Question:medium

If S = (1 x 1!) + (2 x 2!) + (3 x 3!) + … + (11 x 11!), then (S + 5) when divided by 12! leaves a remainder of

IBSAT

Updated On: Nov 25, 2025

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Top Questions on Number Systems

Arun selected an integer \( x \) between 2 and 40, both inclusive. He noticed that the greatest common divisor of the selected integer \( x \) and any other integer between 2 and 40, both inclusive, is 1. How many different choices for such an \( x \) are possible?
- XAT - 2025
- Quantitative Ability and Data Interpretation
- Number Systems
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A king has distributed all his rare jewels in three boxes. The first box contains 1/3 of the rare jewels, while the second box contains k/5 of the rare jewels, for some positive integer value of k. The third box contains 66 rare jewels.
How many rare jewels does the king have?
- XAT - 2024
- Quantitative Ability and Data Interpretation
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Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b.
Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4- digit number is divisible by a?
- XAT - 2024
- Quantitative Ability and Data Interpretation
- Number Systems
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The roots of the polynomial are the radii of three concentric circles. \(P(x) = 2x^3-11x^2 +17x-6.\) The ratio of their area, when arranged from the largest to the smallest, is:
- XAT - 2024
- Quantitative Ability and Data Interpretation
- Number Systems
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Questions Asked in IBSAT exam

The sides of a rectangular field are in the ratio of 3:5 and its area is 2535 m2. Calculate the cost of fencing it at the rate of Rs.2.50/m.

IBSAT
Mensuration

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What is the length of the longest rod that can be put on the floor of a rectangular room measuring 45 min length and 28 m in breadth?

IBSAT
Mensuration

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In each of the following questions a number series is given with one missing (?) term. The term is given as one of the alternatives among the five numbers given in the answer choic Find the term.
2, 5,11,23,47,?

IBSAT
Sequence and Series

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In each of the following questions a number series is given with one missing (?) term. The term is given as one of the alternatives among the five numbers given in the answer choic Find the term.
1, 3, 4, 8, 15, 27, ?

IBSAT
Sequence and Series

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