mathewhe/aqua_rat huggingface dataset:
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration of the acid in the mixture?
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1/6
(E) 1/5
Rationale: 150 ml solution contains 45 ml sulphuric acid
400 ml solution contains 48 ml sulphuric acid
Adding
550 ml solution contains 93 ml sulphuric acid
93/550≈90/540=1/6
Answer is D
Answer: (D) 1/6
Question: On a sum of money, the S.I. for 2 years is $660, while the C.I. is $693, the rate of interest being the same in both the cases. The rate of interest is?
(A) 10%
(B) 32%
(C) 72%
(D) 14%
(E) 82%
Rationale: Difference in C.I. and S.I for 2 years = $693 - $660 = $33
S.I for one year = $330
S.I. on $330 for 1 year = $33
Rate = (100 * 33)/(330) = 10%
The answer is A.
Answer: (A) 10%
Question: Two cubes of their volumes in the ratio 8 : 125. The ratio of their surface area is:
(A) 1.5:5
(B) 2:5
(C) 3:5
(D) 1:5
(E) 4:5
Rationale: The ratio of their surface area is
8 : 125
2 : 5
Answer is B.
Answer: (B) 2:5
Question: The compounded ratio of (2:3), (6:11) and (11:2) is
(A) 2 : 1
(B) 1 : 2
(C) 36 : 121
(D) 11 : 24
(E) None
Rationale: Sol.
Required ratio = [2/3 x 6/11 x 11/2] = 2/1
= 2 : 1.
Answer A
Answer: (A) 2 : 1
Question: When Jessica withdrew $200 from her bank account, her account balance decreased by 2/5. If she deposits an amount equal to 1/5 of the remaining balance, what will be the final balance in her bank account?
(A) 300
(B) 360
(C) 400
(D) 500
(E) 575
Rationale: As per the question 200=2a/5
thus- a which is the total amount =500
The amount thus left =300
She then deposited 1/5 of 300=60
total amount in her account =360
Answer B
Answer: (B) 360
Question: If each year the population of the country grows by 20%, how many years will elapse before the population of the country doubles?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Till Year 2000, population is 100 .
Year 2001: Population becomes 120 ............. 1 Year elapsed
Year 2002: Population becomes 144 ............. 2 Year elapsed
Year 2003: Population becomes 172 ............. 3 Year elapsed
Year 2004: Population > 200 .................. 4 year elapsed
Answer:B
Answer: (B) 4
Question: A man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road. He takes 12 hours to ride motorcycle uphill from lower point A to upper point B and back to A. What is the total distance traveled by him in 12 hours? He must return back to base point A in remaining time.
(A) 1000
(B) 900
(C) 800
(D) 400
(E) 1200
Rationale: Upward distance traveled per hour - 50 km,
distance traveled after 8 hours = 400 km.
He remained with 4 hours travel downward, i.e. distance traveled in remaining 4 hours downward = 400 km
so total distance traveled from A to B and Back to point A = 400 km upward + 400 km downhill = 800 km
(Answer : C)
Answer: (C) 800
Question: A coin is tossed live times. What is the probability that there is at the least one tail?
A. 31/32 B. 1/16
(A) 31/32
(B) 31/89
(C) 31/25
(D) 31/17
(E) 31/13
Rationale: Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: A
Answer: (A) 31/32
Question: A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r. What is the greatest two digit prime saturated integer ?
(A) 99
(B) 98
(C) 97
(D) 96
(E) 95
Rationale: Clearly D A number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r.
96 has more number of smaller prime factor thats the clue !!=D
Answer: (D) 96
Question: the average distance between the sun and a certain planet is approximatly 2.1 10^15 inches. which of the following is the closest to the average distence between sun and the planet in kelometers? (1 km is approx 3.9 x 10^4 inches)
(A) 6.4 x(10)^10
(B) 5.4 x(10)^10
(C) 7.4 x(10)^10
(D) 2.4 x(10)^10
(E) 3.4 x(10)^10
Rationale: No need to solve entire problem.
Distance in KM = 21*(10)^15/39*(10)^4 which is -210*(10)^14/39*(10)^4 = 5.4 x(10)^10
Answer : B
Answer: (B) 5.4 x(10)^10
Question: 597**6 is divisible by both 3 and 11. The non-zero digits in the Hundred’s and ten’s places are respectively:
(A) 3 and 6
(B) 7 and 9
(C) 2 and 6
(D) 4 and 7
(E) None
Rationale: Solution : Let the given number be 597xy6.
Then (5+9+7+x+y+6)=(27+x+y) must be divisible by 3
And, (6+x+9)-(y+7+5)=(x-y+3) must be either 0 or divisible by 11. x-y+3=0
=> y=x+3 27+x+y)
=>(27+x+x+3)
=>(30+2x)
=> x = 3 and y = 6.
Answer A
Answer: (A) 3 and 6
Question: Andy solves problems 78 to 125 inclusive in a Math exercise. How many problems does he solve?
(A) 53
(B) 52
(C) 51
(D) 50
(E) 48
Rationale: 125-78+1= 48
'E' is the answer
Answer: (E) 48
Question: A rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
(A)  $200
(B)  $240
(C)  $480
(D)  $960
(E)  $144
Rationale: The width of the rectangular floor(6 m) is a multiple of one side of the square(2 m), and the length of the floor(8 m) is also a multiple of the side of the square. So the number of carpets to cover the floor is (6/2)*(8/2)=12.
The total cost is 12*12=$144
The answer is, therefore, E.
Answer: (E)  $144
Question: If two numbers are in the ratio 2:3 and the numerator and denominator are added and subtracted by1 and 2 respectively, then the ratio becomes 6:2, then find the smallest number?
(A) 2
(B) 1
(C) 3
(D) 4
(E) 6
Rationale: 2:3
2x + 1 : 3x - 2 = 3 : 1
[2x + 1] = 3[3x - 2]
2x + 1= 9x -6
9x - 2x = 7
x = 1
Then smallest number is = 2x
2x = 2
A
Answer: (A) 2
Question: For which of the following does y(a)−y(b)=y(a−b) for all values of a and b?
(A) y(x)=x^2
(B) y(x)=x/2
(C) y(x)=x+5
(D) y(x)=2x−1
(E) y(x)=|x|
Rationale: To solve this easiest way is just put the value and see that if it equals or not.
with option 1. y(a) = a^2 and y(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. y(a) = a/2 and y(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S which is the correct answer.
answer:B
Answer: (B) y(x)=x/2
Question: Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 231 marks in the second test and failed by 48 marks in that test. Find the pass mark in the first test?
(A) 768
(B) 243
(C) 246
(D) 625
(E) 248
Rationale: Let the maximum mark in each test be M.
The candidate failed by 48 marks in the second test.
pass mark in the second test = 231 + 48 = 279
45/100 M = 279
Pass mark in the first test = 40/100 M = 40/45 * 279 = 248.
Answer:E
Answer: (E) 248
Question: A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
(A) 2: 5
(B) 2: 0
(C) 2: 2
(D) 2: 3
(E) 2: 9
Rationale: 80* 7: x* 3 = 1:1 1/2
560: 3x = 2: 3
x = 280.Answer: D
Answer: (D) 2: 3
Question: Fiind the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
(A) 5200
(B) 2882
(C) 5460
(D) 2342
(E) 2900
Rationale: 5000 * 104/100 * 105/100
=> 5460
Answer: C
Answer: (C) 5460
Question: If 102y = 25, then 10-y equals:
(A) -1/5
(B) 1/625
(C) 1/50
(D) 1/25
(E) 1/5
Rationale: 102y = 25
(10y)2 = 52
10y = 5
1/10y = 1/5
10-y = 1/5
Answer: E
)
Answer: (E) 1/5
Question: Salaries of Prasanna and Sathish are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sathish's present salary?
(A) Rs. 15000
(B) Rs. 18000
(C) Rs. 38000
(D) Rs. 43000
(E) None
Rationale: Sol.
Let the original salaries of Prasanna and Sathish be Rs. 2x and
Rs. 3x respectively. Then,
2x + 4000 / 3x + 4000 = 40/57
⇔ 57(2x + 4000) = 40(3x + 4000)
⇔ 6x = 68000
⇔ 3x = 34000.
Sathish's present salary = (3x + 4000) = (34000 + 4000) = Rs.38000.
Answer C
Answer: (C) Rs. 38000
Question: An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?
(A) 1
(B) 4
(C) 2/3
(D) 1/4
(E) 1/2
Rationale: Total numbers in a die=6
P(multiple of 3) = 2/6 = 1/3
P(multiple of 4) = 1/6
P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2
ANSWER:E
Answer: (E) 1/2
Question: A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet again at the starting point?
(A) 26 min 18 sec
(B) 42 min 36 sec
(C) 45 min
(D) 46 min 12 sec
(E) 46 min 15 sec
Rationale: L.C.M of 252, 308 and 198 = 2772
So, A, B and C will again meet at the starting point in 2772 sec, i.e., 46 min 12 sec.
ANSWER:D
Answer: (D) 46 min 12 sec
Question: The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.1045.What was his original salary?
(A) 1268
(B) 1000
(C) 1786
(D) 1778
(E) 2212
Rationale: X * (110/100) * (95/100) = 1045
X * (11/10) * (1/100) = 11
X = 1000
Answer: B
Answer: (B) 1000
Question: Mr. Hernandez, who was a resident of State X for only 8 months last year, had a taxable income of $22,500 for the year. If the state tax rate were 10 percent of the year’s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of Mr. Hernandez’s State X tax for last year?
(A)  $1500
(B)  $1720
(C)  $1600
(D)  $1300
(E)  $1160
Rationale: Total tax for the year = 22,500 x 10% = 2250
As stated Annual tax is prorated as per the duration of stay.
Prorated Tax = 900 (8/12) = 1500
Answer A
Answer: (A)  $1500
Question: The average of 11 results is 49, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
(A) 21
(B) 67
(C) 18
(D) 25
(E) 23
Rationale: 1 to 11 = 11 * 49 = 539
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 539 = 67
Answer:B
Answer: (B) 67
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is
(A) 1/25
(B) 1/27
(C) 1/28
(D) 1/22
(E) 1/24
Rationale: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.
Answer:A
Answer: (A) 1/25
Question: The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?
(A) 1: 8
(B) 4:9
(C) 1: 9
(D) 1: 3
(E) 1: 2
Rationale: r1: r2 = 2: 3
Πr12: Πr22
r12: r22 = 4: 9
Answer:B
Answer: (B) 4:9
Question: Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of c crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of c?
(A) x/2
(B) x
(C) 3x/2
(D) 2x
(E) 3x
Rationale: Lets do it by picking up numbers. Let Arthur carry 2 crumbs per trip, this means Amy carries 3 crumbs per trip. Also let Arthur make 2 trips and so Amy makes 4 trips.
Thus total crumbs carried by Arthur (c) = 2 x 2 = 4, total crumbs carried by Amy = 3 x 4 = 12. 12 is 3 times 4, so E
Answer: (E) 3x
Question: Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
(A) 15
(B) 14
(C) 10
(D) 8
(E) 9
Rationale: Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
Option C
Answer: (C) 10
Question: A car is running at a speed of 60kmph. What distance will it cover in 8sec?
(A) 100m
(B) 136m
(C) 180m
(D) 200m
(E) 250m
Rationale: Speed = 60kmph = 60*5/18 = 17 m/s
Distance covered in 8sec = 17*8 = 136m
Answer is B
Answer: (B) 136m
Question: A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $9.00?
(A)  40
(B)  60
(C)  90
(D)  120
(E)  108
Rationale: Cost price of 1 pound of bananas = 0.5/3 = 1/6
Selling price of 1 pound of bananas = 1/4
Profit per pound = (1/4 - 1/6) = (1/12)
Total profit is given as 9
(1/12)*x = 9
x = 108
Answer: E
Answer: (E)  108
Question: Look at this series: 32, 31, 33, 32, 34, 33, ... What number should come next?
(A) 38
(B) 32
(C) 35
(D) 36
(E) 31
Rationale: Here we alternatively subtracted 1 and added 2 then subtracted 1 and added 2 and so on..
The answer is option C (35)
Answer: (C) 35
Question: This year, MBB Consulting fired 8% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
(A) 98.5%
(B) 101.2%
(C) 102.8%
(D) 104.5%
(E) 105.0%
Rationale: 100 employees getting 1000$ avg, so total salary for 100 ppl = 100000
8% reduction in employees lead to 92 employees and a salary increase of 10% of previous avg salary
Thus the new avg salary is = 10%(1000)+1000 = 1100
so total salary of 92 employees is 92*1100 = 101200
Now the new salary is more than previous salary by x%. x = (101200/100000)*100 = 101.2%
So the Answer is B
Answer: (B) 101.2%
Question: If integers a and b are distinct factors of 30, which of the following CANNOT be a factor of 30?
I. a^b + b^2
II. (a + b)^2
III. a + b
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
Rationale: Factors of 30 are 1,2,3,6,5,10,15,30.
for options 1) & 3) consider a=2 and b=1 we find then 3 ,which is a factor
but for option 2) any values doesn't melts to any factor.
eg:-if we put a=3 and b=1 then (a+b)^2 =16 which is not a factor of 30
ANSWER:B
Answer: (B) II only
Question: Danny drove his old car 100 kilometers, from his home to a friend. To prevent the engine from overheating, he stopped his car for 10 minutes every time he completed 40 kilometers of continuous driving. When the car was moving, Danny drove it at an average speed of 60 kilometers per hour. What was Danny's average speed on that trip?
(A) 37.5 kilometers per hour
(B) 48 kilometers per hour
(C) 50 kilometers per hour
(D) 75 kilometers per hour
(E) 100 kilometers per hour
Rationale: Time taken to reach first 40 km is 40/60 = 2/3 hr
Time taken to reach next 40 km is 40/60 = 2/3 hr
Time taken to reach next 20 km is 20/60 = 1/3 hr
Danny stopped twice on his way at 40 km from starting point and at 80km from the starting point...
Each stop was of 10 min , so two 10min break = 2*1/6 => 1/3 hr
Total time taken to reach 100 km is (2/3 + 2/3 + 1/3+1/3 ) = 6/3 => 2 hrs
So, Average speed is 100/2 = 50km/hour
Answer will be (C) 50
Answer: (C) 50 kilometers per hour
Question: The ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by three chemists is 2: 15. The amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 :25 is
(A) 20 kg
(B) 6.625 kg
(C) 6.25 kg
(D) 6.35 kg
(E) 6.55 kg
Rationale: sodium chloride in 100 kg = 2/17 x 100 = 11.76 kg
ammonium in 100 kg = 15/17 x 100 = 88.23 kg
Now 88.23 is 25 parts out of (25 + 9) = 34 parts.
Hence 9 parts = 9/25 x 88.23= 31.76
Amount to be added = 31.76 - 11.76 =20 Kg
ANSWER:A
Answer: (A) 20 kg
Question: If c+5/d is a prime integer, which of the following must be true?
1.d=5c
2. d is a prime integer
3. c+5/d is ODD.
(A) None
(B) 1 only
(C) 2 only
(D) 1 and 2 only
(E) 2 and 3 only.
Rationale: I would pick up numbers and do .
i hope the question is (c+5)/d....
let c = 3 , d = 4
3+5/4 = 2 = Prime
1. d is not equal to 5c
2.d is not a prime number
3. (c+5)/y is not odd.
hence A
Answer: (A) None
Question: If 1400*xy=1050. Then what is the value of xy=?
(A) 1/5
(B) 2/5
(C) 3/4
(D) 3/7
(E) 4/7
Rationale: 1400 x xy = 1050 xy =	1050	=	3/4
1400
C
Answer: (C) 3/4
Question: Which of the following are divisible by both 2 and 3?
I. 234,124,429
II. 88,865,544,264
III. 5,555,554,673
(A) I​I only
(B) I and II​
(C) II and III
(D) II Only
(E) I​ and III
Rationale: III & I. is not divisible by 2 since the last digit is odd so we eliminate option C and E, we are left with option A, B and D
Among option I and II lets check the divisibility of 3
II. is divisible by 3 since sum of the digits is 60 , which is divisible by 3
Thus among the given options only (A) holds true.
Answer: A
Answer: (A) I​I only
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜COMPUTERâ€™, using each letter exactly once?
(A) 43232
(B) 40320
(C) 43332
(D) 89000
(E) 46780
Rationale: The word â€˜COMPUTERâ€™ contains 8 different letters.
Therefore, Required number of words= Number of arrangement of 8 letters, taken all at a time
=8P8
= 8!
= 8*7*6*5*4*3*2*1
= 40320
ANSWER:B
Answer: (B) 40320
Question: A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 5 feet . How many feet does the squirrel travels if the post is 25 feet tall and 3 feet in circumference?
(A) 10 feet
(B) 12 feet
(C) 13 feet
(D) 15 feet
(E) 18 feet
Rationale: total circuit=25/5=5
total feet squirrel travels=5*3=15 feet
ANSWER:D
Answer: (D) 15 feet
Question: 5 women can do a work in two days. 10 men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
(A) 1:2
(B) 1:5
(C) 2:3
(D) 3:2
(E) None of these
Rationale: Explanation:
(5 Ã— 2) women can complete the work in 1 day.
âˆ´ 1 woman's 1 day's work = 1/10
(10 Ã— 5) men can complete the work in 1 day.
âˆ´ 1 man's 1 day's work = 1/50
so, required ratio =1/10 : 1/50= 1:5
Answer: B
Answer: (B) 1:5
Question: The average of 25 results is 45. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
(A) 740
(B) 750
(C) 690
(D) 780
(E) 708
Rationale: Solution: Sum of 1st 12 results = 12*14
Sum of last 12 results = 12*17
13th result = x (let)
Now,
12*14+12*17+x = 25*45
Or, x = 708.
Answer: Option E
Answer: (E) 708
Question: There are 16 students in a class. On the day the test was given, Bob was absent. The other 15 students took the test and their average was 77. The next day, Bob took the test, and with this grade included, the new average was 78. What was Bob's grade on the test?
(A) 92
(B) 93
(C) 94
(D) 95
(E) 96
Rationale: 15*77+Bob's grade=16*78
Alice's grade is 16*78-15*77=93.
The answer is B.
Answer: (B) 93
Question: Subtracting 6% of A from A is equivalent to multiplying A by how much ?
(A) 0.94
(B) 9.4
(C) 0.094
(D) 94
(E) None
Rationale: Answer
Let A - 6% of A = AB.
⇒ (94 x A) / 100 = AB
∴ B = 0.94
Correct Option: A
Answer: (A) 0.94
Question: {3, 5, 8, x}
For the above mentioned Set, Mean of the set is equal to Range of the set then find out possible values of x
(A) 16/5, 28/3
(B) 4, 16/5
(C) 4, 16/5, 28/3
(D) 4, 28/3
(E) 3, 4, 5
Rationale: The set can have the following forms:
1. {3,5,8,x} , range = x-3 and mean = 4+x/4, x = 28/3
2. {3,5,x,8} , range = 5 and mean = 4+x/4, x=4
3. {3,x,5,8} , range = 5 and mean = 4+x/4, x=4
4. {x,3,5,8} , range = 8-x and mean = 4+x/4, x=16/5. But as x<3 (assumed here), x=3.2 can not be true. Hence reject this case.
Thus the possible values are 4 and 28/3.
D is the correct answer.
Answer: (D) 4, 28/3
Question: How many cubes will remain if the cubes having black and green coloured are removed ?
(A) 16
(B) 15
(C) 8
(D) 12
(E) 10
Rationale: Number of small cubes which are Black and Green is 8 in all.
Hence, the number of remaining cubes are = 24 - 8 = 16
ANSWER A
Answer: (A) 16
Question: The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to:
(A) –7
(B) 8
(C) 10
(D) 12
(E) 14
Rationale: x^2 - 4x + 6 = |x-4|
RHS can be -ve or +ve
x^2 - 5x + 10 = 0
x^2 - 3x + 2 = 0
x= 5,2,1
We test all 3 values in original equation, all ok.
Thus, Sum = 5 + 2 +1 = 8
Ans (B)
Answer: (B) 8
Question: Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 47.5km apart?
(A) 1 1/4 hours
(B) 2 1/3 hours
(C) 4hours
(D) 3 3/4 hours
(E) 6hours
Rationale: To be (18+20) km apart, they take 1 hour
To be 47.5 km apart, they take 1/38 * 47.5 = 1 1/4 hrs
Answer is A
Answer: (A) 1 1/4 hours
Question: A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $1,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
(A) $18,400
(B) $19,500
(C) $20,200
(D) $20,400
(E) $21,100
Rationale: Important point to notice- 2.5% decrease from the original price
2.5% of 22,000= 550
Total reduction in 6 years= 550*6= 3300
Final price= 22,000 +1500 - 3300= 20,200
C is the answer
Answer: (C) $20,200
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
(A) 6 hrs 21 minute
(B) 6 hrs 71 min
(C) 6 hrs 28 min
(D) 6 hrs 21 min
(E) 2 hrs 21 min
Rationale: Time taken to cover 600 km = 600/100 = 6 hrs.
Number of stoppages = 600/75 - 1 = 7
Total time of stoppages = 3 * 7 = 21 min
Hence, total time taken = 6 hrs 21 min.
Answer: A
Answer: (A) 6 hrs 21 minute
Question: A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
(A) 22
(B) 23
(C) 25
(D) 35
(E) 36
Rationale: Explanation:
Clearly, we have :
B-3 = E ...(i)
B + 3 = D ...(ii)
A+B = D + E+10 ...(iii)
B = C + 2 ...(iv)
A+B + C + D + E= 133 ...(v)
From (i) and (ii), we have : 2 B = D + E ...(vi)
From (iii) and (vi), we have : A = B + 10 ...(vii)
Using (iv), (vi) and (vii) in (v), we get:
(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.
Answer: C
Answer: (C) 25
Question: (X)+9088+1090-9156=19845. Calculate the value of X
(A) 11123
(B) 18153
(C) 11282
(D) 18825
(E) 18823
Rationale: (X)+9088+1090-9156=19845
=X+9088+1090=19845+9156
=x+10178=29001
=x=29001-10178
=18823
Answer is E
Answer: (E) 18823
Question: A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
(A) 388
(B) 240
(C) 88
(D) 66
(E) 221
Rationale: Speed = (54 * 5/18) m/sec = 15 m/sec. Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x meters. Then, (x + 300)/36 = 15 ==> x + 300 = 540 ==> x = 240 m.Answer:B
Answer: (B) 240
Question: Machine P and Machine Q are each used to manufacture 660 sprockets. It takes Machine P 10 hours longer to produce 660 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
(A) 5
(B) 15
(C) 55
(D) 95
(E) 6
Rationale: P makes x sprockets per hour.
Then Q makes 1.1x sprockets per hour.
660/x = 660/1.1x + 10
1.1(660) = 660 + 11x
11x = 66
x = 6
The answer is E.
Answer: (E) 6
Question: A pump can fill a tank with water in 2 hours. Because of a leak, it took 8/3 hours to fill the tank. The leak can drain all the water of the tank in?
(A) 6 hours
(B) 8 hours
(C) 9 hours
(D) 10 hours
(E) 12 hours
Rationale: The pump can fill the tank in 2 hour. But, because of the leak, it took 8/3 hours to fill the tank.
i.e., the additional water filled by the pump in 2/3 hour is emptied by the leak in 8/3 hours.
Therefore, the water filled by pump in 2 bour can be emptied by the leak in (8/3)*3=8 hours.
i.e., The leak can drain all the water of the tank in 8 hours.
ANSWER:B
Answer: (B) 8 hours
Question: What digit appears in the units place in the number obtained when 2^320 is multiplied out?
(A) 0
(B) 2
(C) 4
(D) 6
(E) 8
Rationale: 2^320=2^4K
put k=1
last digit of 2^4=16
last digit6
Answer=> D) 6
Answer: (D) 6