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Linear Equation - Past Year Questions

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Q1:

For some non-zero real values of a,ba, b and cc, it is given that ∣ca∣=4,∣ab∣=13\left|\frac{c}{a}\right|=4,\left|\frac{a}{b}\right|=\frac{1}{3} and bc=−34\frac{b}{c}=-\frac{3}{4}. If ac>0a c>0, then (b+ca)\left(\frac{b+c}{a}\right) equals
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Option: 1
Correct Answer
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Q2:

A fruit seller had a certain number of apples, bananas, and oranges at the start of the day. The number of bananas was 10 more than the number of apples, and the total number of bananas and apples was a multiple of 11. She was able to sell 70% of the apples, 60% of bananas, and 50% of oranges during the day. If she was able to sell 55% of the fruits she had at the start of the day, then the minimum number of oranges she had at the start of the day was
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Option: 2
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Q3:

In an election with only two contesting candidates, 15% of the voters did not turn up to vote and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for the winner. If the winner got 200 votes more than the other candidate, then the number of voters in the voting list is
5000
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Q4:

A cashier has ₹ 620 in the denominations of two-rupee notes, ten-rupee notes and fifty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he/she has ?
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Option: 4
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Q5:

The total number of seconds in P weeks, P days, P hours, P minutes, and P seconds is:

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Option: 4
Correct Answer
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Q6:

In a Women's Chess Championship having 300 entrants, a player is eliminated whenever she loses a match. It is given that no match results in a draw. The number of matches that are played in the entire Championship is:

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Option: 3
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Q7:

If the pair of linear equations 2x+3y=72x + 3y = 7 and 2px+(p+q)y=282px + (p + q) y = 28 has an infinite number of solutions, then (p,q)(p, q):

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Option: 2
Correct Answer
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Q8:

If ab+c=bc+a=ca+b=k\dfrac{a}{b+c}=\dfrac{b}{c+a}=\dfrac{c}{a+b}=k then value of kk is
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Option: 4
Correct Answer
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Q9:

If a×b=2a−3b+aba\times b=2 a-3 b+a b,then 3×5+5×33 \times 5+5 \times 3 is equal to
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Option: 3
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Q10:

Nurse Ranji has worked more night shifts in a row than Nurse Lalita, who has worked five. Nurse Sunita has worked fifteen night shifts in a row, more than Nurses Rajni and Lalita combined. Nurse Anita has worked eight night shifts in a row, less than Nurse Rajni. How many night shifts in a row has Nurse Rajni Worked?
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Option: 2
Correct Answer
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Q11:

John's present age is one fourth of his father's age two years ago. John's father's age will be twice Raman's age after 10 years. If Raman's 12th birthday was celebrated 2 years ago, then what is John's present age?
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Option: 3
Correct Answer
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Linear Equation - Past Year Questions (Free PDF Download)

Practice with our comprehensive collection of Linear Equation 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!