# Integral Calculus-Integral as Limit of a Sum (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 4 of 4

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## Question number: 1

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2012

MCQ▾

Consider,

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 2

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

### Question

For a real number let denote the largest integer less than or equal to . The smallest positive integer for which the integer exceed 60 is –

### Choices

Choice (4) Response

a.

9

b.

10

c.

8

d.

## Question number: 3

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2014

MCQ▾

### Question

For a real number let denote the largest integer less than or equal to and . Let be a positive integer. Then is equal to –

### Choices

Choice (4) Response

a.

0

b.

c.

1

d.

## Question number: 4

» Integral Calculus » Integral as Limit of a Sum

Appeared in Year: 2013

MCQ▾

### Question

Let be a positive integer. For a real number , let denoted the largest integer not exceeding and . Then,

is equal to – (Model Paper)

### Choices

Choice (4) Response

a.

b.

c.

d.

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