# UPSEE Mathematics Question Paper and Solution 2018

In this article, we are going to provide you detailed solution of UPSEE Mathematics Question Paper 2018. There were 50 objective type questions with only one correct option. There was no negative marking. The best way to get familiar with the examination pattern is to solve previous years’ papers. Engineering aspirants must try to solve last five year’s question papers. Sometimes, 2-3 questions are repeated directly from previous years’ papers in UPSEE. Students should solve each question on a notebook or paper instead of solving orally. Students must check their solution with the solution provided by the experts just after finishing any question paper.

## Why should student solve UPSEE Previous Years’ Question Papers?

• To get an idea about the important topics and concepts.
• To modify their preparation strategy after knowing strength and weakness.
• To improve speed and accuracy of solving questions.

## Question:

A man of height 2 m walks at a uniform speed of 5 km/ hour away from a lamp post of 6 m height. His shadow length increases at the rate of

(A) 12.5 km/hour

(B) 2.5 km/hour

(C) 3 km/hour

(D) 3.5 km/hour

## Solution:

Hence, the correct option is (B).

Chemistry all chapters complete notes for UPSEE 2019

## Question:

The coefficient of x5 in the expansion of (1 + x2)5(1 + x)4 is

(A) 40

(B) 50

(C) 60

(D) −50

## Solution:

Hence, the correct option is (C).

## Question:

There are 4 candidates for the post of a professor in Mathematics and one is to be selected by a opinions of 5 subject experts. The number of the ways in which the expert opinion can be expressed is

(A) 1048

(B) 1072

(C) 1024

(D) 1020

## Solution:

The number of the ways in which the expert opinion can be expressed is 45

= 1024

Hence, the correct option is (C).

## Question:

If the sum of the distances of a moving point from two perpendicular lines in a plane is always 1, then, its locus is

(A) Parabola

(B) Ellipse

(C) Hyperbola

(D) None of these

## Solution:

Let us suppose, the perpendiculars lines be the x and y−axis.

Now, the sum of the distances from the point P (x, y ) is 1. i.e., | x | + | y | = 1

This is the locus of the point P which would be the square whose sides are

x + y = 1; − x + y = 1; xy = 1; − xy = 1

Hence, the correct option is (D).

## Question:

The resultant of two forces 3P and 2P is R. If first- force is doubled then the resultant is also doubled. The angle between the forces is

(A) 60°

(B) 30°

(C) 120°

(D) 150°

## Solution:

Hence, the correct option is (C).

## Question:

A particle at rest starts moving with uniform acceleration covers a distance of 114 meters in 8th second. The acceleration of the particle is

(A) 20 m/sec2

(B) 15 m/ sec2

(C) 14.5 m/ sec2

(D) 15.4 m/ sec2

## Solution:

Hence, the correct option is (D).

UPSEE/UPTU Previous Years Question Papers

## Question:

A helicopter is flying at a height of 500 m. If all of sudden its engines stops working, the helicopter will fall on the earth in

(A) 10 seconds

(B) 12 seconds

(C) 15 seconds

(D) 20 seconds

## Solution:

Hence, the correct option is (A).

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