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

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is

• 1]

  10

• 2]

  11

• 3]

  12

• 4]

  13

If the 7^th term of a H.P. is 1/10 and the 12^th term is 1/25, then the 20^th term is

• 1]

  1/41

• 2]

  1/45

• 3]

  1/49

• 4]

  1/37

If three numbers be in G.P., then their logarithms will be in

• 1]

  AP

• 2]

  GP

• 3]

  HP

• 4]

   None Of This

If sum of n terms of an A.P. is 3n² + 5n and T^m = 164 then m =

• 1]

  26

• 2]

  27

• 3]

  28

• 4]

  None Of This

The two geometric means between the number 1 and 64 are

• 1]

  8 and 16

• 2]

  2 and 16

• 3]

  4 and 8

• 4]

  4 and 16

If the sum of the series 2 + 5 + 8 + 11 … is 60100, then the number of terms are

• 1]

  100

• 2]

  150

• 3]

  200

• 4]

  250

Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then

• 1]

  a = 7/4, r = 3/7

• 2]

  a = 2, r = 3/8

• 3]

  a = 3, r = 1/4

• 4]

  a = 3/2, r = ½

The sum of the first and third term of an arithmetic progression is 12 and the product of first and second term is 24, then first term is

• 1]

  4

• 2]

  1

• 3]

  8

• 4]

  6

If a, b, c are in A.P., then (a – c)²/ (b² – ac) =

• 1]

  3

• 2]

  4

• 3]

  1

• 4]

  2

What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

• 1]

  897

• 2]

  1,64,850

• 3]

  1,64,749

• 4]

  1,49,700

How many 2-digit positive integers are divisible by 4 or 9?

• 1]

  32

• 2]

  22

• 3]

  34

• 4]

  30

If log 2, log (2^x -1) and log (2^x + 3) are in A.P, then x is equal to ___

• 1]

   

  5/2

• 2]

  log₂5

• 3]

  log₃2

• 4]

   

  3/2

Find the n^th term of the following sequence :
5 + 55 + 555 + . . . . T_n

• 1]

   

  5(10ⁿ - 1) 

• 2]

   

  5ⁿ(10ⁿ - 1)

• 3]

  5/9×(10ⁿ−1)

     

• 4]

  (5/9)ⁿ×(10ⁿ−1)

The 2^nd and 8^th term of an arithmetic progression are 17 and -1 respectively. What is the 14^th term?

• 1]

  -19

• 2]

  -22

• 3]

  -20

• 4]

  -25

The 2^nd and 6^th term of an arithmetic progression are 8 and 20 respectively. What is the 20^th term?

• 1]

  56

• 2]

  62

• 3]

  65

• 4]

  69

The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:

• 1]

  9

• 2]

  10

• 3]

  11

• 4]

  12

What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?

• 1]

  192

• 2]

  230

• 3]

  102

• 4]

  204

The 3^rd and 7^th term of an arithmetic progression are -9 and 11 respectively. What is the 15^th term?

• 1]

  28

• 2]

  87

• 3]

  51

• 4]

  17

What is the sum of the first 12 terms of an arithmetic progression if the 3^rd term is -13 and the 6^th term is -4?

• 1]

  -30

• 2]

  41

• 3]

  -23

• 4]

  -34

The sum of first five multiples of 3 is:

• 1]

  90

• 2]

  72

• 3]

  55

• 4]

  45

In an A.P., if d = -4, n = 7, a_n = 4, then a is

• 1]

  6

• 2]

  7

• 3]

  20

• 4]

  28

Which term of the A.P. 92, 88, 84, 80, ...... is 0?

• 1]

  23

• 2]

  32

• 3]

  24

• 4]

  28

If a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is

• 1]

  -2

• 2]

  -3

• 3]

  2

• 4]

  3

Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = S_n – k S_n-1 + S_n-2 then k =

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is

• 1]

  5

• 2]

  10

• 3]

  12

• 4]

  14

How many terms are there in 20, 25, 30 . . . . . . 140?

• 1] 22
• 2] 25
• 3] 23
• 4] 24

Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.

• 1] 5
• 2] 6
• 3] 4
• 4] 3
• 5] 7

Find the 15th term of the sequence 20, 15, 10 . . . . .

• 1] -45
• 2] -55
• 3] -50
• 4] 0

The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is

• 1] 600
• 2] 765
• 3] 640
• 4] 680
• 5] 690

How many terms are there in the GP 5, 20, 80, 320........... 20480?

• 1] 5
• 2] 6
• 3] 8
• 4] 9
• 5] 7

A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?

• 1] 220
• 2] 220 -1
• 3] 219 -1
• 4] 219
• 5] None of these

If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?

• 1] 36
• 2] 18
• 3] 54
• 4] 24
• 5] 27

The 7th and 21st terms of an AP are 6 and -22 respectively. Find the 26th term

• 1] -34
• 2] -32
• 3] -12
• 4] -10
• 5] -16

After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.

• 1] 540 m
• 2] 960 m
• 3] 1080 m
• 4] 1020 m
• 5] 1120 m

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

• 1]

  \(\frac{{{3^{10}}}}{2}\)

• 2]

  310 - 210

• 3]

  243 × (35 -1)

• 4]

  310 - 25

• 5]

  None of these

A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.

• 1] 32 Cm2
• 2] 16 Cm2
• 3] 20 Cm2
• 4] 64 Cm2
• 5] None of these

The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:

• 1] 10
• 2] 12
• 3] 9
• 4] 8

Find the nth term of the following sequence :

• 1]

  5(10n - 1)

• 2]

  5n(10n - 1)

• 3]

  \(\frac{5}{9} \times \left( {{{10}^n} - 1} \right)\)

• 4]

  \({\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)\)

The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?

• 1] -22
• 2] -25
• 3] -19
• 4] -28

The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?

• 1] 56
• 2] 65
• 3] 59
• 4] 62

What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?

• 1] 68
• 2] 156
• 3] 142
• 4] 242

The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term?

• 1] -49
• 2] -44
• 3] -39
• 4] -34

The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?

• 1] 23
• 2] 17
• 3] 20
• 4] 26

What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?

• 1] 204
• 2] 121
• 3] 225
• 4] 104

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

• 1] 104
• 2] 140
• 3] 84
• 4] 98

What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?

• 1] 192
• 2] 230
• 3] 102
• 4] 214

The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?

• 1] 28
• 2] 87
• 3] 51
• 4] 17

If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?

• 1] 53
• 2] 49
• 3] 57
• 4] 61

The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

• 1] -29
• 2] -41
• 3] -47
• 4] -35

The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?

• 1] 34
• 2] 28
• 3] 25
• 4] 31

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

• 1] 219
• 2] 279
• 3] 231
• 4] 137

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

• 1] 0
• 2] 1
• 3] 2
• 4] -1

The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?

• 1] 25
• 2] 29
• 3] 21
• 4] 33

For an A.P. if a25 - a20 = 45, then d equals to:

• 1] 9
• 2] -9
• 3] 18
• 4] 23

For A.P. T18 - T8 = ........ ?

• 1] d
• 2] 10d
• 3] 26d
• 4] 2d

Which term of the A.P. 24, 21, 18, ............ is the first negative term?

• 1] 8th
• 2] 9th
• 3] 10th
• 4] 12th

15th term of A.P., x - 7, x - 2, x + 3, ........ is

• 1] x + 63
• 2] x + 73
• 3] x + 83
• 4] x + 53

If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is :

• 1] 20
• 2] 32
• 3] 38
• 4] 40

The sum of first five multiples of 3 is:

• 1] 45
• 2] 65
• 3] 75
• 4] 90

(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......

• 1]

  \(\frac{{n\left( {n + 1} \right)}}{2}\)

• 2]

  \(\frac{{n\left( {n - 1} \right)}}{2}\)

• 3]

  \({n^2}\)

• 4]

  n

In an A.P., if d = -4, n = 7, an = 4, then a is

• 1] 6
• 2] 7
• 3] 20
• 4] 28

Which term of the A.P. 92, 88, 84, 80, ...... is 0?

• 1] 23
• 2] 32
• 3] 22
• 4] 24

If a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:

• 1] 1
• 2] 2
• 3] 3
• 4] 4

A piece of equipment cost a certain factory 6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?

• 1] Rs. 2,00,000
• 2] Rs. 1,05,000
• 3] Rs. 4,05,000
• 4] Rs. 6,50,000

What is the sum of the following series? -64, -66, -68, ......, -100

• 1] -1458
• 2] -1558
• 3] -1568
• 4] -1664

What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?

• 1] 10,050
• 2] 5050
• 3] 5000
• 4] 50,000

If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164 ?

• 1] 26th
• 2] 27th
• 3] 28th
• 4] None of these

The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \(\frac{{{l^2} - {a^2}}}{{k - \left( {l + a} \right)}}\)   then k = ?

• 1] S
• 2] 2S
• 3] 3S
• 4] None of these

If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to

• 1] 4
• 2] 6
• 3] 8
• 4] 10

Sum of n terms of the series \(\sqrt 2   +   \sqrt 8   +   \sqrt {18}   +   \sqrt {32}   +  \) ....... is

• 1]

  \(\frac{{n\left( {n + 1} \right)}}{2}\)

• 2]

  \(2n\left( {n + 1} \right)\)

• 3]

  \(\frac{{n\left( {n + 1} \right)}}{{\sqrt 2 }}\)

• 4]

  1

If the sums of n terms of two arithmetic progressions are in the ratio \(\frac{{3n + 5}}{{5n + 7}}\)   then their nth terms are in the ration

• 1]

  \(\frac{{3n - 1}}{{5n - 1}}\)

• 2]

  \(\frac{{3n + 1}}{{5n + 1}}\)

• 3]

  \(\frac{{5n + 1}}{{3n + 1}}\)

• 4]

  \(\frac{{5n - 1}}{{3n - 1}}\)

If 18, a, b - 3 are in A.P. then a + b =

• 1] 19
• 2] 7
• 3] 11
• 4] 15

If 18th and 11th term of an A.P. are in the ratio 3 : 2, then its 21st and 5th terms are in the ratio

• 1] 3 : 2
• 2] 3 : 1
• 3] 1 : 3
• 4] 2 : 3

If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is

• 1] -2
• 2] 3
• 3] -3
• 4] 6

Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is

• 1] 11
• 2] 3
• 3] 8
• 4] 5

If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is

• 1] n(n - 2)
• 2] n(n + 2)
• 3] n(n + 1)
• 4] n(n - 1)

The common difference of the A.P. \(\frac{1}{{2b}} \frac{{1 - 6b}}{{2b}}  \frac{{1 - 12b}}{{2b}}\)   . . . . . is

• 1] 2b
• 2] -2b
• 3] 3
• 4] -3

If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is

• 1] 2
• 2] 3
• 3] 1
• 4] 4

If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are

• 1] 5, 10, 15, 20
• 2] 4, 10, 16, 22
• 3] 3, 7, 11, 15
• 4] None of these

If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then \(\frac{{{S_1}}}{{{S_2}}}\)

• 1]

  \(\frac{{2n}}{{n + 1}}\)

• 2]

  \(\frac{n}{{n + 1}}\)

• 3]

  \(\frac{{n + 1}}{{2n}}\)

• 4]

  \(\frac{{n - 1}}{n}\)

If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is

• 1] 3200
• 2] 1600
• 3] 200
• 4] 2800

The nth term of an A.P., the sum of whose n terms is Sn, is

• 1] Sn + Sn - 1
• 2] Sn - Sn - 1
• 3] Sn + Sn + 1
• 4] Sn - Sn + 1

The sum of first n odd natural numbers in

• 1] 2n - 1
• 2] 2n + 1
• 3] n2
• 4] n2 - 1

The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its

• 1] 24th term
• 2] 27th term
• 3] 26th term
• 4] 25th term

The common difference of the A.P. \(\frac{1}{3}, \frac{{1 - 3b}}{3} , \frac{{1 - 6b}}{3}\)   . . . . . . is

• 1]

  \(\frac{1}{3}\)

• 2]

  \( - \frac{1}{3}\)

• 3]

  -b

• 4]

  b

If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be

• 1] 0
• 2] p - q
• 3] p + q
• 4] -(p + q)

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :

• 1] 13
• 2] 9
• 3] 21
• 4] 17

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

• 1]

  24

• 2]

  27

• 3]

  40

• 4]

  None Of These

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

• 1]

  7

• 2]

  8

• 3]

  9

• 4]

  10

A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

• 1]

  14 years

• 2]

  19 years

• 3]

  33 years

• 4]

  38years

The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?

• 1]

  4 years

• 2]

  8 years

• 3]

  10 years

• 4]

  None Of These

The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years

• 1]

  7:9

• 2]

  7:8

• 3]

  3:8

• 4]

  5:8

The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively

• 1]

  20,20

• 2]

  20,10

• 3]

  25,15

• 4]

  30,10

Ratio of ages of three persons is 4:7:9, Eight years ago, the sum of their ages was 56. Find their present ages

• 1]

  16,35,36

• 2]

  12,28,36

• 3]

  16,28,27

• 4]

  16,28,36

Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju

• 1]

  15

• 2]

  14

• 3]

  10

• 4]

  8

A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is

• 1]

  21 years

• 2]

  22 years

• 3]

  23 years

• 4]

  24 years

Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?

• 1]

  16 years

• 2]

  18 years

• 3]

  20 years

• 4]

  None of these

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

• 1]

  16 years

• 2]

  18 years

• 3]

  28 years

• 4]

  24.5 years

At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?

• 1]

  12 years

• 2]

  15 years

• 3]

  19 and half years

• 4]

  21 years

The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:

• 1]

  12 years

• 2]

  14 years

• 3]

  18 years

• 4]

  20 years

Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age in years?

• 1]

  35

• 2]

  42

• 3]

  49

• 4]

  None Of These

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents ?

• 1]

  2 years

• 2]

  4 years

• 3]

  6 years

• 4]

  8 years