- There are 52 playing cards, 1 card is drawn at random, what is the probability that it is either a king or a queen ?
3/132/135/184/152/5Option B

required = (4C1) + (4C1)

=4 + 4 = 8

total = 52C1 = 52

probability = 8/52 = 2/13 - If length of a rectangular is increased by 25% and its breadth is reduced by 10%, then find the percentage change in its area.
18%15%12%25%12.5%Option E

Let the length of rectangular = 100

After increased = 125

breadth of rectangular = 100

After decreased = 90

original area = 100 * 100 = 10000

now area = 125 * 90 = 11250

% increased = 1250/10000* 100 = 12.5% - A candidate scores 30% and fails by 20 marks, while another candidate who scores 50% marks, get 20 marks more than the pass marks. What is the pass marks.
1008012015060Option B

Let total marks = 100%

30%+20 = 50% – 20

20% = 40

1% = 2 marks

pass marks = 30% + 20 = 60 + 20 = 80 marks - A is twice as good as B and hence can complete a piece of work in 5 days less than B. In how many days the work will be complete by B alone ?
12 days15 days4 days8 days10 daysOption E

Efficiency ratio of A and B = 2 : 1

Let time taken by B = x days

time taken by A = (x – 5) days

2 (x – 5) = x * 1

2x – 10 = x

x = 10 days - A started a business with investing rs.4500, after 6 months B joined the business with capital rs.4000. At the end of the one year they earned a profit of 1690, then what is the profit share of B ?
6801170520750800Option C

Profit sharing ratio of a A and B = (4500 * 12) : (4000 * 6) = 9 : 4

profit share of B = 1690 * 4/13 = 520 - Ratio of present age of P and Q is 8 : 7. Before four years and after two years the ratio of age of P and Q is 3 : 4. What will be the age of P after 4 years.
20 years25 years40 years50years30 yearsOption A

Let the present age of P and Q = 8x and 7x

ATQ, 8x – 4 / 7x + 2 = 3/4

32x – 16 = 21x + 6

11x = 22

x = 2

Age of P after 4 years = 8 * 2 + 4 = 20 years - The average mark of 36 students of class is 40. The average marks first 20 students is 42 and the next 14 students is 40. Find the average marks of rest 2 students of the class.
2540482028Option D

Total marks of 36 students = 36 * 40 = 1440

Total marks of first 20 students = 20 * 42 = 840

Total marks of next 14 students = 14 * 40 = 560

Total marks of rest 2 students = 1440 – (840 + 560) = 40

Average marks of rest 2 students = 40/2 = 20 marks - A trader 550 kg of rice, a part of which he sells at 24% profit and the rest part at 20% loss and on the whole transaction he losses 8% what is the quantity sold at 20% loss ?
400 kgs300 kgs420 kgs150 kgs280 kgsOption A

In 1st case In 2nd case

24% (-) 20

(-8%)-8%- (-20%) = 12% 24%-(-8%)=32%

ratio = 12 : 32 = 3 : 8

quantity sold at 20% loss = 550/8 + 3 * 8 = 400 kgs - A certain sum is to be divided between A, B and C in the ratio of 4 : 5 : 6. But by mistake it was divided in the ratio of 5:4:6. Thus B losses by rs.150. Find the sum.
24502250200040002500Option B

Original share of A, B and C = 4x, 5x and 6x respectively.

By mistake A, B and C got their share = 5x, 4x and 6x respectively

So that, B losses = rs.80

sum = 150/5x-4x * 15x

150/x* 15x = 2250 - A boat takes 6 hours to cross a distance of 180 km in downstream speed. If the speed of stream is 5 km/hr, then how many hours a boat can take to cross a distance of 40 km in upstream speed ?
4 hours6 hours5 hours3 hours2 hoursOption E

speed of stream = 5 km/hr

downstream speed of boat = 180/6 = 30 km/hr

speed of boat in still water = 30 – 5 = 25 km/hr

upstream speed of boat = 25 – 5 = 20 km/hr

time = 40/20 = 2 hours