Q.1
A six digit number is formed by repeating a three digit number : For example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by -
Q.2
If the difference between the reciprocal of a positive proper fraction and fraction itself be $$\frac$$ , then the fraction is -
Q.3
0.1 and $$\frac{5}{8}$$ of a bamboo are in mud and water respectively and the rest length 2.75 m is above water. What is the length of the bamboo ?
Q.4
The last digit of (1001)2008 + (1002) = ?
Q.5
Arrange the following fraction in decreasing order : $$\frac{3}{5},$$ $$\frac{7}{9}$$ $$,\frac$$
Q.6
What number should replace M in this multiplication problem ?
Number System mcq question image
Q.7
The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is -
Q.8
The number 1422 - 1 is divisible by :
Q.9
The number 0.121212 . . . . . in the form $$\frac{p}{q}$$ is equal to -
Q.10
By how much does $$\frac{6}{{\frac{7}{8}}}$$ exceed $$\frac{{\frac{6}{7}}}{8}$$ ?
Q.11
The sum of three numbers is 2, the 1st number is $$\frac{1}{2}$$ times the 2nd and the 3rd number is $$\frac{1}{4}$$ times the 2nd number. The 2nd number is :
Q.12
If the product of two positive numbers be 1575 and their ration is 7 : 9, then the greatest number is :
Q.13
When simplified the product : $$\left( {2 - \frac{1}{3}} \right)$$ $$\left( {2 - \frac{3}{5}} \right)$$ $$\left( {2 - \frac{5}{7}} \right)$$  .....$$\left( {2 - \frac} \right)$$
Q.14
The smallest possible three placed decimal is-
Q.15
The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is :
Q.16
The simplified value of $$\left( {1 - \frac{1}{3}} \right)$$ $$\left( {1 - \frac{1}{4}} \right)$$ $$\left( {1 - \frac{1}{5}} \right)$$ . . . . .$$\left( {1 - \frac{1}{99}} \right)$$ $$\left( {1 - \frac{1}{100}} \right)$$
Q.17
A number when divided by 729 given a remainder of 56. What will we get as remainder if the same number is divided by 27 ?
Q.18
Sum of two numbers is thrice their difference. Their ratio is :
Q.19
A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is -
Q.20
414 × ? × 7 = 127512
Q.21
The divisor is 25 times of the quotient and 5 times the remainder. If the quotient is 16, the dividend is-
Q.22
A runner runs $$1\frac{1}{4}$$ laps of a 5 laps race. What laps of the race remains to be run ?
Q.23
$$\frac{1}$$ of a rod is coloured red, $$\frac{1}$$ orange, $$\frac{1}$$ yellow, $$\frac{1}$$ green, $$\frac{1}$$ blue, $$\frac{1}$$ black and the rest is violet. If the length of the violet part of the rod is 12.08 mtr, then the length of the rod is -
Q.24
A number is successively divided by 8, 7 and 3 giving residues 3, 4 and 2 respectively and quotient 31. The number is :
Q.25
In a division problem, the divisor is 7 times of quotient and 5 times of remainder. If the dividend is 6 times of remainder, then the quotient is equal to :
Q.26
Of the three numbers, the second is twice the first and is also thrice the third. If the average of these three numbers is 44, the largest number is -
Q.27
A positive integer when divided by 425 gives a remainder 45. When the same number is divided by 17, the remainder will be :
Q.28
Each member of a picnic party contributed twice as many rupees as the total number of members as the the total collection was Rs. 3042. The number of member present in the party was -
Q.29
The value of : $$\left( {1 + \frac{1}{2}} \right)$$ $$\left( {1 + \frac{1}{3}} \right)$$ $$\left( {1 + \frac{1}{4}} \right)$$ ..... $$\left( {1 + \frac{1}{120}} \right)$$
Q.30
The value of $${\text{0}}{\text{.}}\overline 2 + {\text{0}}{\text{.}}\overline 3 + {\text{0}}{\text{.}}\overline {32} $$     is :
Q.31
$$0.\overline {142857} \div 0.\overline {285714} \,$$    is equal to :
Q.32
A man read $$\frac{2}{5}$$ th of a book on the first day. He read $$\frac{1}{3}$$ rd more on second day than he read in the first day. 15 pages were left for the third day. The number of pages in the book is -
Q.33
Find the sum of all positive multiples of 5 less than 100.
Q.34
It is given that $${\text{(}}{{\text{2}}^{32}} + 1)$$   is exactly divisible by a certain number, which one of the following is also definitely divisible by the same number ?
Q.35
The unit digit of the expression : $${25^{6251}} \, + $$   $${36^{528}} \, + $$   $${73^{54}} = ?$$
Q.36
On multiplying a number by 7, all the digits in the product appear as 3’s. The smallest such number is :
Q.37
In an examination, a student was asked find $$\frac{3}$$ of a certain number. By mistake he found $$\frac{3}$$ of it, his answer is 150 more than the correct answer. The given number is -
Q.38
Find the unit digit in the product : $${\left( {4387} \right)^{245}}$$   $$ \times {\left( {621} \right)^{72}}$$
Q.39
Which of the following is the largest fraction ? $${\text{ }}\frac{6}{7},$$ $$\frac{5}{6},$$ $$\frac{7}{8},$$ $$\frac{4}{5}$$
Q.40
Largest fraction among $$\frac{2}{5},$$ $$\frac{5}{6},$$ $$\frac$$ and $$\frac{7}{8}$$ is :
Q.41
If 4x2 - 12x + k is a perfect square. then the value of k is ?
Q.42
A number consists of two digits such that the digit in the ten's place is less by 2 than the digit in the unit place. Three times the number added to $$\frac{6}{7}$$ times the number obtained by reversing digits equals 108. The sum of digits in the number is -
Q.43
A number divided by 52 gives remainder 45. If the number divided by 13 , the remainder will be :
Q.44
The sum of digits of a two-digit number is 12 and the difference between the two-digits of the two-digit number is 6. What is the-digit number ?
Q.45
The sum of the numerator and denominator of a positive fraction is 11. If 2 is added to both numerator and denominator, the fraction is increased by $$\frac{1}$$. The difference of numerator and denominator of the fraction is -
Q.46
The digit in unit's place of the number (1570)2 + (1571)2 + (1572)2 + (1573)2 is :
Q.47
A number which divided by 192 gives a remainder of 54. What remainder would be obtained on dividing the same number by 16 ?
Q.48
What will be the unit digit in the 7105 ?
Q.49
In an examination, a student scores 4 marks for every correct answer and losses 1 mark for every wrong answer. A student attempted all the 200 questions and scored 200 marks. The number of questions, he answered correctly was -
Q.50
252 m of pant cloth and 141 m of shirt cloth are available in a cloth store. To stitch one pant and one shirt, $$2\frac{1}{2}$$ m and $$1\frac{3}{4}$$ m of cloth are needed respectively. Then the approximate number of pants and shirts that can be made out of it are :
0 h : 0 m : 1 s