# Quiz Time Quantitative Aptitude

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#### Course Related Quiz

# Quiz
1
Discuss
Formula & Concept

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
##### Solution

Place Value - Face Value = 6000-6 = 5994

2
Discuss
Formula & Concept

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

• 1] 4
• 2] 5
• 3] 3
• 4] 8
##### Solution
3
Discuss
Formula & Concept

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

• 1] 07
• 2] 77
• 3] 87
• 4] 97
##### Solution
4
Discuss
Formula & Concept

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

• 1] 1
• 2] 2
• 3] 3
• 4] 4
##### Solution

4 X 8 X 7 X 3

5
Discuss
Formula & Concept

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

• 1] 1
• 2] 20
• 3] 7
• 4] 0
##### Solution
6
Discuss
Formula & Concept

(1000)^9 / 10^24 =

• 1] 10
• 2] 100
• 3] 1000
• 4] 10000
##### Solution
7
Discuss
Formula & Concept

35 + 15 X 1.5

• 1] 39.5
• 2] 43.5
• 3] 57.5
• 4] 72.3
##### Solution
8
Discuss
Formula & Concept

3897 X 999

• 1] 3892109
• 2] 3893106
• 3] 3893103
• 4] 3929103
##### Solution
9
Discuss
Formula & Concept

72519 X 9999

• 1] 725117481
• 2] 834782931
• 3] 747829383
• 4] 648392011
##### Solution
10
Discuss
Formula & Concept

217 X 217 + 183 X 183

• 1] 89302
• 2] 80578
• 3] 79992
• 4] 70283
##### Solution
11
Discuss
Formula & Concept

106 X 106 - 94 X 94

• 1] 9440
• 2] 9600
• 3] 9640
• 4] 9755
##### Solution
12
Discuss
Formula & Concept

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

• 1] (52)^2
• 2] (53)^3
• 3] (52)^4
• 4] (53)^5
##### Solution
13
Discuss
Formula & Concept

(112 X 5^4)

• 1] 6700
• 2] 67000
• 3] 70000
• 4] 76000
##### Solution
14
Discuss
Formula & Concept

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
##### Solution
15
Discuss
Formula & Concept

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
##### Solution
16
Discuss
Formula & Concept

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
##### Solution
17
Discuss
Formula & Concept

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
##### Solution
18
Discuss
Formula & Concept

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

• 1] 5
• 2] 3
• 3] 2
• 4] 0
##### Solution
19
Discuss
Formula & Concept

Which of the following is a prime number ?

• 1] 97
• 2] 93
• 3] 33
• 4] 81
##### Solution
20
Discuss
Formula & Concept

The largest 4 digit number exactly divisible by 88 is:

• 1] 8888
• 2] 9944
• 3] 9768
• 4] 8888
##### Solution
21
Discuss
Formula & Concept
(935421 x 625) = ?
• 1] 575648125
• 2] 585628125
• 3] 584638125
• 4] 584649125
##### Solution
22
Discuss
Formula & Concept
1397 x 1397 = ?
• 1] 1951609
• 2] 1981709
• 3] 18362619
• 4] 2031719
##### Solution
23
Discuss
Formula & Concept

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
##### Solution
24
Discuss
Formula & Concept

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)

##### Solution
25
Discuss
Formula & Concept

(112 x 54) = ?

• 1]

67000

• 2]

70000

• 3]

76500

• 4]

77200

##### Solution
26
Discuss
Formula & Concept

The sum of first 45 natural numbers is:

• 1]

1035

• 2]

1280

• 3]

2070

• 4]

2140

##### Solution
27
Discuss
Formula & Concept

(?) - 19657 - 33994 = 9999

• 1]

63650

• 2]

59640

• 3]

53760

• 4]

61560

• 5]

None of these

##### Solution
28
Discuss
Formula & Concept

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

• 1]

235641

• 2]

245642

• 3]

315624

• 4]

415624

##### Solution
29
Discuss
Formula & Concept

The smallest 3 digit prime number is:

• 1]

101

• 2]

103

• 3]

109

• 4]

113

##### Solution
30
Discuss
Formula & Concept

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

##### Solution
31
Discuss
Formula & Concept

(12)3 x 64 ÷ 432 = ?

• 1]

5184

• 2]

5060

• 3]

5148

• 4]

5084

##### Solution
32
Discuss
Formula & Concept

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

##### Solution
33
Discuss
Formula & Concept

The sum of first five prime numbers is:

• 1]

11

• 2]

18

• 3]

26

• 4]

28

##### Solution
34
Discuss
Formula & Concept

5358 x 51 = ?

• 1]

273258

• 2]

273268

• 3]

273348

• 4]

273358

##### Solution
35
Discuss
Formula & Concept

Which of the following number is divisible by 24 ?

• 1]

35718

• 2]

63810

• 3]

537804

• 4]

3125736

##### Solution
36
Discuss
Formula & Concept

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

• 1]

67

• 2]

66

• 3]

63

• 4]

1

##### Solution
37
Discuss
Formula & Concept

107 x 107 + 93 x 93 = ?

• 1]

19578

• 2]

19418

• 3]

21908

• 4]

20098

##### Solution
38
Discuss
Formula & Concept

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

##### Solution
39
Discuss
Formula & Concept

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

##### Solution
40
Discuss
Formula & Concept

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

##### Solution
41
Discuss
Formula & Concept

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

##### Solution
42
Discuss
Formula & Concept

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

##### Solution
43
Discuss
Formula & Concept

(?) + 3699 + 1985 - 2047 = 31111

• 1]

34748

• 2]

27474

• 3]

30154

• 4]

27574

##### Solution
44
Discuss
Formula & Concept

What is the unit digit in 27^20?

• 1]

1

• 2]

2

• 3]

3

• 4]

4

##### Solution
45
Discuss
Formula & Concept

What is the unit digit in (4137) ⁷⁵⁴?

• 1]

7

• 2]

8

• 3]

9

• 4]

6

##### Solution
46
Discuss
Formula & Concept

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

##### Solution
47
Discuss
Formula & Concept

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

• 1]

3

• 2]

6

• 3]

7

• 4]

8

##### Solution
48
Discuss
Formula & Concept

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

##### Solution
49
Discuss
Formula & Concept

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

##### Solution
50
Discuss
Formula & Concept

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

• 1]

6

• 2]

7

• 3]

8

• 4]

9

##### Solution
51
Discuss
Formula & Concept

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

• 1]

29800

• 2]

30200

• 3]

31600

• 4]

28480

##### Solution
52
Discuss
Formula & Concept

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

##### Solution
53
Discuss
Formula & Concept

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

• 1]

-7

• 2]

-4

• 3]

-8

• 4]

-11

##### Solution
54
Discuss
Formula & Concept

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

##### Solution
55
Discuss
Formula & Concept

The sum of first 49 natural numbers is ?

• 1]

1275

• 2]

1225

• 3]

1205

• 4]

1185

##### Solution
56
Discuss
Formula & Concept

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

##### Solution
57
Discuss
Formula & Concept

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

• 1]

3

• 2]

4

• 3]

5

• 4]

6

##### Solution
58
Discuss
Formula & Concept

If (64)2 - (36)2 = 20 x a, then a = ?

• 1]

115

• 2]

140

• 3]

132

• 4]

176

##### Solution
59
Discuss
Formula & Concept

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

• 1]

1

• 2]

3

• 3]

7

• 4]

9

##### Solution
60
Discuss
Formula & Concept

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

##### Solution
61
Discuss
Formula & Concept

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

• 1]

23

• 2]

27

• 3]

30

• 4]

29

##### Solution
62
Discuss
Formula & Concept

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

##### Solution
63
Discuss
Formula & Concept

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

• 1]

12

• 2]

24

• 3]

36

• 4]

16

##### Solution
64
Discuss
Formula & Concept

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

• 1]

9

• 2]

10

• 3]

11

• 4]

12

##### Solution
65
Discuss
Formula & Concept

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

##### Solution
66
Discuss
Formula & Concept

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

• 1]

2

• 2]

0

• 3]

6

• 4]

4

##### Solution
67
Discuss
Formula & Concept

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

• 1]

6

• 2]

7

• 3]

8

• 4]

9

##### Solution
68
Discuss
Formula & Concept

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

• 1]

6

• 2]

12

• 3]

18

• 4]

24

##### Solution
69
Discuss
Formula & Concept

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

##### Solution
70
Discuss
Formula & Concept

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

##### Solution
71
Discuss
Formula & Concept

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

• 1]

3

• 2]

4

• 3]

5

• 4]

6

##### Solution
72
Discuss
Formula & Concept

Find the number of factors of 9321.

• 1]

6

• 2]

8

• 3]

12

• 4]

14

##### Solution
73
Discuss
Formula & concept

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

##### Solution
74
Discuss
Formula & concept

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

• 1]

1/41

• 2]

1/45

• 3]

1/49

• 4]

1/37

##### Solution
75
Discuss
Formula & concept

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

• 1]

AP

• 2]

GP

• 3]

HP

• 4]

None Of This

##### Solution
76
Discuss
Formula & concept

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

• 1]

26

• 2]

27

• 3]

28

• 4]

None Of This

##### Solution
77
Discuss
Formula & concept

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

##### Solution
78
Discuss
Formula & concept

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

##### Solution
79
Discuss
Formula & concept

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

##### Solution
80
Discuss
Formula & concept

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

##### Solution
81
Discuss
Formula & concept

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

• 1]

3

• 2]

4

• 3]

1

• 4]

2

##### Solution
82
Discuss
Formula & concept

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

##### Solution
83
Discuss
Formula & concept

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

• 1]

32

• 2]

22

• 3]

34

• 4]

30

##### Solution
84
Discuss
Formula & concept

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

• 1]

5/2

• 2]

log25

• 3]

log32

• 4]

3/2

##### Solution
85
Discuss
Formula & concept

Find the nth term of the following sequence :
5 + 55 + 555 + . . . . Tn

• 1]

5(10n - 1)

• 2]

5n(10n - 1)

• 3]

5/9×(10n−1)

• 4]

(5/9)n×(10n−1)

##### Solution
86
Discuss
Formula & concept

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

• 1]

-19

• 2]

-22

• 3]

-20

• 4]

-25

##### Solution
87
Discuss
Formula & concept

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

• 1]

56

• 2]

62

• 3]

65

• 4]

69

##### Solution
88
Discuss
Formula & concept

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

##### Solution
89
Discuss
Formula & concept

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

##### Solution
90
Discuss
Formula & concept

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

##### Solution
91
Discuss
Formula & concept

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

• 1]

-30

• 2]

41

• 3]

-23

• 4]

-34

##### Solution
92
Discuss
Formula & concept

The sum of first five multiples of 3 is:

• 1]

90

• 2]

72

• 3]

55

• 4]

45

##### Solution
93
Discuss
Formula & concept

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

• 1]

6

• 2]

7

• 3]

20

• 4]

28

##### Solution
94
Discuss
Formula & concept

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

• 1]

23

• 2]

32

• 3]

24

• 4]

28

##### Solution
95
Discuss
Formula & concept

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

##### Solution
96
Discuss
Formula & concept

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

##### Solution
97
Discuss
Formula & concept

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 = Sn – k Sn-1 + Sn-2 then k =

• 1]

1

• 2]

2

• 3]

3

• 4]

4

##### Solution
98
Discuss
Formula & concept

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

##### Solution
99
Discuss
Formula & concept

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

• 1] 22
• 2] 25
• 3] 23
• 4] 24
##### Solution
100
Discuss
Formula & concept

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
##### Solution
101
Discuss
Formula & concept

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

• 1] -45
• 2] -55
• 3] -50
• 4] 0
##### Solution
102
Discuss
Formula & concept

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
##### Solution
103
Discuss
Formula & concept

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

• 1] 5
• 2] 6
• 3] 8
• 4] 9
• 5] 7
##### Solution
104
Discuss
Formula & concept

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
##### Solution
105
Discuss
Formula & concept

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
##### Solution
106
Discuss
Formula & concept

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
##### Solution
107
Discuss
Formula & concept

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
##### Solution
108
Discuss
Formula & concept

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

##### Solution
109
Discuss
Formula & concept

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
##### Solution
110
Discuss
Formula & concept

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
##### Solution
111
Discuss
Formula & concept

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]

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

##### Solution
112
Discuss
Formula & concept

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
##### Solution
113
Discuss
Formula & concept

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
##### Solution
114
Discuss
Formula & concept

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
##### Solution
115
Discuss
Formula & concept

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
##### Solution
116
Discuss
Formula & concept

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
##### Solution
117
Discuss
Formula & concept

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
##### Solution
118
Discuss
Formula & concept

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
##### Solution
119
Discuss
Formula & concept

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
##### Solution
120
Discuss
Formula & concept

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
##### Solution
121
Discuss
Formula & concept

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
##### Solution
122
Discuss
Formula & concept

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
##### Solution
123
Discuss
Formula & concept

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
##### Solution
124
Discuss
Formula & concept

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
##### Solution
125
Discuss
Formula & concept

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
##### Solution
126
Discuss
Formula & concept

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
##### Solution
127
Discuss
Formula & concept

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

• 1] 9
• 2] -9
• 3] 18
• 4] 23
##### Solution
128
Discuss
Formula & concept

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

• 1] d
• 2] 10d
• 3] 26d
• 4] 2d
##### Solution
129
Discuss
Formula & concept

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

• 1] 8th
• 2] 9th
• 3] 10th
• 4] 12th
##### Solution
130
Discuss
Formula & concept

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

• 1] x + 63
• 2] x + 73
• 3] x + 83
• 4] x + 53
##### Solution
131
Discuss
Formula & concept

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
##### Solution
132
Discuss
Formula & concept

The sum of first five multiples of 3 is:

• 1] 45
• 2] 65
• 3] 75
• 4] 90
##### Solution
133
Discuss
Formula & concept

(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

##### Solution
134
Discuss
Formula & concept

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

• 1] 6
• 2] 7
• 3] 20
• 4] 28
##### Solution
135
Discuss
Formula & concept

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

• 1] 23
• 2] 32
• 3] 22
• 4] 24
##### Solution
136
Discuss
Formula & concept

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
##### Solution
137
Discuss
Formula & concept

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
##### Solution
138
Discuss
Formula & concept

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

• 1] -1458
• 2] -1558
• 3] -1568
• 4] -1664
##### Solution
139
Discuss
Formula & concept

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
##### Solution
140
Discuss
Formula & concept

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
##### Solution
141
Discuss
Formula & concept

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
##### Solution
142
Discuss
Formula & concept

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
##### Solution
143
Discuss
Formula & concept

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

##### Solution
144
Discuss
Formula & concept

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]

$$\frac{{5n - 1}}{{3n - 1}}$$

##### Solution
145
Discuss
Formula & concept

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

• 1] 19
• 2] 7
• 3] 11
• 4] 15
##### Solution
146
Discuss
Formula & concept

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
##### Solution
147
Discuss
Formula & concept

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
##### Solution
148
Discuss
Formula & concept

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
##### Solution
149
Discuss
Formula & concept

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)
##### Solution
150
Discuss
Formula & concept

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
##### Solution
151
Discuss
Formula & concept

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
##### Solution
152
Discuss
Formula & concept

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
##### Solution
153
Discuss
Formula & concept

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]

$$\frac{{n - 1}}{n}$$

##### Solution
154
Discuss
Formula & concept

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
##### Solution
155
Discuss
Formula & concept

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
##### Solution
156
Discuss
Formula & concept

The sum of first n odd natural numbers in

• 1] 2n - 1
• 2] 2n + 1
• 3] n2
• 4] n2 - 1
##### Solution
157
Discuss
Formula & concept

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
##### Solution
158
Discuss
Formula & concept

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]