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Factors of 251

Solution: A prime number will have only 2 factors. It will be divisible by 1 and the same number. 251 is a prime number. The factors are 1 and 251.... View Article

Jane can type 60 words per minute and it takes her 35 minutes to write a letter. John can type 50 words per minute. How long would it take him to write the same letter?

Solution: Number of words Jane can type in one minute = 60 words She took 35 minutes to write a letter. So total number of words = 60×35... View Article

Find the value of x for which the equations f(x) = 3x² -1 and g(x) = 3 + x are equal.

Solution: Given f(x) = 3x2 -1 g(x) = 3 + x f(x) = g(x) => 3x2-1 = 3+x => 3x2-x-4 = 0 => x = (1±√(1+48))/6 =... View Article

The sum of all the prime factors of the number 1890 is _____

Solution: 1890 = 2×3×3×3×5×7 = 2×33×5×7 The prime factors are 2,3 5, and 7. Sum of the prime... View Article

Bisectors of interior ∠B and exterior ∠ACD of a ΔABC intersect at the point T. Prove that ∠BTC = ½ ∠BAC

Solution: ∠TBC = ½ ∠B ..(i) (Bisector of ∠B) ∠TCD = ½ ∠ACD ..(ii) In triangle ABC, ∠A+∠B = ∠ACD ..(iii)(exterior angle theorem) In triangle... View Article

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

Solution: Let the three consecutive integers be x-1, x, x+1. => 2(x-1) + 3x + 4(x+1) = 74 => 2x - 2 + 3x + 4x + 4 = 74 => 9x = 72... View Article

If sec a + tan a = x, then sec a =

(a) (x2+1)/2x (b) (x2+1)/x (c) (x2-1)/2x (d) (x2-1)/x Solution: Given sec a + tan a = x ..(i) Multiply and divide by (sec a - tan a) (sec... View Article

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant approximately. What percentage of the selling price is the profit?

(a) 30% (b) 100% (c) 70% (d) 250% Solution: Let the cost price be Rs.100. Given that the profit is 320% of the cost. => profit = Rs.320... View Article

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Archives

Factors of 251

Jane can type 60 words per minute and it takes her 35 minutes to write a letter. John can type 50 words per minute. How long would it take him to write the same letter?

Find the value of x for which the equations f(x) = 3x² -1 and g(x) = 3 + x are equal.

The sum of all the prime factors of the number 1890 is _____

Bisectors of interior ∠B and exterior ∠ACD of a ΔABC intersect at the point T. Prove that ∠BTC = ½ ∠BAC

Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

If sec a + tan a = x, then sec a =

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant approximately. What percentage of the selling price is the profit?

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