Question Bank  Arithmetic  Kamal Lohia

Number of Questions  40
Topic  Arithmetic
Answer Key Available  Yes (Last post)
Source  Quant Master Forum

Q1) The average age of a group of boys is 18 years, while that of girls is 16 years. The average age of the class is 16.4 years. Find the maximum number of boys in the class given that the strength of class is a two digit number.
a. 99
b. 59
c. 31
d. 19
e. 16

Q2) Out of 12 clerks in an office, one getting a salary of Rs.350 was sacked and a new one was appointed. The average salary was now reduced by 5. Determine the salary paid to new clerk.
a. 370
b. 340
c. 310
d. 290
e. 285

Q3) The batting average for 40 innings of a cricketer is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of player?
a. 176
b. 175
c. 174
d. 173
e. 172

Q4) 40% of the employees of a certain company are men, and 75% of the men earned more than 25000/ per year. If 45% of the company's employees earned more than 25000/ per year, what fraction of the women employed by the company earned 25000/ per year or less? [CAT1999]
a. 1/4
b. 3/4
c. 1/3
d. 2/11
e. 8/11

Q5) Visitors to a show were charged Rs. 15.00 each on the first day, Rs. 7.50 on the second day, Rs. 2.50 on the third day and total attendance on the three days were in the ratio 2:5:13 respectively. The average charge per person for the whole show is
a. Rs 3.00
b. Rs 4.50
c. Rs 5.00
d. Rs 7.50
e. Rs 8.00

Q6) In a class there are three divisions. The number of students and the average marks in mathematics in the three divisions are 30, 40, 30 and 40%, 30% and 50% respectively. What are the average marks in mathematics of the class?
a. 39%
b. 40%
c. 41%
d. 49%
e. 51%

Q7) Five years ago average age of P and Q was 15 years. Average age of P, Q and R today is 21 years. How old R will be after 10 years.
a. 31
b. 32
c. 33
d. 34
e. 35

Q8 ) Shweta took a loan of Rs.24000 for purchasing a TV. After two years, she paid it off by Rs.27840. Find the rate of simple interest.
a. 12%
b. 8%
c. 10%
d. 15%
e. 6%

Q9) There are two equal capacity vessels full of milk solution with milk and water in the ratio 1:3 and 3:5 respectively. If both are mixed in the ratio 3:2, what would be the ratio of milk and water in the new mixture?
a. 3 : 10
b. 4 : 7
c. 3 : 7
d. 9 : 19
e. None of these

Q10) Ram prepares solutions of alcohol in water according to customers' needs. This morning Ram has prepared 27 liters of a 12% alcohol solution and kept it ready in a 27 liter delivery container to be shipped to the customer. Just before delivery, he finds that the customer had asked for 27 liters of 21% alcohol solution. To prepare what the customer wants, Ram replaces a portion of 12% solution by 39% solution. How many liters of 12% solution is replaced? [XAT2012]
a. 5
b. 9
c. 10
d. 12
e. 15

Q11) A man borrows Rs.6000 at 5% interest, on reducing balance, at the start of the year. If he repays Rs.1200 at the end of each year, find the amount of loan outstanding at the beginning of third year. [XAT2012]
a. 3162.75
b. 4145.00
c. 4155.00
d. 5100.00
e. 5355.00

Q12) After allowing a discount of 11.11%, a trader still makes a gain of 14.28%. At how many percent above the cost price does he mark his goods? [CAT1997]
a. 28.56%
b. 35%
c. 22.22%
d. None of these

Q13) A man invests Rs 3000 at a rate of 5% per annum. How much more should he invest at a rate of 8% per annum, so that he can earn a total of 6% per annum? [CAT1995]
a. 1200
b. 1300
c. 1500
d. 2000

Q14) Last year Mr. Basu bought two scooters. This year he sold both of them for Rs.30,000 each. On one, he earned 20% profit, and on other he made a loss of 20%. What was his net profit or loss? [XAT2005]
a. He gained less than 2000
b. He gained more than 2000
c. He lost less than 2000
d. He lost more than 2000

Q15) What sum of money lent out at compound interest will amount to Rs.968 in 2 years at 10% p.a. Interest being charged annually.
a. 850
b. 900
c. 800
d. 950
e. 750

Q16) Compound interest on a certain sum of money is Rs.300 for third year and Rs. 363 for fifth year. What is the rate of compound interest being charged annually?
a. 8%
b. 9%
c. 10%
d. 11%
e. data insufficient

Q17) A merchant professes to lose 4% on tea but uses a weight equal to 840gm instead of 1kg. Find his real loss or gain%.
a. Profit 14(2/7)%
b. Profit 18(4/7)%
c. Profit 19(3/7)%
d. No profit No loss

Q18) A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12.5% of the resulting mixture?
a. 1liter
b. 2 liter
c. 2.5 liter
d. 3 liter
e. 4 liter

Q19) A certain sum of money becomes 4 times of itself in 10 years at certain rate of simple interest. In how many year, the same sum of money will become 16 times of itself, if deposited today at same rate of simple interest?
a. 16
b. 20
c. 24
d. 25