Quantitative
section
In today's section let us have practice on some Problems Related to Week 1:
1. A neon sign flashes every 3 seconds, another sign flashes every 5 seconds and a 3rd flashes every 7 seconds.If they all flash togather how many seconds will pass before they all flashes simultaneously again.
A. 15 sec
B. 35 sec
C. 105 sec
D. 21 sec
Solution:
Lets be simple : Question is telling us that at X time they all have been flashes. Now at which time supose Y, they again flashes togather.
Supose A,B&C Flashes togather at 1 PM then ,
A B C
1,0 sec 1,0sec 1,0sec
1,3 sec 1,5sec 1,7sec
1,6 sec 1,10sec 1,14sec
1,9 sec 1,5sec 1,21sec
| | |
| | |
| | |
1,105 sec 1,105sec 1,105sec
So most simple answer will be through LCM= 3*5*7=105
2.The greatest number which exactly divides 1155 and 735 is.
A. 25
B. 5
C. 15
D. 105
Solution:
Greatest number which divide both mean it is asking about common factor which is highest in value in both, simply it is asking about HCF(highest common factor)
735 ) 1155 ( 1
0735
_________
420 ) 735 ( 1
420
_________
315 ) 420 ( 1
315
_________
105
3. It take Riaz 30 mint to make a paper .Razi only need 25 minute to make a paper. If they both start marking paper at 11:00 AM, What is first time they will finish marking a paper at same time?
A. 12:30
B. 12:45
C. 1:30
D. 12:25
Solution:
Question clearly asking about LCM.
so LCM of 25 and 30 is 150 minute so
Answer is 2:30 hour and it mean 1:30 PM (C)
4. Beena buys two off-cuts of ribbon in a sale. One is 153 cm long the other is 204 cm long. She cuts them so that she ends up with a number of piece all the same length. What is the greatest length each piece can be?
A. 39
B. 6
C. 17
D. 51
Solution :
Simple answer to this Question is find HCF of 153 and 204 which is:
153: 3*3*17
204: 2*2*3*17
so 3 *17=51
5.Ahmed has a rectangular garden measuring 4.32 m by 3.36m. He wants to divide it into square plots of equal size . What is largest sized square he can use?
A. .24
B. .48
C. .16
Solution:
1st find hcf of 4.32 and 3.36 which is .96 . Now simply Divide it by 2
.96/2= .48
6. Three bells toll after intervals of 6, 9 and 15 minute ,respectively. If they toll togather at 5 p.m, when will they toll togather next?
A. 6:30
B. 5:30
C. 6:45
D. 5:45
Solution:
It is same question as question 1. so simply LCM will give the answer
6,9,15 = 3*2*5*3=90 minute means 6.30 PM
7. The chairs in school hall can be set out in 25 equal rows or in 40 equal rows or in 120 equal rows are:
A. 600
B. 400
C. 40
D. 80
Solution:
LCM of 25 , 40 and 120 = 5 * 5 * 8* 3= 600
Note: if you have any question or you want furhter explaination then kindly comment below .
In today's section let us have practice on some Problems Related to Week 1:
1. A neon sign flashes every 3 seconds, another sign flashes every 5 seconds and a 3rd flashes every 7 seconds.If they all flash togather how many seconds will pass before they all flashes simultaneously again.
A. 15 sec
B. 35 sec
C. 105 sec
D. 21 sec
Solution:
Lets be simple : Question is telling us that at X time they all have been flashes. Now at which time supose Y, they again flashes togather.
Supose A,B&C Flashes togather at 1 PM then ,
A B C
1,0 sec 1,0sec 1,0sec
1,3 sec 1,5sec 1,7sec
1,6 sec 1,10sec 1,14sec
1,9 sec 1,5sec 1,21sec
| | |
| | |
| | |
1,105 sec 1,105sec 1,105sec
So most simple answer will be through LCM= 3*5*7=105
2.The greatest number which exactly divides 1155 and 735 is.
A. 25
B. 5
C. 15
D. 105
Solution:
Greatest number which divide both mean it is asking about common factor which is highest in value in both, simply it is asking about HCF(highest common factor)
735 ) 1155 ( 1
0735
_________
420 ) 735 ( 1
420
_________
315 ) 420 ( 1
315
_________
105
3. It take Riaz 30 mint to make a paper .Razi only need 25 minute to make a paper. If they both start marking paper at 11:00 AM, What is first time they will finish marking a paper at same time?
A. 12:30
B. 12:45
C. 1:30
D. 12:25
Solution:
Question clearly asking about LCM.
so LCM of 25 and 30 is 150 minute so
Answer is 2:30 hour and it mean 1:30 PM (C)
4. Beena buys two off-cuts of ribbon in a sale. One is 153 cm long the other is 204 cm long. She cuts them so that she ends up with a number of piece all the same length. What is the greatest length each piece can be?
A. 39
B. 6
C. 17
D. 51
Solution :
Simple answer to this Question is find HCF of 153 and 204 which is:
153: 3*3*17
204: 2*2*3*17
so 3 *17=51
5.Ahmed has a rectangular garden measuring 4.32 m by 3.36m. He wants to divide it into square plots of equal size . What is largest sized square he can use?
A. .24
B. .48
C. .16
Solution:
1st find hcf of 4.32 and 3.36 which is .96 . Now simply Divide it by 2
.96/2= .48
6. Three bells toll after intervals of 6, 9 and 15 minute ,respectively. If they toll togather at 5 p.m, when will they toll togather next?
A. 6:30
B. 5:30
C. 6:45
D. 5:45
Solution:
It is same question as question 1. so simply LCM will give the answer
6,9,15 = 3*2*5*3=90 minute means 6.30 PM
7. The chairs in school hall can be set out in 25 equal rows or in 40 equal rows or in 120 equal rows are:
A. 600
B. 400
C. 40
D. 80
Solution:
LCM of 25 , 40 and 120 = 5 * 5 * 8* 3= 600
Note: if you have any question or you want furhter explaination then kindly comment below .
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ADMIN SKOnlineLearning 