mathewhe/aqua_rat huggingface dataset:
Question: Find the number of ways you can fill a 3 x 3 grid (with 4 corners defined as a, b, c, d), if you
have 3 white marbles and 6 black marbles
(A) 9c3
(B) 9c2
(C) 9c4
(D) 8c3
(E) 7c3
Rationale: The area of the grid is = 9.
Now, No. of ways we can arrange 3 white balls in 9 places = 9c3.
and 6 black balls in (9-3) = 6 places = 6c6 = 1.
So total = 9c3 * 1 = 9c3.
In another way,
No ways we can arrange 6 black balls in 9 places = 9c6 = 9c3
and no ways 3 white balls in (9-6) places = 3c3 = 1
No. of ways we can arrange 3 white balls and 9 black balls in 3x3 grid is = 9c3*1 = 9c3
ANSWER:A
Answer: (A) 9c3
Question: On dividing 14698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
(A) 743
(B) 154
(C) 852
(D) 741
(E) 165
Rationale: Divisor *quotient+remainder=dividend
divisor=(dividend)-(remainder)/quotient
(14698-14)/89=165
Answer(E)
Answer: (E) 165
Question: The binary equivalent of 5.375 is
(A) 101.101110111
(B) 101.011
(C) 101011
(D) None of above
(E) Cannot be determined
Rationale: Explanation :
The process to convert a floating point number to its binary equivalent :
1. Separate the number, based on the decimal point.
Ex. : 5.375 => 5 and .375
3. Convert the whole number part to its binary equivalent. In this case it is 5, so 101.
The final result will be 101.(dot)(something) .
4. Now we have to convert .375 in to its decimal equivalent.
Step 1: Begin with the decimal fraction and multiply by 2. The whole number part of the result is the first binary digit to the right of the point.
.375*2 = 0.75
So the binary result till now is : 101.0
Step 2: Discard the whole number part and again multiply the decimal fraction by 2 and again append the whole number part to the right of the point. Follow this process until we get a zero as our decimal part or until we recognize an infinite repeating pattern.
0.75*2 = 1.50
So the Binary result till now is 101.01
.50 * 2 = 1.00
So, the Final result will 101.011 i.e. option B
Answer : B
Answer: (B) 101.011
Question: In how many ways 4 boys and 3 girls can be seated in a row so that they are alternative?
(A) 120
(B) 144
(C) 160
(D) 210
(E) 180
Rationale: 4 boys can be seated in 4!
three girls can be seated in 3!
Required number = 4!3! = 144
Answer is B
Answer: (B) 144
Question: Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
(A) + 5x - 2 = 0
(B) + 5x + 2 = 0
(C) - 5x + 2 = 0
(D) - 5x - 2 = 0
(E) of these
Rationale: The quadratic equation whose roots are reciprocal of 2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.
Hence, 2(1/x)2 + 5(1/x) + 3 = 0
=> 3x2 + 5x + 2 = 0
ANSWER:B
Answer: (B) + 5x + 2 = 0
Question: To mail a package, the rate is 10 cents for the first pound and 5 cents for each additional pound. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
(A) Combined, with a saving of 8 cents
(B) Combined, with a saving of 5 cents
(C) Separately, with a saving of 2 cents
(D) Separately, with a saving of 4 cents
(E) Combined, with a saving of 10 cents
Rationale: 3 pounds = 1*10+2*5 = 20
5 pounds = 1*10+4*5 =30
total = 50
8 pound = 1*10+7*5 = 45
dif. 5
Answer : B
Answer: (B) Combined, with a saving of 5 cents
Question: Laura has a deck of standard playing cards with 11 of the 55 cards designated as aheart.If Laura shuffles the deck thoroughly and then deals 10 cards off the top of the deck, what is the probability that the 10th card dealt is a heart?
(A) 1/4
(B) 1/5
(C) 5/26
(D) 12/42
(E) 13/42
Rationale: No replacement there, 10 cards are dealt and we are asked to find the probability that 10th card is a heart.
If there is no replacement then how is the (P) that the 10th card is 11/55 ??
there are many cases here to be considered here if there is no replacement such as:
H- Denotes heart X-may be any diamond, spade or club.
1. HXXXXXXXXH
2. HHXXXXXXXH
3. HHHXXXXXXH
.
.
.
.
.
9. HHHHHHHHHH
10. XXXXXXXXXH
All cases from 1 to 10 will have different probabilities for heart to be at the 10th place and it will take hell lot of time to calculate all of them.
For according to me the above solution by Ian is only valid if cards are replaced (Every card has a 11/55 = 1/5 chance of being a heart; it doesn't matter if it's the top card in the deck or the tenth card in the deck.)If that's the case that brings back me to my original question ----how do we determine that the cards are replaced or not?? based on the question given ....
B
Answer: (B) 1/5
Question: Out of 5 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
(A) 1/10
(B) 10/21
(C) 20/21
(D) 11/21
(E) 2/21
Rationale: The number of exhaustive events = 5C2 = 10.
Let E be event of the 2 fruits being rotten. The number of favourable cases are
2C2 = 1 way.
Required probability = 1/10.
ANSWER:A
Answer: (A) 1/10
Question: A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 40% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk?
(A) 1:20
(B) 1:10
(C) 17:8
(D) 17:4
(E) 17:60
Rationale: First of all, let's consider 1 liter of the stuff he is going to sell --- naive customers think it's pure milk, but we know it's some milk-water mixture. He is going to sell this liter of milk-water for $36.
This $36 should be a 40% increase over cost. Here, we need to think about percentage increases as multipliers.
Using multipliers
(cost)*1.40 = $36
cost = 36/1.4 = 360/12 = $25.71
If he wants a 40% increase over cost on the sale of one liter of his milk-water, the cost has to be $25.71.
Well, a liter of milk costs $33, so if he is going to use just $30 of milk in his mixture, that's 25.71/33 = 60/77 of a liter. If milk is 60/77 of the liter, then water is 17/77 of the liter, and the ratio of water to milk is 17:60. Answer choice(E)
Answer: (E) 17:60
Question: A can do a piece of work in 10 days; B can do the same in 20 days. How many days will it take the work to get finished if A and B work together?
(A) 4.21
(B) 5.32
(C) 6.66
(D) 7.52
(E) 8.02
Rationale: A completes 1/10th of the work in one day and B completes 1/20th.
(1/10)+(1/20)=(1/x)
3/20=1/x => x=20/3=6.66 days
Answer: C
Answer: (C) 6.66
Question: A bullet train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going?
(A) 23 sec
(B) 15 sec
(C) 12 sec
(D) 11 sec
(E) 16 sec
Rationale: C
12 sec
Speed of the bullet train relative to man = (59 + 7) kmph
= 66 *5/18 m/sec = 55/3 m/sec.
Time taken by the bullet train to cross the man = Time taken by it to cover 220 m at (55/3) m / sec
= (220 *3/55) sec = 12 sec
Answer: (C) 12 sec
Question: In an entrance exam, 3 marks is awarded for every correct answer and (-1) for every wrong answer. If a student gets 38 marks after attempting all questions, find the number of questions answered correctly if the total questions were 70.
(A) 27
(B) 88
(C) 26
(D) 29
(E) 71
Rationale: Explanation:
Let x be the number of questions answered correctly. Hence, number of questions whose answer were wrong = (70 – x)
3*x + (70 – x)*(-1) = 38
4x = 38 + 70 = 108
x = 27
ANSWER:A
Answer: (A) 27
Question: The mean of 50 observations is 200. But later he found that there is decrements of 15 from each observations. what is the the updated mean is ?
(A) 165
(B) 185
(C) 190
(D) 198
(E) 199
Rationale: 185
Answer is B
Answer: (B) 185
Question: A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 35, how many coins of each type are there?
(A) 20 coin
(B) 30 coins
(C) 28 coins
(D) 25 coins
(E) None of these
Rationale: Let number of each type of coin = x. Then,
1 × x + .50 × x + .25x = 35
⇒ 1.75x = 35 ⇒ x = 20 coin
Answer A
Answer: (A) 20 coin
Question: A basket of 2 apple is to be chosen from four apples. What is the probability ways of apples that can be chosen?
(A) 6
(B) 8
(C) 10
(D) 4
(E) 2
Rationale: The question is out of 4 apples 2 apples should be chosen.
Required probability is 4C2=4!/2!*2!=6
The option A is correct.
Answer: (A) 6
Question: AB
+BA
-----------
AAC
In the correctly worked addition problem shown here, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
(A) 9
(B) 6
(C) 3
(D) 0
(E) 2
Rationale: AB+BA = AAC -> EQ 1
EQ 1 IMPLIES: B+A = 10+C - EQ 2 (DIFFICULT TO INTERPRET. I AGREE. JUST SUM UP THE UNITS DIGIT IN EQ 1)
NOW SPLIT UP EQ 1
10A+B+10B+A = 100A+10A+C - EQ 3
EQ 3 IMPLIES: 11(A+B) = 110A+C
SUBSTITUTE EQ 2 (B+A = 10+C) IN ABOVE
11(10+C) = 110A+C => 110+11C = 110A + C
IMPLIES A = 1C = 0
D
Answer: (D) 0
Question: Triangle ABC will be constructed in a xy-plane according to the following conditions: Angle ABC is 90 degrees, and AB is parallel to the y-axis; for each of points A, B and C, both the x-coordinate and the y-coordinate must be integers; the range of possible x-coordinates is 0=<x=<5 and the range of possible y-coordinates is -4=<y=<6. Any two triangles with non-identical vertices are considered different. Given these constraints, how many different triangles could be constructed?
(A) 50
(B) 66
(C) 2500
(D) 3300
(E) 4356
Rationale: Since give that 0=<x=<5 and -4=<y=<6 then we have a rectangle with dimensions 6*11 (6 horizontal and 11 vertical dots). AB is parallel to y-axis, BC is parallel to x-axis and the right angle is at B.
Choose the (x,y) coordinates for vertex B: 6C1*11C1;
Choose the x coordinate for vertex C (as y coordinate is fixed by B): 5C1, (6-1=5 as 1 horizontal dot is already occupied by B);
Choose the y coordinate for vertex A (as x coordinate is fixed by B): 10C1, (11-1=10 as 1 vertical dot is already occupied by B).
6C1*11C1*5C1*10C1=3,300.
Answer: D
Answer: (D) 3300
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
(A) 22
(B) 12
(C) 77
(D) 99
(E) 21
Rationale: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (120 + 120)/20 = 12 sec.
Answer: B
Answer: (B) 12
Question: In a box, there are 10 red, 6 blue and 7 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
(A) 4/51
(B) 10/23
(C) 7/12
(D) 11/31
(E) 13/17
Rationale: Total number of balls = 10+6+7 = 23
E = event that the ball drawn is neither red nor green
= event that the ball drawn is red
n(E) = 10
P(E) = 10/23
Answer is B
Answer: (B) 10/23
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 4 miles per hour and returns along the same road at an average speed of 5 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
(A) (a) 24/5
(B) (b) 5
(C) (c) 40/9
(D) (d) 27/5
(E) (e) 28/5
Rationale: from the uphill we can find out the distance = 4*2 = 8
average speed = total distance/total time
= 16/ (2+ (8/5)) = 40/9
Answer is C.
Answer: (C) (c) 40/9
Question: The milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
(A) 100
(B) 250
(C) 750
(D) 5812.5
(E) 5835.5
Rationale: 6 inches = 1/2 feet (there are 12 inches in a foot.), so 62*25*1/2=775 feet^3 of milk must be removed, which equals to 775*7.5=5812.5 gallons.
Answer: D.
Answer: (D) 5812.5
Question: Goldman Limited has 5 Senior Managing Directors and 6 Managing Directors. Each investment banking deal requires the guidance of four managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Morgan Limited possibly provide guidance for?
(A)  116
(B)  236
(C)  315
(D)  514
(E)  614
Rationale: P(at least 1 S D) = P(Total) - P(0 Senior Director)
=11C4 - 6C4
= 315
Answer: (C)  315
Question: What is the smallest positive integer m such that the following equation
holds for some polynomials u(x) and v(x) with integer coefficients?
(x + 2)(x + 5)(x + 7) u(x) − (x − 2)(x − 5)(x − 7) v(x) = m
(A) 70
(B) 1260
(C) 1680
(D) 3780
(E) 7560
Rationale: Substituting x = 5 into the given equation, we deduce 7 · 10 · 12 · u(5) = m. Substituting x = 7
into the given equation, we deduce 9 · 12 · 14 · u(7) = m. It follows that m must be divisible by
each of 7 · 10 · 12 and 9 · 12 · 14 which implies that 23 · 33 · 5 · 7 = 7560 divides m. Of the choices,
we see that only (e) is possible here. Verifying that such a u(x) and v(x) exist requires a little more
work, but we note that one can take u(x) = x2 − 14x + 54 and v(x) = x2 + 14x + 54.
correct answer E
Answer: (E) 7560
Question: The sum of ages of 5 girls born at the intervals of 2 years each is 50 years. What is the age of the youngest girl?
(A) years
(B) years
(C) years
(D) years
(E) years
Rationale: Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) years.
Then, x + (x + 2) + (x + 4) + (x +6) + (x + 8) = 50
5x = 30
x = 6.
Age of the youngest child = x =6 years.
A)
Answer: (A) years
Question: If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 3 days ?
(A) X-1/8
(B) X/2
(C) X/4
(D) X/32
(E) X/16
Rationale: LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH.
FINALLY ON LEAVE WILL BE LEFT ..SO ON 3RD DAY LEAVE LOST IS X-1/8 ANSWER A
Answer: (A) X-1/8
Question: If Joanie puts $500 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
(A) $51.25
(B) $510
(C) $550
(D) $551.25
(E) $565
Rationale: Since, money is compounded semiannually, rate of interest=10/2=5% and time =1*2=2
C.I=(5%of $500)+5%of(5%of $500)=$51.25
Amount=$500+51.25=$551.25
Answer D
Answer: (D) $551.25
Question: The ratio of the money with Ravi and Giri is 6:7 and that with Giri and Kiran is 6:15. If Ravi has $36, how much money does Kiran have?
(A) $36
(B) $42
(C) $60
(D) $75
(E) $105
Rationale: Rita : Sita : Kavita
6 : 7
6 : 15
36 : 42 : 105
The ratio of money with Ravi, Giri and Kiran is 36:42:105
We see that 36 = $36
Then 105 = $ 105
Answer is E
Answer: (E) $105
Question: Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 16 hours and 4 hours respectively. The ratio of their speeds is:
(A) 2 : 4
(B) 4 : 3
(C) 6 : 7
(D) 9 : 16
(E) None of these
Rationale: Let us name the trains as A and B. Then,
(A's speed) : (B's speed) = âˆšb : âˆša = âˆš4 : âˆš16 = 2 : 4.
Answer A
Answer: (A) 2 : 4
Question: If the sum of the interior angles of a regular polygon measures up to 900 degrees, then how many sides does the polygon have?
(A) 10
(B) 16
(C) 12
(D) 11
(E) 7
Rationale: one of the interior angle = 180 - 360/n
sum of the interior angles is = n (180 - 360/n)
given
n(180 - 360/n)=900
180n - 360 = 1260
180n = 1260
n = 1260/180 = 7
ANSWER:E
Answer: (E) 7
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 12% if no discount was offered?
(A) 17608
(B) 17920
(C) 17604
(D) 17600
(E) 117601
Rationale: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 10% if no discount was offered = 16000 * 112/100 = Rs. 17920.Answer: B
Answer: (B) 17920
Question: One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 37 min, then the slower pipe alone will be able to fill the tank in?
(A) 229
(B) 787
(C) 144
(D) 148
(E) 121
Rationale: Let the slower pipe alone fill the tank in x min.
Then, faster pipe will fill it in x/3 min.
1/x + 3/x = 1/37
4/x = 1/37 => x = 148 min.
Answer: D
Answer: (D) 148
Question: If a person has two rectangular fields. The larger field has thrice the length and 4 times the width of the smaller field. If the smaller field has a length 50% more than the width.If a person takes 20 minutes to complete one round of a smaller field then what is the time required to complete one round of a larger field ?
(A) 69 minutes
(B) 68 minutes
(C) 58 minutes
(D) 48 minutes
(E) 67 minutes
Rationale: Let the width of the smaller rectangle is 4 units
then, the length of the smaller rectangle is 6 units(that is 50% more than the width)
Now the perimeter of the rectangle is 2(6+4)=20units
So, 20 units is covered in 20 units, implies covers one unit in one minute
So Now coming to the larger rectangle
The Width =16Units, Length =18units, perimeter=2(16+18)68 units
Thus, to cover the larger field, 68 minutes required to cover the rectangle.
ANSWER:B
Answer: (B) 68 minutes
Question: Three years ago the average age of a family of eight members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
(A) A)4
(B) B)3
(C) C)2
(D) D)1
(E) E)5
Rationale: 8 * 23 = 184
9 * 20 = 180
--------------
4
Answer: A
Answer: (A) A)4
Question: Mr. Moses made an investment of Rs.350. he receives a fixed interest which is compounded annually. His investment doubled after 3 years when compounded annual. How many more years will it take him to get another Rs.700 compound interest?
(A) 4 years
(B) 5 years
(C) 1 years
(D) 3 years
(E) 2 years
Rationale: Explanatory Answer
Rs.350 invested in compound interest becomes Rs.700 in 3 years.
The amount will double again in another 3 years.
i.e., the amount will become Rs.1400 in another 3 years.
So, to earn another Rs.700 interest, it will take another 3 years.
Answer D
Answer: (D) 3 years
Question: Which of the following numbers should not be included in the set?
331, 482, 551, 263, 381, 242, 111
(A) 263
(B) 381
(C) 242
(D) 111
(E) None of these
Rationale: Solution
In each number except 381,the product of first and third digits is the middle one. Answer B
Answer: (B) 381
Question: Find the highest common factor of 36 and 84.
(A) 4
(B) 6
(C) 12
(D) 16
(E) 18
Rationale: 36 = 22 x 32
84 = 22 x 3 x 7
H.C.F. = 22 x 3 = 12.
Answer: Option C
Answer: (C) 12
Question: A car ferry can hold up to 60 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 5 tons?
(A) 10
(B) 12
(C) 16
(D) 18
(E) 20
Rationale: The weight of one car and one truck is 5.75 tons.
60/5.75 = 10 plus a remainder
The ferry could carry 10 cars and 10 trucks for a total of 20 vehicles.
The answer is E.
Answer: (E) 20
Question: A and B complete a work in 10 days. A alone can do it in 40 days. If both together can do the work in how many days?
(A) 1.0875 days
(B) 0.125 days
(C) 0.0675 days
(D) 0.0875 days
(E) 0.0775 days
Rationale: 1/10 + 1/40 = 0.125 days
ANSWER:B
Answer: (B) 0.125 days
Question: What will be the ratio of simple interest earned by certain amount at the same rate of interest for 4 years and that for 9 years?
(A) 1 : 3
(B) 2 : 3
(C) 1 : 2
(D) 4 : 9
(E) 1 : 4
Rationale: Let the principal be P and rate of interest be R%.
Required ratio =
(P x R x 4)/100 DIVIDED BY	(P x R x 9)/100
=	4PR/9PR	=	4/9	= 4 : 9.
ANSWER : D
Answer: (D) 4 : 9
Question: Hitesh is 40 years old and Ronnie is 60years old. How many years ago was the ratio of their ages 3:5?
(A) 10
(B) 15
(C) 20
(D) 8
(E) 12
Rationale: Suppose the ratio was 3:5, x years ago
40-x / 60-x = 3/5
5(40-x) = 3(60-x)
x = 10
Answer is A
Answer: (A) 10
Question: Peter mixed 24 kg of butter at $150 per kg with 36 kg butter at the rate of $125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
(A) $156
(B) $177
(C) $189
(D) $190
(E) $153
Rationale: C
$189
CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = $135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = $189.
Answer: (C) $189
Question: The largest number amongst the following that will perfectly divide 101100 – 1 is?
(A) 9000
(B) 91000
(C) 10000
(D) 11000
(E) 12000
Rationale: The easiest way to solve such problems for objective exam purposes is trial and error or by back
substituting answers in the choices given.
1012 = 10,201
1012 − 1 = 10,200.
This is divisible by 100.
Similarly try for 1013 − 1 = 1,030,301−1 = 1,030,300.
So you can safely conclude that (1011 − 1) to (1019 − 1) will be divisible by 100.
(10110 − 1) to (10199 − 1) will be divisible by 1000.
Therefore, (101100 − 1) will be divisible by 10,000
C)
Answer: (C) 10000
Question: Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
(A) A)1055
(B) B)1075
(C) C)1065
(D) D)1235
(E) E)1080
Rationale: Cost of 8 kg grapes = 70 × 8 = 560.
Cost of 9 kg of mangoes = 75 × 9 = 675.
Total cost he has to pay = 560 + 675 = 1235.
D)
Answer: (D) D)1235
Question: If a family spends 40 percent of its household budget on rent and utilities, 30 percent to food, and 20 percent on other bills, what fraction of their monthly budget is available for savings ?
(A) 4/5
(B) 1/10
(C) 3/5
(D) 1/10
(E) 3/10
Rationale: 100%-(40%+30%+20%)=10% of the budget is available --> 10% = 10/100 = 1/10.
Answer: D.
Answer: (D) 1/10
Question: A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
(A) 5
(B) 6
(C) 7
(D) 7
(E) 1
Rationale: US = 25
DS = 35
M = (35 - 25)/2 = 5
Answer: A
Answer: (A) 5
Question: A rectangular tiled patio is composed of 40 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 40 tiles, and it will still be rectangular. How many rows are in the tile patio before the change in layout?
(A) 5
(B) 6
(C) 10
(D) 13
(E) 28
Rationale: r*c=70 and (6+4)(c-2)=70 --> r=6 and c=6.
Answer: B.
Answer: (B) 6
Question: krishna has 20 apples.ram has 15 apples. Totally how many apples they have in all?
(A) 15
(B) 25
(C) 55
(D) 15
(E) 35
Rationale: 20+15=35. Answer is E
Answer: (E) 35
Question: Ram is able to sell a hand-carved statue for $770 which was a 10% profit over his cost. How much did the statue originally cost him?
(A) $496.30
(B) $512.40
(C) $555.40
(D) $700
(E) $588.20
Rationale: Cost price = 770/110*100 = 700
Answer : D
Answer: (D) $700
Question: n a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/4 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
(A) 62
(B) 63
(C) 64
(D) 66.66
(E) 65
Rationale: Given :-
Violets - C/3
Carnations - C
Tulip - C/12
Rose - C/12
Total flowers in terms of C = C/3+C+C/12+C/12 = 18C/12
Percentage of Carnations = C/3C/2 *100 =66.66%
Answer D
Answer: (D) 66.66
Question: PZQW : NXOU :: FISK :?
(A) EFPJ
(B) FERI
(C) DGQI
(D) HKUM
(E) HKUN
Rationale: Difference of one alphabet on each side of proportion term. Answer is thus DGQI
ANSWER:C
Answer: (C) DGQI