Mathematical And Logical Reasoning - Class 11 Commerce Applied Mathematics - Extra Questions

If TAP is coded as SZO, then how is FREEZE coded?

Each letter in the word TAP is moved one step backward to obtain the corresponding letter of the code 'SZO'.
Thus, in FREEZE, F will be coded as E, R as Q ,E as D and Z as Y. So, the code for 'FREEZE' is 'EQDDYD'.

If each consonant in the word 'EXPLORATION' is replaced by the previous alphabet and each vowel is replaced by the alphabet following it of the English alphabetic series and then the order of the alphabets thus formed is reversed which of the following will be the seventh from the right?

New formation = F W O K P Q B S J P M
On reversing = M P J S B Q P K O W F
Hence seventh letter form the right end =B

Which letter replaces the question mark?

$$\textbf{Step-1: Observe the given circles to get the required unknown.}$$

                 $$\text{The sum of the letters in the three adjacent circles on each side}$$ $$\text{of the diagram is always 30.}$$

                 $$\text{K}$$

$$\textbf{Hence, answer is K}$$

Which letter replaces the question mark?

Start with the top left hand segment of the top left hand square, and move around the other squares in a clockwise direction. Letters are written in sequence in steps of 5 letters at a time for the top left segment, 6 letters for the top right, 7 for the bottom right and 8 for the bottom left. The relative positions of the letters in each sequence move 1 segment clockwise at every step.

K

Which segment fills the gap?

Answer: 1

Start at the top left and move down, then along one space to the right and up the next column, in a snakes and ladders pattern. Letters are written in alternate squares, in steps of 2 letters at a time.

Which letter replaces the question mark?

Start on the left of the diagram, and work in columns, top to bottom, from left to right. Letters are written in sequence, in steps of 2, then 4, then 6, then 8, before repeating this pattern.

B

If BHOPAL is written as EERMDI, how is POWDER written?

Given, BHOPAL is written as EERMDI. Now, POWDER is written as SLZAHO as shown below:

In a certain coding system ETTPI stand for APPLE. What is the code for DELHI ?

Given, 'ETTPI' stands for 'APPLE'.
 Here, each letter of the word 'APPLE' is moved 4 step backward to give the code 'ETTPI'.
Similarly, 'DELHI' is coded as 'HIPLM'.

If ZXV stands for ACE; what will YZW stand for?

Given, ZXV stands for ACE. 
Here, the letter are decoded by substituting their represented letters in the natural order i.e.,  'Z' is 1st in the reverse series and 'A' is 1st in natural series and so on.
Similarly, YZW stands for BAD.

Which letter replaces the question mark?

Taking the numerical value of each letter, they follow the sequence of Prime Numbers.

S

Which letter replaces the question mark?

Start with the C at the centre of the diagram and follow 2 sequences of letters, both clockwise from the C, one around the upper half of the diagram, and one around the lower half. Letters in the upper half advance through the alphabet in steps of 7 letters at a time, and letters in the lower half advance in steps of 9.

D

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{In each diagram, the central letter falls midway between the left and right hand letters, $\\$and the top and bottom letters.}$$

                $$\text{For last diagram,Q should be in between J and missing letter}$$

                $$\Rightarrow \text{Following this pattern,Missing letter will be after 7 letters from Q as J is 7 steps before Q }$$

                $$\therefore \text{X will be after 7 steps from Q.}$$

                 

$$\textbf{Therefore the missing letter in sequence is X}$$

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{Taking each pair of letters in each row, the numerical value of one letter $\\$equals the inverse numerical value of the other letter.}$$

                $$\Rightarrow \text{Following this pattern, the missing letter will be at a position which is inverse of the position of J}$$

                $$\Rightarrow \text{Numerical value of missing letter will be 10 starting from Z since the position of J is 17}$$

                $$\therefore \text{ Q will be at 10th step from Z .}$$   

              

$$\textbf{Therefore the missing letter in the sequence is Q}$$

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{Start on the upper left of each diagram, and move to the right, then down the last 2 $\\$boxes in the centre. Letters are written in alphabetical order, in steps of 5 for the $\\$left hand diagram, 6 for the next  then 7 then 8.}$$

                $$\text{For the last diagram, letters are written with steps 8}$$

                $$\Rightarrow \text{Following this pattern, missing letter will be after 8 letters from A}$$

                $$\therefore \text{I will be after 8 steps from A .}$$ 

                

$$\textbf{Therefore the missing letter in the sequence is I}$$

Which letter replaces the question mark?

$$\textbf{Step-1: Observe the given pattern in the circle to get the required unknown.}$$

                 $$\text{Split the circle into 4 quarters, horizontally and vertically,}$$ 

                 $$\text{with 2 segments each. Starting with the top left segment,}$$   

                 $$\text{the sum of the numerical values of the letters in the 2 segments}$$ 

                 $$\text{equals 15. The sum of the next pair of segments clockwise equals 16,}$$ $$\text{then 17, then 18.}$$

                  $$\text{K}$$

$$\textbf{Hence, answer is K}$$

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{In each pattern, two sequences are used in these five grids, both only using the lines $\\$containing three letters. Firstly, move along the horizontal lines from top left to bottom $\\$right in steps of four, starting with the A. Secondly, move down the vertical lines in steps $\\$of six, starting with the E.  Whenever two numbers cross add the numerical values together $\\$and put the solution in the middle.}$$

                $$\Rightarrow \text{Following this pattern, the missing letter will be F}$$        

$$\textbf{Therefore the missing letter is F}$$

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{Treat each star as 2 intersecting triangles, and start on the top or the left of each triangle $\\$in each star and move clockwise around it. Letters are written in alphabetical order in $\\$steps of 6 for the left hand star, 7 for the central one and 8 for the right hand star.}$$

                $$\text{For right hand star ,consider triangle with}$$ $$ I,$$ $$_$$$$,Y$$ $$\text{as element}$$

                $$\Rightarrow \text{Following this pattern, the missing letter will be after 8 letters from I}$$

                $$\therefore \text{Q will be after 12 steps from I .}$$  

               

$$\textbf{Therefore the missing letter in the sequence is Q}$$

Which letter replaces the question mark?

The diagram contains 3 sets of 4 letters - one set of outer corner letters, one set of inner corner letters, and one set of letters on each side of the square. The numerical values of the letters in each set add up to 40.

D

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{Converting each letter to its numerical value, and reading pairs of circles as 2 digit numbers, $\\$arranged in two vertical columns, numbers follow the sequence of multiples of 7, starting $\\$with 14 and ending with 63.}$$

                $$\text{For 1st two-digit number-}$$

                $$A$$ $$D$$ 

                $$\Rightarrow \text{Numerical value for 2 pair of circle=14}$$

                $$F$$   $$_$$

                $$\Rightarrow \text{Numerical value for this letters is 63}$$    

             

                $$\therefore \text{After F, there will be C which is at 3rd position.}$$

                 

$$\textbf{Therefore the missing letter in sequence is C}$$

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{Join pairs of letters at opposite sides of the diagram, with lines which run through the center. $\\$The sum of the numerical values of the pairs of letters is always 25.}$$

                $$\because \text{Numerical value of F is 6 and sum of missing term value and 6 should be equal to 25}$$

                $$\Rightarrow \text{Numerical value of missing letter =25-6=19}$$

                $$\therefore \text{Missing letter will be at 19th position which is S}$$                  

          

$$\textbf{Therefore the missing letter in sequence is S}$$

Which letter replaces the question mark?

Start on the top left of the diagram, and move clockwise in a spiral towards the centre. Letters advance through the alphabet in steps of 5.

H

Which letter replaces the question mark?

$$\textbf{Step 1: Observe the sequence to find missing letter}$$

                $$\text{Numerical position of alphabets are given below-}$$

$$ A -1$$                  $$ B -2$$                  $$ C -3$$                  $$ D -4$$                  $$ E -5$$                  $$ F -6$$                  $$ G -7$$

$$ H -8$$  $$  I  -9$$ $$ J -10$$ $$ K -11$$ $$ L -12$$ $$ M -13$$

$$ N -14$$ $$ O  -15$$ $$ P -16$$ $$ Q -17$$ $$ R -18$$ $$ S -19$$

$$ T -20$$  $$ U -21$$ $$ V -22$$ $$ W -23$$ $$ X -24$$ $$ Y -25$$ $$ Z -26$$

                $$\text{In each triangular shape, start on the extreme left and move in a clockwise spiral towards the centre. $\\$Letters are written in alphabetical order, in steps of 6 letters for the left hand shape, $\\$7 letters for the centre, and 8 letters for the right hand shape.}$$

                $$\Rightarrow \text{Following this pattern, the missing letter will be 8 letters after P}$$

                $$\therefore  \text{X will be after 8 steps from P}$$

$$\textbf{Therefore the missing letter in the sequence is X}$$

If EODGH is the code for BLADE, what is the code for CRICKET?

FULFNHW

The word RUN is coded as SVO. What should be the code letters of LAY?

Here,
$$\therefore$$ LAY should be MBZ.

In a certain code DELHI is written as CDKGH. How is SUSPECT written in code?

Clearly, we can see that each letter of the word DELHI is moved one step backward to obtain the code.
Similarly, SUSPECT will be coded as RTRODBS.

What does "ppp" stand for in music?

P in music stands for piano (not the instrument, but the dynamic), which means soft. Pianissimo is pp, which means very soft, and ppp means very very soft (pianississimo).
Piano is a dynamic just like forte (loud), which tells you how to play a piece of music.
This chart shows roughly how loud an instrument should be played when a specific dynamic has been asked for.

If in certain code language, $$MEDICATE$$ is written s $$GVCEKFGO$$, then how will $$VALIDATE$$ be written in the same code language? 

$$M\underline { +2 } \,O$$   $$V \underline { +2 }\, X$$

$$E \underline { +2 }\, G$$   $$A \underline { +2 }\, C$$

$$D\underline { +2 }\, F$$    $$L\underline { +2 } \,N$$

$$I \underline { +2 }\,K$$     $$I\underline { +2 } \,K$$

$$C \underline { +2 } \,E$$   $$D\underline { +2 } \,F$$ 

$$A \underline { +2 } \,C$$  $$A\underline { +2 } \,C$$

$$T \underline { +2 } \,V$$    $$T \underline { +2 } \,V$$

$$E \underline { +2 } \,G$$   $$E \underline { +2 } \,G$$

$$MEDICATE=GVCEKFGO$$ So $$VALIDAATE = GVCCFKNCX$$

Class 11 Commerce Applied Mathematics Extra Questions

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• Circles Extra Questions
• Descriptive Statistics Extra Questions
• Differentiation Extra Questions
• Functions Extra Questions
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