- Train A crosses a 400m long bridge and a pole in 32 second and 12 seconds respectively. If length of train B is 40m more then the length of train A and speed of train B is 32m/sec. Then how much time required if train A and B is running in opposite direction ?
14 sec4 sec18 sec10 sec19 secOption D

Let length of train A = x

x+400/32 = x/12

32x = 12x + 4800

20x = 4800

x = 240

speed of train A = 240/12 = 20m/sec

length of train B = 240 + 40 = 280m

speed of train B = 32m/sec

Time = 240 + 280/32 + 20 = 520/52 = 10sec - The ratio of number of male and female in a group is 8 : 5. If the percentage of male and female increased by 20% and 25% respectively. Then find the new ratio of male and female, if total number of male and female is 260 initially.
8 : 35 : 47 : 85 : 34 : 11Option D

Total number of male and female = 260

number of male = 260 * 8/13 = 160

number of female = 260 * 5/13 = 100

increased male = 160 * 5/4= 200

increased female = 100 * 6/5 = 120

ratio = 200 : 120 = 5 : 3 - The ratio of age of A and B before 5 years is 2 : 3 and D is 12 years elder than B. The present age of C is one fourth of the present age of D. If the age of C after 6 years is 14 years, then find the present age of B.
28 years20 years34 years38 years42 yearsOption B

Let the age of A and B before 5 years = 2x and 3x

present age of A = 2x + 5

present age of B = 3x + 5

present age of D = 3x + 5 + 12 = 3x + 17

present age of C = 3x + 17/4

present age of C = 14 – 6 = 8 years

3x + 17/4 = 8

3x + 17 = 32

3x = 32 – 17

3x = 15

x = 5

present age of B = 3x + 5 = 20 years. - A bag contain 4 red pens, 6 green pens and 8 blue pens. If 2 pens are taken at randomly, then find the probability that there are no blue pens.
8/175/178/152/84Option B

required = 10C2 = 10 * 9/2 * 1 = 45

total = 18C2 = 18 * 17 / 2*1 = 153

probability = 45/153 = 5/17 - Shiva invested rs.4200 in a scheme at 18% per annum for 3 years at simple interest and he also invested same amount in another scheme at 20% per annum for 3 years. What is the difference between simple interest and compound interest which he earned from both the scheme ?
880789.6435.6940840Option B

simple interest = 4200*18/100*3 = 2268

by applying successive method,

20 + 20 + 400/100 = 44%

44 + 20 + 880/100 = 72.8

compound interest = 4200 * 72.8/100 = 3057.6

Difference = 3057.6 – 2268 = 789.6 - Directions : what will be the wrong number in the following wrong number series ?

34, 35, 43, 52, 116, 945116435294534Option D

The series is (+1)^2, (+2)^3, (+3)^2, (+4)^3, (+5)^2 - 18, 10, 11, 17.5, 36, 94
17.510183694Option E

The series is (*.5 + 1), (*1 + 1), (*1.5 +1), (*2 + 1) , (*2.5 + 1) - 52, 56, 65, 90, 139, 260
52566590260Option B

The series is, (+2)^2, (+3)^2, (+5)^2, (+7)^2, (+11)^2 - 5, 8, 21, 70, 290, 1461
52908146170Option B

The series is (*1 + 3), (*2 + 5), (*3 + 7), (*4 + 9), (*5 + 11) - 153, 161, 177, 215, 233, 273
161177233215233Option D

The series is, (+8), (+16), (+24), (+32), (+40)