IPMAT Indore 2021 Answer Key (Quants MCQ 11 to 30) | Strategy + Solution

IPMAT Indore 2021 Answer Key (Quantitative Aptitude Maths QA MCQ: 11 to 25) - Solutions with Strategy to attempt the answers.

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00:00 One-Year 2023 Batch
01:13 Concept: Functions
05:29 Question 11: Functions
13:33 Question 12: Logarithms
17:44 Question 13: Series
20:25 Question 14: Determinants
22:43 Question 15: Trigonometry & Series
26:59 Question 16: Number System - Unit Digit
32:07 Question 17: Trigonometry
39:23 Question 18: Quadrilaterals
48:47 Question 19: Number System
52:57 Question 20: Functions & Maxima Minima
59:15 Question 21: Set Theory
01:07:46 Question 22: Time Speed Distance
01:15:35 Question 23: Permutation & Combination
01:19:13 Question 24: Permutation & Combination
01:21:48 Question 25: Coordinate Geometry
01:26:41 Strategy: Conclusion

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11. Suppose that a real-valued function f (x) of real numbers satisfies
f(x + xy) = f(x) + f(xy)
for all real x, y, and that f (2020) = 1. Compute f (2021).

12. Suppose that log2[log3(log4a)] = log3[log4(log2b)] = log4[log2(log3c)] = 0 Then the value of a + b + c is

13. Let Sn be the sum of the first n terms of an A.P. an. If S5 = S9, what is the ratio of a3:a5

14. If A, B and A + B are non-singular matrices and AB = BA, then 2A – B – A(A+B)^-1 A B(A+B)^-1 B equals

15. If the angles A, B, C of a triangle are in arithmetic progression such that sin(2A + B) = 1/2 then sin(B + 2C) is equal to

16.The unit digit in (743)^85 - (525)^37 + (987)^96 is:

17. The set of all real values of p for which the equation 3 sin2x + 12 cos x - 3 = p has at least one solution is

18. ABCD is a quadrilateral whose diagonals AC and BD intersect at O. If triangles AOB and COD have areas 4 and 9 respectively, then the minimum area that ABCD can have is

19. The highest possible value of the ratio of a four-digit number and the sum of its four digits is:

20. Consider the polynomials f (x) = ax 2 + bx + c, where a is greater than 0, b, c are real, and g(x) = - 2x. If f (x) cuts x-axis at (-2, 0) and g(x) passes through (a, b), then the minimum value of f (x) + 9a + 1 is:

21. In a city, 50% of the population can speak in exactly one language among Hindi, English and Tamil, while 40% of the population can speak in at least two of these three languages. Moreover, the number of people who cannot speak in any of these three languages is twice the number of people who can speak in all these three languages. If 52% of the population can speak in Hindi and 25% of the population can speak exactly in one language among English and Tamil, then the percentage of the population who can speak in Hindi and in exactly one more language among English and Tamil is

22. A train left point A at 12 noon. Two hours later, another train started from point A in the same direction. It overtook the first train at 8 PM. It is known that the sum of the speeds of the two trains is 140 km/hr. Then, at what time would the second train overtake the first train, if instead, the second train had started from point A in the same direction 5 hours after the first train? Assume that both the trains travel at constant speeds.

23. The number of 5-digit numbers consisting of distinct digits that can be formed such that only odd digits occur at odd places is

24. There are 10 points in the plane, of which 5 points are collinear and no three among the remaining are collinear. Then the number of distinct straight lines that can be formed out of these 10 points is

25. The x-intercept of the line that passes through the intersection of the lines x + 2y = 4 and 2x + 3y = 6, and is perpendicular to the line 3x - y = 2 is

[aneenateresegeorge]

i liked your class very
im sad that i found this too late

[tusharsingh]

Just a small req could you please make a separate video on special questions of functions…(IPMAT specific)
These questions are quite tricky so if we have done couple of them in the past
It will benefit us in the exam too..

[vinayakbhat]

thank you soooo much! Helped me a lot:)))

[insightsgrid]

Bhaiya in que 19, 9991/9+9+9+1 = 9991/1 = 9991, so this is also possible na that means 1000 is not the highest number (it is just in case of this que because it's given in

[abhaygupta]

Do the 699 rupees pack of mocks on the website include 2022 mocks?

[Infinite__QuestioN]

Sir, how to fill iim Ranchi registration form