1. Find the number of ways in which 5 different beads can be arranged to form a necklace.

(1) 120

(2) 60

(3) 30

(4) 12

(5) None of these

2. A card is drawn from a pack of playing cards, what is the probability of getting either a red or a queen?

(1) 4/13

(2) 7/13

(3) 1/13

(4) 1/26

(5) None of these

3. A man rows 20 km downstream and 16 km upstream taking 4 hours each time. What is the speed of current?

(1)0.4 kmph

(2)0.5 kmph

(3)0.6 kmph

(4)0.1 kmph

(5) None of these

4. On selling an item for Rs 20 a man gains 25%. In order to gain 40% what will be the increase in it’s selling price.

(1)Rs 3.40

(2)Rs 3

(3)Rs 2.62

(4)Rs 2.40

(5) None of these

5. The sum of money that will give Rs 2 as simple interest per day at the rate of 8% per annum is

(1)Rs 9125

(2)Rs 7236

(3)Rs 6382

(4)Rs 9262

(5) None of these

6. X can do a piece of work in 20 days and Y can do it in 10 days. They started together, but after 6 days X leaves off. Y will do the rest work in

(1) 1 day

(2) 2 days

(3) 7/3 days

(4) 3 days

(5) None of these

7. A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?

(1) 19/3% gain

(2) 17/3% loss

(3) 17% gain

(4) 20/9% loss

(5) None of these

8. In an exam, 60% of the total student passed. If the number of failed students is 320 then the total number of students is

(1)600

(2)700

(3)800

(4)900

(5) None of these

9. A cycle is bought for Rs 840 and sold at Rs 920. What is the percentage gain

(1)10.50%

(2)8.52%

(3)7.35%

(4)9.52%

(5) None of these

10. If Raj’s salary is 30% more than Amar’s salary, the how many percent is Amar’s salary less than that of Raj’s?

(1)56%

(2)23.07%

(3) 50/3%

(4)50.6%

(5) None of these

1. (4)

According to formula:

Number of arrangements = (5-1)!/2 = 12

2. (2)

26/52 + 2/52 = 28/52 = 7/13

3. 2;

Speed downstream = 20/4 = 5 kmph

Speed upstream = 16/4 = 4 kmph

Speed of current = 1/2 * (5-4)= 0.5 kmph

4. 4

SP = 20, gain = 25%

CP = 100/125 * 20 = Rs 16

Now, CP = 16, gain = 40%

SP = 140/100 * 16 = 22.40

Increase = 22.4 – 20 = 2.4

5. 1

Annual intetest = Rs 365 × 2 = Rs 730

Rate = 8%

Sum = (100 * 730)/8 = Rs 9125

6. 1

(X + Y)’s 6 days’ work = 6 * (1/20 + 1/10) = 9/10

Remaining work = 1 - 9/10 = 1/10

1/10 work is done 2y Y in 10 * 1/10 = 1 day

7. 4

Let the CP is Rs x.

Then, x * 110/100 = 990

x = 900

Now CP is Rs 900 and SP is 880.

% loss = 20/900 * 100 = 20/9%

8. 3

Let the number of student is x out of that 40% have failed.

40/100 * x = 320

x = 320 * 100/40 = 800

9. 4

CP = Rs 840 and SP = Rs 920

Gain = 920 – 840 = Rs 80

gain percentage = 80/840 * 100 = 9.52%

10. 2;

Amar’s salary is less than of Raj 2y

(R/100 + R * 100)% = (30/(100 + 30) * 100)%

(30/130 *100 )% = 300/13% = 23% APPROX

(1) 120

(2) 60

(3) 30

(4) 12

(5) None of these

2. A card is drawn from a pack of playing cards, what is the probability of getting either a red or a queen?

(1) 4/13

(2) 7/13

(3) 1/13

(4) 1/26

(5) None of these

3. A man rows 20 km downstream and 16 km upstream taking 4 hours each time. What is the speed of current?

(1)0.4 kmph

(2)0.5 kmph

(3)0.6 kmph

(4)0.1 kmph

(5) None of these

4. On selling an item for Rs 20 a man gains 25%. In order to gain 40% what will be the increase in it’s selling price.

(1)Rs 3.40

(2)Rs 3

(3)Rs 2.62

(4)Rs 2.40

(5) None of these

5. The sum of money that will give Rs 2 as simple interest per day at the rate of 8% per annum is

(1)Rs 9125

(2)Rs 7236

(3)Rs 6382

(4)Rs 9262

(5) None of these

6. X can do a piece of work in 20 days and Y can do it in 10 days. They started together, but after 6 days X leaves off. Y will do the rest work in

(1) 1 day

(2) 2 days

(3) 7/3 days

(4) 3 days

(5) None of these

7. A radio is sold for Rs 990 at a profit of 10%. What would have been the gain or loss in percentage had it been sold for Rs 880?

(1) 19/3% gain

(2) 17/3% loss

(3) 17% gain

(4) 20/9% loss

(5) None of these

8. In an exam, 60% of the total student passed. If the number of failed students is 320 then the total number of students is

(1)600

(2)700

(3)800

(4)900

(5) None of these

9. A cycle is bought for Rs 840 and sold at Rs 920. What is the percentage gain

(1)10.50%

(2)8.52%

(3)7.35%

(4)9.52%

(5) None of these

10. If Raj’s salary is 30% more than Amar’s salary, the how many percent is Amar’s salary less than that of Raj’s?

(1)56%

(2)23.07%

(3) 50/3%

(4)50.6%

(5) None of these

ANSWERSANSWERS

1. (4)

According to formula:

Number of arrangements = (5-1)!/2 = 12

2. (2)

26/52 + 2/52 = 28/52 = 7/13

3. 2;

Speed downstream = 20/4 = 5 kmph

Speed upstream = 16/4 = 4 kmph

Speed of current = 1/2 * (5-4)= 0.5 kmph

4. 4

SP = 20, gain = 25%

CP = 100/125 * 20 = Rs 16

Now, CP = 16, gain = 40%

SP = 140/100 * 16 = 22.40

Increase = 22.4 – 20 = 2.4

5. 1

Annual intetest = Rs 365 × 2 = Rs 730

Rate = 8%

Sum = (100 * 730)/8 = Rs 9125

6. 1

(X + Y)’s 6 days’ work = 6 * (1/20 + 1/10) = 9/10

Remaining work = 1 - 9/10 = 1/10

1/10 work is done 2y Y in 10 * 1/10 = 1 day

7. 4

Let the CP is Rs x.

Then, x * 110/100 = 990

x = 900

Now CP is Rs 900 and SP is 880.

% loss = 20/900 * 100 = 20/9%

8. 3

Let the number of student is x out of that 40% have failed.

40/100 * x = 320

x = 320 * 100/40 = 800

9. 4

CP = Rs 840 and SP = Rs 920

Gain = 920 – 840 = Rs 80

gain percentage = 80/840 * 100 = 9.52%

10. 2;

Amar’s salary is less than of Raj 2y

(R/100 + R * 100)% = (30/(100 + 30) * 100)%

(30/130 *100 )% = 300/13% = 23% APPROX