Question 1
What will be the next term in the following series?
C4X, F9U, I16R,
CMAT Coded Equations Questions
CMAT Coded Equations Questions
Solution
C + 3 = F ==> F + 3 = I.
$$2^2\ =\ 4$$ ==> $$3^2\ =\ 9$$ ==> $$4^2\ =\ 16$$.
X - 3 = U ==> U - 3 = R.
Following this pattern, next term will be:
I + 3 = L
$$5^2\ =\ 25$$
R - 3 = O
==> L25O i.e. Option A.
Question 2
The consonants of English alphabet have been coded by using digits 1 to 8.
If any vowel is not in the beginning or last, it is coded as 6.If any vowel is at the beginning only or in last only, it is coded as 9.If the vowel is placed at both beginning and last, it is coded as '$' at both places. With reference to the above information, choose the correct form of the combination of letters
ENIANGE.
Solution
As E, a vowel, is at both the beginning and last, it will be coded as $.
N will be coded as 4.
I and A will be coded as 6as they are neither at beginning or at last.
G will be coded as 5.
So, the final code will be $46645$ i.e. Option B.
Question 3
If 'POND' is coded as 'RSTL', how 'HEAR' will be written in that code?
Solution
P + 2 = R
O + 4 = S
N + 6 = T
D + 8 = L.
Following the same pattern, HEAR will be coded as:
H + 2 = J
E + 4 = I
A + 6 = G
R + 8 = Z
Thus, the code will be JIGZ.
Question 1
In a certain code language, POETRY is written as QONDSQX. How is MORE written in that code language ?
Question 1
If 'blue means green', 'green means white', 'white means yellow', 'yellow means black', 'black means red ' and 'red means brown', then what is the colour of milk?
Solution
We are asked the color of the milk which is white and in the second phrase, we are told that green means white. Hence, the color of the milk is green.
Question 1
If RASCAL is written as -22, then SIMPLE is written as
Solution
If we consider the numberical value corresponding the Alphabets
R = 18
A = 1
S = 19
C = 3
A = 1
L = 12
-18 + 1 -19 + 3 -1 + 12 = -22
Hence we have to subtract and add alternate alphabets
S = 19
I = 9
M = 13
P = 16
L = 12
E = 5
-19 + 9 - 13 + 16 -12 +5 = -14
Question 2
In a certain code language, if the word BEAUTIFUL is coded as BFLTAEIUU, then how is the word TECHNICAL coded in that language?
Solution
In this question, we are first separating the consonants and rearranging them in alphabetical order, then rearranging the vowel alphabetically.
Hence, for the word BEAUTIFUL, we separate the consonants (B, T, F, L) and vowels (E, A, U, I, U)
Now we will arrange the consonants in alphabetical order and then the vowels.
Hence, the word will be BFLTAEIUU.
Similarly, TECHNICAL can be written as the first separate consonants (T, C, H, N, C, L), and (E, I, A). Then after rearranging, we will get:
CCHLNTAEI,
The correct option is D.
Question 3
In a certain code, 'CAB' is written as 75, How will 'RULE' be written as?
Solution
The value of CAB is 75. C appears as a 24th letter when we take it in reverse alphabetical order. A is the 26th letter, and B is the 25th letter. The sum of these letters is (24+26+25) = 75.
R is the 9th word in reverse alphabetical order, U is the 6th word, L is the 15th word in reverse, and E is the 22nd letter in reverse alphabetical order.
Hence, the sum is (9+6+15+22) = 52.
The correct option is D
Question 4
If MOUSE is written as FTVPN, then RACKET is written as
Solution
If MOUSE is written as FTVPN, we have first reversed the word MOUSE to ESUOM, and then we have written the next letter of each letter ( E as F, S as T, and so on).
Therefore, firstly RACKET can be written in the reverse order TEKCAR, and then we will write the next letter corresponding to each letter.
Hence, RACKET can be written as UFLDBS.
The correct answer is C
Question 5
Match List - I with List-II :
Choose the most appropriate option from those given below:
Solution
Every word has six letters in it, in which the first 2 letters are changed by (-2), the next 2 letters are changed by (+2), and the last 2 letters are changed by (-2).
Hence, EMBARK can be written as E(-2) => C, M(-2)=> K, B(+2)=> D, A(+2)=> C, and R(-2)=> P, and K(-2) => I, Hence, EMBARK can be written as CKDCPI. (A-ii)
Hence, the correct option is A.
Question 6
If% means 'is less than', $ means' is greater than and# means 'is equal to' and given that a%b, c#d and c$b then which is true?
Solution
a%b means a is less than b. c#d means c is equal to d, and c$b means c is greater than b.
Therefore, a<b<c=d
Option B is correct.
Question 1
In a certain language
ABCD is coded as CABF
FGHI is coded as HFGK
UVWX is coded as WUVZ
How is KLMN coded?
Solution
First letter is coded with the 2nd to the right of it in alphabet series
2nd letter is coded with immediate previous letter
3rd letter with immediate previous letter
4th letter is coded with 2nd to the right of it in alphabet series
so KLMN will be coded as MKLP
Question 2
In a certain language ‘Roses are red’ is coded as‘ko ti na’. “Roses are beautiful’ is coded as ‘ho ti na’. Whatis the codefor‘red’ in that language?
Solution
Comparing two statements
we have Roses are as common so we can say ti na will correspond to Roses are in any order
Therefore red will be ko
Question 3
In a certain code language. if the word RESERVE is coded as GXTGUGT,then how is the word PRESENT coded in that language
Solution
First we have to reverse the word RESERVE
We get E V R E S E R
Now E+2 =G , V+2 =X ,R+2 =T ,E+2 =G,S+2 =U, E+2 =G , R+2 =T
Similarly for PRESENT
we will get code as VPGUGTR
Question 4
In a certain code language, if REPTILE is coded as 49 and SNAKE is coded as 25, then how is CROCODILE coded in that language.
Solution
REPTILE is a 7 letter word and we have $$7^2\ =49$$
Similarly snake is a 5 letter word and we have $$5^2\ =25$$
Therefore CROCODILE will be $$9^2=81$$
Question 5
If in a certain language, ITNIETAM is the code for INTIMATE, which word has the code
TREVNIETARBI?
Solution
The letters in the first half and last half of the code are separately reversed to obtain the word.
So we get INVERTIBRATE as answer
Question 6
In a certain code language BCG is coded as EFJ. How is the word FALSE coded?
Solution
BCG is codes as EFJ
Each alphabet corresponds to the third alphabet to ts right
so FALSE will be coded as IDOVH
Question 1
In the following question, different letters stand for various symbols as indicated below :
R: Addition
S: Subtraction
T: Multiplication
U: Division
V : Equal to
W: Greater than
X: Less than
Out of the four alternatives given only oneis correct according to the aboveletter symbols. Identify the correct one.
Solution
(A) : 16T2R4U6X8
$$\equiv16\times2+4\div6<8$$
L.H.S. = $$32+\frac{2}{3}=32.67$$ which is greater than 8, hence it is not correct.
(B) : 16U2R4S6W8
$$\equiv16\div2+4-6>8$$
L.H.S. = $$8-2=6$$ which is less than 8, hence it is also not correct.
(C) : 16R2S4V6R8
$$\equiv16+2-4=6+8$$
L.H.S. = $$18-4=14$$
R.H.S. = $$6+8=18$$
$$\because$$ L.H.S. = R.H.S., hence it is correct.
=> Ans - (C)
Question 1
If JAPAN is coded KCSES, then the code of CASTLE will be
Solution
JAPAN is coded KCSES
Similarly, for Castle :
=> Ans - (C)
Question 2
In some way 123 means "he is talented", 3456 means "talented people earn more", 45678 means "people earn more to enjoy". Then what is equal to "earn" ?
Solution
Given that 123 means "he is talented"----(a)
3456 means "talented people earn more"------(b)
45678 means "people earn more to enjoy".------(c)
Now we will decode what number means what word.
1---- He
2---- is
3---- the number 3 is in sentence a and b , so from these two sentences, the number 3 is common and the word Talented is common
so 3 is talented.
But 456 in sentence b and c implies the same sentence people earn more so we cant determine the particular code for earn.
so, the answer will be cant be determined.
Question 3
Read the following information carefully to answer the questions given below it.
(a) 'A +B' means that 'A' is the father of 'B'
(b) 'A — B' means that 'A' is the wife of 'B'
(c) 'A x B' means that 'A' is the brother of 'B'
(d) 'A =B' means that 'A' is the daughter of 'B'
If it is given 'P = R + S + Q', then which of the following is true ?
Solution
R is the father of S, S is the father Q,
which implies R is the grand father of Q
P is the daughter of R
Thus P is the aunt of Q
Question 4
In a certain code RIPPLE is written as 613382 and LIFE is written as 8192. How is PILLER written in that code?
Solution
Code for each letter is given as :
P -> 3
I -> 1
L -> 8
L -> 8
E -> 2
R -> 6
=> PILLER : 318826
=> Ans - (A)
Question 1
If a + b means a is sister of b,
a - b means a is brother of b,
a x b means a is daughter of b,
a ÷ b means a is mother of b,
Which of the following relationship shows that p and r are wife and husband?
Solution
Let us verify the options.
Option (A):
p ÷ q, means p is mother of q.
q x r, means q is daughter of r.
The above two statements together tells us that, p is the wife of r. Hence wife and husband relationship exits between p and r.
Therefore option (A) is the answer.
Option (B):
p - q, means p is the brother of q.
q x r, means q is daughter of r.
The above two statements together doesn't tell us that p and r are related as wife and husband.
Hence, Option (B) is not the answer.
Option (C):
p + q, means p is the sister of q.
q x r, means q is daughter of r.
The above two statements together doesn't tell us that p and r are related as wife and husband.
Hence, Option (C) is not the answer.
Option (D):
p + q, means p is the sister of q.
q - r, ,means q is the brother of r.
The above two statements together doesn't tell us that p and r are related as wife and husband.
Hence, Option (D) is not the answer
Question 2
In a code language FRIGHTENS is written as 106; SIMILARLY is written as 118; How would
DEMONITISATION be written in the same language?
Solution
If we add the numbers denoted by each alphabet, when we number them as A=1, B=2, C=3.....Z=26
FRIGHTENS : $$6+18+9+7+8+20+5+14+19=106$$
SIMILARLY : $$19+9+13+9+12+1+18+12+25=118$$
DEMONITISATION : $$4+5+13+15+14+9+20+9+19+1+20+9+15+14=167$$
=> Ans - (C)
Question 3
If m + n means m is sister of n,
m - n means m is brother of n,
m x n means m is daughter of n,
m ÷ n means m is mother of n,
How many females can be shown by the given relationship?
$$a + b - c + d - e \times f$$
Solution
a+b: a is the sister of b
b-c: b is the brother of c
c+d: c is the sister of d
d-e : d is the brother of e
e*f: e is the daughter of f.
We can state that a(female), b(male),c(female), d(male), e (female), f(male or female).
Hence D is the correct answer.
