mathewhe/aqua_rat huggingface dataset:
Question: In a shop 90% of the articles are sold at a profit of 20% and the remaining at a loss of 40%.what is the overall profit/loss?
(A) 14% profit
(B) 10% loss
(C) 18% profit
(D) 7% loss
(E) 2% Profit
Rationale: 90*1.05+10*0.6/100=1.14
ANSWER:A
Answer: (A) 14% profit
Question: The sum of the first 50 positive even integers is 2550. What is the sum W of even integers from 102 to 200 inclusive?
(A) 5100
(B) 7550
(C) 10100
(D) 15500
(E) 20100
Rationale: My solution is:
First 50 even integers:
2
4
6
8
<...>
Integers from 102 to 200
102
104
106
108
<...>
We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:
W=2550+(100*50)=7550.B
Answer: (B) 7550
Question: The inner circumference of a circular race track, 25 m wide, is 880 m. Find radius of the outer circle?
(A) 165m
(B) 120m
(C) 100m
(D) 190m
(E) 220m
Rationale: Let inner radius be r metres. Then, 2Πr = 880 ⇔ r = (880 x (7/44))= 140 m.
Radius of outer circle = (140 + 25) m = 165 m.
hence A
Answer: (A) 165m
Question: To a sugar solution of 3 liters containing 40% sugar, one liter of water is added. The percentage of sugar in the new solution is?
(A) 20%
(B) 30%
(C) 25%
(D) 15%
(E) 50%
Rationale: Quantity of sugar = 40*3/100 = 1.2kg
New percentage = 1.2/4 * 100 = 30%
Answer is B
Answer: (B) 30%
Question: A can do a certain job in 10 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
(A) 7 1/2 days
(B) 8 days
(C) 6 1/4 days
(D) 9 days
(E) None of them
Rationale: Ratio of times taken by A and B = 160 : 100 = 8 : 5.
Suppose B alone takes x days to do the job.
Then, 8 : 5 :: 10 : x = 8x = 5 x 10 =x = 6 1/4 days.
Answer is C.
Answer: (C) 6 1/4 days
Question: A scientist has 400 units of a 6% phosphoric acid solution, and an unlimited supply of 12% phosphoric acid solution. How many units of the latter must she add to the former to produce a 10% phosphoric acid solution?
(A) 200
(B) 400
(C) 500
(D) 600
(E) 800
Rationale: With mixture problems I usually take following approach
10%=Total mix of acid/Total amount of mixture.
With X= amount of 12% acidic solution we have:
10%=(400*0.06+.12*X)/400+X)
40+0.1X=24+0.12X
16=0.002X
X=800
Answer E
Answer: (E) 800
Question: If a2 + b2 + c2 = 941 and ab + bc + ca = 10, then a + b + c is
(A) 44
(B) 56
(C) 16
(D) 32
(E) 31
Rationale: by formula ,
(a + b + c)^2= a^2 + b^2 + c^2 + 2(ab + bc + ca),
since, a^2 + b^2 + c^2 = 941 and ab + bc + ca = 10,
(a + b + c)^2 = 941 + 2(10)
= 961
=31^2
therefore: a + b + c = 31
ANSWER:E
Answer: (E) 31
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
(A) 144 min
(B) 145 min
(C) 150 min
(D) 200 min
(E) 250 min
Rationale: slower pipe alone fill the tank = x
faster pipe will fill in x/3 min
1/x+3/x=1/36
x=144 min
ANSWER A
Answer: (A) 144 min
Question: A machine that produces silicon bottle stoppers, makes 36 stoppers weighing 6y grams each, and 9x stoppers weighing 12 grams each. What is the average weight (arithmetic mean) per stopper?
(A) (36y + 18x)/(y + 2)
(B) (18y + 9x)/4
(C) (36x)/(2y + 3x)
(D) (24y + 12x)/(4 + x)
(E) 6 + 3y
Rationale: The total number silicon stoppers weighing 6y grams is 36 and 12 grams is 9x
Average weight = (36*6y + 9x*12)/36+9x
= (9(24x + 12y))/(9(4+x))
= 24x+12y/4+x
(Option D)
Answer: (D) (24y + 12x)/(4 + x)
Question: An empty fuel tank to a car was filled with A type of petrol. When the tank was half empty, it was filled with B type of petrol. Again when the tank was half empty, it was filled with A type of petrol. When the tank was half empty again,it was filled with B type of petrol. At this time, what was the percentage of A type of petrol in the tank?
(A) 50%
(B) 40%
(C) 33.5%
(D) 37.5%
(E) None of these
Rationale: Now, amount of petrol A = A⁄4 + A⁄8 = 3A⁄8
∴ required% = 3A⁄ (8 × A) × 100 = 37.50%
Answer D
Answer: (D) 37.5%
Question: A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
(A) 228 Sec
(B) 190 Sec
(C) 167 Sec
(D) 767 Sec
(E) 328 Sec
Rationale: L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer:B
Answer: (B) 190 Sec
Question: In Net's hair salon 40% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?
(A) 5%
(B) 7%
(C) 12%
(D) 15%
(E) 21%
Rationale: Let a total of 100 people visit the salon.
Total = 100
Dye hair blonde (A) = 40 % = 40
Dye Eyebrows blonde (B) = 36% = 36
Straighten Hair (C) = 35% = 35
Neither = 20% = 20
All Three = 12% =12
Total = A+B+C - (Sum of Exactly Two group overlaps) - 2*(All three) + Neither
100 = 40+36+35 - (Sum of Exactly Two group overlaps) - 2*12 + 20
(Sum of Exactly Two group overlaps) = 9
%of customers coming for exactly 2 of the 3 procedures =7%
B
Answer: (B) 7%
Question: The greatest possible length which can be used to measure exactly the length 5m ,2m 19cm, 4m 20 cm is?
(A) 25cm
(B) 1cm
(C) 56cm
(D) 42cm
(E) 35cm
Rationale: Required length = H.C.F of 500cm, 219cm, 420cm = 1cm
Answer is B
Answer: (B) 1cm
Question: If x/4 years ago Roger was 14 years old and x/4 years from now he will be 4x years old, how old will he be 6x years from now?
(A) 32
(B) 39
(C) 30
(D) 40
(E) 28
Rationale: Assume the current age = a
a - x/4 = 14 (i)
a + x/4 = 4x
Or a = 15x/4 (ii)
Putting the value of a from (ii) in (i)
15x/4 - x/4 = 14
Or 14x/4 = 14 Therefore x = 4 and a = 15
6x years from now, age will be 15 + 6*4 = 39
Option B
Answer: (B) 39
Question: There are 5 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
(A) 90
(B) 120
(C) 150
(D) 180
(E) 200
Rationale: Number of ways of selecting 2 fiction books = 5C2
Number of ways of selecting 2 non fiction books = 6C2
5C2 * 6C2 = 10 * 15 = 150
Answer: C
Answer: (C) 150
Question: The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
(A) 276
(B) 299
(C) 322
(D) 345
(E) 258
Rationale: Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.
Answer: Option C
Answer: (C) 322
Question: The length, breadth and height of a room are in ratio 3:2:1. If breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
(A) remain the same
(B) decrease by 13.64%
(C) decrease by 15%
(D) decrease by 18.75%
(E) decrease by 30%
Rationale: Solution: Let length, breadth and height of the room be 3, 2, 1 unit respectively.
Area of walls = 2(l+b)*h = 2(3+2)*1 = 10 sq. unit.
Now, length, breadth and height of room will become 6, 1 and 1/2 respectively.
Now, area of walls = 2(6+1)*1/2 = 7 sq. unit.
% decrease in the area of walls = (10-7)*100/10 = 30%.
Answer: Option E
Answer: (E) decrease by 30%
Question: Lisa is 10 yaers older than Joey. If the sum of their age is 40 , what is the age of Joey?
(A) 15 years
(B) 25 years
(C) 10 years
(D) 20 yaers
(E) 5 years
Rationale: Let Joey's age be x.
x + x + 10 = 40
x = 15
Hence Joey's age is 15 years
Answer : A
Answer: (A) 15 years
Question: Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
(A) 3 days
(B) 6 days
(C) 8 days
(D) 4 days
(E) 9 days
Rationale: 12/ (2 * 2) = 3 days
Answer:A
Answer: (A) 3 days
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
(A) 169
(B) 175
(C) 544
(D) 166
(E) 121
Rationale: RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
125
--------
175 m
Answer:B
Answer: (B) 175
Question: Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 5/8 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 56 workers in the Palabras bookstore, how many of them have read both books?
(A) 13
(B) 12
(C) 9
(D) 8
(E) 17
Rationale: There are total 56 workers.
Half of the workers in Palabras bookstore have read the latest book by J. Saramago,
So 28 have read Saramago.
5/8 of the workers have read the latest book by H. Kureishi.
So (5/8) * 56 = 35 have read Kureishi
The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book
If B workers have read both books, 20 - B have read Saramago but not Kureishi.
So, (28 - B - 1) have read neither.
Total = n(A) + n(B) - Both + Neither
56 = 28 + 35 - B + (28 - B - 1)
B = 17
Answer (E)
Answer: (E) 17
Question: In the rectangular coordinate system, points (5, 0) and (– 5, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
(A) 2
(B) 4
(C) 8
(D) 16
(E) None of the above
Rationale: The answer is B
It takes 3 distinct points to define a circle. Only 2 are given here.
The two points essentially identify a single chord of the circle C. Since no other information is provided, however, the radius of the circle can essentially be anything. All this information tell us is that the radius isgreater 5 B
Answer: (B) 4
Question: What decimal of an hour is a second ?
(A) 0.00027
(B) 0.00025
(C) 0.00026
(D) 0.00024
(E) None of these
Rationale: Explanation :
1 hour = 60 minutes = 3600 seconds
Hence, required decimal = 1/3600 = 0.00027. Answer : Option A
Answer: (A) 0.00027
Question: Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 40% and 60% savings. Assuming that they operate independently, what is the net saving achieved?
(A) 56%
(B) 64%
(C) 62.2%
(D) 83.2%
(E) 61%
Rationale: If initial cost is Rs 100, then
Final cost will be 100*0.7*0.6*0.4 = Rs. 16.8
savings = 100-16.8=83.2
so 83.2%
ANSWER:D
Answer: (D) 83.2%
Question: How many three letter words are formed using the letters of the word MOUSE?
(A) 120
(B) 125
(C) 130
(D) 150
(E) 91
Rationale: Explanation:
The number of letters in the given word is five.
The number of three letter words that can be formed using these five letters is Ã¢Â´PÃ¢â€šÆ’ = 5*4 * 3 = 120.
Answer: A
Answer: (A) 120
Question: Find the number of square tiles to cover the floor of a room measuring 3.75 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
(A) 478
(B) 376
(C) 442
(D) 471
(E) 445
Rationale: 3 1/4 * 8 1/2 = 1/4 * 1/4 * x => x
= 442
Answer:C
Answer: (C) 442
Question: A school has 4 section of Chemistry in Class X having 50, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
(A) 50.12
(B) 52.12
(C) 51.12
(D) 53.12
(E) None of the above
Rationale: Required average marks
= 50Ã—50+35Ã—60+45Ã—55+42Ã—45/50+35+45+42
= 2500+2100+2475+1890/172
= 8965â„172 = 52.12
Answer B
Answer: (B) 52.12
Question: What percent of the different arrangements of the letters of the word AKACUL are those in which the vowels appear together?
(A) 50%
(B) 40%
(C) 30%
(D) 25%
(E) 20%
Rationale: let's determine the number of total possibilities in arranging the letters. There are six spaces, so the total number of arrangements is 6!, or 360.
Next, we need to figure out how to determine the number of ways that we can arrange the 3 vowels together - simply place them together (as in AAU) and call that a single place.
Next, we must determine the number of ways to arrange the now 4 units (i.e., AAU, B, C, S). Like above, there are 4 units and 4 places so the number of arrangements is 4!, or 24.
Finally, we need to account for the number of ways we can arrange AAU. We can either write out each unique iteration (AAU, AUA and UAA) or calculate as 3!/2! and get 3.
Putting this all together, we get the number of ways to arrange the letters so that the vowels are together is 4! x 3 ==> 72
the number of total arrangements of all the letters is 6! ==> 360
72/360 = 1/5, or 20%
Correct answer is E
Answer: (E) 20%
Question: The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 21,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China?
(A) 5,476,811 kilometers squared
(B) 11,500,148 kilometers squared
(C) 9,843,123 kilometers squared
(D) 1,878,965 kilometers squared
(E) 4,787,900 kilometers squared
Rationale: he difference between the areas of Russia and China is given by
21,098,242 - 9,598,094 = 11,500,148 kilometers squared
correct answer B
Answer: (B) 11,500,148 kilometers squared
Question: A car travels uphill at 30 km/hr and downhill at 60 km/hr. It goes 100 km uphill and 50 km downhill. Find the average speed of the car?
(A) 32kmph
(B) 33kmph
(C) 34kmph
(D) 35kmph
(E) 36kmph
Rationale: avg speed=total distance/total time.
total distance traveled=100+50=150km;
time taken for uphill journey=100/30=10/3;
time taken for down hill journey=50/60=5/6;
avg speed=150/(10/3+5/6)=36kmph
ANSWER:E
Answer: (E) 36kmph
Question: A shopkeeper sold an article for Rs 2564.36. Approximately what was his profit percent if the cost price of the article was Rs 2200
(A) 17%
(B) 5%
(C) 6%
(D) 7%
(E) 8%
Rationale: Explanation:
Gain % = (364.36*100/2200) = 16.56 % = 17% approx
Option A
Answer: (A) 17%
Question: Albert is 2 times Mary’s age and 4 times as old as Betty. Mary is 8 years younger than Albert. How old is Betty?
(A) 4
(B) 6
(C) 10
(D) 16
(E) 18
Rationale: A = 2M = M+8
M = 8
A = 16
A = 4B, and so B = 4
The answer is A.
Answer: (A) 4
Question: A man on tour travels first 150 km at 50 km/hr and the next 140 km at 70 km/hr. Find the average speed for first 290 km of tour.
(A) 54.11 km/hr
(B) 56.11 km/hr
(C) 58 km/hr
(D) 60.11 km/hr
(E) None of these
Rationale: Explanation:
We know Time = Distance/speed
So total time taken =
(150/50+140/70)=5hours
Time taken for 290 Km = 290/5=58km/hr
Option C
Answer: (C) 58 km/hr
Question: Use distributive property to solve the problem below:
Maria bought 10 notebooks and 7 pens costing 2 dollars each.How much did Maria pay?
(A) 34 dollars
(B) 40 dollars
(C) 50 dollars
(D) 60 dollars
(E) 70 dollars
Rationale: Solution
2 × (10 + 7) = 2 × 10 + 2 × 7 = 20 + 14 = 34 dollars
Answer A
Answer: (A) 34 dollars
Question: if 60% of (x-y) = 30% of (x+y) then what percent of x is y?
(A) 33%
(B) 10%
(C) 5%
(D) 15%
(E) 25%
Rationale: 60% of (x-y)=30% of(x+y)
(60/100)(x-y)=(30/100)(x+y)
6(x-y)=3(x+y)
3x=9y
x=3y
therefore required percentage
=((y/x) X 100)% = ((y/3y) X 100) =33%
Answer is A.
Answer: (A) 33%
Question: Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 1200. What is their H.C.F.?
(A) 20
(B) 60
(C) 90
(D) 100
(E) 120
Rationale: Let the numbers be 3x, 4x and 5x.
Then, their L.C.M. = 60x
60x = 1200
x = 20
The numbers are (3 x 20), (4 x 20) and (5 x 20).
The H.C.F. is 20.
The answer is A.
Answer: (A) 20
Question: Two trains T1 and T2 start simultaneously from two stations X and Y respectively towards each other. If they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.
(A) 210 km
(B) 240 km
(C) 220km
(D) 180km
(E) 190km
Rationale: In first 3 hours T1 travels R km and T2 travels S km.
After 6 hours they traveled R+S+70+ 700
2(R+S ) = R+S +140
R+S = 140
Hence distance between XY is R+S+ 70 = 140 +70 =210
ANSWER:A
Answer: (A) 210 km
Question: 5n + 2 > 12 and 7n + 2 < 44; n must be between which numbers?
(A) 1 and 8
(B) 2 and 6
(C) 0 and 9
(D) 2 and 7
(E) 2 and 9
Rationale: 5n+2 > 12
5n > 10
n > 2
7n+2 < 44
7n < 42
n < 6
So n must be between 2 and 6
2 < n < 6
correct answer B
Answer: (B) 2 and 6
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 5000. With the help of C, they completed the work in 3 days. How much is to be paid to C?
(A) s. 375
(B) s. 425
(C) s. 625
(D) s. 800
(E) s. 850
Rationale: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages = 1/6 : 1/8 : 1/24 = 4: 3 : 1
C's share (for 3 days) = Rs.	(3 * 1/24 * 5000) =Rs.625
Answer = C
Answer: (C) s. 625
Question: The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 40, what is the possible maximum range of the temperatures?
(A) 20
(B) 25
(C) 40
(D) 50
(E) 75
Rationale: there are 5 days so the sum of temperature can be 50*5=250
lowest is 40. to find the maximum range we can say the temperature was the lowest for 4 of the 5 days
so 4*40=160.
on the fifth day it is 250-160=90
range is therefore 90-40=50
answer D
Answer: (D) 50
Question: What is the units digit of (493) (913) (381) (756) (29)
(A) 0
(B) 1
(C) 4
(D) 3
(E) 6
Rationale: Just multiply the digits in the units place for each term and you will get the answer. It should be 0. you got a 5 as a unit digit and an even number term. so the multiplication of this will definitely yield a 0. Answer has to be 0.
I also tried it using the calculator and the answer is 3.
IMO D.
Answer: (D) 3
Question: In how many R ways can 5 people from a group of 6 people be seated around a circular table
(A) 56
(B) 80
(C) 100
(D) 120
(E) 144
Rationale: R=6C5 * (5-1)! (Select 5 out of 6 and arrange them in circular manner)
= 6 * 4!
= 6 * 24
= 144
Answer - E
Answer: (E) 144
Question: Find out the C.I on Rs.6000 at 4% p.a. compound half-yearly for 1 1/2 years
(A) 367.25
(B) 306.07
(C) 306.04
(D) 306.03
(E) 306.01
Rationale: A = 6000(51/50)3
= 6367.248
6000
-----------
367.25
Answer:A
Answer: (A) 367.25
Question: The number of meters in BB is equal to the square root of the number of centimeters in BB. What is the length of BB (1 meter=100 centimeters)?
(A) 100 meters
(B) 10 meters
(C) 100 centimeters
(D) 10 centimeter
(E) 1 centimeter
Rationale: I'd plug in the options for this question.
Check option A: if the number of meters in BB is 100, then the number of centimeters is 100*100. The square root of 100*100 is 100: 100 = 100.
Answer: A.
Answer: (A) 100 meters
Question: The Lulu mall in city charges 80 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If David parked his bike in the mall for 7 hours and 30 minutes, how much is he going to pay?
(A) $36.6
(B) $12.
(C) $13.
(D) $14.5.
(E) $15.
Rationale: 0.80+5*5+2*5+0.80= $36.6
Answer: $36.6
Answer: (A) $36.6
Question: Population of a city in 20004 was 1400000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
(A) 354354
(B) 545454
(C) 465785
(D) 456573
(E) 2818075/2
Rationale: Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)
= P (1 + 15/100)(1 - 35/100)(1 + 45/100)
= 2818075/2
E
Answer: (E) 2818075/2
Question: What number is obtained by adding the units digits of 734^99 and 347^82?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Rationale: The units digit of 734^99 is 4 because 4 raised to the power of an odd integer ends in 4.
The units digit of 347^82 is 9 because powers of 7 end in 7, 9, 3, or 1 cyclically. Since 82 is in the form 4n+2, the units digit is 9.
Then 4+9 = 13.
The answer is D.
Answer: (D) 13
Question: In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 292. What is the sum of all the integers in the sequence?
(A) 552
(B) 616
(C) 774
(D) 886
(E) 990
Rationale: let the first term of the sequence be x
since it is consecutive even integers the terms be we x, x+2,x+4...x+14 (up to 8 terms)
now,
sum of first 4 terms =292
or,
4x+12=292
x=280/4=70
Thus the answer can now be calculated by either summing up 70+72+74+... 8th term
or
s=n/2(2a+(n-1)d
=8/2(2*70+(7*2))
=4(140+14)=616
B
Answer: (B) 616
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 10000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
(A) 23
(B) 19
(C) 22
(D) 20
(E) 14
Rationale: Let the total number of workers be x. Then,
8000x = (10000 * 7) + 6000(x - 7)
= 2000x = 28000
= x = 14.
ANSWER:E
Answer: (E) 14
Question: A man rows his boat 90 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
(A) 9 kmph
(B) 6 kmph
(C) 5 kmph
(D) 8 kmph
(E) 7 kmph
Rationale: Speed downstream = d/t = 90/(2 1/2) = 36 kmph
Speed upstream = d/t = 45/(2 1/2) = 18 kmph
The speed of the stream = (36 - 18)/2 = 9 kmph
Answer:A
Answer: (A) 9 kmph
Question: Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
(A) 8 kmph
(B) 11 kmph
(C) 12 kmph
(D) 14 kmph
(E) 16 kmph
Rationale: Explanation:
Let the distance travelled by x km.
Then,	x/10-x/15=2
3x - 2x = 60
x = 60 km.
Time taken to travel 60 km at 10 km/hr =60/10 hrs= 6 hrs.
So, Robert started 6 hours before 2 P.M. i.e., at 8 A.M.
Required speed =	60/5kmph= 12 kmph
ANSWER IS C
Answer: (C) 12 kmph
Question: The total of 324 of 20 paise and 25 paise make a sum of Rs. 71. The no of 20 paise coins is
(A) 238
(B) 277
(C) 278
(D) 200
(E) 288
Rationale: Explanation:
Let the number of 20 paise coins be x. Then the no of 25 paise coins = (324 - x).
0.20 * (x) + 0.25 (324 - x) = 71 => x = 200..
Answer: D) 200
Answer: (D) 200
Question: A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
(A) 928
(B) 278
(C) 192
(D) 108
(E) 289
Rationale: The boy can select one trouser in nine ways.
The boy can select one shirt in 12 ways.
The number of ways in which he can select one trouser and one shirt is 9 * 12
= 108 ways.
Answer:D
Answer: (D) 108
Question: 10 is subtracted from 50% of a number, the result is 25. Find the number?
(A) 75
(B) 70
(C) 35
(D) 170
(E) 50
Rationale: (50/100) * X â€“ 10 = 25
5X = 350
X = 70
Answer:B
Answer: (B) 70
Question: If 4 men can colour 48 m long cloth in 2 days, then 6 women can colour 36 m long cloth in?
(A) day
(B) day
(C) days
(D) days
(E) days
Rationale: The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 × 6 = 1 day.
B)
Answer: (B) day
Question: How many positive numbers not greater than 4300 can be formed using the digits 0,1,2,3,4 where repeatation is allowed?
(A) 576
(B) 575
(C) 620
(D) 640
(E) 660
Rationale: 1 digit = 5
2 digits = 4* 5 = 20
3 digits = 4*5*5= 100
Now,4 digit number till 4000 can have digits 1,2,3 in thousands place ( total choices = 3 )
0,1,2,3,4 in hundreds ,tens and ones place
I.e 3*5*5*5 = 375
Now From 4000 to 4299 = 1*3*5*5 =75
Total = 5+20+100+375+75+1 =576 (1 for 4300)
ANSWER:A
Answer: (A) 576
Question: T=(429)^2 * 237 * (1243)^3 is thrice of ?
(A) 33605 * 31960 * (1243)^2
(B) 33654 * 538219 * (1243)^2
(C) 33891 * 533247 * (1243)^2
(D) 34122 * 532004 * (1243)^2
(E) 34606 * 534572 * (1243)^2
Rationale: T=(429)^2*237*(1243)^3 is an odd number.
Among answer choices only C is an odd number, (so thrice C also will be an odd number).
Answer: C.
Answer: (C) 33891 * 533247 * (1243)^2
Question: Find the value of y from (12)^2 x 6^3 ÷ 432 = y?
(A) 2134
(B) 2234
(C) 2540
(D) 2560
(E) 72
Rationale: 72
E
Answer: (E) 72
Question: -20 , -16 , -12 , -8 ....
In the sequence above, each term after the first is 8 greater than the preceding term. Which of the following could not be a term in the sequence?
(A) 0
(B) 200
(C) 440
(D) 664
(E) 762
Rationale: Ans : E 762
Since 762 is not divisible by 8 , all the other options are divisible by 8
Answer: (E) 762