**IBPS CWE Solved Papers for Numerical Ability. Brief Study Book for IBPS CWE Numerical Ability.**

1. Gold is 19 times as heavy as water and copper 9 times. in what ratio should these metals be

mixed so that the mixture may be 15 times as heavy as water?

**ans:3:2**

2. how much chicory at Rs 4 / kg should be added to 15 kg of tea at Rs 10/kg,so that the mixture

be worth Rs 6.50/kg?

**ans:Rs 21 kg of chicory**

3. a mixture of 40 ltrs of milk and water contains 10% water. how much water must be added to

make water 20% in the new mixture?

**ans:5 ltrs**

4. a man has 30000 rupees to lend on loan. he lent some of his capital to mohan at an interest

rate of 12% per annum. at the end of one year he got 17% of his capital as interest. how much

did he lend to mohan?

**ans:Rs 18750/‐**

5. a vessel of 80ltrs is filled with milk and water. 70% of milk and 30% of water is taken out of the

vessel.it is found that the vessel is vacated by 55%. find the initial quantity of milk and

water?

**ans:50 ltrs**

6. a man has 60 pens. he sells some of these at a profit of 12% and the rest at 8% loss. on the

whole, he gets a profit of 11%.how many pens were sold at 12% profit and how many at 8%

loss?

**ans:19:1**

7. the ratio of milk and water in 66 kg of adulterated milk is 5:1. water is added to it to make the

ratio 5:3. the quantity of water added is?

**ans:22 ltrs**

8. a dishonest milkman professes to sell his milk at cost price but he mixes it with water and

thereby gains 25%. the percentage of water in the mixture is?

**ans:25%**

9. a sum of Rs 41 was divided among 50 boys and girls. each boy gets 90 paise and each girl 65

paise. the number of boys is?

**ans:34**

10.a can contains a mixture of two liquids A and B in proportion 7:5. when 9 ltrs of mixture are drawn

off and the can is filled with B the proportion of A and B becomes 7:9. how many litres of liquid A was

contained by the can initially?

**ans:36 ltrs**

**HCF AND LCM Explanations and Examples**

**1. Find the greatest weight which can be contained exactly in 1 kg 235 gm and 3 kg 430 gm?**

**ans:5**

**gm**

3.what is greatest number that will divide 2400 and 1810 and leave remainders 6 and 4

respectively?

**ans:42**

4.find the greatest no. which will divide 410,751 and 1030 so as to leave remainder 7 in each

case?

**ans: 31**

5. the product of two numbers is 7168 and their HCF is 16.find the numbers?

**ans:448,16 or 112,64**

6.find the least number which when divided by 18, 24, 30 and 42, will leave in each case the same

remainder 1?

**ans:2521**

7.find the least number which when divided by 2,3,4,5,6 leaves in each case a remainder of 1,but

when divided by 7 leaves no remainder?

**ans:301**

8.find the sum of numbers between 300 and 400 such that when they are divided by 6,9 and 12 , it

leaves no remainder.?

**ans:1080**

**Simple interest and compound interest Examples**

**1. in what time will Rs 390625 amount to Rs 456976 at 4% compound interest?**

**ans:4 yrs**

2. a sum of money placed at compound interest doubles itself in 4 yrs. in how many yrs will it

amount to eight times itself?

**ans: 12 yrs**

3. find the least number of complete yrs in which a sum of money at 20% CI will be more than

doubled?

**ans 4 yrs**

4. if CI on a certain sum for 2 yrs at 3% be Rs 101.50, what would be the SI?Rs 100

5. the difference between the CI and the SI on a certain sum of money at 5% per annum for 2 yrs

is Rs 1.50. find the sum?

**ans:Rs 600**

6. find the difference between the CI and the SI for the sum Rs 1500 at 10% per annum for 2

yrs?

**ans:Rs 15**

7. if the compound interest on a certain sum of money for 2 yrs at 5% is Rs 246, find the SI at the

same rate for the same time?

**ans: Rs240**

8. find the simple interest on Rs 306.25 from march 3 to july27 at 3.75% per annum?

**ans:Rs 4.59**

**nearly**

9. what annual payment will discharge a debt of Rs 770 due in 5 yrs, the rate of interest (si) being

5% per annum?

**ans:Rs 140**

10.a certain sum of money amounts to Rs 756 in two yrs and to Rs 873 in 3.5 yrs.find the sum and

the rate of interest.?

**ans:13% per annum**

**Ratio and proportion Examples**

1. if 0.7 of one number be equal to 0.075 of another, what is the ratio of the two

numbers?

**ans:3:28**

2. two sums of money are proportional to 8:9. if the first is Rs 20, what is the

other?

**ans:Rs22.50**

3. calculate the 4th proportional to the number 490,70,69?

**ans:60/7**

4. divide Rs 324.36 into three parts in the proportion of 5:6:7?

**ans:90.10,108.12,126.14**

5. if 30 men do a piece of work in 27 days, in what time can 18 men do anotherpiece of work

3 times as great?

**ans:135 days**

6. if 1000 copies of a book of sheets require 26 reams of paper , how much paper is required

for 5000 copies of a book of 17 sheets?

**ans:170 reams**

7. an employee reduces the no. of his employees in the ratio 9:8 and increases their wages in

the ratio 14:15. state whether his bill of total wages increaes or decreases, and in what

ratio?

**ans:decrease in bill,21:20**

8. what must be added to two numbers that are in ratio 3:4. so that they become in the ratio

4:5?

**ans:1**

9. the speed of three cars are in the ratio 2:3:4. what is the ratio among the times taken by

these cars to travel the same distance?

**ans:1/2:1/3:1/4 or,6:4:3**

**PROFIT AND LOSS Examples**

**1. man buys a shirt and a trouser for Rs 371. if the trouser costs 12% more than the shirt,find**

the cost of the shirt?

**ans.Rs 175**

2. if by selling 2 items for Rs 180 each the shopkeeper gains 20% on one and loses 20% on the

other, find the value of the loss?

**ans:Rs15**

3. by selling 15 mangoes a fruit vendor covers the cost price of 20 mangoes. find the profit

percentage?

**ans.33.33%**

4. a manufacturer makes a profit of 15% by selling a colour TV for Rs6900. if the cost of

manufacturing increases by 30% and the price paid by the retailer is increased by 20%, find

the profit percent made by the manufacturer?

**ans 6.15%**

5. find a single discount to equal three consecutive discount of 10%, 12% and 5%?

**ans 24.76%**

6. ashok bought an article and spent Rs 110 on its repair. he then sold it to bhushan at a profit

of 20%. bhushan sold it to charan at a loss of 10%. charan finally sold it for Rs 1188 at a

profit of 10%. find the cost price that ashok had to pay?

**ans Rs 890**

7. oranges are bought at 12 for a rupee and are sold at 10 for a rupee. find the percentage

profit or loss?

**ans 20%**

8. a digital diary is sold for Rs 935 at a profit of 10%.what would have been the actual profit or

loss on it, if he had sold his goods for Rs 810?

9. a trader allows discount of 5% for cash payment. how much percent above the cost price

must he mark his goods to make a profit of 10%? a

**ns. Rs115.59**

**This study guide or work book**is very essential for practising IBPS cwe online clerk Exam 2012.

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