mathewhe/aqua_rat huggingface dataset:
Question: A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
(A) Rs 80
(B) Rs 100
(C) Rs 95
(D) None of these
(E) Cannot be determined
Rationale: Explanation :
Let the dealer buys 3kg, 4kg and 5kg.
Price of total dry fruits = 3*100 + 4*80 + 5*60 = Rs 920.
Profit = 920 * 115/100 = 1380.
Price of mix dry fruits per kg = 1380 / 12 = Rs 115.
Answer : D
Answer: (D) None of these
Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many E ways can the test be completed if every question is unanswered?
(A) 24
(B) 120
(C) 625
(D) 720
(E) 1024
Rationale: 5 choices for each of the 4 questions, thus total E of 5*5*5*5 = 5^4 = 625 ways to answer all of them.
Answer: C.
Answer: (C) 625
Question: An alloy weighing 24 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 80 percent gold?
(A) 6
(B) 9
(C) 12
(D) 24
(E) 48
Rationale: In 24 ounces, gold is 24 * (70/100) = 16.8 ounces. Now we add x ounces of pure gold to make it 90% gold.
So 16.8 + x = (24 + x)* 80/100 => x =12.
Answer is C.
Answer: (C) 12
Question: A set consists of 12 numbers, all are even or multiple of 5. If 4 numbers are even and 10 numbers are multiple of 5, how many numbers is multiple of 10?
(A)  0
(B)  1
(C)  2
(D)  3
(E)  5
Rationale: {Total} = {Even} + {Multiple of 5} - {Both} + {Nether}.
Since{Neither}=0(allare even or multiple of 5) then:
12 = 4 + 10 - {Both} + 0;
{Both}=2(so 1 number is both even AND multiple of 5, so it must be a multiple of 10).
Answer: C.
Answer: (C)  2
Question: Two numbers are in the ratio 3 : 4. If their L.C.M. is 36. what is sum of the numbers?
(A) 21
(B) 56
(C) 76
(D) 84
(E) 85
Rationale: Explanation:
Let the numbers be 3x and 4x
LCM of 3x and 4x = 12x (Since LCM of 3 and 4 is 12. Hence LCM of 3x and 4x is 12x)
Given that LCM of 3x and 4x is 36
=> 12x = 36
=> x = 36/12 = 3
Sum of the numbers
= 3x + 4x
= 7x
= 7 x 3 = 21
Answer: Option A
Answer: (A) 21
Question: How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {10, 1, 2, 3, 4, 5, 6, 7, 8, 9}
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: Given s=3t
t can take 1,2,3
and so s = 3,6,9
3 such pairs can be formed.
answer C
Answer: (C) 3
Question: If p is the product of the integers from 1 to 38, inclusive, what is the greatest integer k for which 3^k is a factor of p?
(A) 13
(B) 15
(C) 17
(D) 19
(E) 21
Rationale: 38! has 3, 6, 9,....30, 33, 36 as factors, which are 12 multiples of 3.
We need to add 5 more to these 12 because of 9, 18, 27, and 36.
The greatest integer of k is 17.
The answer is C.
Answer: (C) 17
Question: The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
(A) 87 Kmph
(B) 68 Kmph
(C) 54 Kmph
(D) 37 Kmph
(E) 16 Kmph
Rationale: Length of the two trains = 600m + 400m
Speed of the first train = X
Speed of the second train= 48 Kmph
1000/X - 48 = 180
1000/x - 48 * 5/18 = 180
50 = 9X - 120
X = 68 Kmph
Answer: B
Answer: (B) 68 Kmph
Question: A sports equipment store sold ping pong rackets for a total of $637. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
(A) 50
(B) 100
(C) 65
(D) 500
(E) 980
Rationale: Average price for a pair of rackets = $9.8
Total cost = $9.8*x = $637
x = 65 pairs were sold.
ANSWER:C
Answer: (C) 65
Question: The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
(A) 2/3
(B) 1/3
(C) 2/9
(D) 1/12
(E) 1/24
Rationale: Probability of first member an English teacher = 3/9
Probability of second member an English teacher = 2/8
Probability of both being english teacher = 3/9 x 2/8 =1/12 (D)
ANSWER:D
Answer: (D) 1/12
Question: The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be
(A) 30% less than b
(B) 42 6/7% less than b
(C) 50% less than b
(D) 66 2/3% less than b
(E) 75% less than b
Rationale: Say a = 4 (multiple of 4), then m = 4 + 3/4*4 = 7.
m = (a + b)/2;
7 = (4 + b)/2 --> b = 10.
m = 7 is 30% less than b = 10.
Answer: A.
Answer: (A) 30% less than b
Question: Peeta asks Katniss, 'It is 9 pm as per my watch right now.Do you know what will be the time 23, 999, 997 hours later?'
Katniss knows the answer. Do you ?
(A) 5pm
(B) 6pm
(C) 4am
(D) 7am
(E) 8pm
Rationale: B
6pm
The time after 24, 000, 000 hours will be the same as it is now. We want the time 3 hours before that and thus you can deduct three hours from 9 pm. So the time will be 6 pm.
Answer: (B) 6pm
Question: Find the value of x: x² + 6x +9.
(A) 9
(B) -1
(C) -3
(D) 3
(E) -9
Rationale: That quadratic is factored as follows:x² + 6x + 9 = (x + 3)(x + 3).Lesson 17.Now, it is easy to see that that both factors will be 0 when x = -3.The solution is:x	=	-3 C
Answer: (C) -3
Question: The positive integer x has a factor of 16. If the square root of x is > 16, which of the following could equal x/16?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Rationale: Given: x=16k (where k is a positive integer) and √x=√16k >16 --> x=16k>16^2 --> divide by 16. So as x/16=k=integer>16, then x/16 can be 17, 18, ...
Answer: E.
Answer: (E) 17
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
(A) 1/3.
(B) 1/2.
(C) 2.
(D) 6.
(E) 3.
Rationale: Difference = Average
H - L = (H + L)/2,
Solving for H/L gives 3. A quick check, H be 12 and L be 4, 12 - 4 = (12 + 4 )/2
E
Answer: (E) 3.
Question: Mangala completes a piece of work in 10 days, Raju completes the same work in 70 days. If both of them work together, then the number of days required to complete the work is?
(A) 8 days
(B) 70/8 days
(C) 12 days
(D) 14 days
(E) 16 days
Rationale: If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 Ã— 70/80 = 70/8 days
B)
Answer: (B) 70/8 days
Question: Solve the given two equations and find the inequality of X and Y. (a) x^2 = 729 and (b) Y= (729)^(1/2)
(A) If x>y
(B) If x>=y
(C) If x < y
(D) If x<=y
(E) x=y or relationship cannot be established
Rationale: Solution:-
X=+27, -27 and Y= +27
Comparing we get X<=Y
D
Answer: (D) If x<=y
Question: A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
(A) 5.33kmph
(B) 6.00kmph
(C) 5.00kmph
(D) 6.00kmph
(E) 4.00kmph
Rationale: M = 6.5
S = 1.5
DS = 8
US = 4
AS = (2 * 8 * 4) /12 = 5.33
Answer:A
Answer: (A) 5.33kmph
Question: A leak in the bottom of a tank can empty the full tank in 3 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) 7960
(C) 8290
(D) 1440
(E) None
Rationale: Solution
Work done by the inlet in 1 hour	= (1/3 - 1/12)
= 1/4
Work done by the inlet in 1 min.	= (1/4 × 1/60)
= 0.004167
Volume of 0.004167 part = 6 litres.
Therefore, Volume of whole	= 0.004167 x 6
‹=› 1440 litres.
Answer D
Answer: (D) 1440
Question: Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
(A) 11 1/8%
(B) 31 1/9%
(C) 11 1/9%
(D) 11 8/9%
(E) 13 1/9%
Rationale: 900 --- 100
100 --- ? => 11 1/9%
Answer:C
Answer: (C) 11 1/9%
Question: A bookseller has two display windows. She plans to display 4 new fiction books in the left window, and 2 new non-fiction books in the right window. Assuming she can put the four fiction books in any order, and separately, the three non-fiction books in any order, how many total configurations will there be for the two display windows?
(A) 48
(B) 72
(C) 144
(D) 336
(E) 420
Rationale: The left window will have permutations of the 4 fiction books, so the number of possibilities for that window is
permutations = 4! = (4)(3)(2)(1) = 24
The right window will have permutations of the 2 non-fiction books, so the number of possibilities for that window is
permutations = 2! = (2)(1) = 2
Any of the 24 displays of the left window could be combined with any of the 6 displays of the right window, so the total number of configurations is 24*2 = 48
Answer: A
Answer: (A) 48
Question: A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many days was he absent?
(A) 8
(B) 10
(C) 15
(D) 17
(E) 19
Rationale: 30 * 25 = 750
425
-----------
325
25 + 7.50 = 32.5
325/32.5 = 10
B
Answer: (B) 10
Question: How many consonants are present between the first and seventh vowel in the sequence of English alphabet ?
(A) 12
(B) 13
(C) 11
(D) 10
(E) None of these
Rationale: Explanation:
Ref : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
There are only five vowels, hence there are no consonants between first and seventh vowel.
ANSWER E
Answer: (E) None of these
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: |-----------20--------------------|
50 40
D = 20
RS = 50 – 40 = 10
T = 20/10 = 2 hours.Answer:A
Answer: (A) 2
Question: Ravi purchased a shirt and a pant for Rs. 1000 &Rs. 3000 respectively. He sold the shirt at a loss of 5% and the pant at a profit of 8%. Overall how much he make a profit.
(A) 245
(B) 320
(C) 120
(D) 190
(E) 598
Rationale: Let the SP of the shirt and the pant be Rs. r and Rs. m respectively.
r = 1000(1 - 5/100) = 1000 - 50
m = 3000(1 + 8/100) = 3000 + 240
Total SP - Total CP = r + m - (1000 + 3000) = -50+ 240= Rs. 190
As this is positive, an overall profit of Rs. 190 was made.
D
Answer: (D) 190
Question: A students was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was therefore 10 less than the correct answer. Find the number?
(A) 10
(B) 12
(C) 15
(D) 20
(E) 30
Rationale: Answer
Let the number be N.
According to the question,
(N x 3)/2 - N / (3/2) = 10
⇒ 3N/2 - 2N/3 = 10
⇒ (9N - 4N) / 6 = 10
⇒ 5N / 6 = 10
∴ N = (10 x 6)/5 = 12
Option: B
Answer: (B) 12
Question: The sum of the mean, the median, and the range of the set {2,3,7} equals which one of the following values?
(A) 15
(B) 8
(C) 12
(D) 4
(E) 10
Rationale: Here Mean => 2+3+7/3 => 4
median => 3
and range => 7-2 => 5
hence sum => 4+5+3=> 12
Answer: C
Answer: (C) 12
Question: At a certain zoo, the ratio of lions to penguins is 3 to 11. If there are 82 more penguins than lions at the zoo, how many lions are there?
(A) 24
(B) 30
(C) 48
(D) 72
(E) 132
Rationale: 3/11 = x / x+82
3*82 = 8x
x=30
B.30
Answer: (B) 30
Question: If 28a+30b+31c=365.
then a+b+c=?.a,b,c are natural numbers
(A) 9
(B) 10
(C) 11
(D) 12
(E) 13
Rationale: have a look on your calender
since,we all knw a year consist of 365 days
february is d only month which has 28 days
4 months in a year has 30 days
and,rest 7 months has 31 days..
so,following d given eq. we can write 28*1 + 30*4 + 31*7..
hence values of a,b and c are 1, 4 and 7 respectively..
a+b+c=12
ANSWER:D
Answer: (D) 12
Question: Average of 13 results is 65. If the average of first six results is 61 and average of last six results is 59 Then find the seventh result?
(A) 100
(B) 110
(C) 115
(D) 120
(E) 125
Rationale: Option 'E'
Answer: (E) 125
Question: There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in?
(A) 10
(B) 45
(C) 5
(D) 20
(E) None of these
Rationale: Explanation :
3 prize among 5 students can be distributed in 5C3 ways = 10 ways.
Answer : A
Answer: (A) 10
Question: A certain number of men can do a work in 20days. If there were 4men more it could be finished in 5days less. How many men are there?
(A) 10
(B) 12
(C) 15
(D) 20
(E) 18
Rationale: Original number of workers = 4 * (20-5)/5 = 12men
Answer is B
Answer: (B) 12
Question: Nine persons went to a hotel for taking their meals. Eight of them spent 15 each on their meals and the ninth spend 8 more than the average expenditure of all the nine. What was the total money spent by them?
(A) 115
(B) 117
(C) 119
(D) 122
(E) 144
Rationale: Let the average expenditure of all the nine be x.
Then, 15 × 8 + (x + 8) = 9x or 8x = 128 or x = 16.
∴ Total money spent = 9x = (9 × 16) = 144.
Answer E
Answer: (E) 144
Question: The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 22 years(the child was born during the interval). What is the present age of the child?
(A) 10 years
(B) 20 years
(C) 30 years
(D) 40 years
(E) 25 years
Rationale: 28 * 2 = 56
22 * 3 = 66
-----------
10 years
ANSWER:A
Answer: (A) 10 years
Question: A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country S. If calls to country S are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country S in a certain month?
(A) $8.75
(B) $12
(C) $13.40
(D) $17.40
(E) $24.40
Rationale: Discount = 40% of spending
We want to maximise discount so we will need to maximise spending. We do that by assuming that 60 calls were made of 1 min each because the first minute is the most expensive.
Max discount = (40/100)* 60 * 1.6 = (40/100)*96
This would be slightly less than 40. About 38 to 39.
Saving = (Slightly less than 40) - 25 = Slightly less than 15 charged in S country
Answer (C)
Answer: (C) $13.40
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
(A) 31/111
(B) 36/145
(C) 21/115
(D) 11/154
(E) None
Rationale: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Answer: (B) 36/145
Question: A cistern 5 m long and 2 m wide contains water up to a breadth of 1 m 10 cm. Find the total area of the wet surface.
(A) 42 m sqaure
(B) 49 m sqaure
(C) 25 m sqaure
(D) 28 m sqaure
(E) None of these
Rationale: Explanation:
Area of the wet surface =
2[lb+bh+hl] - lb = 2 [bh+hl] + lb
= 2[(2*1.1+5*1.1)]+5*2 = 25 m square
Option C
Answer: (C) 25 m sqaure
Question: Two friends were driving a Ferrari at 55mph and they traveled x miles with that speed. The next x+20 miles were traveled by them at a speed of 40mph. If they drove for hundred minutes in total.
What is the distance that they traveled in total ?
(A) 64 2/57 miles
(B) 74 2/57 miles
(C) 84 2/57 miles
(D) 94 2/57 miles
(E) 54 2/57 miles
Rationale: Solution:
t1 + t2 = 100 minutes = 100/60 hours
t1 = x/55
t2 = (x+20)/40
x/55 + (x+20)/40 = 100/60
x = 1540/57
Total distance = x + (x+20) = 4220/57 miles = 74 2/57 miles
Answer B
Answer: (B) 74 2/57 miles
Question: In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
(A) 277
(B) 267
(C) 153
(D) 188
(E) 151
Rationale: 44 + 28 + 10 = 82%
100 – 82 = 18%
850 * 18/100 = 153
Answer: C
Answer: (C) 153
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
(A) 1/455
(B) 1/458
(C) 1/451
(D) 1/457
(E) 1/452
Rationale: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue
= ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer: A
Answer: (A) 1/455
Question: Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.341 in 2 years?
(A) 221
(B) 309
(C) 400
(D) 288
(E) 171
Rationale: Explanation:
341 = P(21/20)2
P = 309.29
Answer:B
Answer: (B) 309
Question: In a nuts and bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and needs to be cleaned for 5 minutes after production of every 1,000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and needs to be cleaned for 10 minutes after production of every 1,500 bolts. If both the machines start production at the same time, what is the minimum duration required for producing 9,000 pairs of nuts and bolts?
(A) 130 minutes
(B) 135 minutes
(C) 170 minutes
(D) 180 minutes
(E) 190 minutes
Rationale: Total number of nuts produced in 10 minutes = 1000.
An extra 5 minutes is required to clean those nuts.
Thus, the total time required in producing 1000 nuts = 15 minutes.
Now, total number of bolts produced in 20 minutes = 1500.
Here also an extra 10 minutes is required to clean those bolts.
Thus, the total time required in producing 1500 bolts = 30 minutes.
Also, 2000 nuts will be produced in 30 minutes. Hence, the rate of production of nuts is greater than the rate of production of bolts.
Thus, in order to determine the minimum duration required for producing 9,000 pairs of nuts and bolts, we only need to determine the time required for producing 9000 bolts.
Hence, the time required for producing 9000 bolts = (9000 x 30)/ 1500 = 180 minutes
ANSWER:D
Answer: (D) 180 minutes
Question: Share Rs.4200 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
(A) 900
(B) 1000
(C) 1254
(D) 1795
(E) 1400
Rationale: Amount received by sanjay.
4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amount
So, the Amount received by sanjay is 1400.
E
Answer: (E) 1400
Question: In a group of cheerleaders, the group made of 10 males and 16 females. Every cheerleader gets to choose between a coke or malt. The number of those that choose malt is double the number that chose coke, If all the 6 males choose malt, how many females chose malt?
(A) 30
(B) 5
(C) 8
(D) 20
(E) 10
Rationale: Number of cheerleaders = 27
Number of male = 10
number of female = 17
Coke = 9
Maly = 17
Female who chose malt = 17 - 9 = 8
Answer = C
Answer: (C) 8
Question: A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
(A) 200
(B) 150
(C) 275
(D) 300
(E) 350
Rationale: 30% ------------ 50
45% ------------ 25
----------------------
15% ------------- 75
30% -------------- ?
150 + 50 = 200 Marks
ANSWER A
Answer: (A) 200
Question: The average age of three boys is 32 years and their ages are in proportion 3:6:7. What is the age in years of the youngest boy?
(A) 16
(B) 19
(C) 18
(D) 4
(E) 2
Rationale: 3x + 6x + 7x = 96
x =6
3x = 18
Answer: C
Answer: (C) 18
Question: The area of a square field is 576 km2. How long will it take for a horse to run around at the speed of 12 km/h ?
(A) 12 h
(B) 10 h
(C) 8 h
(D) 6 h
(E) None of these
Rationale: Area of field = 576 km2. Then,
each side of field = √576=24km
Distance covered by the horse
= Perimeter of square field
= 24 × 4 = 96 km
∴ Time taken by horse = distances/peed=96/12=8h
Answer C
Answer: (C) 8 h
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
(A) 227m
(B) 228m
(C) 350m
(D) 167m
(E) 186m
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.
Answer: C
Answer: (C) 350m
Question: A and B entered into a partnership with investments of Rs. 15000 and Rs. 14000 respectively. After 3 months A left from the business, at the same time C joins with Rs. 30000. At the end of 9 months, they got Rs. 7800 as profit. Find the share of B.
(A) Rs. 4800
(B) Rs. 600
(C) Rs. 2400
(D) Rs. 1200
(E) None of these
Rationale: Explanation:
Ratio of capitals of A, B and C
= (15000 × 3) : (40000 × 9) : (30000 × 6)
= 1 : 8 : 4
B's share = Rs. [(8/13) × 7800] = Rs. 4800
Answer: Option A
Answer: (A) Rs. 4800
Question: 3+33+333+33.33=?
(A) 362.33
(B) 372.33
(C) 402.33
(D) 702
(E) None of them
Rationale: 3
33
333
33.33
----------
402.33
----------
Answer is C
Answer: (C) 402.33
Question: How many even number in the range between 10 to 140 inclusive are not divisible by 3
(A) 15
(B) 30
(C) 31
(D) 33
(E) 44
Rationale: We have to find the number of terms that are divisible by 2 but not by 6( as the question asks for the even numbers only which are not divisible by 3)
For 2,
10,12,14...140
using AP formula, we can say 140 = 10 + (n-1) *2
or n=66.
For 6,
12,18,...138
using AP formula, we can say 138 = 12 + (n-1) *6
or n=22.
Hence, only divisible by 2 but not 3 = 66-22 = 44. hence, Answer E
Answer: (E) 44
Question: Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $9.43 total. On Tuesday and Wednesday, she spent $3.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
(A) a. $3.19
(B) b. $3.75
(C) c. $3.90
(D) d. $4.88
(E) e. $4.23
Rationale: On Monday and Thursday, she spent $9.43total.
On Tuesday and Wednesday, she spent $3.54on each day.
On Friday, she spent $7.89 on lunch.
The average = (9.43 + 2*3.54 + 7.89)/5 = 4.88.
Answer: D.
Answer: (D) d. $4.88
Question: How many shots of 1cm radius can be prepared from a sphere of 2cm radius?
(A) 3
(B) 8
(C) 27
(D) 88
(E) 99
Rationale: 4/3 Ï€ * 2 * 2 * 2 = 4/3 Ï€ * 1 * 1 * 1 * x
x = 8
Answer: B
Answer: (B) 8
Question: The diameter of a garden roller is 1.4 m and it is 3 m long. How much area will it cover in 5 revolutions ? (use Ï€ = 22â„7)
(A) 60 m2
(B) 64 m2
(C) 68 m2
(D) 66 m2
(E) None of these
Rationale: Required area covered in 5 revolutions
= 5 Ã— 2Ï€rh = 5 Ã— 2 Ã— 22â„7 Ã— 0.7 Ã— 3 = 66 m2
Answer D
Answer: (D) 66 m2
Question: A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 200 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
(A) 280
(B) 290
(C) 250
(D) 310
(E) 320
Rationale: Avg speed = total distance/ total time
total distance = 800
total time = 400/350 + 400/200 = 22/7
=> avg speed = (800*7)/22 = 250(approx)
ans is C
Answer: (C) 250
Question: A train is moving at a speed of 132 km/hour. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.
(A) 7 second
(B) 7.5 second
(C) 8 second
(D) 8.5 second
(E) None of these
Rationale: Explanation:
As we need to calculate answer in seconds, so first convert speed into meter/sec.
we know 1 km/hr = 1*(5/18) m/sec
So, Speed = 132* (5/18) = 110/3 m/sec
Distance need to be covered in passing the platform =
Length of train + length of platform = 110 + 165
= 275 meters
Time = Distance/Speed
=>Time=275∗3/110=15/2=7.5seconds
Option B
Answer: (B) 7.5 second
Question: Laura's cookie recipe calls for 12 g of sugar for each 3 g of oil used. She needs to make 6 times the original recipe. If 72 g of sugar is used, then how many g of oil are needed?
(A) 18
(B) 36
(C) 12
(D) 54
(E) 6
Rationale: Number of g of sugar needed to make 6 times the original recipe 6x12 = 72
Number of grams of oil 3
Number of grams of oil needed 3x6 = 18
Answer 18
Answer: (A) 18