Question 1
Find the number of triangles in the given figure :
CMAT Logical Reasoning Questions
CMAT Logical Reasoning Questions
Solution
On counting the total triangles comes out to be 13
Question 2
If A # B means A is the mother of B
A $ B means A is the father of B
A % B means A is sister of B
A * B means A is the son of B
A @ B means A is brother of B and
A ! B means A is the daughter of B
In the expression P$Q#R@S, how is R related to P?
Solution
P$Q means P is the father of Q
Now Q#R will mean Q is mother of R
So we can say R's mother's father is P
So R is either Grand daughter or Grand son of P
Now R@S means R is brother of S so R is a male so R is grandson of P
Question 3
Complete the sequence :
30, 56, 90, _____ , 182, 240.
Solution
30, 56, 90, _____ , 182, 240.
Here the first differences forms an A.P with a common difference of 8
so we get next term as 90+42 = 132.
Question 4
The given statement is followed by two arguments-I and II. Decide which argument(s) is/are correct for the statement.
Statement: We should plant more trees.
Argument I. Trees help in reducing pollution.
II. Trees occupy too much of the earth's space.
Solution
Statement We should plant more trees.
Argument should be supportive and as 1st statement says it helps in reducing pollution which is goof 1 is correct
2 highlights a negative and will not be a reason to plant more trees so II is false .
Question 5
Find the odd one out :
Solution
Except SUWX all have a uniform change from one alphabet to other .
Question 6
If CLAUSE is coded as ECSLUA. then the code of UMPIRE will be
Solution
CLAUSE is written as ECSLUA
Noe let C be 1 L be 2 A be 3 U be 4 S be 5 and E be 6
we get code as 615243
similarly taking UMPIRE as 1,2,3,4,5,6
we will get code as 615243
which will correspond to EURMIP
Question 7
Find the wrong numberin this sequence :
72, 70, 67, 65, 58, 52, 45
Solution
The series should be 72-2 =70 ; 70-3 =67 ;67-4=63 ;63-5 =58 ;58-6 =52 ; 52-7=45
so 65 is the wrong term
Question 8
A number-arrangement machine, when given an input string of numbers, arranges them following a particular pattern. The following is the illustration of an input and its arrangement.
As per the rules followed in the above steps, find the appropriate answer
If 159 is one of the numbers in Step IV, which of the following can be input number?
Solution
We observe that :
Step II+5 = Step III and Step III-2 =StepIV
Step IV -3 = Step II
Now therefore Step II for 159 = 156
Now Input is k then step 1 is k^2 and step II is k^2+k
We get k^2+k =156
k=12
so input is 12
Question 9
The question below consists of a main statement followed by four options. Select the one that logically follows the main statement
If I drive a car, then it is a BMW or a Skoda.
Solution
If I drive a car, then it is a BMW or a Skoda.
From this statement all the given statements can be concluded
Hence the correct answer is all of the above
Question 10
A number -arrangement machine, when given an input string of numbers, arranges them following a particular pattern. The following is the illustration of an input and its arrangement.
What is the input if the following is the arrangement of Step IV?
9, 75, 113, 213, 33, 5
Solution
Step IV we have 9, 75, 113, 213, 33, 5
Now step II+5 = Step III and Step III-2 =StepIV
So we get Step II Step IV -3
Now so Step II =6,72,110,210,30,2
Now Input is k then step 1 is k^2 and step 2 is k^2+k
so equating k^2+k with numbers we get input as :
2,8,10,14,5,1
Question 11
A says to B, ‘I am the mother of your grandfather's son.’ How is A related to B?
Solution
Grandfather's son will be B 's father
And A will be the grandmother of B .
Question 12
Aman is five ranks ahead of Ishain class of 30 students. If Isha's rank is $$14^{th}$$ from the last, then what is Aman's rank starting from Chetan at the $$1^{st}$$ position?
Solution
Ishan is 14th from last so Ishan is 30-14+1 = 17th from start
Aman is five ahead of Ishan so we get Aman's rank as 17-5 =12th from start
Question 13
A number -arrangement machine, when given an input string of numbers, arranges them following a particular pattern. The following is the illustration of an input and its arrangement.
As per the rules followed in the above steps, find the appropriate answer
Which is the fifth number from the left end in step III of the following input?
6, 2, 14, 17, 8, 13
Solution
Input is 6, 2, 14, 17, 8, 13
Step I will be 36,4,196,289,64,169
Now step II = Input ^2+Input
we get Step II = 42,6,210,306,72,182
Now Step III = Step II +5
We get Step III = 47,11,215,311,77,187
Now the fifth number from the left end in step III of the following input =77
