General Mathematics

Question: The average weight of `8`men is increassed by `1.5 kg `when one of the men who weight `65`kg is replaced by anew men .The weight of e new man is :
A
`76 kg`

B
`76.5 kg`

C
`76.7 kg`

D
`77 kg`

Note: Total weight increased `= (8 xx 1.5) kg` `= 12 kg` Weight of new man `= (65 + 12) kg` `= 77 kg`
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Question: The average weight of `9`mangoes increases by `20` g if one of them weighting `120`g is replaced by anpther.The weight of the new mango is :
A
`180 g`

B
`200 g`

C
`260 g`

D
`300 g`

Note: Total weight increased `= (9 xx 20) gm` `= 180 gm` Weight of new mango `(120 + 180) gm` `= 300 gm`
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Question: The average weight of `6` men decreases by `3` kg when one of them weighting `80` kg is replaced by a new man. The weight of new man is :
A
`56 kg`

B
`58 kg`

C
`62 kg`

D
`76 kg`

Note: Total weight decreased `=(6 xx 3) kg` `= 18 kg` weight of new man `= (80 - 18) kg` `= 62 kg`
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Question: The average of `5` consecutive numbers is n.If next two number are also included, the average will
A
increase by `1`

B
remain the same

C
increase by `1.4`

D
increase by `2`

Note: Let five consecutive numbers be x,x + 1,x + 2,x + 3, & x + 4. Their average `= (5x + 10)/5` `= (x + 2)`. Average of `7` numbers `= (5x + 10) + (x + 5) + (x + 6)/7` `= (x + 3)`. So, the average increased by `1`.
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Question: The average age of a commitiee of eight members is `40` years. A member aged `55` years retired and his place was taken by another member aged `39` years .The average age of the present committee is :
A
`39 years`

B
`38 years`

C
`36 years`

D
`35 years`

Note: Required average `= ((8 xx 40 - 55 + 39)/8)` `= 304/8` `= 38 years`
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Question: A cricketer has a certain average for `9` innings. In the tenth inning, he scores `100` runs ,thereby increasing his average by `8` runs. His new average is :
A
`20 runs`

B
`24 runs`

C
`28 runs`

D
`32 runs`

Note: Let average for `9` innings be x. Then, `(9x + 100)/10` `= x + 8 ⇒ 10x + 80` `= 9x + 100 ⇒ x = 20`. :. New average `= (x + 8)` `= 28 runs`.
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Question: A man whose bowling average is `12.4` takes `5` wickets for `26` runs and thereby decreases his average by `0.4`.The number of wickets, taken by him before his last match is :
A
`85`

B
`78`

C
`72`

D
`64`

Note: Let the number of wickets taken before the last match be x. Then, `(12.4x + 26)/(x + 5)` `= 12 ⇒ 12.4x + 26` `= 12x + 60` ` ⇒ 0 .4x ` `= 34 ⇒ x = 34/0.4` `= 340/4` `= 85`
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Question: The mean temperature of Monday to Wednesday was `37∘C and of Tuesday to Thursday was `34∘C.If the temperature on Thursday was `4/5 th`that of Monday ,the temperature on Thursday was:
A
`36.5^0 C`

B
`36^0 C``

C
`35.^0 C`

D
`34^0 C`

Note: M + T + W `= (3 xx 37)` `= 111, T + W + Th` `= (3 xx 34)` `= 102` `Now ,Th = 4/5 M ⇒ M = 5/4 Th`. (M + T + W) - (T + W + Th) `= 9 ⇒ M - Th = 9 `⇒ (5/4 Th - Th = 9)` `or Th = 36`
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Question: The average weight of `3` men A ,B and C is `84 kg`.Another man D joins the group and the average now becomes `80 kg`.If another man E,whose weight is `3 kg`more than that of D,replaces .A then the average weight of B,C,D and E becomes `79 kg`.The weight of A is :
A
`70 kg`

B
`72 kg`

C
`75 kg`

D
`80 kg`

Note: A + B + C `= (84 xx 3)` `= 252 kg`, A + B + C + D `= (80 xx 4)` `= 320 kg` `:. D = (320 - 252) kg` `= 68 kg, E = (68 + 3) kg` `= 71 kg` B + C + D + E `= 316 kg` Now (A + B + C + D) - (B + C + D + E) `= (320 - 316) kg` `= 4 kg` `:. A - E = 4 ⇒ A ⇒ A` `= (4 + E)` `= 75 kg`.
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Question: A team of `8` person joins in a shooting compertition. The best marksman scored `85`points.If he had scored `92`points ,the average score for the team would have been `84`.The number of points ,the team scored, was :
A
`672`

B
`665`

C
`645`

D
`588`

Note: Let the total score be x. `:. (x + 92 - 85)/8` `= 84 ⇒ x + 7 ` `= 672 ⇒ x = 665`.
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Question: The average weight of `8`men is increassed by `1.5 kg `when one of the men who weight `65`kg is replaced by anew men .The weight of e new man is :

Question: The average weight of `9`mangoes increases by `20` g if one of them weighting `120`g is replaced by anpther.The weight of the new mango is :

Question: The average weight of `6` men decreases by `3` kg when one of them weighting `80` kg is replaced by a new man. The weight of new man is :

Question: The average of `5` consecutive numbers is n.If next two number are also included, the average will

Question: The average age of a commitiee of eight members is `40` years. A member aged `55` years retired and his place was taken by another member aged `39` years .The average age of the present committee is :

Question: A cricketer has a certain average for `9` innings. In the tenth inning, he scores `100` runs ,thereby increasing his average by `8` runs. His new average is :

Question: A man whose bowling average is `12.4` takes `5` wickets for `26` runs and thereby decreases his average by `0.4`.The number of wickets, taken by him before his last match is :

Question: The mean temperature of Monday to Wednesday was `37∘C and of Tuesday to Thursday was `34∘C.If the temperature on Thursday was `4/5 th`that of Monday ,the temperature on Thursday was:

Question: The average weight of `3` men A ,B and C is `84 kg`.Another man D joins the group and the average now becomes `80 kg`.If another man E,whose weight is `3 kg`more than that of D,replaces .A then the average weight of B,C,D and E becomes `79 kg`.The weight of A is :

Question: A team of `8` person joins in a shooting compertition. The best marksman scored `85`points.If he had scored `92`points ,the average score for the team would have been `84`.The number of points ,the team scored, was :