Number & Arithmetic — practice questions, page 2
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What is the units digit of 1! + 2! + 3! + … + 100! ?How many positive factors does 720 have?How many of the positive divisors of 360 are even?The value of (256)^0.16 × (256)^0.09 is:If 5^(x − 3) × 3^(2x − 8) = 225, then x equals:If 2^(2x − 1) = 8^(3 − x), then the value of x is:The smallest number by which 2352 must be multiplied to make it a perfect square is:The smallest number by which 3456 must be multiplied to make it a perfect cube is:How many prime numbers lie between 60 and 80?On rationalising the denominator, 1/(√3 − √2) equals:If (7 + 3√5)/(3 + √5) = a + b√5 where a and b are rational, then b equals:Which is the greatest of √2, ∛3 and ⁶√6?Follow BODMAS: 36 ÷ 6 + 3 × (5 − 2)² = ?Which of these fractions is the greatest?The product of two irrational numbers is:Express 0.2777… (the digit 7 repeating) as a fraction in lowest terms:A number leaves remainder 3 when divided by 5. What remainder does its square leave when divided…Taking the divisor as 6, every positive odd integer can be written in the form:How many zeros are there at the end of 100! (the product 1 × 2 × 3 × … × 100)?The highest power of 3 that divides 50! is 3^k. The value of k is:The remainder when 5⁹⁹ is divided by 13 is:The remainder when 2⁷⁰ + 3⁷⁰ is divided by 13 is:When 10¹⁰⁰ is divided by 7, the remainder is:The sum of all the positive divisors of 216 is:How many divisors of 3600 are perfect squares?
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