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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
58% (01:48) correct
42%
(01:35)
wrong
based on 228
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In a group of 150 students, find the number of girls. (1 rupee = 100 paise)
(1) Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49.
(2) Girls and boys were given 30 paisa each to buy goods totaling Rs. 45.
(1) Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49.
(2) Girls and boys were given 30 paisa each to buy goods totaling Rs. 45.
Updated on: 31 Jul 2021, 21:35
Originally posted by BrushMyQuant on 31 Jul 2021, 09:45.
Last edited by BrushMyQuant on 31 Jul 2021, 21:35, edited 1 time in total.
Last edited by BrushMyQuant on 31 Jul 2021, 21:35, edited 1 time in total.
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In a group of 150 students, find the number of girls
Let number of girls be g and boys be 150-g
Statement 1 : Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49
*Assuming entire amount is spent*
Total Money = Rs 49 = 49*100 paisa = 4900 paisa
Total amount with girls = Money given to each girl * g = 50*g = 50g
Total amount with boys= Money given to each boy* (150-g) = (150-g)*25
Total Money = Total amount with girls + Total amount with boys = 50g + (150-g)*25 = 4900
Divide by 25 we get
2g + 150-g = 196
=> g = 196-150 = 46 and b = 150-g = 104
=> SUFFICIENT
Statement 2 : Girls and boys were given 30 paisa each to buy goods totaling Rs. 45
*Assuming entire amount is spent*
Total Money = Rs 45 = 45*100 paisa = 4500 paisa
Total amount with girls = Money given to each girl * g = 30*g = 30g
Total amount with boys= Money given to each boy* (150-g) = (150-g)*30
Total Money = Total amount with girls + Total amount with boys = 30g + (150-g)*30 = 4500
Divide by 30 we get
g + 150-g = 150
Now g will cancel out and we will be left with 150=150
=> This statement is not sufficient as we cannot solve for g or b
=> NOT SUFFICIENT
So, Answer will be A
Hope it helps!
Let number of girls be g and boys be 150-g
Statement 1 : Each girl was given 50 paisa, while each boy was given 25 paisa to purchase goods totaling Rs. 49
*Assuming entire amount is spent*
Total Money = Rs 49 = 49*100 paisa = 4900 paisa
Total amount with girls = Money given to each girl * g = 50*g = 50g
Total amount with boys= Money given to each boy* (150-g) = (150-g)*25
Total Money = Total amount with girls + Total amount with boys = 50g + (150-g)*25 = 4900
Divide by 25 we get
2g + 150-g = 196
=> g = 196-150 = 46 and b = 150-g = 104
=> SUFFICIENT
Statement 2 : Girls and boys were given 30 paisa each to buy goods totaling Rs. 45
*Assuming entire amount is spent*
Total Money = Rs 45 = 45*100 paisa = 4500 paisa
Total amount with girls = Money given to each girl * g = 30*g = 30g
Total amount with boys= Money given to each boy* (150-g) = (150-g)*30
Total Money = Total amount with girls + Total amount with boys = 30g + (150-g)*30 = 4500
Divide by 30 we get
g + 150-g = 150
Now g will cancel out and we will be left with 150=150
=> This statement is not sufficient as we cannot solve for g or b
=> NOT SUFFICIENT
So, Answer will be A
Hope it helps!
dcn1102
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31 Jul 2021, 11:08
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IMO A.
Making an equation from statement 2 we get G + B = 150 which is already a given . Hence, not sufficient.
Statement 1 gives us G/2 + B/4 = 49 and also G + B = 150 is already given.
Making an equation from statement 2 we get G + B = 150 which is already a given . Hence, not sufficient.
Statement 1 gives us G/2 + B/4 = 49 and also G + B = 150 is already given.
