Quant Boosters  Kamal Lohia  Set 9

Number of Questions: 30
Topic: Quant Mixed Bag
Answer key available?: Yes
Source: Quant Masters Forum

Q1) 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 lossOA : a (Profit 14(2/7)%)

Q2) 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 literOA : b (2 liter)

Q3) 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. 25OA : b (20)

Q4) The owner of an art shop conducts his business in following manner, Every once a while he raises his prices by X% and then a while later he reduces all the new prices by X%. After one such updown cycle, the price of a painting decreased by Rs.441. After a second updown cycle the painting was sold for Rs. 1944.81. What was the original price of the painting? [CAT2001]
a. 2756.25
b. 2256.25
c. 2500
d. 2000OA : a (2756.25)

Q5) By how much percentage should a retailer mark up the good so that after giving a 20% discount he makes a profit of 44%?
a. 80%
b. 64%
c. 75%
d. 100%OA : a (80%)

Q6) The average age of students in a class is 21 years. 4 students with an average age of 23 leave the class and 3 students with average age of 19 years join the class. Due to this the average age of the students in the class becomes 20 years. What was the initial number of students in the class?
a. 32
b. 15
c. 18
d. 20OA : b (15)

Q7) Raman and Kiran invested in a business which made a profit of Rs. 24000 at the end of the year. Raman received Rs. 8000 as part of his profits. Raman invested the Rs. 40000 for the whole year. Kiran invested for two third of the year. What is the money invested by Kiran?
a. Rs. 120000
b. Rs. 80000
c. Rs. 180000
d. Rs. 60000OA : a (120000)

Q8) Fresh grapes contain 90% water while dry grapes contain 20% water. What is the weight of dry grapes obtained from 20kg of fresh grapes? [CAT1997]
a. 2kg
b. 2.5kg
c. 2.4kg
d. None of theseOA : b (2.5kg)

Q9) If Rs.7500 amounts to 8112 in 2 years compounded annually. Find the rate of interest per annum.
a. 6%
b. 5%
c. 4%
d. 3%
e. 75OA : c (4%)

Q10) 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 insufficientOA : c (10%)

Q11) Tickets numbered from 1 to 20 are mixed up together in a bowl and a ticket is drawn at random. What is the probability that the drawn ticket has a number which is a multiple of 3 or 7?
a. 1/5
b. 2/5
c. 1/7
d. 4/7

Q12) Big Bazaar was offering 90% off on its garments last year. But this year it is offering only 80% off. How much percent more one has to pay this year to buy same garments?

Q13) How many 3 digit base3 numbers are palindromes in decimal system? [A palindrome is a number which reads same forward as backward.]

Q14) Mary bought some cups from the market at 11 for 10 Dollars, and sold them immediately at 10 for 11 Dollars. Did she make a profit or loss in this transaction, and by what percentage?
a. Profit of 15%
b. Loss of 15%
c. Profit of 21%
d. Loss of 21%

Q15) In a quadrilateral ABCD, ABCD and AB : CD = 1 : 4. What is the area of the quadrilateral ABCD, if area of triangle BOC = 4 square units? [O is the intersection of AC and BD]

Q16) Greg went to his friend's birthday party. Nick, the birthday boy, was fond of mathematical puzzles. Nick handed Greg a small pot that contained a number of colored marbles, with equal numbers of each color. He then adde...d 20 marbles of a fresh color to the pot and declared that even though he did so, he has unaltered the probability of Greg drawing (without replacement) two marbles of the same color.
He then asked Greg to deduce the number of marbles in the pot after the extra marbles were added. If Greg got the answer correct, he would get a box of chocolates, else he would have to dance to a song chosen by Nick, as a forfeit. You need to help Greg solve the puzzle. Provide a detailed explanation along with your answer.
(Source: Test Funda)

Q17) A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If one face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
a) 900
b) 488
c) 563
d) 800

Q18) f(x) is a polynomial with integral coefficients such that f(2) = 99. What can't be the value of f(99)?
a. 2
b. 2
c. 196
d. 95

Q19) N gives a remainder 1 when divided by 16. How many different remainders can be obtained when N is divided by 12?