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MCQ Problems / Explanations



The height of the cylinder is 14 cm and its diagonal is 10 cm. The volume of the cylinder is:

Last updated: Mon, 17 Mar

If $$a = b - b^2 + b^3 - b^4 + .....$$, express b in terms of a if it is given that | b | < 1.

Last updated: Mon, 17 Mar

If sum to 30 terms of a series, in arithmetic progression, is 150. if the first term is a, the 30^{th} term in that...

Last updated: Mon, 17 Mar

In an arithmetic progression, 15 times the 15^{th} term is equal to 6 times the 6^{th} term. Find the 21^{st} term ...

Last updated: Mon, 17 Mar

Find the ratio of the common difference d_1 and d_2 of two arithmetic progressions if the respective nth terms are ...

Last updated: Mon, 17 Mar

A geometric progression has its seventh term equal to 2. Find the product of its first 13 terms.

Last updated: Mon, 17 Mar

Find the number of common terms in the two progressions 5, 10, 15 .... 125 and 6, 11, 16 .... 106.

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There are three numbers in geometric progression. Their product is 343 and the sum of the products of the numbers t...

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If the sum to infinite terms and the $$2^{nd}$$ term of a geometric progression are in the ratio of 9:2, then find ...

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Find the sum to n terms of the series $$log_2 2, log_2 4, log_2 8, log_2 16........$$

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Five heavy stones are placed, on the road connecting P and Q, at intervals of 4m, with the first stone at P itself....

Last updated: Mon, 17 Mar

If $$log_2 x + log_2^{1/2} x + log_2^{1/3} x + log_2^{1/4} x + .....$$up to 20 terms is 420, find the value of x.

Last updated: Mon, 17 Mar

Find the maximum value of n for which the sum to n terms of the progression 7, 10, 13, ... is less than 2500.

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Find the sum of all the perfect cubes from 60 to 1000.

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Find the sum of all the perfect squares between 20 and 2000.

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Find the sum of all the multiples of 6 between 200 and 1100.

Last updated: Mon, 17 Mar

The sum of 100 terms of a series arithmetic progression is 5050 and the 10th term is 10. What are the values of the...

Last updated: Mon, 17 Mar

Find the number of terms which are common to the progression 2, 5, 8, 11,..., 434 and 3, 7, 11, 15, ..., 579.

Last updated: Mon, 17 Mar

Find the sum of the first 20 terms of the series $$1.2^2 + 2.3^2 + 3.4^2 +...$$

Last updated: Mon, 17 Mar

The sum of an infinite geometric series is 3 and the sum of an infinite geometric series forward from the squares o...

Last updated: Mon, 17 Mar

Find the maximum sum of the series 60, 58, 56, 54, 52,...

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What is the product of the first 11 terms of a geometric progression if the sixth term is 2?

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An equilateral triangle $$T_2$$ is formed by joining the mid points of the sides of another equilateral triangle $$...

Last updated: Mon, 17 Mar

A ball is dropped from a height of 12 m and it rebound 1/2 of the distance it falls. If it continues to fall and re...

Last updated: Mon, 17 Mar

Fins the sum of the first 19 terms of an arithmetic progression. If the sum of its first, the third, the eighth, th...

Last updated: Mon, 17 Mar

Find the sum of all the natural numbers between 70 and 250 which are neither divisible by 6 nor by 8.

Last updated: Mon, 17 Mar

The sum of three positive integers in 84 and their product is 13, 824. If the three numbers are in geometric progre...

Last updated: Mon, 17 Mar

Find the sum of all three digit numbers which when divided by 5 leaves a remainder of 2.

Last updated: Mon, 17 Mar

The product of the first three terms of a geometric progression is 216 and its 5th term is 162. Find the first term...

Last updated: Mon, 17 Mar

Find the ratio of the 17th terms of two arithmetic progression if the ratio of the sum up ten terms of the two prog...

Last updated: Mon, 17 Mar

The sum of four numbers in arithmetic progression is 56. The difference between the product of the two numbers in t...

Last updated: Mon, 17 Mar

The 69th term of an arithmetic progression is 16 times the fourth term of that arithmetic progression. Find the 20t...

Last updated: Mon, 17 Mar

Find the 10th term of an arithmetic progression, if the sum up ten terms of the arithmetic progression is $$2n^2 + ...

Last updated: Mon, 17 Mar

Find the ratio of the 11th term of the two arithmetic progression if the ratio of the sum u to n term of the two pr...

Last updated: Mon, 17 Mar

Three numbers are in an increasing geometric progression. If the second number is multiple by 4, then the numbers w...

Last updated: Mon, 17 Mar

The sum of the first 13 terms of an arithmetic progression equal to the sum of its first 27 terms. Find the sum of ...

Last updated: Mon, 17 Mar

Find the sum of squares of first 10 terms of the series whose sum up ton terms is given by $$2n^2 + 4n$$.

Last updated: Mon, 17 Mar

Find the maximum value of n for which the sum to n terms of the progression 7, 10, 13, .... Is less than 2500.

Last updated: Mon, 17 Mar

Find the number of terms, in the series 12, 10, 8, 6, 4,.... to which the sum is 36.

Last updated: Mon, 17 Mar

Find the sum of all the multiple of 6 between 200 and 1100.

Last updated: Mon, 17 Mar

Find the sum of the first 8 terms of an arithmetic progression If the sum of the second term, third term, sixth ter...

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Find the greater of the two numbers whose arithmetic mean is 20 and whose geometric mean is 16.

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Find the 35th term of an arithmetic progression whose first and the last terms are respectively 4 and 241 and the s...

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Find the largest of three numbers in arithmetic progression whose sum is 30 and whose product is 840.

Last updated: Mon, 17 Mar

The 30th term from the beginning in a 100 term series is the ..........term from the end.

Last updated: Mon, 17 Mar

Find the sum of cubes of the first ten natural numbers.

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Find the sum of the first 7 terms of a geometric progression whose first term is 1 and the forth term is 8.

Last updated: Mon, 17 Mar

Find the sum of infinity of 1, 1/4, 1/16...

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Find the eight term of a geometric progression whose first term as well as common ratio is 2.

Last updated: Mon, 17 Mar

Two distinct positive numbers have their geometric mean equal to 9. Their arithmetic mean will be

Last updated: Mon, 17 Mar

The sum of first 30 terms of an arithmetic progression is 40. The sum of its first eighty terms is also 40. Fins th...

Last updated: Mon, 17 Mar

The sum of the first 61 terms of an arithmetic progression is 0. Which of the following terms is necessarily 0?.

Last updated: Mon, 17 Mar

Find the sum of the first four terms of a geometric progression whose first term is 4 and the common ratio is 3.

Last updated: Mon, 17 Mar

Find the fourth term of a geometric progression whose second term is 8 and sixth term is 32.

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Find the eighth term of an arithmetic progression whose first term is 7 and the common difference is 5.

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Find the sum of first 25 terms of an arithmetic progression whose 13th term is 20.

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Find the sum of first 9 terms of an arithmetic progression whose first term is 5 and the last term is 33.

Last updated: Mon, 17 Mar

Find the sum of the first seven terms of an arithmetic progression whose first term is one and the common differenc...

Last updated: Mon, 17 Mar

Find the fourth term of the arithmetic progression whose first term is 6 and the seventh term is 24.

Last updated: Mon, 17 Mar

Find the geometric mean of 4, 8, 16, and 32.

Last updated: Mon, 17 Mar

Which term of the series 2, 5, 8, 11,... is 266?

Last updated: Mon, 17 Mar

Select the right option from the given alternatives. D4P:H4L:P5R:

Last updated: Mon, 17 Mar

From the given anagrams select the odd one out.

Last updated: Mon, 17 Mar

Find the next number in the series 1, 3, 7, 15, 31, ....

Last updated: Mon, 17 Mar

Select the right option from the given alternatives. 64 : 56 :: 81 :

Last updated: Mon, 17 Mar

Find the next number in the series 2, 4, 12, 48, 240, ....

Last updated: Mon, 17 Mar

Pick the odd man out.

Last updated: Mon, 17 Mar