mathewhe/aqua_rat huggingface dataset:
Question: A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 15 minutes.
In how much time will he be able to take all the five tablets?
(A) 1 Hour.
(B) 2 Hour.
(C) 3 Hour.
(D) None
(E) Cannot be determined
Rationale: Solution:
1 Hour.
Suppose he takes the first tablet at 12:00 pm. Then the second will be consumed by him at 12:15, third at 12:30, fourth at 12:45 and fifth at 1:00.
Answer A
Answer: (A) 1 Hour.
Question: Matt gets a $1,000 commission on a big sale. This commission alone raises his average commission by $150. If Matt's new average commission is $250, how many sales has Matt made?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Let, Average Commission = x
No. of items sold = y
Total Commission = xy
New Commission = xy+1000
New Average = (xy+1000) / (y+1) = 150+x
i.e. (xy+1000) = (y+1)* (150+x)
i.e. (xy+1000) = (xy+x+150y+150)
i.e. (850) = (x+150y)
New Commission = 250 = 150+x
i.e. x=100
i.e. y = 5
New Sales = y+1 = 6
Answer: option D
Answer: (D) 6
Question: John started a business, investing 30000. Six months later, Marry joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of John?
(A) Rs.6000
(B) Rs.6500
(C) Rs.7000
(D) Rs.7500
(E) Rs.8000
Rationale: The ratio of their investments = 30000 × 12 : 15000 × 6 = 4 : 1.
:. John ’s share on profit of Rs.10000 = 10000 × 4/5 = Rs.8000.
E)
Answer: (E) Rs.8000
Question: What is the local value of 6 in the product of face value of 7 and local value of 8 in 7098060
(A) 60
(B) 600
(C) 6000
(D) 60000
(E) 6
Rationale: (Face value of 7) x (Local value of 8) = 7 x 8000 =56000
Local value of 6 in 56000 = 6000
C
Answer: (C) 6000
Question: What is the probability that Jasmine and Trish will get selected for a job they both applied for in a company, given that their chances of getting selected is 3/5 and 2/7 respectively?
(A) 6/37
(B) 6/35
(C) 5/36
(D) 7/33
(E) 7/36
Rationale: Explanation:
P(Jasmine) = 3/5
P(Trish) = 2/7
P(E) = P(Jasmine)*P(Trish)
= 3/5 * 2/7
= 6/35
ANSWER: B
Answer: (B) 6/35
Question: Which of the following number is divisible by 24 ?
(A) 22
(B) 24
(C) 26
(D) 27
(E) 28
Rationale: 24 = 3 x8, where 3 and 8 co-prime.
Clearly, 35718 is not divisible by 8, as 718 is not divisible by 8.
Similarly, 63810 is not divisible by 8 and 537804 is not divisible by 8.
Consider option (D),
Sum of digits = (3 + 1 + 2 + 5 + 7 + 3 + 6) = 27, which is divisible by 3.
Also, 736 is divisible by 8.
3125736 is divisible by (3 x 8), i.e., 24.
B
Answer: (B) 24
Question: A man swims downstream 16 km and upstream 10 km taking 2 hours each time, what is the speed of the man in still water?
(A) 7.0
(B) 8.2
(C) 6.5
(D) 7
(E) 6
Rationale: 16--- 2 DS = 8
? ---- 1
10 ---- 2 US = 5
? ---- 1 M = ?
M = (8 + 5)/2 =6.5
Answer:C
Answer: (C) 6.5
Question: In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 18th board counting from the bottom of the stack. How many boards are in the stack?
(A) 38
(B) 36
(C) 35
(D) 34
(E) 32
Rationale: Counting from the top, after the 20th board, there are 16 boards left to count.
The answer is B.
Answer: (B) 36
Question: A train is 360 meter long is running at a speed of 75 km/hour. In what time will it pass a bridge of 140 meter length?
(A) 87
(B) 69
(C) 40
(D) 72
(E) 24
Rationale: Speed = 75 Km/hr = 75*(5/18) m/sec = 125/6 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (6/125) = 24 seconds
Answer: E
Answer: (E) 24
Question: If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:
(A) 125m
(B) 128m
(C) 121m
(D) 123m
(E) 127m
Rationale: Explanation:
When X runs 48m, Y runs 42m.
Hence, when X runs 1000m, Y runs (1000 * 42) / 48 = 875m
X beats Y by 125m.
ANSWER: A
Answer: (A) 125m
Question: A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train?
(A) 150 meter
(B) 170 meter
(C) 156 meter
(D) 168 meter
(E) 50 meter
Rationale: Speed = 60*(5/18) m/sec
= 50/3 m/sec
Length of Train (Distance)
= Speed * Time
(50/3) * 3
= 50 meter
Answer:E
Answer: (E) 50 meter
Question: 75% of Ram's marks is equal to 20% of Rahim's marks which percent is equal to 30% of Robert's marks. If Robert's marks is 80, then find the average marks of Ram and Rahim?
(A) 70
(B) 97
(C) 87
(D) 90
(E) 76
Rationale: Given, 75% of Ram's marks = 20% of Rahim's marks = 30% of Robert's marks.
Given, marks of Robert = 80
30% of 80 = 30/100 * 8 = 24
Given, 75% of Ram's marks = 24.
=> Ram's marks = (24 * 100)/75 = 32
Also, 20% of Rahim's marks = 24
=> Rahim's marks = (24 * 100)/20 = 120
Average marks of Ram and Rahim = (32 + 120)/2 = 76.
Answer:E
Answer: (E) 76
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 5 minutes, then the area of the park (in sq. m) is:
(A) 153601
(B) 153600
(C) 153602
(D) 60000
(E) 153604
Rationale: Perimeter = Distance covered in 5 min. =(12000/60) x 5m = 1000 m.
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1000 or x = 100.
Length = 300 m and Breadth = 200 m.
Area = (300 x 200) m2 = 60000 m2.
Answer: D
Answer: (D) 60000
Question: A train 800 m long can cross an electric pole in 20 sec and then find the speed of the train?
(A) 72
(B) 67
(C) 28
(D) 26
(E) 144
Rationale: Length = Speed * time
Speed = L/T
S = 800/20
S = 40 M/Sec
Speed= 40*18/5 (To convert M/Sec in to Kmph multiply by 18/5)
Speed = 144 Kmph
Answer:E
Answer: (E) 144
Question: Suhas sold an item for Rs.7500 and incurred a loss of 25%. At what price, should he have sold the item to have gained a profit of 25%?
(A) Rs.13800
(B) Rs.12500
(C) Rs.11200
(D) Cannot be determined
(E) None of these
Rationale: Explanation:
255 loss means that Rs.7500 is 75% of CP.
Therefore, CP = 7500x100/75 = Rs.10000.
25% of Rs.10000 = Rs.2500.
To get a gain of 25%, the SP should be = Rs.10000+2500 = Rs.12500
Answer: Option B
Answer: (B) Rs.12500
Question: A sum of money lent out at S.I. amounts to Rs. 820 after 2 years and to Rs. 1020 after a further period of 4 years. The sum is?
(A) s.440
(B) s. 500
(C) s. 720
(D) s. 740
(E) s. 840
Rationale: S.I for 5 years = (1020 - 820) = Rs. 200.
S.I. for 2 years = 200/4 * 2 = Rs. 100.
Principal = (820 - 100) = Rs. 720.
ANSWER:C
Answer: (C) s. 720
Question: If n is a positive integer and 10!=25×7×81×2n10!=25×7×81×2n, what is the value of n?
(A) 2
(B) 4
(C) 5
(D) 8
(E) 10
Rationale: The question simply asks to find the highest power of 2 which divides 10!
So, we need to find the maximum power of 2 as below -
10/2 =5
5/2 = 2
2/1 = 1
Total Powers of 2 is 5+2+1 =8
Answer is definitely (D)
ANSWER:D
Answer: (D) 8
Question: A store owner is packing small radios into larger boxes that measure 25 in. by 42 in. by 60 in. If the measurement of each radio is 7 in. by 6 in. by 5 in., then how many radios can be placed in the box?
(A) 300
(B) 325
(C) 400
(D) 420
(E) 480
Rationale: No of radios that can be placed in the box = (25*42*60)/(7*6*5)=300
ANSWER:A
Answer: (A) 300
Question: The water from one outlet, flowing at a constant rate, can fill a swimming pool in 6 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 2 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
(A)  1.5
(B)  1.9
(C)  2.50
(D)  3.21
(E)  4.56
Rationale: Always remember RT=W i.e Rate*Time = Work
Also remember that rate can be added or subtracted. For e.g if A do a work in 2 day and B do a work in 2 day.
They both of them together will do a work in 1 day.
So now your question first determine both outlets rate.
1st outlet rate = 1/6 (R=W/T here W=1 work, T = 6hrs)
2nd outlet rate = 1/2 (R=W/T here W=1 work, T = 2hrs)
Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/6+1/2 = 4/6=2/3
again apply the formula RT=W
T = W/R = 1/2/3 = 3/2 =1.5
Answer is A.
Answer: (A)  1.5
Question: In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
(A) 19
(B) 41
(C) 21
(D) 26
(E) 25
Rationale: Number of students who took at least one of the three subjects can be found by finding out A U B U C, where A is the set of those who took Physics, B the set of those who took Chemistry and C the set of those who opted for Math.
Now, AUBUC = A + B + C - (A n B + B n C + C n A) + (A n B n C)
A is the set of those who opted for Physics = 120/2 = 60 students
B is the set of those who opted for Chemistry = 120/5 = 24
C is the set of those who opted for Math = 120/7 = 17.
The 10th, 20th, 30th…… numbered students would have opted for both Physics and Chemistry.
Therefore, A n B = 120/10 = 12
The 14th, 28th, 42nd…. Numbered students would have opted for Physics and Math.
Therefore, C n A = 120/14 = 8
The 35th, 70th …. Numbered students would have opted for Chemistry and Math.
Therefore, A n B = 120/35 = 3
And the 70th numbered student would have opted for all three subjects.
Therefore, AUBUC = 60 + 24 + 17 - (12 + 8 + 3) + 1 = 79.
Number of students who opted for none of the three subjects = 120 - 79 = 41.
ANSWER:B
Answer: (B) 41
Question: The probability that a convenience store has no iced tea is 60%. If Karl is stopping by 2 convenience stores on his way to work, what is the probability that at least one of the stores will not have a can of iced tea?
(A) 1/8
(B) 1/4
(C) 1/2
(D) 3/4
(E) 16/25
Rationale: p=1-3/5^32(all stores have iced tea)=16/25
E
Answer: (E) 16/25
Question: At Scratch and Dents Rent-a-Car, it costs $34.95 a day plus $0.23 per mile to rent a car. At Rent-a-Lemon, the charge is $25.00 a day plus $1.31 per mile. If you need to rent a car for three days, how many miles (to nearest tenth) must you drive for a car from both agencies to cost the same amount?
(A) 25.7 Miles
(B) 26.2 Miles
(C) 27.6 Miles
(D) 27.9 Miles
(E) 29.9 Miles
Rationale: For SaD:
SaDDaily = $34.95/Day
SaDMile = $0.23/Mile
For RaL:
RaLDaily = $25.00/Day
RaLMile = $1.31/Mile
We want the RaLTotal = SaDTotal, so we get
(RaLDaily * Days) + (RalMile * Miles) = (SaDDaily * Days) + (SaDMile * Miles)
=> Miles = ( (SaDDaily * Days) - (RaLDaily * Days) ) / (RalMiles - SaDMiles) = ((SaDDaily - RaLDaily )* Days) / (RalMiles - SaDMiles)
Miles = (( $34.95 * 3 ) - ( $25.00 * 3 ))/($1.31 - $0.23) = 27.6 Miles
C. 27.6 Miles
Answer: (C) 27.6 Miles
Question: What is the largest 4 digit number exactly divisible by 88?
(A) 9944
(B) 9999
(C) 9988
(D) 9900
(E) None of these
Rationale: Explanation :
Largest 4 digit number = 9999
9999 ÷ 88 = 113, remainder = 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944. Answer : Option A
Answer: (A) 9944
Question: A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
(A) 1/7
(B) 1/6
(C) 1/5
(D) 1/4
(E) 1/3
Rationale: Let x be the fraction of her take-home pay that the worker saved.
Let P be the monthly pay.
12xP = 2(1-x)P
12xP = 2P - 2xP
14xP = 2P
x = 1/7
The answer is A.
Answer: (A) 1/7
Question: If $2500 was invested at an annual interest rate of 5.6% compounded annually, which of the following represents the amount the investment was worth after 3 years?
(A) 2500 (1.056)(3)
(B) 2500 (3+1.056)
(C) 2500 (1.056)^3
(D) 2500 (1+(0.056)^3)
(E) 2500 (1+3(0.056))
Rationale: the formula is CI=P(1+r/100)^t
in this case i think C is the ans
Answer: (C) 2500 (1.056)^3
Question: The price of a VCR is marked at Rs. 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?
(A) Rs. 8400
(B) Rs. 8721
(C) Rs. 8856
(D) Rs. 8956
(E) None of these
Rationale: Actual price = 95% of 90% of 85% of Rs. 12000
= 95/100 * 90/100 * 85/100 * 12000 = Rs. 8721.
ANSWER:B
Answer: (B) Rs. 8721
Question: If 4⁄9 of 3⁄10 of 5⁄8 of a number is 45, what is the number?
(A) 450
(B) 550
(C) 560
(D) 650
(E) None of these
Rationale: Number = 45×9×10×8/4×3×5⇒540
Answer E
Answer: (E) None of these
Question: The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.1 kg. The weight of the new student is
(A) 22 kg
(B) 1 kg
(C) 22.4 kg
(D) 21 kg
(E) None of these
Rationale: Exp . The total weight of 29 students = 29* 28
The total weight of 30 students = 30* 27.1
Weight of the new student = ( 30*27.1 – 29*28)
= 813 - 812 = 1
Answer:B
Answer: (B) 1 kg
Question: Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
(A) 13
(B) 12
(C) 16
(D) 18
(E) 19
Rationale: :
1/8 + 1/24 = 1/6
6 * 2 = 12.Answer:B
Answer: (B) 12
Question: If X boxes of apple juice cost 450 cents, how much will Y boxes cost in dollars?
(A) Y*45/x
(B) Y*4.5/x
(C) Y*4.5/2x
(D) 2Y*4.5/x
(E) Y*5/x
Rationale: X boxes of apple juice cost 450 cents or 4.5 dollars.
cost of apple juice = 4.5/x
Cost of Y apple juices = Y*4.5/x
Hence Answer : B
Answer: (B) Y*4.5/x
Question: In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4
Rationale: Let the number of cows be x and their legs be 4x.
Let the number of chicken be y and their legs be 2x.
Total number of legs = 4x + 2y.
Total number of heads = x + y.
The number of legs was 14 more than twice the number of heads.
Therefore, 2 × (x + y) + 14 = 4x + 2y.
or, 2x + 2y + 14 = 4x + 2y.
or, 2x + 14 = 4x [subtracting 2y from both sides].
or, 14 = 4x – 2x [subtracting 2x from both sides].
or, 14 = 2x.
or, x = 7 [dividing by 2 on both sides].
Therefore, the number of cows = 7.
Answer: B
Answer: (B) 7
Question: 18 : 12 seconds :: ? :6 minutes
(A) 10
(B) 9
(C) 20
(D) 25
(E) 30
Rationale: 18*6=12*x
x=9
ANSWER:B
Answer: (B) 9
Question: A cistern has three pipes, A, B and C. The pipes A and B can fill it in 8and 16 hours respectively and C can empty it in 12 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
(A) 6 AM
(B) 7 AM
(C) 8 AM
(D) 5 AM
(E) 4 AM
Rationale: 1 to 2 = 1/8
2 to 3 = 1/8 + 1/16 = 3/16
After 3 AM = 1/8 + 1/16 - 1/12 = 5/48
1/8 + 3/16 = 5/16
1 h ---- 5/48
? ----- 5/16
3hours ==> 6 AM
Answer:A
Answer: (A) 6 AM
Question: If the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2c =
(A) 540
(B) 570
(C) 619
(D) 649
(E) 700
Rationale: Before Price increase Price = c
After 30% Price increase Price = c+(30/100)*c= 1.3c = 351 (Given)
i.e. c= 351/1.3 = $270
i.e. 2c = 2*270 = 540
Answer: option A
Answer: (A) 540
Question: Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
(A) loss of Rs. 200
(B) loss of Rs. 100
(C) profit of Rs. 100
(D) profit of Rs. 200
(E) None of these
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
ANSWER:D
Answer: (D) profit of Rs. 200
Question: Find the greatest number which leaves the same remainder when it divides 25, 57 and 105.
(A) 18
(B) 8
(C) 12
(D) 16
(E) None of these
Rationale: 105 - 57 = 48
57 - 25 = 32
105 - 25 = 80
The H.C.F of 32, 48 and 80 is 16.
ANSWER:D
Answer: (D) 16
Question: [( 3.242 x 12 ) / 100] = ?
(A) 0.045388
(B) 4.5388
(C) 453.88
(D) 473.88
(E) 0.038904
Rationale: Answer
Multiplying 3.242 x 12=3.8904
Now divide 3.8904 by 100
So, 3.8904 ÷ 100= 0.038904
∴ Shift the decimal two places to the left as 100
Correct Option: E
Answer: (E) 0.038904
Question: The average salary/head of allthe workers in a workshop is Rs.750, if the average salary/head of 5 technician is Rs.900 and the average salary/head of the rest is Rs.700, the total no. of workers in the work-shop is ?
(A) 18
(B) 20
(C) 22
(D) 24
(E) 26
Rationale: Let the total number of workers be y.So sum of salary for all workers = sum of salary of 5 technician + sum of salary for other y -5 workers.5 x 900 + 700(y -5) = 750 y⇒ 4500 + 700y - 3500 = 750y⇒ 50y = 1000∴ y = 20 So total number of workers = 20B
Answer: (B) 20
Question: Two water pumps, working simultaneously at their respective constant rates, took exactly five hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate?
(A) 8.5
(B) 10.5
(C) 12.5
(D) 14.5
(E) 16.5
Rationale: Let x be the rate of the slower pump. Then 1.5x is the rate of the faster pump.
Both pumps together can fill 1/5 of the pool each hour.
2.5x = 1/5
x = 1/12.5 = 2/25
The slower pump could fill the pool in 25/2 = 12.5 hours.
The answer is C.
Answer: (C) 12.5
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
(A) 132
(B) 77
(C) 66
(D) 99
(E) 21
Rationale: 2 * 22/7 * 14 = 88
88 * 1 1/2 = Rs.132
Answer: A
Answer: (A) 132
Question: Three people have $34, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
(A) $72
(B) $85
(C) $98
(D) $101
(E) $102
Rationale: Solution -
Total money distributed is $204. In order to maximize median, one person has to accept $0 and remaining two people share $102 each. Hence median is $102.
ANS E
Answer: (E) $102
Question: How many 8's are there in the following number series which are exactly divisible by its immediately preceding and also exactly divisible by immediately succeeding numbers?
8 2 4 5 1 7 2 8 4 8 4 2 2 8 2 6 9 8 4 5 4 8 3 2 8 4 3 1 8 3
(A) 1
(B) 2
(C) 3
(D) 4
(E) None of these
Rationale: 284
484
282
284
ANSWER:D
Answer: (D) 4
Question: A batsman in his 17th innings makes a score of 80 and their by increasing his average by 3. What is his average after the 17thinnings?
(A) 28
(B) 29
(C) 30
(D) 31
(E) 32
Rationale: 16x + 80 = 17(x + 3)
x = 27+3=30
ANSWER:C
Answer: (C) 30
Question: A rectangular table seats 6 people on each of two sides, with every person directly facing another person across the table. If twelve people choose their seats at random, what is probability that any two of them directly face other?
(A) 1/11
(B) 1/8
(C) 1/7
(D) 15/56
(E) 4/7
Rationale: A B C D E F
------------
| TABLE |
------------
G H I J K L
A to L are 12 people.
Prob to select any 1 person = 1
Prob to select the person opposite to the chosen person = 1/11
For ex. If we select A as the person than prob of choosing G is 1/11.
Hence, answer will be A.
Answer: (A) 1/11
Question: An item is being sold for $10 each. However, if a customer will “buy at least 3” they have a promo discount of 30%. Also, if a customer will “buy at least 10” items they will deduct an additional 8% to their “buy at least 3” promo price. If Sam buys 10 pcs of that item how much should he pay?
(A) $92.00
(B) $88.00
(C) $87.04
(D) $80.96
(E) $65.00
Rationale: Without any discount Sam should pay 10*10=$100. Now, the overall discount would be slightly less than 38%, thus he must pay slightly more than $62.
Answer: E.
Answer: (E) $65.00
Question: m:n = 5: 8 , n: p = 6 : 7 , m:n:p = ?
(A) 30 : 48 : 54
(B) 30 : 48 : 56
(C) 30 : 48 : 50
(D) 30 : 48 : 52
(E) 30 : 48 : 58
Rationale: m:n = 5: 8
n: p = 6 : 7
m:n:p =30 : 48 : 56
Answer : B
Answer: (B) 30 : 48 : 56
Question: 9 speakers gathered to deliver speeches on two topics. Even though 9 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?
(A) 24
(B) 36
(C) 64
(D) 100
(E) 81
Rationale: 1)there are 9 speeches in ONE topic and 9 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 9C1∗9C1=9∗9=81
ANSWER:E
Answer: (E) 81
Question: The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.16000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
(A) 20
(B) 21
(C) 35
(D) 23
(E) 24
Rationale: Solution
Let the toatl number of workers be x.
Then 8000x=(16000 x 7) + 6000 (x -7)
x= 35.
Answer C
Answer: (C) 35
Question: man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
(A) 5
(B) 20
(C) 30
(D) 25
(E) 15
Rationale: US = 10
DS = 20
M = (10 + 20)/2
= 15
Answer:E
Answer: (E) 15
Question: Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
(A) 17 sec
(B) 18 sec
(C) 19 sec
(D) 20 sec
(E) 11 sec
Rationale: Relative speed
= (42 + 30) * 5/18 = 4 * 5 = 20 mps.
Distance covered in passing each other
= 120 + 280 = 400 m.
The time required
= d/s = 400/20
= 20 sec.
Answer: D
Answer: (D) 20 sec
Question: If the number 451 * 623 is completely divisible by 9, then the smallest whole number in place of * will b
(A) 4
(B) 5
(C) 7
(D) 6
(E) 9
Rationale: Sum of digits = (4 + 5 + 1 + x + 6 + 2 + 3) = (21 + x), which must be divisible by 9.
x = 6.
D)
Answer: (D) 6
Question: Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 4, how many people got on at the first stop?
(A) 128
(B) 64
(C) 32
(D) 16
(E) 8
Rationale: 7 - > 1
6 - > 2
5 - > 4
4 - > 8
3 - > 16
2 - > 32
1 - > 64
because people get off after the first stop
=> the formula will be : 2^(n-1) where n is the stop number
in this case n = 4
=> 2^(4-1) = 2^3 = 8
=> answer is E
Answer: (E) 8
Question: Which of the following fractions Q has a decimal equivalent that is a terminating decimal?
(A) 10/189
(B) 15/196
(C) 16/225
(D) 25/144
(E) 39/128
Rationale: The fraction Q will terminate if and only if the denominator has prime divisors only 2 and 5 or both.
A. 10/189 = 10/(3*3*3*7) Non-term.
B. 15/196 = 15/(2*2*7*7) Non-term.
C. 16/225 = 16/(5*5*3*3) Non-term.
D. 25/144 = 25/(2*2*2*7) Non-term.
E. 39/128 = 39/(2^7) Terminatingbecause only 2 in denominator.
Answer: (E) 39/128
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
(A) 262 cm2
(B) 384 cm2
(C) 192 cm2
(D) 131 cm2
(E) None of these
Rationale: Area of a parallelogram = base * height = 24 * 16 = 384 cm2
ANSWER:B
Answer: (B) 384 cm2
Question: A motorist travel to a place 150 km away at an average speed of 90 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is
(A) 36km/hr
(B) 37 km/hr
(C) 35 km/hr
(D) 45 km/hr
(E) None of these
Rationale: Explanation:
Average speed will be
2xy/x+y km/hr
= {2(90)(30)}/{90+30} km/hr
= 45 km/hr
Answer: Option D
Answer: (D) 45 km/hr
Question: Light glows for every 21 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
(A) 380 times
(B) 236 times
(C) 382 times
(D) 392 times
(E) 482 times
Rationale: Time difference is 1hr,22min,49sec=4969sec. So, light glows floor(4969/21)=236 times.
ANSWER:B
Answer: (B) 236 times
Question: A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
(A) 1/10
(B) 1/5
(C) 3/10
(D) 2/5
(E) 1/2
Rationale: Given: 2R and 3 G marbles
Required: Probability that 2 marbles removed without replacement are both red
Initially we have to pick one red from a total of 2 red and 3 green marbles
After one red has been picked, we need to pick 1 green from a total of 2 green and 2 red marbles.
P(Both green) = (3/5)*(2/4) = 3/10
Option C
Answer: (C) 3/10