No Short Description Present
# | 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 = 6000-6 = 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
Discuss
|
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 (341491)}?
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 (232 + 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 54) = ?
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 64 ÷ 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 (6767 + 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 (6n2 + 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 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 :
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 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 :
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
One-quarter of one-seventh of land is sold for Rs. 30,000. What is the value of an eight thirty-fifth 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 67 x 353 x 1110?
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 7th term of a H.P. is 1/10 and the 12th term is 1/25, then the 20th 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 3n2 + 5n and Tm = 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/ (b2 – 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 2-digit positive integers are divisible by 4 or 9?
Solution |
84
Discuss
|
Formula & concept
If log 2, log (2x -1) and log (2x + 3) are in A.P, then x is equal to ___
Solution |
85
Discuss
|
Formula & concept
Find the nth term of the following sequence :
Solution |
86
Discuss
|
Formula & concept
The 2nd and 8th term of an arithmetic progression are 17 and -1 respectively. What is the 14th term?
Solution |
87
Discuss
|
Formula & concept
The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th 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 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?
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?
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, an = 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 = Sn – k Sn-1 + Sn-2 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
|