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- Question 1 of 29
##### 1. Question

Rakesh is on 9th position from upwards and on 38th position from downwards in a class. How many students are in class?

##### Hint

Total students = [Rakesh’s position from upwards + Rakesh’s position from downwards] – 1

= [9 + 38] – 1 = 46 - Question 2 of 29
##### 2. Question

Hemang is 16th from the top and twelfth from the bottom in merit in the class. How many students are there in the class?

##### Hint

Total number of students in the class = 16 + 12 – 1 =27

- Question 3 of 29
##### 3. Question

Roshan ranked 11th from the top and thirty one from the bottom in a class . How many students are there in the class?

##### Hint

Tr = 11, Br = 31

⇒ no. of students = Tr + Br – 1 = 11 + 31 – 1 = 41 - Question 4 of 29
##### 4. Question

Sunita ranked 11th from the top and 27th from the bottom in a class. How may student are in the class?

##### Hint

Tr = 11, Br = 27.

\ Number of students in the class = 11 + 27 – 1 = 37. - Question 5 of 29
##### 5. Question

Manish is fourteenth from the right end in a row of 40 boys. What is his position from the left end ?

##### Hint

Clearly, number of boys towards the left of Manish = (40 – 14) = 26.

So, Manish is 27th from the left end. - Question 6 of 29
##### 6. Question

Vijay’s position is 14th from upwards in a class of 43 students. What will be his position from downwards?

##### Hint

Vijay’s position from downwards = (Total students –Vijay’s position from upwards + 1)

= [43 – 14] + 1 = 30th - Question 7 of 29
##### 7. Question

Ram and Sham are ranked 13th and 14th respectively is a class of 23. What are their ranks from the last respectively?

##### Hint

Rank of Ram from the last = 23 – 13 + 1 = 11

and Rank of Shyam from the last = 23 – 14 + 1 = 10 - Question 8 of 29
##### 8. Question

Mohan and Ramesh are ranked seventh and eleventh respectively from the top in a class of 41 students. What will be their respective ranks from the bottom in the class

##### Hint

Rank of Mohan from the bottom = (41 + 1) –7=35th.

Rank of Ramesh from the bottom = (41 + 1) – 11=31st. - Question 9 of 29
##### 9. Question

Ravi is 7 ranks ahead of Sumit in a class of 39. If Sumit’s rank is seventeenth from the last, what is Ravi’s rank from the start?

##### Hint

Sumit is 17 th from the last and Ravi is 7 ranks ahead of Sumit. So, Ravi is 24 th from the last.

Number of students ahead of Ravi in rank = (39 – 24) = 15.

So, Ravi is 16th from the start. - Question 10 of 29
##### 10. Question

In a class of 20 students, Alisha’s rank is 15th from the top. Manav is 4 ranks above Alisha. What is Manav’s rank from the bottom ?

##### Hint

Manav’s rank from the top = 15 – 4 = 11th.

Manav’s rank from the bottom = 20 + 1 – 11 = 10th - Question 11 of 29
##### 11. Question

In a class of forty students, Samir’s rank from the top is twelfth. Alok is eight ranks below Samir. What is Alok’s rank from the bottom?

##### Hint

Total students = 40

12(Sameer) • • • • • • • 20(Alok)

∴ Alok’s rank from bottom = 40 – (12 + 8) + 1 = 21st - Question 12 of 29
##### 12. Question

In a row of 21 girls, when Monika was shifted by four place towards the right, she became 12th from the left end. What was her earlier positions from the right end of the row ?

##### Hint

The change of place by Monika can be shown as under.

1 2 3 4 5 6 7 ⑧ 9 10 11 ⓬ 13 14 15 16 17 18 19 20 21

21 – (12 – 4) + 1 = 14

Clearly, Monika’s earlier position was 8th from the left and 14th from the right end. - Question 13 of 29
##### 13. Question

In a row at a bus stop, A is 7th from the left and B is 9th from the right. Both of them interchange their positions and thus A becomes 11th from the left. How many people are there in that row?

##### Hint

After interchanging their positions, position of A from left = 11

then positions of A form right = 9.

\ The total no. of people in the row = (9 + 11) – 1 = 19. - Question 14 of 29
##### 14. Question

In a row of children, Dipa is fifth from the left and Vijay is sixth from the right. When they interchange their places among themselves, Dipa becomes thirteenth from the left. Then, what will be Vijay’s position from the right ?

##### Hint

Present postion of Vijay = Difference of two postions of Dipa + previous postion of Vijay

= (13 – 5) + 6 = 14th - Question 15 of 29
##### 15. Question

In a row of boys, Suresh is seventh from the left and Rohit is twelfth from the right. If they interchange their positions, Suresh becomes twenty- second from the left. How many boys are there in a row ?

##### Hint

Suresh’s new position is 22nd from left. But it is the same as Rohit’s earlier position which is 12th from right.

⇒ The number of persons in a row = (22 + 12 – 1 ) = 33 - Question 16 of 29
##### 16. Question

In a row of girls . Rita and Monika occupy the ninth place from the right end and tenth place from the left end respectively. If they interchange their places, then Rita and Monika occupy seventh place from the right and eighteenth place from the left respectively How many girls are there in the row ?

##### Hint

Since Rita and Monika exchange places, so Rita’s new position is the same as Monika’s earlier positions . This position is 17th from the right and 10th from the left

∴ Number of girls in the row = (16 + 1 + 9) = 26. - Question 17 of 29
##### 17. Question

In a line of boys, Ganesh is 12th from the left and Rajan is 15th from the right. They interchange their positions. Now, Rajan is 20th from the right. What is the total no. of boys in the class?

##### Hint

Total students = (Previous position of Ganesh + Present position of Rajan) – 1

= (12 + 20) – 1 = 31 - Question 18 of 29
##### 18. Question

In a row of thirty five children, M is fifteenth from the right end and there are ten children between M and R. What is R’s position from the left end of the row?

##### Hint

v

- Question 19 of 29
##### 19. Question

In a queue, Vijay is fourteenth from the front and Jack is seventeenth from the end, while Mary is in between Vijay and Jack. If Vijay be ahead of Jack and there be 48 persons in the queue, how many persons are there between Vijay and Mary?

##### Hint

Number of persons between Vijay and Jack = 48 – (14 + 17) = 17

Now, Mary lies in middle of these 17 persons

i.e., Mary’s Position is 9th from front

So, number of persons between Vijay and Mary = 7. - Question 20 of 29
##### 20. Question

In a class of 10 girls and 20 boys, Jaya’s rank is ‘4’ among the girls and ‘18’ in the class. What is Jaya’s rank among the boys in the class?

##### Hint

3 Girls are ahead of Jaya.

∴ 14 Boys are ahead of Jaya.

∴ Jaya’s rank is 15th among the boys in the class. - Question 21 of 29
##### 21. Question

In a class of 45 students, among those students who passed, Anmol secured 11th position from upwards and 15th from downwards. How many students failed?

##### Hint

Failed Students = [Total students] – [(Anmol’s position from upwards) + (Anmol’s position from downwards) – 1]

= 45 – [(11 + 15) – 1] = 20 - Question 22 of 29
##### 22. Question

Malay Pratap is on 13th position from the starting and on 17th position from the end in his class. He is on 8th position from the starting and on 13th position from the end among the students who passed. How many students failed?

##### Hint

Total boys = [Malay’s place from starting + Malay’s place from end] –1

= [13 + 17] – 1 = 29

Number of passed students = [Malay’s place from starting + Malay’s place from end] –1

= [8 + 13] – 1= 20

∴ Number of failed students = 29 – 20 = 9 - Question 23 of 29
##### 23. Question

Manisha ranked sixteenth from the top and twenty-ninth from the bottom among those who has passed an examination. Six boys did not participate in the examination and five failed in it. How many boys were there in the class.?

##### Hint

Number of boys who passed = 16 + 29 – 1 = 44

\ Total number of boys in the class = 44 + 6 + 5 = 55 - Question 24 of 29
##### 24. Question

In a queue, A is eighteenth from the front while B is sixteenth from the back. If C is twenty fourth from the front and is exactly in the middle of A and B, then how many persons are there is the queue ?

##### Hint

A is 18th from front and C is 24th

Number of persons between A and C = 6.

Since C is exactly in middle of A and B, so number of persons between C and B = 6.

∴ Number of persons in the queue = ( 17 + 6 + 6 + 16 ) = 45. - Question 25 of 29
##### 25. Question

In a row of 40 girls, when Komal was shifted to her left by 4 places her number from the left end of the row became 10. What was the number of Swati from the right end of the row if Swati was three places to the right of Komal’s original positions.?

##### Hint

On shifting 4 the left Komal is 10th from the left end of the row. Thus, komal’s original position was 14th from the left end.

Swati is 3 places to the right of Komal’s original positions

Clearly, swati is 14 + 3 = 17 th from the left end.

Number of girls to the right of swati = (40 – 17) = 23.

Thus, Swati is 24th from the right end of the row. - Question 26 of 29
##### 26. Question

In a row of 40 students facing North, Kailash is 6th to the left of Soman. If Soman is 30th from the left end of the row, how far is Kailash from the right end of the row?

##### Hint

Kailash’s position from the right end of the row = 40 – 23 = 17th

- Question 27 of 29
##### 27. Question

In a class of 60, where girls are twice that of boys, kamal ranked seventeenth from the top. If there are 9 girls ahead of kamal, how many boys are after him in rank ?

##### Hint

Let the number of boys be x.

Then, number of girls = 2x.

∴ x + 2x = 60 or 3x = 60 or x = 20.

So, number of boys = 20 and number of girls = 40.

Number of students behind Kamal in rank (60 – 17) =43.

Number of girls ahead of Kamal in rank = 9.

Number of girls behind Kamal in rank = (40 – 9) = 31

∴ Number of boys behind Kamal in rank = (43 – 31) = 12. - Question 28 of 29
##### 28. Question

If you count 21 letters in the english alphabet from the end and 20 letters from the beginning, which letter will exactly appear in the middle of the sequence thus formed?

##### Hint

By counting 21 letters from the end and 20 letters from the beginning we get the following sequence

F G H I J K L M N O P Q R S T

Obviously, the letter M appears exactly in the sequence formed. - Question 29 of 29
##### 29. Question

In the first and second digits in the sequence 5 9 8 13 2 7 4 3 8 are interchanged. Also the third and fourth digits, the fifth and sixth digits and so on, which digit would be the seventh counting to your left ?

##### Hint

The new sequence becomes 9 5 1 8 2 3 4 7 8 3 counting to the left, the seventh number is 8.

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