Ques 1.
Find the wrong number in given series 2, 34, 64, 92, 118, 142, 160
Solution :
2+16*2 =34
34+15*2=64
64+14*2=92
92+13*2 =118
118+12*2=142
142+11*2 = 164
Ques 2.
Difference between compound interest and simple is 930 at 10% per annum for 3 years . Find the sum ?
Solution :
Difference = P * [(300+R)*R^2] / [100]^3
==> 930 = P*[(300+10)*10^2] / [100]^3
==> P = 30,000
Ques 3.
P invested 5000 in for 1 year and Q joined later with 20000 . If at the end of year both received equal share of profit . Find how many months Q invested ?
Solution :
==> [5000*12]/[20000*X] = 1/1
==> X = 3 months
Ques 4.
X^2+11X+24 = 0 ; Y^2+12Y+35 = 0
Solution :
==> X^2+8X+3X+24=0
==> X(X+8)+3(X+8) =.0
==> X = -3 ; -8
==>Y^2+7Y+5Y+35=0
==> Y = -7 ; -5
No relationship established
Ques 5.
Present Average age of son and father is 34 . ratio of son and mother age is 5:9 . If mother age is 36 years , Find the age of father after 13 years ?
Solution :
36 -------- 9
X --------- 5
Son age (X) = 20
Father age = 34*2 - 20 = 48
Father age after 13 years = 48+13 = 61 years
Ques 6.
A 250 m long train crosses bridge with speed of 60 kmph in 24 sec . Find the length of bridge ?
Solution :
600m --------- 36 sec ( As reference of 60 kmph . It will cover 600m in 36 sec )
250 + X -------- 24 sec
==> X = 400-250 = 150m
Ques 7.
(1/8) / (2 1/8 ) * 34/5 * 4/3 = ?
Solution :
=1/8 * 8/17 * 34/5 * 4/3
Ques 8.
A , B and C can complete a work in 10 days , 20 days and 25 days respectively . If A is assistance by B and C on alternative days , then how many days it will take complete work ?
Solution :
L.C.M of 10 , 20 and 25 = 100
A efficiency = 10
B efficiency = 5
C efficiency = 4
One day A completes 10 units work and second day with assistance of B an C they completed 19 units
For 2 days they will complete = 29 units
Time taken to finish work (10 +19+10+19+10+19+10+3) = 7 3/19 days
Ques 9.
Gopi drew two cards from a pack of 52 cards . What is the probability of one spade and one queen ?
Solution :
Total number of spades in 52 cards of pack = 13
Total number of queens in 52 cards of pack = 4
Probability = [13C1*4C1]/[52C2]
= [13*4]/[52*51/2]
=[13*4]/[26*51] = 2/51
Ques 10.
Kapil makes 40% in 1st year and 2nd year he had loss of 10% of capital which he had at beginning of 2nd year .His overall gain and loss in capital ?
Solution :
Assume capital is 100
Gain or loos = 100 * 140/100 * 90/100 = 126
Gain = 126 - 100 = 26 %
