of 9321.

• 1]

  6

• 2]

  8

• 3]

  12

• 4]

  14