Ques 1.
7130*19.87+13.06*1921 = ?
Solution :
==> 7130*20+13*1920
==> 14200+24960 = 167560
Ques 2.
484 729 1024 1369 1764 ?
Solution :
(22)^2=484
(27)^2=729
(32)^2=1024
(37)^2=1369
(42)^2=1764
(47)^2=2209
Ques 3.
3. I . 6x^2-17x+12=0 ; II. 6y^2-7y+2=0
Solution :
==> 6x^2-9x-8x+12=0
==>(3x-4)(2x-3)=0
==> x= 4/3 ; 3/2
Ques 4.
Two persons P and Q can finish a piece of work in 60 days , while P,Q and R can finish the same work in 40 days .How many days will R alone take to finish half of the work ?
Solution :
Take L.C.M of 40,60 =120 = Total work
Efficiency of P and Q = 120/60 =2
Efficiency of P,Q and R = 120/40=3
P+Q = 2
P+Q+R =3
==> R Efficiency = 1
Half of the work =120/2=60
R will finish = 60/1 = 60 days
Ques 5.
How many numbers between 300 and 800 can be made by using digits 2,4,5,6 and 0 ?
Solution :
Required Numbers = 3* 4p2 = 3*12= 36
Ques 6.
A shopkeeper bought a Bike at 40% discount on its original price. He sold it at a price 50% higher than in the original price. What percentage profit did he make ?
Solution :
Assume Original price =100
After 40% discount =60
If he sold 50% higher than original price = 150
Profit =150-60=90
Profit percentage = 90*100/60 =150%
Ques 7.
A is thrice as good a workman as B and together they finish a piece of work in 21/4 days . In how many days will B alone finish same work ?
Solution :
Assume A efficiency =3
B efficiency =1
Work = efficiency * days
==> 21/4 * (3+1)=21
B will finish work = work/efficiency = 21/1 =21 days
Ques 8.
A principal at simple interest of 8% per annum amounts to Rs 24,056 after 3 years. What was the original principal ?
Solution :
Assume Principal = 100%
Amount = 100% + (8*3)=124%
124% ---- 24,056
100% ---- ?
Principal = (24,056*100)/124 = 19,400
Ques 9.
A,B and C started business investing 19,200 ; 12,800 and 22,400 respectively .Out of a total profit of 51,408 . What is A's share ?
Solution :
Ratio of A , B and C = 19200 : 12,800 : 22,400
==> 6:4:7
A's share = (6*51,408)/17 = 18,144
Ques 10.
Present ages of Fatima and her mother are in the ratio of 2:3 respectively. Five years ago the ratio of their ages was 9:14 respectively . What will Fatima's age 6 years from now ?
Solution :
Ratio = 2:3
5 years ago ratio = 9:14
Present ratio = 2:3 * 5 ( here 5 is difference between 14 and 9) = 10:15
5 years ago ratio = 9:14*1(here 1 is difference between 2 and 3) = 9: 14
Fatima age difference ratio = 10-9=1 units
1 unit = 5 years
10 units= 50 years
After 6 years Fatima age =50+6=56 years
