Ques 1.
Bus starts running at the speed of 50 kmph .The speed of the bus increases by 3 kmph at end of every one hour .What will be the distance covered at the end of 7 hours from the start of the journey ?
Solution :
Total Distance = n/2 ( 2a + (n-1)d)
= 7/2 (2*50+(7-1)*3)
= 413 Km
Ques 2.
What will be the difference between the Compound Interest and Simple Interest earned on a sum of 2000 at the rate of 12 pcpa at end of 2 years ?
Solution :
Difference for 2 years = (p* r^2)/(100)^2
= 2000*12^2/100^2
=2000*144/10000
=28.8
Ques 3.
50 25 37.5 93.75 328.125 ?
Solution :
50*0.5=25
25*1.5=37.5
37.5*2.5=93.75
93.75*3.5=328.125
328.125*4.5=1476.5625
Ques 4.
Siva started a business investing 120000 . After 6 months Karan joined with 180000. After another 6 moths Giri also joined them with 2.7lakh . The profit earned at the end of 3 years when Siva started the business should be distributed among 3 persons in the ratio of ?
Solution :
Ratio = (120000 * 36 months ) : ( 180000 * 30months ) : (270000*24months)
= 4:5:6
Ques 5.
The cost of 26 CPUs and 6 Monitors is 13800 and the cost of 13 CPUs and 7 Monitors is 14200. What is the cost of 10 Monitors ?
Solution :
26C + 6M = 13800 ---(i)
13C + 7M = 14200 ---(ii)
From i & ii
M = 1825
10 Monitors = 1825*10=18250
Ques 6.
Hari has some hens and some cows . The total number of animals heads is 40 and total number of legs is 112 .How many hens does Hari have ?
Solution :
Assume all animals are hens , hence total legs = 40*2=80
Assume all animals are cows , hence total legs = 40*4=160
From question total legs =112
80. 160
112
48 32
= 48:32=3:2
Hens = 3/5 * 40 = 24
Ques 7.
A bag contains 8 black , 7 green , 6 yellow balls . What is the probability that 3 balls drawn at random are either black or green ?
Solution :
= {(8C3 + 7C3 )/(21C3) }= 13/190
Ques 8.
If edge of cube is increased by 50% then by what percentage will have the volume of cube increases ?
Solution :
Volume =100
New Volume = 100 *1.5*1.5*1.5 =337.5
Increased volume = 337.5-100=237.5
Ques 9.
Find Approximate value : ? *5*4.9 - 13.11*4.01*4 = 117
Solution :
25x = 117+13*16
25x = 117+208
X = 325/25=13
Ques 10.
2x^2 + 11x +15=0 ; 4y^2 + 22y+24=0 , Find relation between x and y ?
Solution :
2x^2+6x+5x+15 = 0
==> x = -6/2 ; -5/2
4y^2 +16y+6y+ 24 =0
==> y = -16/4 ; -6/4 = -4; -3/2
Hence no relationship can be established.
