mathewhe/aqua_rat huggingface dataset:
Question: Tim and Élan are 180 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan?
(A) 130 miles.
(B) 135 miles.
(C) 145 miles.
(D) 120 miles.
(E) 165 miles.
Rationale: Tim and Elan will meet at the same time while their ratio of speed is 2:1 respectively.So their individual distance traveled ratio will be same.
Plugging in the answer choice Only Answer Choice D meet the 2:1(Tim:Elan=120:60) ratio of maintaining total distance traveled 180 miles
SoCorrect answer D
Answer: (D) 120 miles.
Question: A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
(A) 33
(B) 77
(C) 48
(D) 99
(E) 21
Rationale: Speed on return trip = 150% of 40 = 60 km/hr.
Average speed = (2 * 40 * 60)/(40 + 60) = 48 km/hr.
Answer:C
Answer: (C) 48
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 8 seconds. What is the length of the fast train?
(A) 23 m
(B) 44 (4/9)m
(C) 27 (7/9)m
(D) 29 m
(E) 28 m
Rationale: Relative speed = (40 - 20) km/hr =	(20 x(5/18))m/sec =	(50/9)m/sec.
Therefore Length of faster train =	((50/9)	x 8) m =	(400/9)m = 44	(4/9)	m.
B
Answer: (B) 44 (4/9)m
Question: If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
(A) 2,3
(B) 1/2,3
(C) 3,5
(D) 7,9
(E) 4,3
Rationale: Explanation:
Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the roots: 6a2 = b/2 => b = 12a2
a = 1/2, b = 3.
Answer B
Answer: (B) 1/2,3
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
(A) 15
(B) 30
(C) 36
(D) 45
(E) 54
Rationale: no of women be A
no of men be B
in city X -> A=B/2-----(1)
in city Y -> A+5=B-10
B-A=15
from 1 B=2A sub in above equation
2A-A=15
A=15 means B=30
in the beginning no of passengers entered the bus is A+B=30+15=45
ANSWER:D
Answer: (D) 45
Question: If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
(A) -21
(B) 1
(C) 61
(D) 21
(E) None of these
Rationale: a2 + b2 + ab = a2 + b2 + 2ab - ab
i.e., (a + b)2 - ab
from x2 - 9x + 20 = 0, we have
a + b = 9 and ab = 20. Hence the value of required expression (9)2 - 20 = 61.
ANSWER:C
Answer: (C) 61
Question: 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit
(A) 100/7
(B) 100/9
(C) 100/2
(D) 100/6
(E) 100/3
Rationale: Explanation:
C.P. of 100 orange=350
S.P. of 12 is 48 i.e, 4 of each now of 100 will be 400
So profit = 400 – 350 = 50
profit = profit×100%cpprofit×100%cp i.e 100/7% gain
Answer:A
Answer: (A) 100/7
Question: The average weight of 10 men is increased by 2 ½ kg when one of the men who weighs 68 kg is replaced by a new man. What is the weight of the new man?
(A)  80 kg
(B)  93 kg
(C)  70 kg
(D)  75 kg
(E)  85 kg
Rationale: Since the average has increased by 1.5 kg, the weight of the man who stepped in must be equal to 68+10x2.5
68+25=93 Kg
Ans: 'B'
Answer: (B)  93 kg
Question: If (t-8) is a factor of t^2-kt-46, then k=
(A) 16
(B) 12
(C) 2
(D) 6
(E) 14
Rationale: t^2-kt-48 = (t-8)(t+m) where m is any positive integer.
if 48/8 = 6, then we know as a matter of fact that:
m = +6
and thus k = 8-6 = 14
t^2-kt-m = (t-a)(t+m) where a>m
t^2+kt-m = (t-a)(t+m) where a<m
t^2-kt+m = (t-a)(t-m)
E
Answer: (E) 14
Question: A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?
(A) 79.0
(B) 79:9
(C) 79.1
(D) 79.2
(E) 79.4
Rationale: Let the length of the train be x metres and its speed by y m/sec.
Then,
Now,
8y + 264 = 20y
y = 22.
Speed = 22 m/sec =km/hr = 79.2 km/hr.
Answer: D) 79.2 km/hr
Answer: (D) 79.2
Question: If 6,15 and 24 are factors of T, which of the following is the largest number that must divide evenly into T?
(A) 30
(B) 48
(C) 60
(D) 80
(E) 120
Rationale: You can verify which the following numbers are divisible by 6,15,24 simultaneously
By elimination you will find that only the number 120 satisfies this condition.
So, the answer is E.
Answer: (E) 120
Question: A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 118 runs, thereby increasing his average by 6 runs. His new average is
(A) 58 runs
(B) 28 runs
(C) 48 runs
(D) 42 runs
(E) 46 runs
Rationale: Explanation:
Let average for 10 innings be x. Then,
(10x + 118)/11 = x + 6 => 11x + 66 = 10x + 118 => x = 52.
New average = (x + 6) = 58 runs.
Answer: A
Answer: (A) 58 runs
Question: When a certain number 'x' is multiplied bt 18, the product 'y' has all digits as 4s. what is the minimum number of digits 'x' can have?
(A) 8
(B) 9
(C) 12
(D) 14
(E) 18
Rationale: 18=9*2
444......4/9*2 = 22222....2/9
to be completely divisible sum of all 2's should be a multiple of 9(divisibility test for 9)
so it should have 9 digit (2+2+2+2+2+2+2+2+2=18)
ANSWER:B
Answer: (B) 9
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
(A) 1.6
(B) 1.2
(C) 1.7
(D) 1.5
(E) 1.3
Rationale: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x =1.5
Answer:D
Answer: (D) 1.5
Question: Find the largest 7 digit number which is exactly divisible by 88?
(A) 9998765
(B) 9998907
(C) 9999944
(D) 9999954
(E) 9999968
Rationale: Largest 7 digit number is 9999999
After doing 9999999 ÷ 88 we get remainder 31
Hence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968
E
Answer: (E) 9999968
Question: How many ways are there to award a gold, silver and bronze medal to 10 contending teams?
(A) 10 × 9 × 8
(B) 10!/(3!7!)
(C) 10!/3!
(D) 360
(E) 300
Rationale: we clearly know that there can be only one winning team which deserves the gold medal. we can do the selection in 10 ways
if gold medal is given to 1 of the teams then only possible 9 teams can be considered for silver medal. we can do selection in 9 ways
similarly if gold and silver medals are awarded then only remaining 8 teams can be considered for a bronze medal. we can do the selection in 8 ways
Total number of ways to select the 3 possible medal winners = 10 * 9 * 8
Correct answer - A
Answer: (A) 10 × 9 × 8
Question: Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2000 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
(A) $3,750
(B) $5,600
(C) $8,100
(D) $18,000
(E) $22,500
Rationale: x=8%
112/x years=112/8=14 years
Now, money triples every 14 years
Therefore, in 14 yrs , if $2000 triples to $6000, in 28 years, it will again triple to $6000*3=$18,000
Answer D
Answer: (D) $18,000
Question: A train speeds past a pole in 15 sec and a platform 130 m long in 25 sec, its length is?
(A) 50 m
(B) 150 m
(C) 195 m
(D) 300 m
(E) None of these
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 130)/25 = x/15 => x = 195 m.
ANSWER:C
Answer: (C) 195 m
Question: If E is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of E?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: E = 30!
8
E = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Out of these 30 , 27 , 24 , 21 , 18, 15 , 12 , 09 , 06 , 3 are factors of 3
3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2, 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3
So we have a total of 14 three's ...
Therefore the maximum value of K can be 14 (C)
Answer: (C) 14
Question: Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is :
(A) 8400
(B) 2288
(C) 7767
(D) 2998
(E) 2771
Rationale: Explanation:
Ratio of their shares = 22500 : 35000 = 9 : 14.
Deepak's share = Rs. (13800 * 14/23) = Rs. 8400.
Answer: A) 8400
Answer: (A) 8400
Question: A can do a work in 25days and B can do the same work in 20days. They work together for 5days and then A goes away. In how many days will B finish the work?
(A) 9/15days
(B) 11/20days
(C) 13/17days
(D) 7/15days
(E) 1/5days
Rationale: A+B can do the work in 5days = 5( 1/25 + 1/20) = 5*45 / 25*20 = 9/20
Rest of the work = 1 - 9/20 = 11/20
B will do the rest of the work in = 1 - 9/20 = 11/20days
Answer is B
Answer: (B) 11/20days
Question: If 6 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
(A) 6 × 5 × 4 × 3 × 2 × 1
(B) 6 × 5 × 4 × 3 × 2 × 1
(C) 6 x 5
(D) 15
(E) 45
Rationale: 1st person will have 5 handshakes, 2nd will have 4, ....5th will have 1 and 6th will have 0
= 5+4+3+2+1 = 15
if we generalize this: if there are n people then there will be n(n-1)/2 handshakes.
Ans.D)
Answer: (D) 15
Question: What could be the range of a set consisting of odd multiples of 7?
(A) 21
(B) 24
(C) 35
(D) 62
(E) 70
Rationale: A set of odd multiples of 7 would be something like 7, 21, 35, 49....
The range would always be an even number multiple of 7.
ANSWER:E
Answer: (E) 70
Question: Cara picked a number of pears, each of which she sold, canned, or poached. If she canned 40 percent more than she poached, and she poached 80 percent less than she sold. If there were a total of 111 pears, then how many pears did she sell?
(A) 69
(B) 72
(C) 75
(D) 78
(E) 81
Rationale: Let x be the amount of pears that she sold.
Then she poached 0.2x.
Then she canned 1.4*0.2x=0.28x.
The total amount of pears is x+0.2x+0.28x=1.48x
The fraction of pears that she sold is 1/1.48=100/148=25/37.
The number of pears she sold is (25/37)*111=75.
The answer is C.
Answer: (C) 75
Question: A Harsco's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Harsco's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Harsco's to travel 850 kilometers?
(A) 1 hour and 24 minutes.
(B) 1 hour and 36 minutes.
(C) 2 hours and 24 minutes.
(D) 2 hours and 36 minutes.
(E) 5 hours.
Rationale: Difference in time = time taken by passenger train- time taken by Harsco's train
850/(250*68) *100 - 850/250
850 (100/ 250*68 - 1/250)
850*32/ (250*68)
1.6 hrs or 1 hr and 36 mins
B is the answer
Answer: (B) 1 hour and 36 minutes.
Question: A multiple choice question has 5 options. Choosing the correct option earns the student 1 marks. However choosing the wrong option incurs negative marks so that if a student chooses an option randomly, his expected score is 0. Suppose a student has successfully eliminated 2 incorrect options. His expected score if he chooses randomly among the remaining options is.
(A) 1/2
(B) 1/3
(C) 1/4
(D) 2/3
(E) 4/3
Rationale: for right ans 1 no is given and for wrong -.25
so 1(1)+4(-.25)=0
now
1(1)+2(-.25)=.5=1/2.
ANSWER:A
Answer: (A) 1/2
Question: The tax on a commodity is diminished by 32% but its consumption is increased by 12%. Find the decrease percent in the revenue derived from it?
(A) 20%
(B) 18%
(C) 15%
(D) 12%
(E) 24%
Rationale: 100 * 100 = 10000
68 * 112 = 7616
10000------- 2384
100 ------- ? = 24%
ANSWER:E
Answer: (E) 24%
Question: The number of female students in a college in the previous year was 400. If in the current year the number of male students in the college doubled over that of the previous year but the proportion of male students halved, then what is the number of female students in the college in the current year?
(A) 200
(B) 600
(C) 900
(D) 1600
(E) 2000
Rationale: Let x be the number of male students last year. The number of male students this year is 2x.
Let y be the number of female students this year.
x/400 = 2(2x/y)
y = 1600
The answer is D.
Answer: (D) 1600
Question: Bradley owns b video game cartridges. If Bradley’s total is one-fourth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
(A) (16/3)b
(B) (17/4)b
(C) (13/4)b
(D) (19/12)b
(E) (21/4)b
Rationale: Step 1: Categorize the problem
This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.
Step 2: Think like the test maker
What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlie’s totals in relation to Bradley’s total rather than giving you Bradley’s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlie’s values in relation to Bradley’s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.
Step 3: Solve the problem
b = Bradley’s total
4b = Andrew’s total
(1/4)b = Charlie’s total
Add each total
b + 4b+ (1/4)b = 5b + (1/4)b = (21/4)b
Therefore,choose E.
Answer: (E) (21/4)b
Question: If in coded language
2+6+7=24
8+2+8=73
3+4+4=40
Then
7+3+9=??
(A) 29
(B) 30
(C) 31
(D) 32
(E) 33
Rationale: As we have
(2+6+7)+9=24
(3+4+4)+29=40
(8+2+8)+55=73
similarly
(7+3+9)+87=106
Now Consider no.
9 then 29 then 55 then 87
Its series of difference 29 and 9 as 5×4+0=20
Then 55 and 29 as 5×5+1=26
Then 87 and 55 as 5×6+2=32
ANSWER:D
Answer: (D) 32
Question: When positive integer N is divided by positive integer J, the remainder is 16. If N/J = 204.04, what is value of J?
(A) 100
(B) 120
(C) 400
(D) 260
(E) 380
Rationale: When a number is divided by another number, we can represent it as : Dividend = Quotient * Divisor + Remainder
So, Dividend/Divisor = Quotient + Remainder/Divisor
Given that N/J = 204.04
Here 204 is the quotient.
Given that Remainder = 16
So, 204.04= 204 + 16/J
So, J = 400
Answer: C
Answer: (C) 400
Question: A cylinder with 6 meter radius and 12 meter height is filled to capacity with water. If the content of the cylinder is used to fill several smaller cylinders of 4 meter diameter and 8 meter height, how many smaller cylinders will be filled to capacity?
(A) 13
(B) 12
(C) 4
(D) 16
(E) 18
Rationale: Calculate the volume of the larger cylinder and divide it by the volume of the smaller cylinder.
volume of cylinder =πr2h
larger cylinder volume=1357.17
smaller cylinder volume=100.53
therefore the number of cylinders B that can be filled to capacity=1357.17/100.53=13.5
Answer is A only 13 smaller cylinders can be filled to capacity.
Answer: (A) 13
Question: If a car went the first third of the distance at 80 kmh, the second third at 15 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
(A) 30 kmh
(B) 40 kmh
(C) 42 kmh
(D) 44 kmh
(E) 50 kmh
Rationale: Assume D/3 = 240 (this number is convenient because it is divisible by 80, 15 and 48)
So:
240 = 80*T1 = 3 hrs
240 = 15*T2 = 16 hrs
240 = 48*T3 = 5 hrs
T = T1 + T2 + T3 = 24 hrs
D = RT
(240*3) = R*24
R = 30
ANSWER: A
Answer: (A) 30 kmh
Question: Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year 6 members of the club traveled to both England and France, no members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
(A) 52
(B) 71
(C) 67
(D) 73
(E) 79
Rationale: n(E or F or I) = n(E) + n(F) + n(I) - n(E and F) - n(F and I) - n(I and E) +n(E and F and I)
n(E or F or I) = 26 + 26 + 32 - 6 - 11 - 0 + 0
Why is the number of people who traveled to E and F and I 0? Because no one traveled to both England and France. So obviously, no one would have traveled to England, France and Italy.
n(E or F or I) = 67
Answer (C)
Answer: (C) 67
Question: How many seconds will a train 120 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph?
(A) 22 sec
(B) 32 sec
(C) 25 sec
(D) 24 sec
(E) 31 sec
Rationale: Explanation:
D = 120 + 200 = 320
S = 36 * 5/18 = 10 mps
T = 250/10 = 32 sec
Answer: Option B
Answer: (B) 32 sec
Question: If a man buys 100 biscuits for $900 and sold them for $10 dollars determine his gain.
(A) $ 100
(B) $ 90
(C) $ 80
(D) $110
(E) $ 115
Rationale: Cost of 100 biscuits = $90
Sold each biscuits for $10
So he sold 100 biscuits for $(100 × 10) = $1000
Loss = $(1000 – 900) = $100
Therefore, gain = $ 100.
Answer:A
Answer: (A) $ 100
Question: Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 2 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off?
(A) 8.5
(B) 9.5
(C) 10.5
(D) 11.5
(E) 12.5
Rationale: Let x be the total time it takes for the cistern to fill.
2/12 + x/15 = 1
x/15 = 5/6
x = 12.5
After the first pipe is turned off, it takes 10.5 more minutes to fill the cistern.
The answer is C.
Answer: (C) 10.5
Question: Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 6 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
(A) 5 : 1
(B) 30 : 2
(C) 15 : 2
(D) 20 : 2
(E) 25 : 2
Rationale: U/I = 6/2
I/B = 5/1
Since I is multiple of both 2 (as per first ratio) and 5 (as per second ratio) so let's assume that I = 10
i.e. Multiplying teh first ratio by 5 and second ration by 2 in each numerator and denominator
then, U : I : B = 30 : 18 : 2
i.e. U : B =30 : 2
Answer: Option B
Answer: (B) 30 : 2
Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?
(A) 7!
(B) 7!*2!
(C) 7!*3!
(D) 8!*1!
(E) 8!*4!
Rationale: Total number of ways = 7!*2!.
B
Answer: (B) 7!*2!
Question: At a certain high school, the senior class is three times the size of the junior class. If 1/6 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?
(A) 1/4
(B) 3/16
(C) 1/2
(D) 5/16
(E) 2/3
Rationale: Start by deciding on a number of students to represent the number of students in the senior class. For this example I will choose 300 students. That would make the number of students in the junior class 100. Then we can find out how many students are taking Japanese in each grade and add them together. (1/6)*300=50 and (1/4)*100=25. 50+25=75. There are a total of 400 students in the junior class and senior class combined (100+300=300), and there are 75 total students in Japanese, so 75 students in Japanese / 400 total students equals 3/16 of the students in both classes that study Japanese.
Answer: B
Answer: (B) 3/16
Question: While visiting a small town in the United States, I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number I did remember that the bus number bad a certain peculiarity about it. The number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square—of course it was not?
I came to know from the bus company they had only five hundred buses numbered from 1 to 500.
From this I was able to deduce the bus number. Can you tell what was the other number.
(A) 127
(B) 196
(C) 116
(D) 140
(E) 234
Rationale: B
196
The only numbers that can be turned upside down and still read as a number are 0, 1, 6, 8 and 9.
The numbers 0, 1 and 8 remain 0, 1 and 8 when turned over, but 6 becomes 9 and 9 becomes 6.
Therefore the possible numbers on the bus were 9, 16, 81, 100, 169 or 196. However, the number 196 is the only number which becomes a perfect square when turned over because 961 is the perfect square of 31. Therefore 196 is the correct answer.
Answer: (B) 196
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
.
(A) Rs. 650
(B) Rs. 690
(C) Rs. 698
(D) Rs. 700
(E) Rs. 720
Rationale: S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698. Answer: Option C
Answer: (C) Rs. 698
Question: A bag contains 6 red, 2 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
(A) 12/55
(B) 3/5
(C) 3/11
(D) 1/4
(E) 7/16
Rationale: Total number of balls = 6+2+4 = 12
n(S) = 12C3 = 12*11*10 / 3*2 = 220
n(E) = 6C1 * 2C1 * 4C1 = 48
Probability = 48/220 = 12/55
Answer is A
Answer: (A) 12/55
Question: The ages of two persons differ by 20 years. If 5 years ago, the older one be 5 times as old as the younger one, then their present ages, in years, are
(A) 25, 5
(B) 30, 10
(C) 35, 15
(D) 50, 30
(E) None of these
Rationale: Let the ages be ’x’ and ’y’ years now.
Then x - y = 20 ...(i)
(x - 5) = 5(y - 5) ...(ii)
From (i) and (ii),
20 + y - 5 = 5y - 25
y = 10 and x = 30.
ANSWER:B
Answer: (B) 30, 10
Question: Three people candidates contested an election and they received 1136, 7636 and 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
(A) 40%
(B) 45%
(C) 57%
(D) 58%
(E) 60%
Rationale: tot no of votes = (1136+7636+11628) = 20400
req = > (11628/20400 * 100) = > 57%
ANSWER C
Answer: (C) 57%
Question: The Present worth of Rs. 1404 due in two equal half-yearly instalments at 8% per annum simple interest is :
(A) Rs. 1325
(B) Rs. 1300
(C) Rs. 1350
(D) Rs. 1500
(E) None
Rationale: Solution
Required sum = P.W. of Rs. 702 due 6 month hence + P.W. of Rs. 702 due 1 year hence
= Rs.[(100x702/100 + 8 x1/2 )+ ( 100x702/100 + (8x1) )] = Rs. (675+650) = Rs. 1325.
Answer A
Answer: (A) Rs. 1325
Question: If (10x + 2)/4 - (3x - 6)/18 = (2x + 4)/3,
Then what is the value of x?
(A) 3
(B) -3
(C) 10/3
(D) 3/10
(E) -10/3
Rationale: (10x + 2)/4 - (3x - 6)/18 = (2x + 4)/3
=> 18(10x + 2)/4 - (3x - 6) = 18(2x + 4)/3
=> 4.5(10x + 2) - 3x +6 = 6 (2x + 4)
=> 45x + 9 - 3x + 6 = 12x +24
=> 45x-3x-12x = 24-9-6
=> 30x = 9
=> x = 9/30
=> x= 3/10
Answer: D
Answer: (D) 3/10
Question: The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour?
(A) 60
(B) 61.2
(C) 3240
(D) 3,600
(E) 3,672
Rationale: moon revolves around the earth at a speed of 1.02kilometers per second.
one hour equal to 60 minutes.
one minute equals to 60 seconds. so one hour equals to 3600seconds.
so one hour, speed= 0.9*3600=3240kilometers per hour.
Option C is correct
Answer: (C) 3240
Question: What is the 9th term in this sequence?
2,4,6,13,22,35,60
(A) 138
(B) 148
(C) 158
(D) 168
(E) 178
Rationale: 2+4 =6 +0 =6
6+4 =10+3 =13
13+6 =19+3 =22
22+13=35+0 =35
35+22=57+3 =60
60+35=95+3 =98
98+60=158+0=158
so 9th term is 158
ANSWER:C
Answer: (C) 158
Question: a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 6500rs,what is the value of buzness?
(A) 150000
(B) 16000
(C) 15000
(D) 190000
(E) 13000
Rationale: If value of business=x
Total sell (2x/3)(3/4)=6500
->x=13000
ANSWER:E
Answer: (E) 13000
Question: One fourth of a solution that was 8% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
(A) 74%
(B) 52%
(C) 40%
(D) 18%
(E) 8.5%
Rationale: Say the second solution (which was 1/4 th of total) was x% sugar, then 3/4*0.08+1/4*x=1*0.16 --> x=0.4. Alternately you can consider total solution to be 100 liters and in this case you'll have: 75*0.08+25*x=100*0.16 --> x=0.4.
Answer: C.
Answer: (C) 40%