mathewhe/aqua_rat huggingface dataset:
Question: If an amount of Rs.142136 is distributed equally amongst 163 persons, how much amount would each person get?
(A) Rs.862
(B) Rs.872
(C) Rs.882
(D) Rs.892
(E) None of these
Rationale: Explanation:
Amount each person would get = Rs.142136/163 = Rs.872
Answer: Option B
Answer: (B) Rs.872
Question: There are 12 teachers in a school. If the average age of the teachers is 36, what will be the new average age if a 30 year old teacher joins the school?
(A) 35.54
(B) 34.52
(C) 32.3
(D) 35
(E) 34.44
Rationale: (sum of the 12 ages)/12 = 36
sum of the 12 ages = 432
new sum = 432+30 = 462
new average = 462/13 = 35.54
ans: A
Answer: (A) 35.54
Question: How many numbers from 10 to 100000 are exactly divisible by 9?
(A) 900
(B) 11110
(C) 1100
(D) 1200
(E) 1400
Rationale: 10/9 = 1 and 100000/9 =11111 ==> 11111 - 1 = 11110.
Answer : B
Answer: (B) 11110
Question: A student committee that must consists of 3 members is to be formed from a pool of 9 candidates. How many different committees are possible
(A) 5
(B) 8
(C) 40
(D) 56
(E) 84
Rationale: Out of 9 people, any 3 can be selected for a committee. So 9c3=84 is the answer.
E
Answer: (E) 84
Question: 2 men and 4 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
(A) 12
(B) 15
(C) 18
(D) 21
(E) 48
Rationale: The list should be WMWMW. Hence, from women 4! And men 2!, we get (4!)(2!)=48. Therefore, the correct answer is E.
Answer: (E) 48
Question: The average of all odd numbers up to 200 is
(A) 50
(B) 100
(C) 120
(D) 75
(E) 80
Rationale: The numbers are 1,3,5,7,--------,197,199
Average = (199-1)/2 + 1 = 100
Answer is B
Answer: (B) 100
Question: A rectangular swimming pool is 10 feet by 12 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 360 square feet. What is the width of the deck?
(A) 7
(B) 2
(C) 3
(D) 4
(E) 6
Rationale: Let the width =W
Total Area of the pool and deck= (2W+10)(2W+12)
We can Test the answer choices along with unit digit method
A) 2 feet ...........14*16 has unit digit 4..........Eliminate
B) 2.5 feet.........15*17 has unit digit 5..........Eliminate
C) 3 feet............16*18 has unit digit 8...........eliminate
D) 4 feet............18*20 has unit digit 0...........hold
E) 5 feet............20*22 has unit digit 0...........Eliminate ( bigger size)
Answer:D w=4
Answer: (D) 4
Question: A day-trader plans to invest a total of $23,400 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
(A) $2,200
(B) $3,000
(C) $3,500
(D) $3,800
(E) $3,900
Rationale: We can also just keep track of theHUNDREDS DIGITS(since the hundreds digit is different for each answer choice).
Total of 14 minimized investments = (14)(1400) = $???600
The 15th investment + $???600 = $23,400
So, theHUNDREDS DIGITSof the 15th investment must be 8
Answer: D
Answer: (D) $3,800
Question: 16, 23, 19, 19, 22, 15, 25, ?
What number should replace the question mark?
(A) 13
(B) 11
(C) 16
(D) 18
(E) 19
Rationale: B
11
There are two alternate sequences: +3 and â€“4;
Answer: (B) 11
Question: The sum of two consecutive number is 49. Which is the larger number?
(A) 42
(B) 43
(C) 25
(D) 45
(E) 46
Rationale: Let consecutive number be x, x+1
Therefore sum of the consecutive number is x + x+1=49
2x+1=49
2x=48
x=24
Therefore larger number is x+1=25
ANSWER:C
Answer: (C) 25
Question: If 0 < a < b and k = (4a + 3b)/b , which of the following must be true?
(A) k < 2
(B) k < 7
(C) k > 19
(D) k > 9
(E) k > 11
Rationale: Please follow posting guidelines (link in my signature) especially writing the correct topic title. Also do mention the source of the question if you select the tag:Source-Other Please Specify.
As for your question, it is very simple and straightforward with number plug in.
Assume a=1 and b=2 as a < b, you get k = (4+6)/2 =5. This eliminates all but option B , making it the correct answer.
Answer: (B) k < 7
Question: the sum of 2nd and 19th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0
(A) 11th
(B) 12th
(C) 13th
(D) 14th
(E) 15th
Rationale: t2 + t19 = t8 + t15 + t12
=> a+d + a+18d = a+7d + a+14d + a+11d
=> a + 13d = 0
=> t14 = 0 i.e. 14th term is zero.
ANSWER:D
Answer: (D) 14th
Question: How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?
(A) 52
(B) 55
(C) 57
(D) 60
(E) 63
Rationale: Selling Price(SP) of 1 kg mixture= Rs. 9.24
Profit = 10%
Cost Price(CP) of 1 kg mixture =100(100+Profit%)×SP
=100(100+10)×9.24=100110×9.24=92.411= Rs.8.4
By rule of alligation,
CP of 1 kg sugar of 1st kind CP of 1 kg sugar of 2nd kind
Rs. 9 Rs. 7
Mean Price
Rs.8.4
8.4 - 7 = 1.4 9 - 8.4 = 0.6
i.e., to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the ratio 1.4 : 0.6 = 14 : 6 = 7 : 3
Suppose x
kg of kind1 sugar is mixed with 27 kg of kind2 sugar.
then x : 27 = 7 : 3
⇒3x=27×7⇒x=9×7=63
E
Answer: (E) 63
Question: A chair is bought for Rs.600/- and sold at a loss of 5% find its selling price
(A) s.570/-
(B) s.550/-
(C) s.560/-
(D) s.590/-
(E) s.580/-
Rationale: 100 % ------> 600 (100 * 6 = 600)
95 % ------> 540 (95 * 6 = 570)
Selling price = Rs.540/-
A)
Answer: (A) s.570/-
Question: A can do a certain job in 12 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) 5 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 :: 12 : x = 8x = 5 x 12 =x = 7 1/2 days.
Answer is A.
Answer: (A) 7 1/2 days
Question: At a constant Rate of flow, it takes 120 minutes to fill a swimming pool if a large hose is used and 180 minutes if a small hose is Used. At these constant rates, how many minutes will it take to fill the pool when both hoses are used simultaneously?
(A) 52
(B) 54
(C) 56
(D) 58
(E) 72
Rationale: time taken to fill the pool by Large Hose =120 minutes =L or 1/L=1/120 similarly 1/S=1/180
simultaneously it will take 1/L+1/S=1/120+1/180=5/360=72 minutes
Answer : E
Answer: (E) 72
Question: In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1365, and if 1< p < q < r < s, how many students in the class are strategy majors?
(A) 3
(B) 5
(C) 8
(D) 11
(E) 13
Rationale: pqrs = 1365 = 3 * 5 * 7 * 13
Since 1< p < q < r < s, the number of students who are strategy majors is s = 13.
The answer is E.
Answer: (E) 13
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
(A) Rs. 3(2/9)
(B) Rs. 2(2/9)
(C) Rs. 2(1/9)
(D) Rs. 2(2/7)
(E) Rs. 2(3/7)
Rationale: Here r = 10 % ,x = 100 and A = 5 kg
Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)
B
Answer: (B) Rs. 2(2/9)
Question: Sudhir started a business with Rs.60,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
(A) 3:1
(B) 2:3
(C) 4:3
(D) 3:4
(E) 3:5
Rationale: 60000*12:60000*(12-8)
=720000 :240000
=3:1
ANSWER:A
Answer: (A) 3:1
Question: If A> 0 and A is divisible by the product of the first nine positive integers, all of the following must be factors of A except
(A) 35
(B) 40
(C) 63
(D) 315
(E) 704
Rationale: A is divisible by 9!,which is 1*2*3*4*5*6*7*8*9
A=(9!) * some number
A. 35 = 5*7 so will divide A
B. 40 =5*8 so will divide A
C. 63 =9*7 so will divide A
D. 315 =5*7*9 so will divide A
E. 704 =8*8*11 This will not divide A
Ans E
Answer: (E) 704
Question: How many minutes does Aditya take to cover a distance of 400 m, if he runs at a speed of 20 km/hr
(A) 115min
(B) 215min
(C) 315min
(D) 415min
(E) None of these
Rationale: ExplanaƟon:
We know that,
Time=DistanceSpeedSpeed=20 km/hr=20
∗
518m/sec=509m/sec Time =(400
∗
950)=72sec=115min
Answer: OpƟon A
Answer: (A) 115min
Question: A train has a length of 150 metres. It is passing a man who is moving at 2 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
(A) 152 km/hr
(B) 178 km/hr
(C) 182 km/hr
(D) 172 km/hr
(E) 142 km/hr
Rationale: Length of the train = 150 m
Speed of the man =2 km/hr
Relative speed = 153/3=50 m/s
=50Ã—18/5=180 km/hr
Relative speed = Speed of train - Speed of the man (as both are moving in the same direction).
Therefore,Speed of the train = Relative speed + Speed of the man=180+2=182 km/hr
ANSWER:C
Answer: (C) 182 km/hr
Question: A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the letters A, B, or C?
(A) 10,494
(B) 11,585
(C) 12,696
(D) 13,787
(E) 14,898
Rationale: The number of two-letter codes is 23*23=529.
The number of three-letter codes is 23*23*23=12,167.
The total number of codes is 529+12,167=12,696.
The answer is C.
Answer: (C) 12,696
Question: If ‘HYDERABAD’ is coded as ‘FWBCPYZYB’, then ‘MUMBAI’ is coded as
(A) KSKZYG
(B) EDYHGG
(C) GYTHNK
(D) RTFGBKJ
(E) TGFRbH
Rationale: H= 8 = 8-2 = 6 = F
Y = 25 = 25-2= 23= W
SIMILARLY,
M=13= 13-2 = 11 =K
U = 21 = 21-2 =19 =S
B = 2 =28 -2 =26 = Z
A = 1 = 27 -2 = 25 = Y
I = 9 = 9-2 =7 = G
SO ANS IS
KSKZYG
Answer: (A) KSKZYG
Question: In a game of 60 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 22?
(A) can give C 1 points
(B) can give C 4 points
(C) can give C 2 points
(D) can give C 6 points
(E) can give C 8 points
Rationale: A: B = 60 : 55, A : C = 60 : 45.
B/C = ( B/ A * A/C) = (55 / 60 * 60 / 45) = 11/9 = 22 /18
Therefore ,In a game of 22, B can give C 4 points.
Answer is B.
Answer: (B) can give C 4 points
Question: A train crosses a platform 100 m long in 60 seconds at a speed of 45 km/hr. The time taken by the train to cross an electric pole is :
(A) 8 sec
(B) 52 sec
(C) 1 minute
(D) Data inadequate
(E) None of these
Rationale: Explanation:
Speed = (45 *5/18)m/sec =25/2m/sec
Let the length of the train be x metres.
Then,x+100 / 25/2 =60 or x=650m
Time, taken by the train to cross an electric pole = (650 *2/25)sec = 52 sec.
ANSWER IS B
Answer: (B) 52 sec
Question: Find a two digit number, given that the sum of the digits is 12 and the difference of the digits is 6.?
(A) 41
(B) 46
(C) 42
(D) 46
(E) 47
Rationale: Using elimination method find which of the options fit the description of the number
... from the option only 41 meets this description
sum of digits---4+1 = 5
difference of digits ---4-1 = 3
Answer A.
Answer: (A) 41
Question: Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is:
(A) 5000
(B) 4500
(C) 5400
(D) 5600
(E) 6000
Rationale: Let the investment 9% stock rs x
then investment in 10% stock = rs(9800-x)
9/75 xx = 10/80 *(9800-x)
3x/25 = 9800 - x
x=5000
ANSWER A
Answer: (A) 5000
Question: If y = 2 + 2K and y≠0y≠0, then 3/y + 2/y + 2/y + 1/y = ?
(A) 1/(8+8k)
(B) 4/(1+k)
(C) 1/(8+k)
(D) 4/(8+k)
(E) 4/(1+k)
Rationale: 3/Y + 2/Y + 2/Y + 1/Y
= 8/Y
= 8/(2 + 2K)
= 4/(1 + K)
ANSWER:B
Answer: (B) 4/(1+k)
Question: A family pays $850 per year for an insurance plan that pays 80 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
(A) $1,000
(B) $1,250
(C) $1,400
(D) $1,800
(E) $2,200
Rationale: Upfront payment for insurance plan = 850$
Family needs to pay 20 % of first 1000 $ in expense = 200$
Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 850 + 200 = 1050 $
Total amount paid by insurance plan for first 1000 $ = 850 $
Total amount paid by family will equal amount paid by plan when medical expense = 1250 $
(Since insurance plan will pay 100% of amount that exceeds 1050$ )
Answer B
Answer: (B) $1,250
Question: Find the greatest number which leaves the same remainder when it divides 16, 46 and 82.
(A) 18
(B) 8
(C) 12
(D) 16
(E) None of these
Rationale: 82 - 46 = 36
46 - 16 = 20
82 - 16 = 66
The H.C.F of 20, 36 and 66 is 2.
ANSWER:E
Answer: (E) None of these
Question: How many different ways can you select a pilot and a co pilot if you have 60 people to choose from?
(A)  199
(B)  200
(C)  398
(D)  4950
(E)  3540
Rationale: You are not just choosing two from 60. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.
So the answer is in a sense (60C2) x 2 = 3540=E
Answer: (E)  3540
Question: When positive integer x is divided by positive integer y, the remainder is 3. If x/y = 96.15, what is the value of y?
(A) 96
(B) 75
(C) 48
(D) 25
(E) 20
Rationale: by the definition of a remainder, the remainder here is equal to 3/y. the remainder in decimal form is given as .15
therefore, 3/y = .15
solve for y and get 20.
E
Answer: (E) 20
Question: The square root of (7 + 3âˆš5) (7 - 3âˆš5) is
(A) âˆš5
(B) 2
(C) 4
(D) 3âˆš5
(E) 5
Rationale: Explanation:
âˆš(7 + 3âˆš5)(7 - 3âˆš5)	=	âˆš(7)2 - (3âˆš5)2 = âˆš49 - 45 = âˆš4 = 2.
ANSWER IS B
Answer: (B) 2
Question: The diagonals of a rhombus are 12 cm and 20 cm. Find its area?
(A) 329
(B) 288
(C) 120
(D) 238
(E) 31
Rationale: 1/2 * 12 * 20 = 120
Answer: C
Answer: (C) 120
Question: If X = the product of six distinct prime numbers, how many factors does X have besides 1 and itself?
(A) 50
(B) 56
(C) 62
(D) 68
(E) 74
Rationale: Since X has 6 distinct prime factors, X has a total of 2^6 = 64 factors.
Besides 1 and itself, X has 62 factors.
The answer is C.
Answer: (C) 62
Question: 180 college students were asked in a survey if they preferred Windows or Mac brand computers. 50 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 60 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
(A) 25
(B) 70
(C) 50
(D) 60
(E) 75
Rationale: 180 = 50(Mac) + x(Window) + 60(both) => x=70
ANSWER:B
Answer: (B) 70
Question: An article is bought for Rs.750 and sold for Rs.700, find the loss percent?
(A) 6 2/5%
(B) 6 2/9%
(C) 6 5/3%
(D) 6 3/3%
(E) 6 2/3%
Rationale: 750 ---- 50
50 ---- ? => 6 2/3%
Answer: E
Answer: (E) 6 2/3%
Question: Two integers x and y are chosen without replacement out of the set {1, 2, 3,......, 10}. Then the probability that x^y is a single digit number.
(A) 11/90
(B) 13/90
(C) 17/90
(D) 19/90
(E) 23/90
Rationale: it can take 9 values when x=1..
it can take another 8 values when y=1..
when x=2, y=3 as other values already considered..
when x=3, y=2 as other values already considered.. total-19 values so prob=19/90
ANSWER:D
Answer: (D) 19/90
Question: A box contains Six bulbs out of which five are defective. If five bulbs are chosen at random, find the probability that all the four bulbs are defective?
(A) 1/127
(B) 1/129
(C) 1/12
(D) 1/8
(E) 1/6
Rationale: Out of six, one are good and five are defective. Required probability
= 5C5/6C5
= 1/6
Answer: E
Answer: (E) 1/6
Question: There are 3 black cards, 2 white cards, and 7 green cards, in a box. What is the least number of cards that you have to pull out to make sure that you will have a matching pair?
(A) 8
(B) 4
(C) 5
(D) 12
(E) 11
Rationale: Since there are 3 colors, if you take 3 cards, you could still have 1 card per color and not have a match.
Therefore, upon taking the 4th card, you will definitely have a match since the 4th card will form at least a pair with the 1st 3
So 3+1 = 4
Answer is B
Answer: (B) 4
Question: A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $18 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
(A) $25
(B) $26
(C) $27
(D) $28
(E) $29
Rationale: Let x be the price that buyers see online.
The distributor wants to receive 1.2(original price) which should be 80% of x.
1.2(18) = 0.8x
x = 1.2(18) / 0.8 = 1.5(18) = $27
The answer is C.
Answer: (C) $27
Question: If a - b = 3 and a^2 + b^2 = 29, find the value of ab.
(A) 5
(B) 10
(C) 12
(D) 14
(E) 15
Rationale: 2ab = (a^2 + b^2) - (a - b)^2
= 29 - 9 = 20
ab = 10.
B)
Answer: (B) 10
Question: An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 50 miles per hour, then 60 miles per hour, then 80 miles per hour. If the test took 30 hours to complete, how many miles was the car driven during the entire test?
(A) 1500
(B) 1830
(C) 1645
(D) 1562
(E) 1600
Rationale: let x be the distance..
so time taken by three cars is x/50,x/60,x/80... total time taken= x/50+x/60+x/80=x*59/1200 =30(given)
x=610... total =3x=1830
Answer is B
Answer: (B) 1830
Question: The ratio of the money with Rita and Sita is 7:15 and that with Sita and Kavita is 7:16. If Rita has $490, how much money does Kavita have?
(A) $1500
(B) $1800
(C) $2000
(D) $2400
(E) $2600
Rationale: Rita : Sita : Kavita
7 : 15
7 : 16
49 : 105 : 240
The ratio of money with Rita, Sita and Kavita is 49:105:240
We see that 49 = $490
Then 240 = $ 2400
Answer is D
Answer: (D) $2400
Question: In August,a cricket team that played 120 matches won 22% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average?
(A) 40
(B) 52
(C) 68
(D) 75
(E) 98
Rationale: let the no of matches played more=x
so,
(120+x)*52/100=26.4+x
by solving we get x=75
ANSWER:D
Answer: (D) 75
Question: What is the least number that should be added to 1055, so the sum of the number is divisible by 23?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: (1055 / 23) gives a remainder 20 so we need to add 3.
The answer is C.
Answer: (C) 3
Question: Mr. Smith calculated the average of 10three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 49.5. The difference between the unit digit and hundreds digit of that number is :
(A) a) 4
(B) b) 3
(C) c) 2
(D) d) 1
(E) e) 5
Rationale: Since the average increased by 49.5 and there were a total of 10 numbers, it means the incorrect number was 495 greater than the correct number.
Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)
Then the incorrect number was cba.
100c + 10b + a - (100a + 10b + c) = 495
99c - 99a = 99(c - a) = 495
495 = 99*5 = 99(c - a)
So c - a = 5
Answer (E)
Answer: (E) e) 5
Question: If (5 - x)/(5 + x) = x, what is the value of x^2 + 6x - 5?
(A) -6
(B) -4
(C) -2
(D) 0
(E) 3
Rationale: (5-x) = x*(5+x)
(5-x) = 5x+x^2
0 = x^2+6x-5
The answer is D.
Answer: (D) 0
Question: If x and a are integers and (15^x + 15^(x+1))/4^a = 15^a what is the value of x?
(A) 2
(B) 3
(C) 4
(D) 5
(E) Cannot be determined
Rationale: \frac{15^x( 1+ 15)}{4^a} = 15^a
(15^x . 4^2 ) / 4^a = 15^a. 4^0
15^x . 4^(2-a) = 15^a. 4^0
Equating the powers, x = a; 2-a = 0; So x = a = 2=A
Answer: (A) 2
Question: If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
(A) 1/4
(B) 1/2
(C) 1/8
(D) 1/6
(E) 1/1
Rationale: The number of exhaustive outcomes is 36.
Let E be the event of getting an even number on one die and an odd number on the other. Let the event of getting either both even or both odd then = 18/36 = 1/2
P(E) = 1 - 1/2 = 1/2.
Answer: B
Answer: (B) 1/2
Question: Pointing to a girl in the photograph, Amar said, "Her mother's brother is the only son of my mother's father." How is the girl's mother related to Amar ?
(A) Mother
(B) Sister
(C) Aunt
(D) Grandmother
(E) Brother
Rationale: Explanation:
Only son of Amar's mother's father — Amar's maternal uncle.
So, the girl's maternal uncle is Arnar's maternal uncle. Thus, the girl's mother is Amar's aunt.
Answer: C
Answer: (C) Aunt
Question: Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes.
How much time will it take Roy to consume all the five tablets?
(A) 60 min
(B) 50 min
(C) 70 min
(D) 65 min
(E) 80 min
Rationale: A
60 min
Roy will be able to consume all the five tablets in an hour.
Tablet 1 will be taken in 0 min.
Tablet 2 will be taken in 15 min.
Tablet 3 will be taken in 30 min.
Tablet 4 will be taken in 45 min.
Tablet 5 will be taken in 60 min.
Answer: (A) 60 min
Question: In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks C are made of cotton?
(A) 100
(B) 80
(C) 60
(D) 50
(E) 25
Rationale: I'll prefer to solve this with plug n play method.
As we know, White Cotton socks are only 25% and Total Cotton socks is 60% - Hence Black Cotton socks C has to be [highlight]HIGH[/highlight]number. Thats why we've to pick high number... say 100 or 80.
100 fits perfectly after relevant calculations. Hence answer A.
Answer: (A) 100
Question: The speed of a boat in still water is 80kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?
(A) 76,28 kmph
(B) 110,30 kmph
(C) 29,25 kmph
(D) 26,10 kmph
(E) 12,15 kmph
Rationale: Speed downstream = 80 + 30
= 110 kmph
Speed upstream = 80 - 30
= 50 kmph
Answer: B
Answer: (B) 110,30 kmph
Question: On flipping 3 coins together what is the outcomes for at least two heads?
(A) {HHH, HHT, HTH, THH}
(B) {HHT, HHT, HTH, THH}
(C) {TTH, HHT, HTH, THH}
(D) {TTT, HHT, HTH, THH}
(E) None
Rationale: Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Favorable outcomes for at least two heads
= favorable outcomes for exactly two heads and favorable outcomes for more than two heads
= {HHH, HHT, HTH, THH}
A
Answer: (A) {HHH, HHT, HTH, THH}
Question: The length of a rectangular field is 7/5 its width. If the perimeter of the field is 360 meters, what is the width of the field?
(A) 50
(B) 60
(C) 70
(D) 80
(E) 75
Rationale: Let L be the length and W be the width. L = (7/5)W
Perimeter: 2L + 2W = 360, 2(7/5)W + 2W = 360
Solve the above equation to find: W = 75 m and L = 105 m.
correct answer E)75
Answer: (E) 75
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
(A) 331/8%
(B) 331/3%
(C) 381/3%
(D) 231/3%
(E) 361/3%
Rationale: 100
150
------
150-------50
100-------? => 331/3%
Answer: B
Answer: (B) 331/3%
Question: Rs. 730 were divided among Punith, Michael, Suresh in such a way that if Punith gets Rs. 3, then Michael gets Rs. 4 and if Michael gets Rs. 3.50 then Suresh gets Rs. 3. The share of Michael exceeds that of Suresh by
(A) Rs 30
(B) Rs 40
(C) Rs 70
(D) Rs 210
(E) Rs 310
Rationale: Explanation :
Let A = Punith, B = Michael, C = Suresh.
A:B = 3:4 and B:C = 7/2:3 = (8/7)*(7/2)*(8/7)*3 = 4:(24/7)
A : B : C = 3 :4: 24/7 = 21 : 28 : 24.
Bs share = Rs. [730 *(28/73)]= Rs. 280.
Cs share = Rs. [730 * (24/73)] = Rs. 240.
Difference of their shares = 40
Answer : B
Answer: (B) Rs 40
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 6 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
(A) 11:54:40 AM
(B) 11:56:24 AM
(C) 12:16:40 PM
(D) 11:54:24 AM
(E) 12:06:36 PM
Rationale: Clock loses: 1 minute in 3 hours = 8 minutes in 24 hours = 32 minutes in 4 days.
Clock gains: 1% in the subsequent 6 days = 1% in 6*24*60 minutes = 86.40 minute in 6 days;
Net gain in 10 days = 86.40 - 32 = 54.4 minutes.
11AM + 54.4 minutes = 11:54 and 4/10th of a minute or 24 seconds.
Answer: D.
Answer: (D) 11:54:24 AM