Quiz about Competency Based Questions

Question 1

Three bulbs red, green and yellow flash at intervals of 80 seconds, 90 seconds and 110 seconds. All three flash together at 8:00 am. At what time will the three bulbs flash altogether again?

Accepted Answer

10:12 am

Answer

9:00 am

Answer

9:12 am

Answer

10:00 am

Question 2

Which of the following is an irrational number?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 3

Rahul has 40 cm long red and 84 cm long blue ribbon. He cuts each ribbon into pieces such that all pieces are of equal length. What is the length of each piece?

Accepted Answer

8 cm as it is the HCF of 40 and 84

Answer

4 cm as it is the LCM of 40 and 84

Answer

4 cm as it is the HCF of 40 and 84

Answer

8 cm as it is the LCM of 40 and 84

Question 4

Which of the following is rational?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 5

The prime factorization for 1729 is:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

Assertion (A): LCM of and is Reason (R): LCM is always a multiple of HCF.

Accepted Answer

Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

Answer

Assertion (A) is true but reason (R) is false.

Answer

Assertion (A) is false but reason (R) is true.

Question 7

A merchant has 120 soap cubes of 1st kind in box I, 180 soap cubes of 2nd kind in box II and 240 soap cubes of 3rd kind in box III. He wants to sell the soap cubes by filling three kinds of soap cubes in small packets of equal capacity. On the basis of above information, answer the following: What would be the largest capacity of such packets?

Accepted Answer

60

Answer

30

Answer

50

Answer

120

Question 8

Which of the following concept is used to find the largest capacity?

Accepted Answer

HCF and LCM both

Answer

HCF only

Answer

LCM only

Answer

None of these

Question 9

If he decided to put 3rd kind of soap cubes separately in small packets, how many packets are needed?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 10

How many total small packets are needed to pack all 3 kinds of soap cubes?

Accepted Answer

7

Answer

4

Answer

6

Answer

9

Question 11

If merchant decided to sell only second and third kinds of soap cubes then how many small packets are required?

Accepted Answer

6

Answer

7

Answer

5

Answer

4

Question 12

Amit, Ashutosh and Avinash started a race on a circular ground. Amit takes 24 minutes Ashutosh takes 12 minutes and Avinash takes 18 minutes to complete a round. They started the race at 7:35 AM. On the basis of above information, answer the following: After how many minutes they will meet again?

Accepted Answer

72

Answer

144

Answer

60

Answer

96

Question 13

Number of rounds taken by Amit when they met again after start?

Accepted Answer

4

Answer

3

Answer

6

Answer

5

Question 14

What is the time when they met again after start?

Accepted Answer

9:12 AM

Answer

8:47 AM

Answer

9:47 AM

Answer

7:47 AM

Question 15

How many total taken by all of them when they met again after start?

Accepted Answer

13

Answer

12

Answer

14

Answer

15

Question 16

Which of the following concept is used to find the number of rounds?

Accepted Answer

LCM only

Answer

HCF only

Answer

HCF and LCM both

Answer

None of these

Question 17

Find the number of zeroes of the given polynomial by its graph:

Accepted Answer

3

Answer

2

Answer

1

Answer

None of these

Question 18

If are zeroes of the polynomial then equals:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 19

If one zero of is reciprocal to the other then the value of is:

Accepted Answer

2

Answer

3

Answer

B.

Answer

C.

Question 20

If the zeroes of the quadratic polynomial are 2 and -3, then:

Accepted Answer

a = 5, b = -1

Answer

a = -7, b = -1

Answer

a = 2, b = -6

Answer

a = 0, b = -6

Question 21

Assertion (A): has no real zeroes. Reason (R): A quadratic polynomial can have at the most two zeroes.

Accepted Answer

Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

Answer

Assertion (A) is true but reason (R) is false.

Answer

Assertions (A) is false but reason (R) is true.

Question 22

Assertion (A): If the sum of the zeroes of the quadratic polynomial is 2 then value of k is 1. Reason (R): Sum of zeroes of a quadratic polynomial is

Accepted Answer

Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A)

Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A)

Answer

Assertion (A) is true but reason (R) is false.

Answer

Assertion (A) is false but reason (R) is true.

Question 23

The path traced by the ball, whose zeroes are given in the figure is:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 24

If then value of polynomial is:

Accepted Answer

0

Answer

1

Answer

4

Answer

3

Question 25

If we shift the parabola to right side by two units, then its polynomial expression becomes:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 26

The pair of linear equations 2x + 3y = 4 and 3x + 4y = 9 has:

Accepted Answer

one unique solution

Answer

infinitely many solutions

Answer

no solution

Answer

two solutions

Question 27

The pair of equations x = a and y = b graphically represents lines which are

Accepted Answer

intersecting at (a,b)

Answer

parallel

Answer

intersecting at (b, a)

Answer

coincident

Question 28

x and y are 2 different digits. If the sum of the two digit numbers formed by using both the digits is a perfect square, then value of x+y is

Accepted Answer

11

Answer

10

Answer

12

Answer

13

Question 29

The pair of linear equations 2 kx + 5y = 7, 6x -5y = 11 has a unique solution, if

Accepted Answer

k is not equal to 3/2

Answer

k is not equal to - 3

Answer

k is not equal to 5

Answer

k is not equal to 9/2

Question 30

Assertion: System of linear equation given by x-7y+16=0 and 7x-49y-112=0 are dependent. Reason: Dependent system of equations can be obtained from each other by multiplying with a suitable constant.

Accepted Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Answer

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Answer

An assertion (A) is true but reasons (R) is false.

Answer

Assertion (A) is false but reason (R) is true.

Question 31

Assertion: If 2x+3y=12 and 3x-2y=5 then x=3 , y=2. Reason: Method of elimination involves writing y in terms of x from any one of two equations and then putting this value of y in other equation to get value of x. Finally substituting value of x in any one equation gives value of y.

Accepted Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Answer

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Answer

Assertion (A) is true but reason (R) is false.

Answer

Assertion (A) is false but reason (R) is true.

Question 32

If x + 1, 3x and 4x + 2 are in AP, find the value of x.

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 33

Two persons Shalini and Mira joined a Fintech company. Shalini and Mira started with an initial salary of Rs.50000 and Rs.64000 respectively with annual increment of Rs.2500 and Rs.2000 each respectively. In which year will Shalini start earning more salary than Mira?

Accepted Answer

30th

Answer

28th

Answer

29th

Answer

27th

Question 34

If a clock strikes once at 1pm, twice at 2pm, thrice at 3pm and so on and again once at 1pm and so on, then how many times will the bell be struck in the course of one and a half day?

Accepted Answer

234

Answer

156

Answer

312

Answer

288

Question 35

Find the sum of first 30 terms of an A. P. whose nth term is 5 + (n/5)

Accepted Answer

243

Answer

243.5

Answer

240.5

Answer

248

Question 36

Find the sum of all natural number between 1 and 100 which are divisible by 7

Accepted Answer

735

Answer

753

Answer

14

Answer

761

Question 37

Assertion: 21, 27, 33 are in A.P. Reason: Three terms a, b, c taken in order are in A.P. if (a-c)/2 = b

Accepted Answer

Both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

Answer

Assertion is correct but Reason is incorrect.

Answer

Assertion is incorrect but Reason is correct.

Question 38

In the given figure, value of x(in cm) is

Accepted Answer

5

Answer

4

Answer

6

Answer

8

Question 39

Find the value of x in the figure below if DE || AB.

Accepted Answer

x = 2

Answer

x = 1

Answer

x = 6

Answer

x = 4

Question 40

If in Figure O is the point of intersection of two chords AB and CD such that OB = OD, then triangles OAC and ODB are

Accepted Answer

isosceles and similar

Answer

equilateral but not similar

Answer

isosceles but not similar

Answer

equilateral and similar

Question 41

Assertion (A): In the given figure, PA || QB || RC || SD. Reason (R): If three or more line segments are perpendiculars to one line, then they are parallel to each other.

Accepted Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Answer

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Answer

Assertion (A) is true but reason (R) is false.

Answer

Assertion (A) is false but reason (R) is true.

Question 42

Assertion (A): Two similar triangles are always congruent. Reason (R): If areas of two similar triangles are equal, then the triangles are congruent.

Accepted Answer

Assertion (A) is true but reason (R) is false.

Answer

Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Answer

Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Answer

Assertion (A) is false but reason (R) is true.

Question 43

Rohan is very intelligent in maths. He always try to relate the concept of maths in daily life. One day he is walking away from the base of a lamp post at a speed of 1 m/s. Lamp is 4.5 m above the ground. (i) If after 2 second, length of shadow is 1 meter, what is the height of Rohan ? (ii) What is the minimum time after which his shadow will become larger than his original height? (iii) What is the distance of Rohan from pole at this point ? (iv) What will be the length of his shadow after 4 seconds? (v) Which similarity criterion is used in solving the above problem

Accepted Answer

145 cm

Accepted Answer

120 cm

Accepted Answer

150 cm

Answer

1 sec

Answer

175 cm

Question 44

ABCD is a rectangle whose three vertices are B(4, 0), C(4, 3) and D(0, 3). The length of one of its diagonals is

Accepted Answer

5

Answer

4

Answer

3

Answer

25

Question 45

If the point C (k, 4) divides the join of the points A (2,6 ) and B(5, 1) in the ratio 2 : 3 then the value of k is

Accepted Answer

16

Answer

B.

Answer

C.

Answer

D.

Question 46

If R (5,6) is the midpoint of the line segment AB joining the points A(6,5) and B(4, y) then y equals

Accepted Answer

6

Answer

5

Answer

7

Answer

12

Question 47

Assertion : The coordinates of the point which divides the line segment joining the points (3,4) and (-5,-7) internally in the ratio 2:3 is ( , ) Reason : The section formula is ( , )

Accepted Answer

Both A and R are true and R is the correct explanation of A.

Answer

Both A and R are true but R is not the correct explanation of A.

Answer

A is true but R is false.

Answer

A is false but R is true.

Question 48

Which of the following equations represents a line parallel to the line 2x - 3y + 6 = 0?

Accepted Answer

4x - 6y + 12 = 0

Answer

6x - 4y + 9 = 0

Answer

3x + 2y - 5 = 0

Answer

2x + 3y - 6 = 0

Question 49

In a circular track, if two runners start at the same point and run at speeds of 5 m/s and 7 m/s respectively, after how many seconds will they meet again if the track length is 120 meters?

Accepted Answer

30

Answer

120

Answer

90

Answer

60

Question 50

Which of the following equations represents a pair of parallel lines?

Accepted Answer

3x + 2y = 5 and 3x + 2y = 10

Answer

x + y = 2 and 2x + 2y = 4

Answer

x - y = 1 and 2x - 2y = 3

Answer

2x + 3y = 6 and 4x + 6y = 12

Competency Based Questions

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