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Question 15 Marks
In a family of seven members, three generations are living together. The family has two married couples with two children each. Dharmesh has two grandchildren. There are two housewives. Dharmesh who is Bhavesh's father, is a Doctor and earns the most. Yuvraj is the son of Anuja. Anuja is married to an Engineer. Who is Kamla's son. Sonal is the grand-daughter of one of the housewives and she is a classical dancer. Sarika is the sister of an Engineer and herself is a Teacher.
(i) What is Bhavesh's profession ?
(ii) How many female members are there in the family?
(iii) Who are the childern's of Kamla ?
(iv) Write the names of two married couples.
Answer
We first draw family chart to understand the relationship with each other.
Image
In the above chart, we can see that Dharmesh (Doctor) is the husband of Kamla (housewife). They have two children, one son and one daughter namely Bhavesh (Engineer) and Sarika (Teacher). Bhavesh is married to Anuja (Housewife) and they have two children namely Yuvraj and Sonal.
(i) Bhavesh's profession in Engineer.
(ii) There are four females in the family.
(iii) Bhavesh and Sarika are the children of Kamla.
(iv) Married couples in the family are :
Dharmesh - Kamla
and Bhavesh-Anuja
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Question 25 Marks
If $A$ is the son of $P, B$ is $P^{\prime}$ s sister, $B$ has a son $Q$ and a daughter $C, R$ is the maternal uncle of $Q$, then answer the following questions.
(i) How is $A$ related to $Q$ ?
(ii) How is $C$ related to $R$ ?
(iii) What is the relationship of $P$ with $C$ and $Q$ ?
(iv) How many nephews does $R$ have?
(v) How many brothers does $B$ have?
Answer
First we have to draw the family chart from the given relationship.
Image
From the above chart, we see that $P$ has only one son. $A, B$ is the only sister of $P$ and $R$ also, $B$ has one son $(Q)$ and one daughter $(C)$. So, $R$ and $P$ are the maternal uncle of $Q$ and $C$.
(i) $A$ is the cousin brother of $Q$.
(ii) $C$ is the niece of $R$.
(iii) $P$ is the maternal uncle of $C$ and $Q$ both.
(iv) $R$ has two nephews, $A$ and $Q$
(v) B has two brothers, $P$ and $R$.
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Question 35 Marks
In column-I, some words are given. In column-II, their codes are given but they are not arranged in same order in which they are in column-I. Study the letters in both columns and find out the code to the letter given in each of the following questions
Column IColumn II
(1)SOUND(a)abi
(2)ADDRESS(b)cjmv
(3)CRUX(c)ikmop
(4)NET(d)ijktv
(5)CRONY(e)jkgotv
(6)CROWDY(f)blooppu
(i) What is the code for the letter $A$ ?
(ii) What is the code for the letter $C$ ?
(iii) What is the code for the letter $D$ ?
(iv) What is the code for the letter $N$ ?
(v) What is the code for the letter $O$ ?
Answer
It is clear from the question that column-I and column-II are not correctly matched. SOUND has three letters code in front of it, through it should have four word code. So, the first step in this question is to match column-I and column-II.
NET is the only three letters code, so its code will be abi. The only four letters word is CRUX, so its code will be cjmv. The only six letters word is CROWDY. Hence, its code will be $j k g o t v$. The only seven letters word is ADDRESS. Hence, its code is blooppv. We have two five letters words SOUND and CRONY with codes $i j k t v$ and ikmop. Now words, CRONY and CRUX have two common letters $C, R$ and only two codes $j$ and $v$ are common in coding of CRUX and CRONY i.e., cjmv and ijktv. Hence, code for CRONY is $j k t v e$ and for SOUND it is ikmop. Therefore, correct matching of column-I and II is as under.
Column IColumn II
(1)NET(a)abi
(2)CRUX(b)cjmv
(3)CRONY(c)ijktv
(4)SOUND(d)Ikmop
(5)CROWDY(e)jkgotv
(6)ADDRESS(f)blooppu
(i) From statement VI, it is clear that $A$ stands for ' $l^{\prime}$ as these letters are not appearing in other words. 
(ii) From statements II and III, $C R=j v$ from VI, $R=V$. Hence, $C=j$.
(iii) From statement VI, $D S=o p$ and from statement V , $D=0$.
(iv) From statement I and IV, $N=i$.
(v) From statement III and IV, ON $=i k$ and from the previous question, we know $N=i$. Therefore, $O=$ $k$.
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Question 45 Marks
In the following table some capital alphabets are written in a row, below them their coding have been given. Now in questions a particular word has been coded in a particular manner using codes as given below the capital letter. You have to understand the pattern of coding and answer the following questions.
ABCDEFGHIJKLMNOPQRSTUVWXYZ
ua2vbw3t4xsy5z6cd87erh9ipq
(i) If DASH is coded as $2 a 84$, then what is the code for SMASH ?
(ii) If FASHION is coded as aat4cx, then what is the code for POSITION ?
(iii) If DEER is coded as $v w 8$ and TOSS is coded as $e 6 e$, then what is the code for DOTT ?
(iv) If MAIDEN is coded as $y u x 2 b 6$, then what is the code for FIBRES?
(v) If MAY is coded as yzqaiq, then what is the code for TIE?
(vi) If LONDON is coded as $5 c 62 z 5$, then what is the code for EUROPE?
Answer
(i) In the word DASH, letters at the odd places have been moved one place back and letters at the even places have been moved one place ahead regarding the position of codes given in the table. Therefore, SMASH can be coded as 8 zqe3.
(ii) The codes for the respective letters of the FASHION as per table have been reversed in the coding. So, POSITION can be coded as z64e476c.
(iii) In both the words DEER and TOSS, codes for each letters have been used just below the letters in the table except for the letter that has been written twice i.e., $E$ and S. For these letters, codes have been used just one position ahead in the table that too only one. Therefore, DOTT can be codded as V6r.
(iv) In the word MAIDEN, for the $2^{\text {nd }}$ and $5^{\text {th }}$ letter, codes have been used from just below the letters, for the $1^{\text {st }}$ and $4^{\text {th }}$ letter, codes have been used from one position back and for $3^{\text {rd }}$ and $6^{\text {th }}$ letter codes have been used one position ahead as their position in table.
Therefore, the word FIBRES can be coded as $b 42 d b e$.
(v) For the each of the letters of the word MAY, adjacent codes have been used. Therefore, the word TIE can be coded as 7 rtxvw.
(vi) In word LONDON, first three letters have been coded one position in forward direction and last three position in backward direction. Therefore, word EUROPE can be coded as wh7z6v.
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5 Marks Questions - Applied Maths STD 11 Science Questions - Vidyadip