IPMAT 2021 | Past Year Question Paper

Question 1.

The number of positive integers that divide (1890) × (130) × (170) and are not divisible by 45 is:

Question 2.

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).

A

2021/2020

B

2020/2019

C

1

D

2020/2021

Question 3.

The writer of the passage suggests that

A

the purpose of education in early times was very different from what it is now.

B

there are similarities in the aims of education in early times and those of today.

C

the purpose of education in early times was to help students attain a position of privilege

D

as times have changed the basis of education has expanded.

Question 4.

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

A

105

B

71

C

89

D

37

Question 5.

The sum up to 10 terms of the series 1 × 3 + 5 × 7 + 9 × 11 + . . is

Question 6.

The passage points out that an important difference between traditional media and social media is that

A

social media reaches more people.

B

traditional media tries to present different points of view.

C

social media is more balanced in its reports.

D

it is easier to spread fake stories through traditional media.

Question 7.

It is given that the sequence {x_n} satisfies x₁ = 0, x_n+1 = x_n + 1 + $21+xn$ for n = 1,2, . . . . . Then x₃₁ is

Question 8.

Social media is dangerous in its ability to influence opinion in readers through

A

its choice of news items which are presented.

B

its balanced reporting of wide-ranging stories.

C

its ability to guide the reader to motivated conclusions.

D

the creation of interest by using dubious facts.

Question 9.

Let S_n be sum of the first n terms of an A.P. {a_n}. If S₅ = S₉ , what is the ratio of a₃ : a₅

A

9 : 5

B

5 : 9

C

3 : 5

D

5 : 3

Question 10.

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

A

B

C

A + B

D

I

Free e-Books

FREE CONTENT

IPMAT indore 2021 Complete Paper Solution

Question 1.

The number of positive integers that divide (1890) × (130) × (170) and are not divisible by 45 is:

Question 2.

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).

Question 3.

The writer of the passage suggests that

Question 4.

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

Question 5.

The sum up to 10 terms of the series 1 × 3 + 5 × 7 + 9 × 11 + . . is

Question 6.

The passage points out that an important difference between traditional media and social media is that

Question 7.

It is given that the sequence {x_n} satisfies x₁ = 0, x_n+1 = x_n + 1 + $21+xn$ for n = 1,2, . . . . . Then x₃₁ is

Question 8.

Social media is dangerous in its ability to influence opinion in readers through

Question 9.

Let S_n be sum of the first n terms of an A.P. {a_n}. If S₅ = S₉ , what is the ratio of a₃ : a₅

Question 10.

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

COURSES

Previous Year Papers

REACH US

Follow us

Free e-Books

FREE CONTENT

IPMAT indore 2021 Complete Paper Solution

Question 1.

The number of positive integers that divide (1890) × (130) × (170) and are not divisible by 45 is:

Question 2.

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).

Question 3.

The writer of the passage suggests that

Question 4.

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

Question 5.

The sum up to 10 terms of the series 1 × 3 + 5 × 7 + 9 × 11 + . . is

Question 6.

The passage points out that an important difference between traditional media and social media is that

Question 7.

It is given that the sequence {xn} satisfies x1 = 0, xn+1 = xn + 1 + 21+xn21+xn21+xn for n = 1,2, . . . . . Then x31 is

Question 8.

Social media is dangerous in its ability to influence opinion in readers through

Question 9.

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

Question 10.

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

REACH US

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

It is given that the sequence {x_n} satisfies x₁ = 0, x_n+1 = x_n + 1 + $21+xn$ for n = 1,2, . . . . . Then x₃₁ is

Let S_n be sum of the first n terms of an A.P. {a_n}. If S₅ = S₉ , what is the ratio of a₃ : a₅

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