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#  Quiz 

1
Discuss

Formula & Concept
The difference between the place value and the face value of 6 in the numeral 856973 is
SolutionPlace Value  Face Value = 60006 = 5994 
2
Discuss

Formula & Concept
Find the last unit digit of 55^5 ( Using Euler Theorem)
Solution 
3
Discuss

Formula & Concept
Find the last 2 digit of 7^85 (Using Euler Theorem)
Solution 
4
Discuss

Formula & Concept
The Unit digit in the product (784 X 618 X 917 X463)
Solution4 X 8 X 7 X 3 
5
Discuss

Formula & Concept
What is the unit digit { (6374)^1793 X (625)^317 X (341)^491 }
Solution 
6
Discuss

Formula & Concept
(1000)^9 / 10^24 =
Solution 
7
Discuss

Formula & Concept
35 + 15 X 1.5
Solution 
8
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Formula & Concept
3897 X 999
Solution 
9
Discuss

Formula & Concept
72519 X 9999
Solution 
10
Discuss

Formula & Concept
217 X 217 + 183 X 183
Solution 
11
Discuss

Formula & Concept
106 X 106  94 X 94
Solution 
12
Discuss

Formula & Concept
{(476 + 424)^2  4 X 476 X 424}
Solution 
13
Discuss

Formula & Concept
(112 X 5^4)
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 = ?
Solution 
15
Discuss

Formula & Concept
How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
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:
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 :
Solution 
18
Discuss

Formula & Concept
What is the unit digit in {(6374)^{1793} x (625)^{317} x (341^{491})}?
Solution 
19
Discuss

Formula & Concept
Which of the following is a prime number ?
Solution 
20
Discuss

Formula & Concept
The largest 4 digit number exactly divisible by 88 is:
Solution 
21
Discuss

Formula & Concept
(935421 x 625) = ?
Solution 
22
Discuss

Formula & Concept
1397 x 1397 = ?
Solution 
23
Discuss

Formula & Concept
What least number must be added to 1056, so that the sum is completely divisible by 23 ?
Solution 
24
Discuss

Formula & Concept
It is being given that (2^{32} + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Solution 
25
Discuss

Formula & Concept
(112 x 5^{4}) = ?
Solution 
26
Discuss

Formula & Concept
The sum of first 45 natural numbers is:
Solution 
27
Discuss

Formula & Concept
(?)  19657  33994 = 9999
Solution 
28
Discuss

Formula & Concept
Which one of the following numbers is exactly divisible by 11?
Solution 
29
Discuss

Formula & Concept
The smallest 3 digit prime number is:
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
Solution 
31
Discuss

Formula & Concept
(12)^{3} x 6^{4} ÷ 432 = ?
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 ?
Solution 
33
Discuss

Formula & Concept
The sum of first five prime numbers is:
Solution 
34
Discuss

Formula & Concept
5358 x 51 = ?
Solution 
35
Discuss

Formula & Concept
Which of the following number is divisible by 24 ?
Solution 
36
Discuss

Formula & Concept
What will be remainder when (67^{67} + 67) is divided by 68 ?
Solution 
37
Discuss

Formula & Concept
107 x 107 + 93 x 93 = ?
Solution 
38
Discuss

Formula & Concept
If n is a natural number, then (6n^{2} + 6n) is always divisible by:
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 ?
Solution 
40
Discuss

Formula & Concept
The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:
Solution 
41
Discuss

Formula & Concept
The difference between the local value and the face value of 7 in the numeral 32675149 is
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:
Solution 
43
Discuss

Formula & Concept
(?) + 3699 + 1985  2047 = 31111
Solution 
44
Discuss

Formula & Concept
What is the unit digit in 27^20?
Solution 
45
Discuss

Formula & Concept
What is the unit digit in (4137) ⁷⁵⁴?
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
Solution 
47
Discuss

Formula & Concept
The difference between the squares of two consecutive odd integers is always divisible by:
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 :
Solution 
49
Discuss

Formula & Concept
A 3digit number 4p3 is added to another 3digit number 984 to give the fourdigit number 13q7, which is divisible by 11. Then, (p + q) is :
Solution 
50
Discuss

Formula & Concept
What should be the maximum value of Q in the following equation?
Solution 
51
Discuss

Formula & Concept
Find the sum to 200 terms of the series 1 + 4 + 6 + 5 + 11 + 6 + ....
Solution 
52
Discuss

Formula & Concept
A sixdigit number is formed by repeating a threedigit number; for example, 256256 or 678678 etc. Any number of this form is always exactly divisible by :
Solution 
53
Discuss

Formula & Concept
If 1 ≤ a ≤ 2 and 1 ≤ b ≤ 3, then least possible value of (2a – 3b) is:
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
Solution 
55
Discuss

Formula & Concept
The sum of first 49 natural numbers is ?
Solution 
56
Discuss

Formula & Concept
Onequarter of oneseventh of land is sold for Rs. 30,000. What is the value of an eight thirtyfifth of load?
Solution 
57
Discuss

Formula & Concept
If the number 653ab is divisible by 90, then (a + b) = ?
Solution 
58
Discuss

Formula & Concept
If (64)^{2}  (36)^{2} = 20 x a, then a = ?
Solution 
59
Discuss

Formula & Concept
What is the number in the unit place in (729)^{59}?
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?
Solution 
61
Discuss

Formula & Concept
How many prime numbers exist in 6^{7} x 35^{3} x 11^{10}?
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
Solution 
63
Discuss

Formula & Concept
If x is a whole number, then x²(x²  1) is always divisible by
Solution 
64
Discuss

Formula & Concept
How many terms are there in 2, 4, 8, 16,..., 1024?
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
Solution 
66
Discuss

Formula & Concept
The digit in unit’s place of the product 71 × 72 × ..... × 79 is
Solution 
67
Discuss

Formula & Concept
How many numbers between 190 and 580 are divisible by 4,5 and 6?
Solution 
68
Discuss

Formula & Concept
The largest natural number which exactly divides the product of any four consecutive natural numbers is:
Solution 
69
Discuss

Formula & Concept
Which of the following number should be added to 11158 to make it exactly divisible by 77?
Solution 
70
Discuss

Formula & Concept
What least number must be subtracted from 427398 so that the remaining number is divisible by 15?
Solution 
71
Discuss

Formula & Concept
The smallest value of n, for which 2n+1 is not a prime number, is
Solution 
72
Discuss

Formula & Concept
Find the number of factors of 9321.
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
Solution 
74
Discuss

Formula & concept
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
Solution 
75
Discuss

Formula & concept
If three numbers be in G.P., then their logarithms will be in
Solution 
76
Discuss

Formula & concept
If sum of n terms of an A.P. is 3n^{2} + 5n and T^{m} = 164 then m =
Solution 
77
Discuss

Formula & concept
The two geometric means between the number 1 and 64 are
Solution 
78
Discuss

Formula & concept
If the sum of the series 2 + 5 + 8 + 11 … is 60100, then the number of terms are
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
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
Solution 
81
Discuss

Formula & concept
If a, b, c are in A.P., then (a – c)^{2}/ (b^{2} – ac) =
Solution 
82
Discuss

Formula & concept
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
Solution 
83
Discuss

Formula & concept
How many 2digit positive integers are divisible by 4 or 9?
Solution 
84
Discuss

Formula & concept
If log 2, log (2^{x} 1) and log (2^{x} + 3) are in A.P, then x is equal to ___
Solution 
85
Discuss

Formula & concept
Find the n^{th} term of the following sequence :
Solution 
86
Discuss

Formula & concept
The 2^{nd} and 8^{th} term of an arithmetic progression are 17 and 1 respectively. What is the 14^{th} term?
Solution 
87
Discuss

Formula & concept
The 2^{nd} and 6^{th} term of an arithmetic progression are 8 and 20 respectively. What is the 20^{th} term?
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:
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?
Solution 
90
Discuss

Formula & concept
The 3^{rd} and 7^{th} term of an arithmetic progression are 9 and 11 respectively. What is the 15^{th} term?
Solution 
91
Discuss

Formula & concept
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?
Solution 
92
Discuss

Formula & concept
The sum of first five multiples of 3 is:
Solution 
93
Discuss

Formula & concept
In an A.P., if d = 4, n = 7, a_{n} = 4, then a is
Solution 
94
Discuss

Formula & concept
Which term of the A.P. 92, 88, 84, 80, ...... is 0?
Solution 
95
Discuss

Formula & concept
If a + 1, 2a + 1, 4a  1 are in A.P., then the value of a is:
Solution 
96
Discuss

Formula & concept
If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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 = S_{n} – k S_{n1} + S_{n2} then k =
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
Solution 
99
Discuss

Formula & concept
How many terms are there in 20, 25, 30 . . . . . . 140?
Solution 
100
Discuss

Formula & concept
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
Solution 
101
Discuss

Formula & concept
Find the 15th term of the sequence 20, 15, 10 . . . . .
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
Solution 
103
Discuss

Formula & concept
How many terms are there in the GP 5, 20, 80, 320........... 20480?
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?
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?
Solution 
106
Discuss

Formula & concept
The 7th and 21st terms of an AP are 6 and 22 respectively. Find the 26th term
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.
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 :
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.
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:
Solution 
111
Discuss

Formula & concept
Find the nth term of the following sequence :
Solution 
112
Discuss

Formula & concept
The 2nd and 8th term of an arithmetic progression are 17 and 1 respectively. What is the 14th term?
Solution 
113
Discuss

Formula & concept
The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
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?
Solution 
115
Discuss

Formula & concept
The 4th and 7th term of an arithmetic progression are 11 and 4 respectively. What is the 15th term?
Solution 
116
Discuss

Formula & concept
The 3rd and 8th term of an arithmetic progression are 13 and 2 respectively. What is the 14th term?
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?
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?
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?
Solution 
120
Discuss

Formula & concept
The 3rd and 7th term of an arithmetic progression are 9 and 11 respectively. What is the 15th term?
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?
Solution 
122
Discuss

Formula & concept
The 3rd and 6th term of an arithmetic progression are 13 and 5 respectively. What is the 11th term?
Solution 
123
Discuss

Formula & concept
The 3rd and 9th term of an arithmetic progression are 8 and 10 respectively. What is the 16th term?
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?
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
Solution 
126
Discuss

Formula & concept
The 7th and 12th term of an arithmetic progression are 15 and 5 respectively. What is the 16th term?
Solution 
127
Discuss

Formula & concept
For an A.P. if a25  a20 = 45, then d equals to:
Solution 
128
Discuss

Formula & concept
For A.P. T18  T8 = ........ ?
Solution 
129
Discuss

Formula & concept
Which term of the A.P. 24, 21, 18, ............ is the first negative term?
Solution 
130
Discuss

Formula & concept
15th term of A.P., x  7, x  2, x + 3, ........ is
Solution 
131
Discuss

Formula & concept
If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is :
Solution 
132
Discuss

Formula & concept
The sum of first five multiples of 3 is:
Solution 
133
Discuss

Formula & concept
(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n  1 times) = ......
Solution 
134
Discuss

Formula & concept
In an A.P., if d = 4, n = 7, an = 4, then a is
Solution 
135
Discuss

Formula & concept
Which term of the A.P. 92, 88, 84, 80, ...... is 0?
Solution 
136
Discuss

Formula & concept
If a + 1, 2a + 1, 4a  1 are in A.P., then the value of a is:
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?
Solution 
138
Discuss

Formula & concept
What is the sum of the following series? 64, 66, 68, ......, 100
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?
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 ?
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 = ?
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
Solution 
143
Discuss

Formula & concept
Sum of n terms of the series \(\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + \) ....... is
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
Solution 
145
Discuss

Formula & concept
If 18, a, b  3 are in A.P. then a + b =
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
Solution 
147
Discuss

Formula & concept
If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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
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
Solution 
150
Discuss

Formula & concept
The common difference of the A.P. \(\frac{1}{{2b}} \frac{{1  6b}}{{2b}} \frac{{1  12b}}{{2b}}\) . . . . . is
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
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
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 \(\frac{{{S_1}}}{{{S_2}}}\)
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
Solution 
155
Discuss

Formula & concept
The nth term of an A.P., the sum of whose n terms is Sn, is
Solution 
156
Discuss

Formula & concept
The sum of first n odd natural numbers in
Solution 
157
Discuss

Formula & concept
The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
Solution 
158
Discuss

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