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Combine reasoning quiz

Total questions: 57

Worksheet time: 41mins

Name
Class
Date
1.

1. Write the following statement as a conditional statement:


A dog with proper training will not misbehave.

a)

If a dog has proper training, then it will not misbehave.

b)

If a dog does not behave, then it had proper training.

c)

A dog had proper training if and only if it will not misbehave.

2.

What are the next two numbers in this pattern?

12, 17, 22, 27, ___, ___

a)

33, 37

b)

30, 37

c)

32, 37

d)

32, 35

3.

Which number is a counterexample to the following statement? :

All numbers that are divisible by 2 are divisible by 4

a)

0

b)

12

c)

28

d)

42

4.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

a)

If the measures of the angles are equal, then the angles are congruent.

b)

If angles are not congruent, then the measures of the angles are not equal.

c)

If the measures of the angles are not equal, then the angles are not congruent.

d)

If the angles are not congruent, then the measure of the angles are equal.

5.

What is this mean?

a)

Conditional Statement

b)

Converse

c)

Inverse

d)

Contrapositive

6.

Which two statements make up the following biconditionals: "A polygon is a triangle if and only if it has exactly 3 sides."

a)

1. If a polygon is a triangle, then the polygon has exactly three sides. 2 If a polygon has exactly three sides then it is a triangle

b)

1. If a polygon is not a triangle, then the polygon does not have three side. 2. If a polygon does not have three sides,then it is not a triangle.

c)

1. A polygon is a triangle. 2. The polygon has three sides.

7.

Which property justifies step 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Combine Like Terms

d)

Division Property of Equality

8.

Name the property of equality illustrated here.

a)

Addition Property of Equality

b)

Symmetric Property of Equality

c)

Distributive Property of Equality

d)

Transitive Property of Equality

9.

Which statement is a good definition of a rectangle?

a)

A rectangle is a shape with four sides

b)

.A rectangle is a shape with two pairs of parallel sides.

c)

A rectangle is a parallelogram with four congruent sides.

d)

A rectangle is a quadrilateral with four congruent angles.

10.

Which of the following completes the statement to form a valid conclusion?

If it is snowing heavily, then school will be canceled.

If school is canceled, the big test will not be given today.

It is snowing heavily, therefore...

a)

look out for the snowplows while driving to school.

b)

you should call the school to see if school is canceled.

c)

the roads will be hard to drive on.

d)

the big test will not be given today.

11.

Which statement is a valid conclusion?

If a student has a temperature of 100 or more, then he/she should stay home from school.

Jake has a temperature of 101 and Suzi has a temperature of 99.

a)

Both Jake and Suzi should stay home

b)

Both should go see the school nurse.

c)

Suzi should stay home, but Jake should go to school.

d)

Jake should stay home, but Suzi should go to school

12.

What is this?

a)

Conditional Statement

b)

Inverse

c)

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

d)

Converse

13.

Ratio between speed of boat in still water to speed of stream is 5 : 2. If 224 km is travelled by downstream in 4 hours then find the difference between speed of boat in still water and speed of stream?

a)

24 kmph

b)

22 kmph

c)

28 kmph

d)

26 kmph

14.

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

a)

32/7 %

b)

60/11 %

c)

10 %

d)

12 %

15.

A steamer can go 12 km in still water in 25 minutes. One day, it went 11.25 km upstream and returned the same distance in downstream. If the difference between the time taken to travel upstream and downstream was 12.5 minutes, then what was the speed of stream in km per hour?

a)

7.2

b)

5.4

c)

6.3

d)

4.5

16.

If selling price is doubled, the profit triples. Find the profit percent.

a)

66 2/3%

b)

100%

c)

120%

d)

150%

17.

Complete the pattern

210, 220, 230, 240,----

a)

270

b)

320

c)

420

d)

250

18.

Fill in the missing numbers correctly.

a)

4, 6, 8, 10, 12, 14, 16, 18

b)

4, 3, 6, 7, 10, 12, 14, 16

c)

2, 3, 4, 6, 10, 12, 14

d)

3, 4, 5, 6, 9, 10, 12, 14

19.

A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs. 17 per kg. Find his profit percentage

.I. The rate of X is Rs. 20 per kg.

II. The rate of Y is Rs. 13 per kg.

a)

I alone sufficient while II alone not sufficient to answer

b)

II alone sufficient while I alone not sufficient to answer

c)

Either I or II alone sufficient to answerD

d)

Both I and II are not sufficient to answer

.

20.

There are 3 points P, Q and R in a straight line, such that point Q is equidistant from points P and R. A man can swim from point P to R downstream in 24 hours and from Q to P upstream in 16 hours. Find the ratio of speed of man in still water to speed of stream?

a)

Only I and II

b)

Only II and III

c)

Only I and III

d)

None of these

21.

What was the percentage of discount given?I. 23.5% profit was earned by selling an almirah for Rs. 12,350. II. If there were no discount, the earned profit would have been 30%. III. The cost price of the almirah was Rs. 10,000.

a)

Only I and II

b)

Only II and III

c)

Only I and III

d)

None of these

22.

if ∠1 and ∠2 are complementary angles,

a)

then m∠1 + m∠2 = 90

b)

then m∠1 + m∠2 = 180

c)

then ∠1 and ∠2 are supplementary

d)

then ∠1 ≅ ∠2

23.

. if ∠BEC is a right angle, then m∠BEC = 90

a)

Defnition of a Right Angle

b)

Angle Addition

c)

Definition of an Angle Bisector

d)

Definition of Angle Congruence

24.

if S is on the interior of ∠BRM, then m∠BRS + m∠SRM = m∠BRM

a)

Defnition of a Right Angle

b)

Angle Addition

c)

Definition of an Angle Bisector

d)

Definition of Angle Congruence

25.

The diagram shows the sports played by 80 students.


Why is the statement all student either play Football, Hockey, or Rugby false?

a)

Because there is 1 student outside the Football, Hockey, and Rugby circles.

b)

Because we are triple counting the 31 students in the intersection of the Football, Hockey, and Rugby circles.

c)

Because the number of students only adds up to 79 students total.

d)

Because there are only three sports offered at this particular school.

26.

Draw a conclusion from the statement.

If a whole number is even, then its square is divisible by 4.

The number I am thinking of is an even number.

a)

Then it's not odd

b)

.Then it's a whole number.

c)

Then its square is divisible by 4.

d)

Then it's even

27.

What is

work ethic?

a)

The way

a person approaches their work

b)

The way a person tries to avoid

difficult projects

c)

The way a person delegates their

work to other people

d)

The way a person looks for a job

28.

A summary of your qualifications for a job.

a)

Work

Experience

b)

Resume

c)

Qualification

d)

Work Portfolio

29.

What is

one personality trait that stands out from you

a)

Procrastination

b)

Curiosity

c)

Courageous

d)

Loyalty

30.

Do you

like to think up new and better ways to get your work done?

a)

I don’t get paid for that

b)

Sometimes

c)

Always,it keeps life

interesting and improves my productivity

d)

depends

31.

Where do

you see yourself in five years

a)

Manager

b)

Leader

c)

In other company

d)

Happy man

32.

What qualities good

leader have

a)

Time management

b)

Sensitive

c)

Procrasination

d)

2&3

33.

Most basic form of

time management is

a)

using daily planner

b)

Delegating

c)

Eating a frog

d)

Procrasinating

34.
a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

Which word does NOT belong with the others ?

a)

Inch

b)

Ounce

c)

Centimeters

d)

Yard

39.

Find the statement that must be true according to the given information

1. Vincent has a paper route . Each morning, he delivers 37 newspapers to customers in his neighborhood. It takes Vincent 50 minutes to deliver all the papers. If Vincent is sick or has other plans, his friend Thomas, who live on the same street, will sometimes deliver the papers for him.

a)

Vincent and Thomas live in the same neighborhood

b)

It takes Thomas more than 50 minutes to deliver the papers.

c)

It is dark outside when Vincent begins his deliveries

d)

Thomas would like to have his own paper route.

40.

SCD, TEF, UGH, _____, WKL

a)

CMN

b)

UJI

c)

VIJ

d)

IJT

41.

If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A ?

a)

Brother

b)

Sister

c)

Nephew

d)

Cannot be determined

42.

Arrange the words given below in a meaningful sequence.

1. Key 2. Door 3. Lock 4. Room 5. Switch on

a)

5,1,2,4,3

b)

4,2,1,5,3

c)

1,3,2,4,5

d)

1,2,3,5,4

43.

In the series 2,6,18,54,..... What will be the 8th term ?

a)

4370

b)

4374

c)

7443

d)

7434

44.

A,P,R,X,S and Z are sitting in a row. S and Z are in the centre. A and P are the ends. R is sitting to the left of A. Who is to the right of P ?

a)

A

b)

X

c)

S

d)

Z

45.

A man walks 5km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place ?

a)

West

b)

South

c)

North - East

d)

South-West

46.

In which year was Rahul born ?

STATEMENTS:

1. Rahul at present is 25 years younger to his mother.

2. Rahul's brother, who was born in 1964,is 35 years younger to his mother.

a)

1 alone is sufficient while 2 alone is not sufficient

b)

2 alone is sufficient while 1 alone is not sufficient

c)

Either 1 or 2 is sufficient

d)

Both 1and 2 are sufficient

47.

Which word does NOT belong with the others?

a)

Heading

b)

Body

c)

Letter

d)

Closing

48.

We know these lines are parallel because...

a)

The double arrows

b)

They look like it

c)

The letters

d)

They are black

49.

What term refers to two lines that intersect at 90 degrees?

a)

Coincident

b)

Perpendicular

c)

Parallel

d)

Colinear

50.

Angles that sum together to equal 180 degrees

a)

supplementary angles

b)

complementary angles

c)

congruent angles

d)

none of them

51.

These angles are equal... by what rule?

a)

Co interior angles

b)

Corresponding angles

c)

Perpendicular angles

d)

Opposite Angles

52.

Angles on a straight line add up to...

a)

90 degrees

b)

270 degrees

c)

180 degrees

d)

150 degrees

53.

When triangles are congruent...

a)

They are the same shape only

b)

They both are blue

c)

They share a common side

d)

They have the same shape and size

54.

From the words in the options, pick two words with similar meaning

a)

Ugly

b)

Entice

c)

Pretty

d)

Attract

55.

Preach rhymes wit

a)

Breeze

b)

Praise

c)

Beach

d)

Waist

56.

Eleven friends M, N, O, P, Q, R, S, T, U, V and W are sitting in the first row of the stadium watching a cricket match.

T is to the immediate left of P and third to the right of U. V is the immediate neighbour of M and N and third to the left of S. M is the second to the right of Q, who is at one of the ends. R is sitting next to the right of P and P is second to the right of O. Who is sitting in the center of the row?

a)

Q

b)

V

c)

W

d)

U

57.

A train 240 metres long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

a)

65 sec

b)

89 sec

c)

100 sec

d)

150 sec