简化 - 在线测验



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Questions and Answers

问题 1 - 2567 / 17 * 3 = ? + 180

A - 51

B - 73

C - 271

D - 273

答案:D

解释

let 2567 / 17 * 3 = x + 180 . Then,
2567 * 1/17 * 3 = x +  180 ⇒ x = (151 * 3 ) - 180 = (453 - 180) = 273

问题 2 - 3/8 + 1/2 的 3/16 = ?

A - 15/16

B - 21/128

C - 15/32

D - 3/4

答案:C

解释

given exp =3/8 +1/2 of 3/16 = 3/8 +3/32 = ( 12+3)/32 = 15/32

问题 3 - 7/2 /5/2 * 3/2 / 7/2 / 5/2 的 3/2 / 5.25 = ?

A - 4/21

B - 7/3

C - 3/7

D - 5.25

答案:C

解释

given exp. =  (7/2/5/2*3/2)/ (7/2 /5/2 of 3/2 ) / 525/100
= (7/2*2/5*3/2)/(7/2 /15/4) /525/100 = (21/10)/(7/2*4/15) /21/4
= (21/10)/(14/15) / 21/4 =  (21/10* 15/14*4/21)= 3/7

问题 4 - 1+ 2 / { 1+2 /(1+1/3 )} =?

A - 9/4

B - 9/5

C - 21/4

D - 21/5

答案:B

解释

given exp.  = 1+2/{1+2/4/3}
= 1+2/{1+2*3/4}
= 1+2/{1+3/2}
= 1+2/5/2
= 1+2*2/5
= 1+4/5
= 9/5

问题 5 - 1+ 1/ 1+2 / 2+3/ (1+ 4/5 ) =?

A - 22/17

B - 17/11

C - 28/17

D - 45/17

答案:C

解释

given exp. = 1 + 1 /(1 + 2/(2+3/(9/5))) = 1 + 1/(1+2)/(2+5/3)
= 1 + 1/1+2/(11/3)
= 1 + 1/(1+6/11)
= 1 + 11/17
= 28/17

问题 6 - ( 1/ 1.4 + 1/ 4.7 + 1/ 7.10 + 1/ 10.13+ 1/ 13.16) = ?

A - 1/3

B - 5/16

C - 3/8

D - 41/ 7280

答案:B

解释

given exp. =  1/3 [ (1-1/4) + (1/4 -1/7)+ (1/7 -1/10)+ (1/10 -1/13)+ (1/13 -1/16)
= 1/3 ( 1- 1/16) =  1/3 * 15/16 =  5/16

问题 7 - 如果 a/3 = b/4 = c/7,则 (a+b+c)/c=?

A - 1/7

B - 1/2

C - 2

D - 7

答案:C

解释

Let a/3 = b/4 = c/7 = k. Then,  a = 3k, b = 4k and c = 7k.
∴ (a + b + c ) / c = ( 3k + 4k + 7k ) / 7k = 14k / 7k = 2.

问题 8 - 如果 p/q = 7,则 P+Q/P-Q = ?

A - 7/8

B - 1/3

C - 2/3

D - 4/3

答案:D

解释

p+q/ p-q = ( p/q +1)/ (p/q-1)  = (7+1)/(7-1)  = 8/6 = 4/3 

问题 9 - x2 - (y-z)2/ (x+z)2-y2+ y2 -(x-z)2/ (x+y)2-z2+ z2- (x-y)2/ (y+z)2- x2 = ?

A - -1

B - 0

C - 1

D - 以上均不正确

答案:C

解释

given exp. = [ x+(y-z)][x-(y-z)]/(x+z+y)(x+z-y)
 + [y+(x-z)][y-(x-z)]/(x+y+z) (x+y-z)
 + [z+(x-y)][z-(x-y)]/(y+z+x) (y+z-x)
 = (x+y-z)(x+z-y) / (x+y+z) (x+z-y)
 + (x+y-z) (y+z-x) / (x+y+z)(x+y-z)
 + (z+x-y) (y+z-x) / (y+z+x) (y+z-x)
 = (x+y+z)/(x+y+z) + (y+z-x)/(x+y+z) + (z+x-y)/(x+y+z)
 = (x+y+z)/(x+y+z)
 = 1

问题 10 - 一个组织有三个股东 A、B 和 C。所有股东按以下方式获得利润份额:A 获得 1/3 的利润份额,B 获得 1/4 的利润份额,剩余的 5000 元利润成为 C 的份额。求 A 获得的利润份额是多少?

A - 2500 元

B - 3000 元

C - 3500 元

D - 4000 元

答案:D

解释

Let the total profit be rs. x. then,
x/3 + x/4 +5000   = x ⇒ 4x+ 3x+ 60000 = 12x
⇒  5x = 60000 ⇒  x = 12000.
Share of profit received by A = (1/3 * 12000) = 4000 Rs.

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