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Miscellaneous - Past Year Questions

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Q1:

In a four-digit number, the product of the thousands digit and units digit is zero while their difference is 7. Product of the middle digits is 18. The thousands digit is as much more than the units digit as the hundreds digit is more than the tens digit. The four-digit number is __________.
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Q2:

The number of pairs of integers whose sums are equal to their products is
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Q3:

After adding 5 to both numerator and denominator of the following fractions, arrange them in ascending order of the magnitude of change in their values.
A. 23\frac{2}{3}
B. 34\frac{3}{4}
C. 45\frac{4}{5}
D. 56\frac{5}{6}
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Q4:

Arrange the following fractions in descending order.
(A) 59\frac{5}{9}
(B) 711\frac{7}{11}
(C) 815\frac{8}{15}
(D) 1117\frac{11}{17}
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Q5:

Amicable numbers are a pair of distinct natural numbers (a, b) such that the sum of the proper divisors of a equals b and the sum of the proper divisors of b equals a. Given that (220, y) is a pair of amicable numbers, y equals:

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Q6:

Given below are two statements:

Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1: 5: 12. The product of the two numbers is 18.

Statement (II): The last digit in the decimal representation of 291 is 6.

In light of the above statements, choose the most appropriate answer from the options given below.

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Q7:

The expression 2x3 + ax2 + bx + 3, where a and b are constants, has a factor of x-1 and leaves a remainder of 15 when divided by x + 2. Then, (a, b) =

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Q8:

Given below are two statements:
Statement I : The sum of exponents of prime factors in the prime factorization of 392 is 5.
Statement II : The decimal representation 1323×5\frac{13}{2^3 \times 5} will terminate after 2 decimal places.
In the light of the above statements, choose the correct answer from the options given below:
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Q9:

Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago?
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Q10:

18800/470/20=18800 / 470 / 20 =
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Miscellaneous - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Miscellaneous Past Year Questions (PYQs of IPMAT Indore, IPMAT Rohtak & JIPMAT) with detailed solutions. These questions are carefully curated from previous year papers to help you understand the exam pattern and improve your preparation.

Our free resources include handwritten solutions for all questions, making it easier to understand the concepts and approach. Use these PYQs to assess your preparation level and identify areas that need more focus. No login required. Compilation of IPMAT Indore, IPMAT Rohtak & JIPMAT Questions!