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CBSE Questions for Class 11 Commerce Applied Mathematics Mathematical And Logical Reasoning Quiz 14 - MCQExams.com
CBSE
Class 11 Commerce Applied Mathematics
Mathematical And Logical Reasoning
Quiz 14
In certain code PAPER is written as SCTGW, how will MOTHER written in that code ?
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ORVLGW
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PQVJGT
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PQXJJT
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PQXJGT
Explanation
Here there are 2 patterns to be observed on the 2 sets of alternating alphabets
The first set of alternating alphabets are $$P,P,R$$ from $$PAPER$$
The second set of alternating alphabets are $$A,E$$ from
$$PAPER$$
In the first set, the code is formed by a pattern of skipping alphabets
progressively
.
For example in the first set $$P,P,R$$,
The first $$P$$ is coded as $$S$$ after skipping $$2$$ alphabets ($$ Q , R$$)
The second $$P$$ is coded as $$T$$ after skipping $$3$$ alphabets ($$Q, R, S$$)
The $$R$$ is coded as $$W$$ after skipping $$4$$ alphabets ($$S,T,U, V$$)
In the second set, the code is formed by a pattern of skipping only $$1$$ alphabet.
For example, in the second set $$A,E$$
$$A$$ is coded as $$C$$ after skipping $$1$$ alphabet ($$ B$$)
$$E$$ is coded as $$G$$ after skipping $$1$$ alphabet ($$ F$$)
We need to separate the word $$MOTHER$$ from the question into 2 sets of alphabets
$$\rightarrow$$ The first set being $$M,T,E$$
$$\rightarrow$$ The second set being $$O,H, R$$
Similar to the above pattern the first set ($$M,T,E$$) needs to be coded by a pattern of skipping alphabets progressively
$$\rightarrow$$ $$M$$ gets coded as $$P$$ (by skipping 2 alphabets $$N,O$$)
$$\rightarrow$$ $$T$$ gets coded as $$X$$ (by skipping 3 alphabets $$U,V,W$$)
$$\rightarrow$$ $$E$$ gets coded as $$J$$ (by skipping 4 alphabets $$F,G,H,I$$)
The second pattern (
$$O,H, R$$)
is coded by skipping only $$1$$ alphabet all the time
$$\rightarrow$$ $$O$$ is coded as $$Q$$ after skipping $$1$$ alphabet ($$ P$$)
$$\rightarrow$$ $$H$$ is coded as $$J$$ after skipping $$1$$ alphabet ($$ I $$)
$$\rightarrow$$ $$R$$ is coded as $$T$$ after skipping $$1$$ alphabet ($$ S$$)
So, the word $$MOTHER$$ gets coded as $$PQXJJT$$, which is option $$C$$
Four numbers are given below out of which three are alike in some manner and fourth is different. Choose the different number :
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$$144$$
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$$168$$
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$$196$$
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$$256$$
Explanation
All are perfect squares except $$168$$
Hence, option B is the odd one out.
A number series is given. In the series only one number is wrong. Find out the wrong number.
$$5531, 5506, 5425, 5304, 5135, 4910, 4621$$
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$$5531$$
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$$5425$$
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$$4621$$
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$$5135$$
Explanation
Hence, option 'A' is correct.
In a certain code language, 'NOTE' is coded as 'OPUF'. Similarly, 'TASK' is coded as 'UBTL'. How will 'CORE' be coded in the same code language?
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BNRE
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PSFD
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DSFP
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DPSF
Explanation
Each alphabet is replaced by its next alphabet in the code.
So,$$CORE$$ will become $$DPSF$$.
Hence, option $$D$$ is the correct answer.
If HEATER is written as KBDQHO, how will you write COOLER.
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ALRHV
0%
FLRIHO
0%
FLIRHO
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FRLIHO
Explanation
See the diagram for the arrangement.
In a certain code language word BLASTER is written in four different code languages. Understanding the code, find the correct code language for the given question word from the given alternatives.
SERIES = TGUMJY
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BLASTER = YOZHGVI
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BLASTER = EODVWHU
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BLASTER = BATRLSE
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BLASTER = CNDWYKY
Explanation
The given code replaces the each alphabet successively by one, two, three..letters ahead of it.
So, applying the same logic,
B
$$\rightarrow$$ C
L
$$\rightarrow$$ N
A
$$\rightarrow$$ D
S
$$\rightarrow$$ W
T
$$\rightarrow$$ Y
E
$$\rightarrow$$ K
R $$\rightarrow$$Y
So, option D.
A and B are brothers. C and D are sisters. A's son is D's brother. How is B related to C?
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Brother
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Father
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Uncle
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Son
Explanation
B is the brother of A.
A's son is D and C's brother.
So C abd are A's daughters. And B is a's brother.
so B is uncle to C and D.
option C
Which group of letters is different from the other three?
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CBAED
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JIHGK
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SRQPT
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TVWYX
Explanation
Group A, B, C contain continuous letters arranged in Different Way on Group D is different because there letters are not continuous Between T and V letter U is Missing.
Hence, option 'D' is correct.
In a certain code FINGER is written as DGLECP. What will be the code for KIDNEY?
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IGBLCW
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IGCLBW
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IBCGLE
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IGBKCV
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IBGCLW
Explanation
Here, the word 'FINGER'
is coded by moving the letters two steps backwards to obtain the coded word 'DGLECP'.
Similarly, the code for
KIDNEY is
IGBLCW.
Find the odd one out.
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AI
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IU
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EO
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OU
Explanation
$$\textbf{Step 1: Check for a relation/pattern between letters.}$$
$$\text{Except, OU all are following a pattern, All are made of 2 vowels but not with consecutive ones.}$$
$$\text{(A) AI two vowels are not consecutive as E lies between A and I}$$
$$\text{(B) IU two vowels are not consecutive as O lies between I and U}$$
$$\text{(C) EO two vowels are not consecutive as I lies between E and O}$$
$$\text{(D) OU two vowels are consecutive as no vowel lies between O and U}$$
$$\textbf{Hence, option D is the correct.}$$
Among the given four numbers, one is different in some manner, Find that odd number.
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$$2 0 5 6$$
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$$3 2 4 0$$
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$$4 0 8 4$$
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$$1 4 0 4$$
Explanation
Sum of digits of every option is square number.
In option B it is $$9$$, in option C it is $$16$$ and in opton D it is $$9$$.
While sum of digits of option A is $$13$$, which is not a square.
Hence, option A.
A man said to a lady, 'Ramu's mother is the only daughter of your father'. How is the lady related to Ramu?
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Daughter
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Sister
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Wife
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Mother
Explanation
Father's only daughter $$ \rightarrow$$ Ramu's mother ( lady )
Hence, option 'D' is correct.
Understanding the code,
PITCH = SLWFK, find the correct code language for the word 'BLASTER', from the given alternatives.
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BLASTER = YOZHGVI
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BLASTER = EODVWHU
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BLASTER = BATRLSE
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BLASTER = CNDWYKY
Explanation
In the code, each letter is replaced by the three letters ahead of it.
Applying the same logic,
B
$$\rightarrow$$ E
L
$$\rightarrow$$ O
A
$$\rightarrow$$ C
S
$$\rightarrow$$ V
T
$$\rightarrow$$ W
E
$$\rightarrow$$ H
R $$\rightarrow$$ U
So, option B.
If in certain code POPULAR is coded as QPQVMBS, which word would be coded as GBNPVT ?
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FAMOSU
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FAMOUS
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FASOUM
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FOSAUM
If in certain code CALCUTTA is coded as GEPGYXXE, which word would be coded as FSQFCE ?
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BOMBYA
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BOMBAY
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BOMYAB
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BOBAYM
Explanation
From the figure, we can say that option A is the correct choice.
Find the odd term out.
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AXE
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CVG
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ETJ
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GRK
Explanation
$$A\overset{+2}{\rightarrow}C\overset{+2}{\rightarrow}E\overset{+2}{\rightarrow}G$$ (first letter from every option forms a sequence)
$$X\overset{-2}{\rightarrow}V\overset{-2}{\rightarrow}T\overset{-2}{\rightarrow}R$$
(second letter from every option forms a sequence)
$$E\overset{+2}{\rightarrow}G\overset{+2}{\rightarrow}I\overset{+2}{\rightarrow}K$$
(third letter from every option forms a sequence)
$$ETI$$ should come instead of $$ETJ$$
Therefore, $$ETJ$$ is odd term out.
$$C$$ is the right answer.
Hence, option 'C' is correct.
A man said to a lady "Your mother's husband's sister is my aunt." How is the lady related to man ?
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Daughter
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Grand-daughter
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Mother
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Sister
Explanation
You mother's husband is your father.
Your father's sister is your aunt, who also happens to be the man's aunt.
So the man and the lady must be brother and sister.
option 'D' is correct.
Find the wrong number in the given series
$$480, 480, 240, 80, 20, 5$$
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$$240$$
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$$80$$
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$$20$$
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$$5$$
Explanation
In the given series, the quotient when 1st term is
divided by the 2nd term, increases by $$1$$ and so on.
$$ \dfrac {480}{480} = 1 $$ $$ \dfrac {480}{240} = 2 $$
$$ \dfrac {240}{80} = 3 $$ $$ \dfrac {80}{20} = 4 $$
Hence, option 'D' is correct.
$$ILNT : FHIN : : KOSV :$$ ?
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$$IKMN$$
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$$HKOQ$$
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$$ILNR$$
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$$HKNP$$
Explanation
In ILNT:FHIN
$$I\overset{-3}{\rightarrow}F$$
$$L\overset{-4}{\rightarrow}H$$
$$N\overset{-5}{\rightarrow}I$$
$$T\overset{-6}{\rightarrow}N$$
Same as
In KOSV : ?
$$K\overset{-3}{\rightarrow}H$$
$$O\overset{-4}{\rightarrow}K$$
$$S\overset{-5}{\rightarrow}N$$
$$V\overset{-6}{\rightarrow}P$$
Hence option D is answer.
If $$A = E, B = F, C = G$$ and $$H = L$$, how will you code '$$GO$$ $$AHEAD$$'?
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$$K$$ $$S$$ $$F$$ $$L$$ $$I$$ $$F$$ $$H$$
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$$H$$ $$P$$ $$B$$ $$I$$ $$F$$ $$B$$ $$E$$
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$$K$$ $$S$$ $$G$$ $$L$$ $$I$$ $$G$$ $$H$$
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$$K$$ $$S$$ $$E$$ $$L$$ $$I$$ $$E$$ $$H$$
Explanation
Given, $$A = E$$, $$B = F$$, $$C = G$$, $$H = L$$ and so on.
Here each letter is replaced by the letter which is $$4$$ position ahead of it.
Similarly, $$G = K$$, $$O = S$$, $$A = E$$, $$H = L$$, $$E = I$$, $$A = E$$, $$D = H$$.
Therefore,
GO AHEAD
is coded as
KSELIEH
.
Hence, option (D) is the correct answer.
Find the wrong number in the given series.
$$9, 11, 20, 31, 53, 82$$
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$$20$$
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$$31$$
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$$53$$
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$$82$$
Explanation
The sum of any two consecutive terms of the series gives the next term.
So the wrong number in the series is 53.
Hence, option 'C' is correct.
In a coded language SHIFT is written as UFKDV, then COVET may be written in coded language as
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EMXCV
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FNYDU
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EXCUV
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EQUDS
Explanation
1st, 3rd and 5th letter is shifted by two alphabets in the forward sequence.
2nd and 4th letter is shifted by two in backward sequence of alphabets.
So,
C will become E
O will become M
V will become X
E will become C
T will become V
Therefore, COVET can be written as EMXCV.
Hence, option 'A' is correct.
In a coded language NUMBER is written as in MFNYVI, then FIGURE may be written in coded language as
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ERHFID
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URTVSF
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GJTFSF
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URTFIV
Explanation
According to the code given in question,
N is coded as M,
U is coded as F,
M is coded as N,
B as Y,
E as V,
R as I.
So, FIGURE can be coded as given in above figure i.e. U R T F I V.
Hence, option D is correct.
Find ?
EIKR : HMPX : : GKMT : ?
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KORY
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JORZ
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JNSZ
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INQZ
Explanation
In EIKR:HMPX
$$E\overset{+3}{\rightarrow}H$$
$$I\overset{+4}{\rightarrow}M$$
$$K\overset{+5}{\rightarrow}P$$
$$R\overset{+6}{\rightarrow}X$$
same as
in GKMT : ?
$$G\overset{+3}{\rightarrow}J$$
$$K\overset{+4}{\rightarrow}O$$
$$M\overset{+5}{\rightarrow}R$$
$$T\overset{+6}{\rightarrow}Z$$
Hence option B is answer.
FLIP : AEIN : : IKNT : ?
Report Question
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CGLR
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EGJR
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DGKR
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DHLS
Explanation
$$F\overset{+3}{\rightarrow}I$$
$$L\overset{+2}{\rightarrow}N$$ (goes to third place)
$$I\overset{+2}{\rightarrow}K$$ (goes to second place)
$$P\overset{+4}{\rightarrow}T$$
same as
$$A\overset{+3}{\rightarrow}D$$
$$E\overset{+2}{\rightarrow}G$$ (goes to third place)
$$I\overset{+2}{\rightarrow}K$$ (goes to second place)
$$N\overset{+4}{\rightarrow}R$$
Hence,DGKR is answer.
A and B are brothers.
C and D are sisters.
A's son is D's brother.
How is B related to C?
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Uncle
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Brother
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Father
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Grandfather
Explanation
$$B$$ is the brother of $$A$$
$$A's$$ son is $$D's$$ brother $$\implies$$ $$D$$ is the daughter of $$A$$.
Since, $$C$$ and $$D$$ are sisters.
$$\therefore C$$ is the daughter of $$A$$
So, $$B$$ is the uncle of $$C$$
Hence, option 'A' is correct.
Find the number which does not fit in the given series:
$$75,\ 79,\ 72,\ 80,\ 69,\ 83,\ 66,\ 86$$
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$$69$$
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$$72$$
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$$79$$
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$$83$$
Explanation
There are 2 series having alternate terms of the given series:
Series 1: $$75,72,,69,66$$
In the first series, the numbers decreases by $$3$$
Series 2: $$79,80,83$$
In the second series, the n
umbers are increasing by $$3$$.
Therefore, $$79$$ should be replaced by $$77$$ to obtain the next alternate number as $$80$$.
Hence, $$79$$ does not fit in the given series.
Find the wrong term which does not fit in the series.
$$89,78,86,80,85,82,83$$
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$$83$$
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$$82$$
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$$86$$
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$$78$$
Explanation
In the following question there are two series
First series is $$78,80,82...$$
$$78+2=80$$
$$80+2=82$$
Second is $$89,87,85,83...$$
$$89-2=87$$
$$87-2=85$$
$$85-2=83$$
Hence the complete series is
$$89,78,87,80,85,82,83$$
So the number $$86$$ is wrong term in the given series.
Hence, option 'C' is correct.
If C is brother of B, B is son of A, D is father of C and A is female, then how A is related to D ?
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Mother
0%
Father
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Sister
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Wife
Explanation
From the information given, we can conclude:
C and B are brothers.
D and A are husband- wife and they have 2 sons, C and B.
So A is the wife of D.
option D
In a certain code HEATER is written as KBDQHO, how will you encode COOLER?
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ALRIHV
0%
FLRIHO
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FLIRHO
0%
none of these
Explanation
HEATER is coded as KBDQHO
The order goes as follows
H+3=K
E-3=B
A+3=D
T-3=Q
E+3=H
R-3=O
Then COOLER is coded as
C+3=F
O-3=L
O+3=R
L-3=I
E+3=H
R-3=O
The code is FLRIHO
Answer is Option B
In a certain code, MONKEY is written as XDJMNL. How is TIGER written in that code?
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QDFHS
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SDFHS
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SHFDQ
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UJHFS
Explanation
MONKEY is coded as XDJMNL.
The code is reversed and follow this order,
M-1=L
O-1=N
N-1=M
K-1=J
E-1=D
Y-1=X
Therefore, code for TIGER will be
T-1=S
I-1=H
G-1=F
E-1=D
R-1=Q
Reversing the order QDFHS
Answer is Option A
If C is the husband of B, B is the daughter of A, A is mother of D and D is a boy, then how D is related to B?
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Husband
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Brother
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Son
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Father
Explanation
From the information given, we can conclude that:
C-B are husband wife.
A has 2 kids: B, the daughter and D, the son.
Then D must be the brother of B.
option B
Harsh is the father of Santosh.
Preeti is the daughter of Beena and Beena is the wife of Harsh.
Santosh is not the daughter of Beena.
Find out the relationship of Santosh and Preeti.
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Father-daughter
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Brother-sister
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Husband-Wife
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Mother-daughter
Explanation
From the given information, it can be concluded that
Harsh and Beena are husband-wife.
Their son is Santosh and their daughter is Preeti.
So Santosh and Preeti are brother-sister.
Hence, option B.
In a certain language $$WHITE$$ is written as $$DSRGV$$. How will $$BLACK$$ be written in that language?
Report Question
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$$YOZXP$$
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$$YOXZP$$
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$$YZOXP$$
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$$YOPXZ$$
Explanation
The word is coded by replacing each alphabet by the letter corresponding to its position from the end of the alphabetic series.
$$\therefore$$ $$A$$ $$\rightarrow$$ $$Z$$, $$B$$
$$\rightarrow$$ $$Y$$ and so on..
Applying the same logic, $$BLACK$$ is coded as $$YOZXP$$
Hence, option 'A' is correct.
In a family there are six members $$A, B, C, D, E$$ and $$F$$.
$$A$$ and $$B$$ are married couple,
$$A$$ being the male member.
$$D$$ is the only son of $$C$$ who is the brother of $$A$$.
$$E$$ is the sister of $$D$$.
$$B$$ is the daughter in law of $$F$$ whose husband has died.
How is $$F$$ related to $$A$$ ?
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Mother
0%
Sister-in-law
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Sister
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Mother-in-law
Explanation
Given,
A and B are married couple and B is the daughter in law of F
as A and B are wife and husband,A is the son of F.
Hence, option 'A' is correct.
If SCIENCE is coded as UFMJTJM, GENE will be coded as
Report Question
0%
HGQI
0%
IHRJ
0%
IHRI
0%
IHSJ
If in a certain code MANISH is written as NZMRHS, then how will RANJITA be written in the same code?
Report Question
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IZMQRGZ
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IZMPRGZ
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IZMQRHZ
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IZMQRIZ
Explanation
MANISH is coded as NZMRHS
M is the 13th letter +14 letter=27th letter is N
Similarly A+26=Z
N(14)+13=M (27)
I(9)+18=R(27)
S(19)+8=H(27)
H(8)+19=S(27)
Similarly,
RANJITA stands for
R(18)+9=I(27)
A(1)+26=Z(27)
N(14)+13=M(27)
J(10)+17=Q(27)
I(9)+18=R(27)
T(20)+7=G(27)
A(1)+26=Z(27)
Answer is Option A
Introducing a man, a woman said, "His wife is the only daughter of my father". How that man was related to the woman?
Report Question
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Brother
0%
Father-in-Iaw
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Maternal Uncle
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Husband
Explanation
The only daughter of my father is the woman herself.
So she is the man's wife.
So, the man is her husband.
option D.
Neelam, who is Rohit's daughter, says to Indu,"Your mother Reeta is the younger sister of my father, who is the third child of Sohanji." How is Sohanji related to Indu ?
Report Question
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Maternal-uncle
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Grandfather
0%
Father
0%
Father-in-law
Explanation
Rohit's sister is Reeta and their father is Sohanji.
Indu is Reeta's daughter.
So, Indu is Sohanji's grand-daughter.
$$\Rightarrow$$ Sohanji is Indu's grandfather.
option B.
If JUMP is coded as KVLO then GIVE will be coded as
Report Question
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HHWD
0%
HIUE
0%
HJUD
0%
HJVD
Explanation
JUMP is coded as KVLO
J+1=K
U+1=V
M-1=L
P-1=O
Then GIVE is coded as
G+1=H
I+1=J
V-1=U
E-1=D
Code is HJUD.
Answer is Option C
Soni, who is Dubey's daughter, says to Preeti, "Your mother, Shyama is the youngest sister of my father. Dubey's father's third child is Prabhat". How is Prabhat related to Preeti ?
Report Question
0%
Uncle
0%
Father
0%
Grandmother
0%
Father in law
Explanation
From the given information, it can be concluded:
Shyama, Dubey and Prabhat are siblings.
Dubey's daughter is Soni and Preeti is Shyama's daughter.
So, Prabhat is Preeti's maternal uncle.
Option A.
Aakash said to Mohit, "That boy in blue shirt is younger of the two brothers of the daughter of my father's wife". How is the boy in blue shirt related to Aakash ?
Report Question
0%
Father
0%
Uncle
0%
Brother
0%
Nephew
Explanation
From the sentence, we can conclude:
The daughter of my father's wife is my sister.
The boy in the blue shirt is the younger brother of Aakash himself.
so option D.
If EQOKYO stands for DOLLAR and QQXMBP stands for POUNDS, then MARKET stands for
Report Question
0%
NYOLGW
0%
NYOGLW
0%
LYOLGW
0%
NYOLWG
Explanation
Number of alphabets moved
D
$$1$$
E
O
$$2$$
Q
L
$$3$$
O
L
$$-1$$
K
A
$$-2$$
Y
R
$$-3$$
O
Number of alphabets moved
P
$$1$$
Q
O
$$2$$
Q
U
$$3$$
X
N
$$-1$$
M
D
$$-2$$
B
S
$$-3$$
P
Number of alphabets moved
L
$$1 $$
M
Y
$$2 $$
A
O
$$3 $$
R
L
$$-1 $$
K
G
$$-2 $$
E
W
$$-3 $$
T
The answer is option $$C$$
If TRAIN is coded as RPYGL, the code for SCOOTER would be
Report Question
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QAMMRCP
0%
QBNNRCP
0%
QAMMSBP
0%
QBNNSBP
If Anil is the brother of the son of Sunil's son, what is the relationship between Anil and Sunil?
Report Question
0%
cousin
0%
brother
0%
nephew
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grandson
Explanation
The son of Sunil's son is grandson of Sunil.
Grand son of Sunil is the brother of Anil.
$$\therefore$$ Anil is also the grandson of Sunil.
option D.
Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my grandmother."
Whom did Rahul defeat?
Report Question
0%
Son
0%
Father
0%
Brother
0%
Father-in-law
Explanation
Rahuls' grandmother's daughter is Rahul's paternal Aunt.
Her brother is Rahul's father.
So, Rahul defeated his father.
option B
Find the odd one out.
$$7$$, $$28$$, $$63$$, $$124$$, $$215$$, $$342$$, $$511$$
Report Question
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$$7$$
0%
$$28$$
0%
$$124$$
0%
$$215$$
Explanation
Clearly, the correct sequence is
$$\left(2^3 - 1 \right), \left(3^3 - 1 \right), \left(4^3 - 1 \right), \left(5^3 - 1 \right), \left(6^3 - 1\right),\left (7^3 - 1 \right), \left(8^3 - 1\right)$$
$$\therefore$$ $$28$$ is wrong and should be replaced by $$ \left (3^3 - 1 \right)$$ i.e. $$26$$
Hence, the answer is B
If in a certain language, FLOWER is coded as UOLDVI, then how is TERMINAL coded in that language ?
Report Question
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FLKPMROZ
0%
GVINRMZO
0%
RVNIGLKA
0%
MNIVGYEO
Explanation
FLOWER
F is 6 position from left U is 6th position from Right
L is 12 th position from left O is 12th position from Right
O is 15th position from left L is 15th position from right
W is 23rd position from left D is 23rd position from right
E is 5th position from left V is 5th position from right
R is 18th position from Left I is 18th position from right
Similarly for TERMINAL
T is 20th position from Left --- G is 20th position from Right
E is 5th postion from Left----- V is 5th position from Right
R is 18th position from left ----I is 18th position from Right
M is 13th position from left----N is 13th position from right
I is 9th position from left -----R is 9 position from right
N is 14 position from left----M is 14 th position from right
A is 1st position from left ----Z is 1st position from Right
L 12th position form left --- O is 12 th position from Right
TERMINAL will coded as GVINRMZO
How $$U$$ is related with $$T?$$
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0%
son
0%
mother
0%
grandson
0%
nephew
Explanation
$$T$$ and $$P$$ are wife and husband whose children are $$V,R,Q.$$
$$U$$ is the son of $$V.$$
$$\therefore $$ $$U$$ is the grandson of $$T.$$
Pointing to a person, a man said to a woman, "His mother is the only daughter of your father". How was the woman related to the person ?
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0%
Sister
0%
Mother
0%
Wife
0%
Daughter
Explanation
The only daughter of that woman's father is woman herself ,who is the mother of that person.
$$\therefore$$ Woman is mother of the person.
option B.
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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers
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