An excellent collection of SSC Number systems questions and answers with detailed explanations for competitive exams. Given below are some of the most repeated practice questions on Number systems for SSC CGL, CHSL, JE, GD constable, Stenographer, MTS, and CPO exams. Go through this very important online quiz based on model and previous year asked problems from SSC Number systems with solutions to ace the exam.
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For the following questions answer them individually
Which one of the following will completely divide 571 + 572 + 573 ?
The least number which when divided by 25, 40 and 60 leaves the remainder 7 in each case is
The next term of the series 1, 5, 12, 24, 43 is
I multiplied a natural number by 18 and another by 21 and added the products. Which one of the following could be the sum?
If a and b be positive integers such that $$a^2-b^2 = 19$$, then the value of a is
If 21 is added to a number, it becomes 7 less than thrice of the number. Then the number is
What is the product of the roots of the equation $$x^{2}-\sqrt{3}=0?$$
If x = √3 + √2 then the value of $$x^{3}-\frac{1}{x^{3}}$$ is
The least number which when divided by 6, 9, 12, 15 and 18 leaves the same remainder 2 in each case is :
The value of 2 × (2.11 + 2.23 + 2.16) is
The value of $$(3^2 - 2^2 )^2 + (5^2 - 4^2 )^2 + (6^2 - 5^2 )^2$$ is
If the operation Θ is defined for all real numbers a and b by the relation $$aΘ b =a^{2}\frac{b}{{3}}$$ then $$2Θ {3Θ(-1)} = ?$$
$$\frac{1+876542\times876544}{876543\times876543}$$ is equal to
If $$2+x\sqrt{3}$$=$$\frac{1}{2+\sqrt{3}}$$ then the simplest value of x is
The least number which is divisible by all the natural numbers upto and including 10 is
The HCF of $$x^{8}-1$$ and $$x^{4}+2x^{3}-2x-1$$ is
What is the arithmetic mean of first 20 odd natural numbers ?
A certain sum will amount to 12,100 in 2 years at 10% per annum of compound interest, interest being compounded annually. The sum is
If A and B are in the ratio 4 : 5 and the difference of their squares is 81, what is the value of A?
If $$\frac{x^{24}+1}{x^{12}}=7$$ then the value of $$\frac{x^{72}+1}{x^{36}}$$ is
When 'n' is divided by 5 the remainder is 2. What is the remainder when n2 is divided by 5?
The least number that should be added to 2055, so that the sum is exactly divisible by 27 is
The least number which should be multiplied to 243 to get a perfect cube is
The term to be added to $$121a^{2}+64b^{2}$$ to make a perfect square is
If $$x=\frac{\cos\theta}{1-\sin\theta}$$, then $$\frac{\cos\theta}{1+\sin\theta}$$ is equal to
$$\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{3-\sqrt{8}}$$ is
The unit digit in the product $$122^{173}$$ is
Choose the correct relation(s) from the following:
(i) $$\sqrt{6}+\sqrt{2}=\sqrt{5}+\sqrt{3}$$
(ii) $$\sqrt{6}+\sqrt{2}<\sqrt{5}+\sqrt{3}$$
(iii) $$\sqrt{6}+\sqrt{2}>\sqrt{5}+\sqrt{3}$$
By what least number should 675 be multiplied to obtain a number which is a perfect cube ?
The unit digit in the sum of (124)372 + (124)373 is
If $$17^{200}$$ is divided by 18, the remainder is
The least number which must be added to 1728 to make it a perfect square is ……………..
The number nearest to 75070 which is divisible by 65, is
A student was asked to divide a number by 6 and add 12 to the quotient. He, however, first added 12 to the number and then divided it by 6, getting 112 as the answer. The correct answer should have been
A certain number when divided by 899 leaves the remainder 65. When the same number is divided by 31, the remainder is :
On what sum of money will the difference between S.I and C.I for 2 years at 5% per annum be equal to 25 ?
The next term of the series -1, 6,25, 62,123, 214,_____ is :
The least multiple of 13 which when divided by 4, 5, 6, 7 leaves remainder 3 in each case is
The least positive integer which is a perfect square and also divisible by each of 21, 36 and 66 is :
The odd element in the sequence 3, 7, 13, 21, 33, 43, 57, is :
The ninth term of the sequence 0, 3, 8, 15, 24, 35, is
For what valsue (s) of k the expression $$p+\frac{1}{4}\sqrt{p}+k^{2}$$ is a perfect square ?
If $$x-\frac{1}{x}=1$$, then the value of $$\frac{x^{4}-\frac{1}{x^{2}}}{3x^{2}+5x-3}$$ is
If $$\frac{b-c}{a}+\frac{a+c}{b}+\frac{a-b}{c}=1$$ and a - b + c ≠ 0 then which one of the following relations is true ?
If 15% of x is same as 20 % of y then x: y is
The least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38
respectively is
The greatest number that will divide 19,35 and 59 to leave the same remainder in each case is:
A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is
If $$\frac{m-a^2}{b^2+c^2}+\frac{m-b^2}{c^2+a^2}+\frac{m-c^2}{a^2+b^2}=3$$ then the value of m is
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