mathewhe/aqua_rat huggingface dataset:
Question: The average age of a husband and his wife was 23 years at the time of their marriage.After 5 years they have a one year old child.The average of the family is now?
(A) 18 years
(B) 23 years
(C) 29 years
(D) 26 years
(E) 19 years
Rationale: sum of the present age of husband, wife and child =(23*2+5*2)+1 = 57 years
required average = 57/3 = 19 years. Answer :E
Answer: (E) 19 years
Question: What would be the compound interest on Rs.7700/- at 15 ¼% per annum for 2 years compounded annually
(A) 2520.57/-
(B) 2522.50/-
(C) 2527.57/-
(D) 2532.57/-
(E) 2533.45/-
Rationale: Principal = Rs. 7700/-
time = 2 years
rate = 15 ¼%
Amount = P(1+R/100)n
= 7700 × (1 + 61/(4 × 100)2)
= 7700 × [(1 + 61/400)2]
= 7700 × [(461/400)2)]
= 7700 × 461/400 × 461/400
= 7700 × 1.1525 × 1.1525
= 7700 × 1.32825625
= 10227.573125
C.I = 10227.573125 - 7700 = 2527.57/-
C
Answer: (C) 2527.57/-
Question: Sixty percent of the rats included in an experiment were female rats. If some of the rats died during an experiment and 70 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?
(A) 7 : 2
(B) 7 : 3
(C) 2 : 7
(D) 3 : 7
(E) Cannot be determined from the information give
Rationale: Let x be the total number of rats in the experiment.
Male = 0.4x
Female = 0.6x
Let a be the total number of rats that died during experiment.
Male = 0.7a
Female =0.3a
Death rates
Male = 0.7a/0.4x
Female = 0.3a/0.6x
Ratio of death rates among males and females = 0.7a/0.4x*0.6x/0.3a
=0.7/0.2
=7/2
Ans = A
Answer: (A) 7 : 2
Question: If x is divisible by 7, 89, and 45, which of the following must be the least multiple of x?
(A) 28035
(B) 28060
(C) 28040
(D) 28045
(E) 20835
Rationale: If x is divisible by 7,89 and 45,then x must be a multiple of 7, 89 and 45.
Hence,the least multiple of x will be 7*89*45=28035.
ANSWER:A
Answer: (A) 28035
Question: If x is an integer, and 169 < x^2 <= 361, which of the following is the sum of all possible values of x?
(A)  135
(B)  124
(C)  None of the above
(D)  105
(E)  116
Rationale: The range of x is from 14 .. to 19 and -14 to -19 so the sum is 0 hence ans C, I guess, unless I am missing something!
Answer: (C)  None of the above
Question: In how many ways can 11 books on English and 9 books on French be placed in a row on a shelf so that two books on French may not be together?
(A) 220.
(B) 240
(C) 260
(D) 280
(E) 300
Rationale: We have 11 English and 9 French books, no French books should be adjacent.
Imagine 11 English books in a row and empty slots like below:
*E*E*E*E*E*E*E*E*E*E*E*
Now if 9 French books would be placed in 12 empty slots, all French books will be separated by English books.
So we can "choose" 9 empty slots from 12 available for French books, which is 12C9=220.	ANS:A
_________________
Answer: (A) 220.
Question: Dick and Jane each saved $5,000 in 1989. In 1990 Dick saved 10 percent more than in 1989, and together he and Jane saved a total of $10,000. Approximately what percent less did Jane save in 1990 than in 1989?
(A) 10%
(B) 15%
(C) 20%
(D) 25%
(E) 30%
Rationale: 1990
Dick saved = $ 5500
Jane saved = $ 4500 (jane saved $500 less than she did the prior year)
Jane saved approximately $500/5000$ (10%) less in 1990
Answer: A
Answer: (A) 10%
Question: A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
(A) 7580
(B) 12960
(C) 8290
(D) 8640
(E) None
Rationale: Solution
Work done by the inlet in 1 hour	= (1/9 - 1/12)
= 1/36
Work done by the inlet in 1 min.	= (1/36 × 1/60)
= 0.000463
Volume of 0.000463 part = 6 litres.
Therefore, Volume of whole	= 1/0.000463 x6
‹=› 12960 litres.
Answer B
Answer: (B) 12960
Question: 50% of a number is added to 120, the result is the same number. Find the number?
(A) 240
(B) 288
(C) 1687
(D) 997
(E) 121
Rationale: (50/100) * X + 120 = X
X = 240
Answer:A
Answer: (A) 240
Question: Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 90kmph, find the rate at which the train B runs.
(A) 40
(B) 60
(C) 135
(D) 80
(E) 100
Rationale: If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by:
Sa/Sb = √(b/a)
i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken.
Sa/Sb = √(4/9) = 2/3
This gives us that the ratio of the speed of A : speed of B as 2:3.
Since speed of A is 80 kmph, speed of B must be 80*(3/2) = 135 kmph
C
Answer: (C) 135
Question: A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
(A) 12028
(B) 12000
(C) 12019
(D) 12197
(E) 12012
Rationale: [1000 + (X-4000) * (2.5/100)] - X * (5/100)
= 600
X = 12000
Answer: B
Answer: (B) 12000
Question: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits can does Grace have available during her trip?
(A) 2,520
(B) 1,260
(C) 620
(D) 360
(E) 120
Rationale: the number of possibilities for each item of clothing with the different items. For the shirts you essentially choose 2 out of 8 so you should use the combination formula (don't know how to use math symbols here).
This gives you 5 x 3 x 28 x 3 = 1'260. Hence, solution B is correct.
Answer: (B) 1,260
Question: Which of the following is equal to 3.14 x 10(power 6) ?
(A) 31400.0
(B) 3140000
(C) 3140.0
(D) 314.0
(E) None of them
Rationale: = 3.14 x 10(power 6)
= 3.14 x 1000000
= 3140000.
Answer is B.
Answer: (B) 3140000
Question: A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
(A) 10
(B) 20
(C) 21
(D) 25
(E) 24
Rationale: Explanation:
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
Quantity of A in mixture left =(7x-7/12 x9)litres =(7x -21/4)litres .
Quantity of B in mixture left =(5x-5/12 x9)litres =(5x -15/4)litres .
(7x -21/4) / (5x -15/4) +9 = 7/9
28x - 21 /20x + 21 = 7/9
252x - 189 = 140x + 147
112x = 336
x = 3.
So, the can contained 21 litres of A.
ANSWER IS C
Answer: (C) 21
Question: The average age of father and his two sons is 22 Years. Five years ago, the average age of the two sons was 19 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
(A) 18
(B) 46
(C) 47
(D) 48
(E) 49
Rationale: The total present age of father and two sons is 3x22 = 66 yrs
The total present age of sons is (19+5) X 2 = 48Years
so, present age of father is 66 â€“ 48 = 18 yrs
Answer A
Answer: (A) 18
Question: If a boat goes 9km upstream in 108 minutes and the speed of the stream is 2 kmph, then the speed of the boat in still water is ?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Rationale: Rate upsteram =(9/108*60)kmph=5kmph.
speed of the stream =2kmph let speed in still water be xkm/hr. then speed upstream=(x-2)km/hr. x-2=5==>x=7km/hr Answer(C)
Answer: (C) 7
Question: What is the difference between the place value of 2 in the numeral 7229?
(A) 160
(B) 165
(C) 180
(D) 190
(E) 200
Rationale: Answer: Option 'C'
200 - 20 = 180
Answer: (C) 180
Question: A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets ?
(A) 33
(B) 39
(C) 50
(D) 29
(E) 28
Rationale: Explanation:
Number of runs made by running = 120 - (3*4 + 8*6)
= 120 - (60)
= 60
Required percentage = \inline (\frac{60}{120}\times 100) % = 50%
Answer: C) 50%
Answer: (C) 50
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
(A) 688
(B) 798
(C) 698
(D) 699
(E) 998
Rationale: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Answer:C
Answer: (C) 698
Question: Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations Q of classes are available?
(A) 3
(B) 6
(C) Q=7
(D) Q=9
(E) Q=12
Rationale: I think it should be E only.
No where it is given that he attends different classes on each day.
Experts please provide your views.
--- EDITED my Response. It was a typo. I meant 12 is the answer.
If only Day 1 : 3 options
If Day 1 and Day 2 : 3*3 = 9 Options
So, Total = 3+9= 12.
Answer: (D) Q=9
Question: If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
(A) 50
(B) 51.47
(C) 51.49
(D) 53
(E) 54.68
Rationale: Required average
= (55 x 50 + 60 x 55 + 45 x 60)/(55 + 60 + 45)
= (2750 + 3300 + 2700)/160
= 8750/160
= 54.68
Answer is E
Answer: (E) 54.68
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
(A) 22
(B) 17
(C) 66
(D) 13
(E) 57
Rationale: d2 = 122 + 42 + 32 = 13
Answer: D
Answer: (D) 13
Question: A certain car averages 30 miles per gallon when driving in the city and 35 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
(A) 34
(B) 30
(C) 33
(D) 36
(E) 38
Rationale: Answer A
No of Miles per Gallon = Total no of miles/Total no of Gallons
=10+50/(10/30+50/35) ~ 34.05
Answer: (A) 34
Question: What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
(A) 34
(B) 33
(C) 46
(D) 56
(E) 75
Rationale: (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .
Answer: (C) 46
Question: Everyone in the class was supposed to bring at least pencil with them to the exam. There are 30 people in the class. If 5 people brought 1 pencil, 18 brought 2, and 6 brought 3 or more, how many people forgot to bring a pencil?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: As the categories do not overlap, you can simply subtract the different category counts from the class total to get the answer: 20-5-18-6=1. The answer is B: 1.
Answer: (B) 1
Question: The number of diagonals of a polygon of n sides is given by the formula v=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?
(A)  3
(B)  5
(C)  6
(D)  7
(E)  8
Rationale: v=n(n-3)
v=2*n
2n=n(n-3)
=>2=n-3
=>n=5
Answer B
Answer: (B)  5
Question: 109 × 109 + 91 × 91 = ?
(A) 20162
(B) 18322
(C) 13032
(D) 18662
(E) None of these
Rationale: Explanation :
(a + b)2 + (a − b)2 = 2(a2 + b2)
(Reference : Basic Algebraic Formulas)
1092 + 912 = (100 + 9)2 + (100 − 9)2 = 2(1002 + 92) = 2(10000 + 81) = 20162. Answer : Option A
Answer: (A) 20162
Question: If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
(A) 100
(B) 120
(C) 140
(D) 150 miles
(E) 160
Rationale: Let v and t be initial parameter
vt=d
from the stem (t+1)(v+5)=70+d
=>v+5t=65-------1)
We need the additional distance traveled second time at v+10 and t+2
(t+2)(v+10)=vt+2v+10t+20
but vt=d
Hence d+2(v+5t)+20
But v+5t=65 hence the additional distance traveled is 2(v+5t)+20=2*65+20=130+20=150 D
Answer: (D) 150 miles
Question: Using all the letters of the word "MONDAY", how many different words can be formed?
(A) A)7
(B) B)8!
(C) C)8
(D) D)6!
(E) E)3
Rationale: Explanation:
Total number of letters = 6
Using these letters the number of 6 letters words formed is 6!.
Answer: Option D
Answer: (D) D)6!
Question: Five consecutive traffic signals each show either red or green. How many different arrangements of the five signals are possible?
(A) 40
(B) 32
(C) 28
(D) 17
(E) 6
Rationale: Since the answer choices to the question are so small (relatively speaking), you can get to the correct answer without having to do any fancy calculations. With a drawing and a bit of 'brute force', you can answer this question relatively quickly.
We're told that 5 consecutive traffic signals each show either red or green. We're asked how many different arrangements of the 5 signals are possible.
Total Options: 32
Final Answer:
B
Answer: (B) 32
Question: A student has to obtain 60% of the total marks to pass. He got 160 marks and failed by 20 marks. The maximum marks are?
(A) 210
(B) 280
(C) 300
(D) 320
(E) 340
Rationale: Let the maximum marks be x
Then, 60% of x = 160+20
60x/100 = 180
60x= 180*100= 18000
x = 300
Answer is C
Answer: (C) 300
Question: By selling an umbrella for Rs. 600, a shop keeper gains 700%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?
(A) 733.33
(B) 833.33
(C) 933.33
(D) 533.33
(E) 433.33
Rationale: Marked price = Rs. 600
C.P. = 100/800 * 600 = Rs. 75
Sale price = 90% of Rs. 600 = Rs. 540
Required gain % = 700/75 * 100 = 933.33%.
Answer:C
Answer: (C) 933.33
Question: The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,6), (8,0) and (8,6). If a line through (2,2) partitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
(A) 0
(B) 2/5
(C) 4/7
(D) 1/2
(E) 7/4
Rationale: CONCEPT: The readers need to know that a rectangle can be divided into two equal area by a Straight line only when the straight line passes through the Centre of the Rectangle (Intersection of its two diagonals)Draw a figure and know it for yourself.
The point of Intersections of the diagonals will be the midpoint of any diagonal i.e. Midpoint of (0,0), and (8,6) OR Midpoint of (0,6) and (8,0)
i.e. Either [(0+8)/2, (0+6)/2] OR [(0+8)/2, (6+0)/2] =[4,3]
Slope of line passing through points (2,2) and (4,3) = (3-2)/(4-2) = 1/2
D
Answer: (D) 1/2
Question: An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are possible?
(A) 74
(B) 100
(C) 162
(D) 198
(E) 202
Rationale: We have 3 scenarios here:
1) 1 tech2 businessmen: 4C1 x 5C2 = 40
2) 2 tech1 businessman: 4C2 x 5C1 = 30
3) 3 tech0 businessmen: 4C3 = 4
Total: 144+54+4 = 74
Answer: A
Answer: (A) 74
Question: Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is Y?
(A) 50+Y/200
(B) 50+3Y/100
(C) 50+Y/40
(D) 100+Y/50
(E) 100+3A/100
Rationale: 50+Y/40=C
Answer: (C) 50+Y/40
Question: The radius of a circle is increased by 1%. Find how much % does its area increases?
(A) 2.71%
(B) 2.81%
(C) 2.08%
(D) 2.01%
(E) 3.01%
Rationale: r = 100 r = 101
r2 = 10000 r2 = 10201
10000 ---- 201
100 ---- ? => 2.01%
Answer: D
Answer: (D) 2.01%
Question: If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Roe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 15 miles ahead of Roe?
(A) 15
(B) 60
(C) 75
(D) 90
(E) 105
Rationale: This type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30-40 seconds for a difficult one.
Teena covers 55 miles in 60 mins.
Roe covers 40 miles in 60 mins
So teena gains 15 miles every 60 mins
Teena need to cover 7.5 +15 miles.
Teena can cover 7.5 miles in 30 mins
Teena will cover 15 miles in 60 mins
So answer 30+60= 90 mins.D
Answer: (D) 90
Question: Sum of ages of two friends is 27 while difference is 3 then their ages are
(A) 20 years, 7 years
(B) 17 years, 15 years
(C) 17 years, 16 years
(D) 12 years, 15 years
(E) None
Rationale: 12,15
ANSWER:D
Answer: (D) 12 years, 15 years
Question: In a urban village of india named "owlna" , 70% people have refrigerator , 75% people have television , 65% people got computers and 95% got Air-conditionor. how many people(minimum) got all these luxury.
(A) 5%
(B) 7%
(C) 3%
(D) 9%
(E) 15%
Rationale: A
10%
100 - [ (100-65)+(100-95)+(100-75) +(100-70)]
=100-(30+25+35+5)
=100-95
Answer: (A) 5%
Question: If y is a positive number and 1/2 the square root of x is the cube root of y, then y=
(A) 64
(B) 32
(C) 16
(D) 4
(E) 1
Rationale: 1/2 the square root of x is cube root of y.
if y= 64..
then 1/2 the square root of y= 4 and cube of y is 64.
Option A.
Answer: (A) 64
Question: There are 5 locks and 5 keys and each of the 5 keys matches each of the 5 locks. What is the minimum and the maximum trial numbers of attempts Y needed to confirm that each of the 5 keys matches each of the 5 locks?
(A) 5,15
(B) 4,15
(C) 5,10
(D) 4,10
(E) 5,20
Rationale: Assume you have locks 1-5 and keys A-E.
Minimum: assume you are lucky to find the correct key/combo on the first try. So, 1 -> A, 2 -> B, 3 ->C, and 4 -> D, then 5 must match with E. Therefore, you only need to try 4 combos at a minimum.
Maximum: assume that it takes as many guesses as possible. So, with the first key you try A, B, C, and D with no success, therefore E must be the match (so 4 attempts). For key 2 you no longer have E available so you try A, B, and C, with no success, therefore D must be the match (3 attempts). And so on for key 3 (2 attempts) and key 4 (1 attempt). Key 5 matches with the remaining lock for a total of Y= 4 + 3 + 2 + 1 = 10 attempts.D
Answer: (D) 4,10
Question: Find the area of trapezium whose parallel sides are 28 cm and 18 cm long, and the distance between them is 15 cm.
(A) 227
(B) 299
(C) 345
(D) 161
(E) 212
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (28 + 18) * (15)
= 345 cm2
Answer: C
Answer: (C) 345
Question: A number x is 5 times another number y. The percentage that y is less than x is
(A) 12.5%
(B) 87.5%
(C) 80%
(D) 11%
(E) 1%
Rationale: Say y=1 and x=5.
Then y=1 is less than x=5 by (5-1)/5*100=4/5*100=80%.
Answer: C.
Answer: (C) 80%
Question: A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary?
(A) 2777
(B) 1500
(C) 2789
(D) 2776
(E) 2881
Rationale: (5/100) A = (15/100) B
A = 3B
A + B = 2000
4B = 2000 => B = 500
A = 1500
AnswerD
Answer: (D) 2776
Question: In an electric circuit, two resistors with resistances 3ohm and 5 ohm are connected in parallel. In this case, if R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of two resistors. What is the value?
(A) 15 ohms
(B) 15/8 ohms
(C) 1/8 ohms
(D) 8/15 ohms
(E) 8 ohms
Rationale: The wording is a bit confusing, though basically we are told that 1/R = 1/3 + 1/5, from which it follows that R=15/8ohms.
Answer: B.
Answer: (B) 15/8 ohms
Question: A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 40% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 6 hours?
(A) 18%
(B) 20%
(C) 22%
(D) 24%
(E) 26%
Rationale: The number of gallons in the tank is (1/4)24 = 6 gallons
The amount of sodium chloride is 0.4(6) = 2.4 gallons
At the start, the amount of water is 0.6(6) = 3.6 gallons
After 6 hours, the amount of water is 3.6 - 0.5(6) = 0.6 gallons
The concentration of water is 0.6 / (2.4+0.6) = 2/10 = 20%
The answer is B.
Answer: (B) 20%
Question: Think of a number, divide it by 5 and add 6 to it. The result is 65. What is the number thought of?
(A) 24
(B) 77
(C) 295
(D) 267
(E) 29
Rationale: Explanation :
65-6 = 59
59 x 5 = 295
Answer : C
Answer: (C) 295
Question: The true discount on a bill of Rs. 2660 is Rs. 360. What is the banker's discount?
(A) Rs. 432
(B) Rs. 422
(C) Rs. 416
(D) Rs. 442
(E) None of these
Rationale: Explanation :
F = Rs. 2660
TD = Rs. 360
PW = F - TD = 2660 - 360 = Rs. 2300
True Discount is the Simple Interest on the present value for unexpired time
=>Simple Interest on Rs. 2300 for unexpired time = Rs. 360
Banker's Discount is the Simple Interest on the face value of the bill for unexpired time
= Simple Interest on Rs. 2160 for unexpired time
=360/2300 × 2660 = 0.16 × 2660 = Rs. 416 Answer : Option C
Answer: (C) Rs. 416
Question: How long will it take for a sum of money to grow from Rs.3000 to Rs.18,000, if it is invested at 5% p.a simple interest?
(A) 8 years
(B) 64 years
(C) 100 years
(D) 56 years
(E) None
Rationale: In this case, Rs. 3000 has become Rs.18,000.
Therefore, the interest earned = 18,000 – 3000 =15000
Interest for Rs 3000 @ 5% for 1 year = 150
150 - 1
15000 - ? => 100 years
Answer : C
Answer: (C) 100 years
Question: What number has a 1:20 ratio to the number 10?
(A) 10
(B) 1/2
(C) 2
(D) 1/4
(E) 20
Rationale: 1:20 = x: 10
20x = 10; x=10/20
x=1/2
ANSWER:B
Answer: (B) 1/2
Question: A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.
(A) $100000
(B) $200000
(C) $140000
(D) $180000
(E) $250000
Rationale: The expenditure incurred on each item is expressed as part of the total amount (salary), so it is an independent activity.
In general for independent activities
[1 – (x1/y1 + x2/y2 + x3/y3)] × Total amount = Balance amount
[1 – (1/5 + 1/10 + 3/5)] × Total salary = $18000
[1 – 9/10] × Total salary = $18000
Therefore total salary = $18000 × 10 = $180000
Answer: (D) $180000
Question: Find the greatest common factor (GFC) of 24, 40 and 60.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: We first write the prime factorization of each given number
24 = 2 × 2 × 2 × 3 = 23*Cubic* × 3
40 = 2 × 2 × 2 × 5 = 23*Cubic* × 5
60 = 2 × 2 × 3 × 5 = 22*square* × 3 × 5
GFC = 22*square* = 4
corect answer is D) 4
Answer: (D) 4
Question: If pq = p^3 + q^2 – 2pq, for what value of q is pq equal to p^3 for all values of p?
(A) -2
(B) -1
(C) 0
(D) 1
(E) 2
Rationale: C
p3 + q2 â€“ 2pq = p3
=> q2 - 2pq = 0
=> q (q - 2p) = 0
=> q = 0 or q = 2p
im not following the logic you used here.. how did you replace pq with 0 could someone help explain it in MORE DETAI
C
Answer: (C) 0
Question: The area of a parallelogram is 128sq m and its altitude is twice the corresponding base. Then the length of the base is?
(A) 8
(B) 9
(C) 7
(D) 62
(E) 2
Rationale: 2x * x = 128 => x= 8
Answer: A
Answer: (A) 8
Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 630?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Rationale: 630 = 2*222 + (22*8) + 2*5
K weight of 600 = 2 +8+2 = 12
AnswerC
Answer: (C) 12
Question: When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [6]*[4] = ?
(A) [12]
(B) [44]
(C) [45]
(D) [88]
(E) [90]
Rationale: [6]*[4]=(6/2+1)(4/2+1)
=[12].
Ans-A
Answer: (A) [12]