Phrases 2018 Previous Year Question Paper and Solution with PDF

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Previous Year Questions

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Previous Year Questions
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Phrases Previous Year Questions (PYQs)

Phrases 2018 PYQ

Qus : 1

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Solution

Qus : 2

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Qus : 3

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4
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Qus : 4

The function

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Solution

Qus : 5

Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer than 20 minutes for the other. What is the probability that they meet?

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Qus : 6

Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probability that

is divisible by 3 is,

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Qus : 7

A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a prize. The probability that they will not win a prize in a single trial is :

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Solution

The total number of ways in which numbers can be choosed =25 x 25=625 The number of ways in which either players can choose same numbers = 25

Probability that they win a prize = 25/625 = 1/25

Thus, the probability that they will not win a prize in a single trial = 1 - 1/25 = 24/25

Qus : 8

The quadratic equation whose roots are

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Solution

Qus : 9

Sum to infinity of a geometric is twice the sum of the first two terms. Then what are the possible values of common ratio?

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Solution

Qus : 10

Suppose that m and n are fixed numbers such that the mth term am is equal to n and nth term an is equal to m, (m≠n), the the value of (m+n)th term is

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Solution

Qus : 11

If A is an invertible skew-symmetric matrix, then

is a

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Solution

Qus : 12

If the mean of the squares of first n natural numbers be 11, then n is equal to?

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Qus : 13

The set of points, where

is differential in

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Solution

Qus : 14

is equal to

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4
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Solution

Qus : 15

Let

be defined by

. Find

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4
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Solution

Qus : 16

The slope of two-lines

differ by

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4
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Solution

Qus : 17

If the radius of the circle changes at the rate of

, at what rate does the circle's area change when the radius is 10m?

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4
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Solution

Qus : 18

The point of intersection os circle

and the line

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Solution

Qus : 19

The number of solutions of the equation sinx + sin5x = sin3x lying in the interval

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4
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Solution

Qus : 20

In an acute-angled ΔABC the least value of secA+secB+secC is

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Solution

Qus : 21

1
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Qus : 22

then the value of

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4
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Solution

Qus : 23

The circles whose equations are

and

will touch one another externally, if

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4
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Solution

Qus : 24

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0, (1+p)(x-q)+q(1+ q)=0 and y=0 where p≠q is

1
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3
4
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Solution

Straight Line

Qus : 25

Equation of the common tangents with a positive slope to the circle

and

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4
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Solution

Qus : 26

The area enclosed between the curves

and

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4
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Solution

Qus : 27

Equation of the line perpendicular to x-2y=1 and passing through (1,1) is

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4
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Solution

Qus : 28

and

, then f(A)=

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4
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Solution

Qus : 29

9 balls are to be placed in 9 boxes and 5 of the balls cannot fit into 3 small boxes. The number of ways of arranging one ball in each of the boxes is

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4
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Solution

First off all select 5 boxes out 6 boxes in which 5 big ball can fit then arrange these ball in these 5 boxes and then put remaining 4 ball in any remaining box.

So Ans is [(6C5)5!](4!) = 6!4! = 17280

Qus : 30

Which of the following function is the inverse of itself?

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Solution

Qus : 31

A student council has 10 members. From this one President, one Vice-President, one Secretary, one Joint-Secretary and two Executive Committee members have to be elected. In how many ways this can be done?

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Solution

Qus : 32

In a survey where 100 students reported which subject they like, 32 students in total liked Mathematics, 38 students liked Business and 30 students liked Literature. Moreover, 7 students liked both Mathematics and Literature, 10 students liked both Mathematics and Business. 8 students like both Business and Literature, 5 students liked all three subjects. Then the number of people who liked exactly one subject is

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4
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Solution

Qus : 33

If A and B are two events and

, the A and B are two events which are

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4
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Solution

Qus : 34

are positive real numbers whose product is a fixed number c, then the minimum of

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4
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Solution

Qus : 35

If a, b, c are the roots of the equation

, then the value of

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4
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Solution

Qus : 36

The coefficient of

in the expansion of

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Solution

Qus : 37

Let

and

be the roots f the equation

and

are the roots of the equation

, then the value of r,

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4
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Solution

Qus : 38

How many natural numbers smaller than

can be formed using the digits 1 and 2 only?

1
2
3
4
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Solution

Qus : 39

and

, then the value of

1
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3
4
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Solution

Qus : 40

Differential coefficient of

with respect to

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Solution

Qus : 41

is continuous for

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4
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Solution

Qus : 42

and

are unit vectors, then

does not exceeds

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Solution

Qus : 43

The vector

lies in the plane of the vector

and

and bisects the angle between

and

. Then which of the following gives possible values of

and

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4
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Solution

Qus : 44

A bird is flying in a straight line with velocity vector 10i+6j+k, measured in km/hr. If the starting point is (1,2,3), how much time does it to take to reach a point in space that is 13m high from the ground?

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Solution

Qus : 45

The value of

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Solution

Qus : 46

, then value of

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4
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Solution

Qus : 47

In a triangle ABC, angle A=90° and D is the midpoint of AC. What is the value of

equal to?

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4
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Solution

Qus : 48

Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve, given that it divides the rectangle formed by the two lines and the axes into two areas, one of which is twice the other, represents a family of

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Solution

Qus : 49

A line passing through P(4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the centre of the circumcircle of ΔOPQ is -

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Solution

Qus : 50

Let n be the number of different 5 digit numbers, divisible by 4 that can be formed with the digits 1,2, 3, 4, 5 and 6, with no digit being repeated. What is the value of n ?

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4
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Solution

We have to make 5 digit no. And also divisible by 4 using digits (1,2,3,4,5,6) To be divisible by 4 last two digit of 5 digits no should be divisible by 4 so we choose last two digits st they are divisible by 4 and rest with remaining four digits. Last two digits only can be 12,16,24,32,36,52,56,64 as all are divisible by 4. So total no of ways= no ways of choosing first 3 digits* no ways of choosing last two digits Total= (4*3*2)*(8) =192

Abhijeet Kushwaha

Qus : 51

A cube is made up of 125 one cm. square cubes placed on a table. How many squares are visible only on three sides?

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Solution

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