mathewhe/aqua_rat huggingface dataset:
Question: Which of the following is closer to (23!+22!)/(23!-22!)?
(A) 49
(B) 36
(C) 25
(D) 16
(E) 1
Rationale: Notice that 23! = (23)(22!), so we can factor out 22! from top and bottom.
(23!+22!)/(23!-22!)=[22!(23+1)]/[22!(23-1)]
= (23+1)/(22-1)
= 24/22
≈ 1
Answer: E
Answer: (E) 1
Question: Which of the following fractions is at least thrice greater than 7/50?
(A) 2/5
(B) 11/34
(C) 43/99
(D) 8/21
(E) 9/20
Rationale: Answer C
7/50=0.14
43/99=0.45 which is 0.01434 greater than thrice times of 0.14
Answer: (C) 43/99
Question: 36 * 36 * 36 = 6^ ?
(A) 3
(B) 2
(C) 6
(D) 1
(E) 5
Rationale: 6^2 * 6^2 * 6^2 = 6^(2+2+2) = 6^6
Answer : 6
Answer : C
Answer: (C) 6
Question: The number 523rbc is divisible by 7,8,9. Then what is the value of r*b*c
(A) 504
(B) 532
(C) 210
(D) 180
(E) 280
Rationale: LCM of 7, 8 and 9 is 504, thus 523rbc must be divisible by 504.
523rbc=523000+rbc
523000 divided by 504 gives a remainder of 352.
Hence, 352+rbc=k*504.
k=1 rbc=152 --> r*b*c=10
k=2 rbc=656 -->r*b*c=180
As rbc is three digit number k can not be more than 2.
Two answers? Well only one is listed in answer choices, so D.
Answer: D.
Answer: (D) 180
Question: A is a working partner and B is a sleeping partner in a business. A puts in 60,000 and B 40,000. A gets 20% of the profit for managing the business, and the rest is divided in proportion to their capitals. Find the share of A in profit of 10000.
(A) 6800
(B) 5800
(C) 4800
(D) 6500
(E) None of these
Rationale: The amount A gets for managing
= 20% of Rs. 10000 = 2000
Remaining profit = 10000 – 2000 = 8000
This is to be divided in the ratio 3 : 2.
Share of A = 3/5 of 8000 = 4800
⇒ Total share of A = 4800 + 2000 = 6800.
Answer A
Answer: (A) 6800
Question: A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
(A) 22 kmph
(B) 108 kmph
(C) 54 kmph
(D) 71 kmph
(E) 88 kmph
Rationale: S = 480/16 * 18/5 = 108 kmph
Answer:B
Answer: (B) 108 kmph
Question: A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 8 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
(A) 2:40 pm
(B) 2:55 pm
(C) 3:12 pm
(D) 3:24 pm
(E) 3:45 pm
Rationale: The question is asking when the first clock will have chirped 24 times (3*8 chirps).
The first clock chirps once every 3 minutes.
If the first chirp is at 2:03, then the 24th chirp is at 72 minutes after 2:00.
The answer is C.
Answer: (C) 3:12 pm
Question: The G.C.D. of 1.08, 0.36 and 0.3 is?
(A) 0.06
(B) 0.9
(C) 0.18
(D) 0.108
(E) none of these
Rationale: Given numbers are 1.08,0.36 and 0.30.
H.C.F of 108, 36 and 30 is 6
H.C.F of given numbers=0.06.
Correct Options:A
Answer: (A) 0.06
Question: If n is an integer and n^4 is divisible by 8, which of the following could be the remainder when n is divided by 8?
(A) 1
(B) 2
(C) 3
(D) 5
(E) 6
Rationale: option 1
Remainder 1 means 8+1=9
n^4= 9^4= 9*9*9*9/8 is not an integer
option 2
Remainder 2 means 8+2=10
n^4= 10*10*10*10/8 is an integer means n^4 is divisible by 8 if we take n=2
so B is correct
Answer: (B) 2
Question: what is next number in sequence
212 427 303 336 394 ?
(A) 123
(B) 345
(C) 560
(D) 567
(E) 245
Rationale: E
245
space them properly as 21 24 27 30 33 36 39 42 45 ?
Answer: (E) 245
Question: In a 200m race, if A gives B a start of 25 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 metres the race ends in a dead heat. How long does A take to run 200m?
(A) 100 seconds
(B) 112.5 seconds
(C) 77.5 seconds
(D) 87.5 seconds
(E) None
Rationale: Explanatory Answer
A gives B a start of 25 metres and still wins the race by 10 seconds.
Alternatively, if A gives B a start of 45 metres, then the race ends in a dead heat.
Therefore, the additional 20 metres start given to B compensates for the 10 seconds.
i.e., B runs 20 metres in 10 seconds.
Hence, B will take 100 seconds to run 200 metres.
We know that A gives B a start of 45 metres. B will take 22.5 seconds to run this 45 metres as B runs 20 metres in 10 seconds or at the speed of 2 m/s.
Hence, A will take 22.5 seconds lesser than B or 100 - 22.5 = 77.5 seconds to complete the race.
Answer C
Answer: (C) 77.5 seconds
Question: A bus can hold 40 passengers. If there are 10 rows of seats on the bus, how many seats are in each row?
(A) 0
(B) 2
(C) 4
(D) 6
(E) 5
Rationale: No. of seats = 40/10 = 4
There are 4 seats in each row
Answer : C
Answer: (C) 4
Question: The first three terms of a proportion are 2, 8 and 16. The fourth term is?
(A) 22
(B) 64
(C) 67
(D) 60
(E) 88
Rationale: (8*16)/2 = 64
Answer:B
Answer: (B) 64
Question: The population of a town is 10000. It increases annually at the rate of 25% p.a. What will be its population after 2 years?
(A) 14000
(B) 14400
(C) 14500
(D) 15625
(E) 14700
Rationale: Formula :
10000 × 125/100 × 125/100 = 15625
Answer : D
Answer: (D) 15625
Question: If (t-8) is a factor of t^2-kt-47, 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 = 6
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)
t^2+kt+m = (t+a)(t+m)
D
Answer: (D) 6
Question: There are 3 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
(A) 10
(B) 12
(C) 24
(D) 60
(E) 100
Rationale: There are 3 red chips and 2 blue ones.
When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
10
12
24
60
100
Soln: Total number of patterns is 5!
Since 3 red chips are identical and 2 blue ones are identical thus we have
= 5!/(2! * 3!)
= 10 such different patterns A
Answer: (A) 10
Question: What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?
(A) 2000
(B) 2200
(C) 3000
(D) 3400
(E) 3500
Rationale: A.P.=(200X12900)/[4(200+5X3)]=3000 Ans
Alternative
100+105+110+115=12900
430=12900
100=12900/(430)X100=3000
C
Answer: (C) 3000
Question: A number is such when, twice the number is divided by 3d it gives a remainder as 20. And when five times of it is divided by 4d it gives remainder as 32. Find the value of d.
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Rationale: d=14
ANSWER:B
Answer: (B) 14
Question: Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
(A)  5040
(B)  2520
(C)  720
(D)  120
(E)  42
Rationale: PRINCETON REVIEW OFFICIAL SOLUTION:
Carmelo beats LeBron? Carmelo beats LeBron? No one said anything about specific results, especially not on a question that includes so many people.
Many questions on the GMAT can be overwhelming in appearance so first thing…Relax. This question looks nasty, but it’s pretty straightforward, requiring two things: the basic first calculation and then some additional work to solve the problem. It would be extremely painful to try to calculate this whole question in one fell swoop. So don’t.
Calculate out all possibilities first to get your bearings. That is, how many different arrangements, period? Since the order of arrangement again matters, this is another permutation. And since we’re placing all seven runners, this calculation is…
7 x 6 x 5 x 4 x 3 x 2 x 1, cash and prizes worth 5040 arrangements.
Now, what to do? Again, some nice deep breathing to control your nerves – relax and think. These 5040 arrangements are a comprehensive list; every possible seven-person order of finish has been counted. So, we have accounted for every time Carmelo beats LeBron AND every time LeBron beats Carmelo. Doesn’t it make sense that, for every time Carmelo beats LeBron, there is exactly one other instance in which LeBron beats Carmelo? Or more simply, doesn’t it make sense that, if these 5040 represents everything, that Carmelo beats LeBron exactly 50% of the time and vice versa?
The thought takes time. You need to have the presence to recognize that grinding your way in, around, and through this question could take roughly forever. Stepping back and recognizing that this is simply a 50/50 proposition and applying that thought to the 5040 you cranked out gives you 2520. The answer is B.
Answer: (B)  2520
Question: A convoy of 7 trucks, each 22 meters in length, pass through a construction zone 1/2 km long. Through the construction zone, they travel 3 m/s maintaining a distance of five meters between them. How long does it take for the entire convoy to make it through the zone?
(A) 3 min 22 sec
(B) 3 min 48 sec
(C) 4 min 12 sec
(D) 4 min 20 sec
(E) 4 min 36 sec
Rationale: B
3 min 48 sec
There are 7 trucks of 22 m with six 5-m gaps between them passing a distance of 500 m.
d = 7 * 22 m + 6 * 5 m + 500 m = 684 m
T = 684 m / 3 m/s = 228 s = 3 min 48 sec
Answer: (B) 3 min 48 sec
Question: At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.75. What is the price of 2 doughnuts?
(A) $ 0.55
(B) $ 1.00
(C) $ 1.10
(D) $ 1.30
(E) $ 1.80
Rationale: 3D + C = 2.25......(1)
2D + C = 1.75........(2)
(1) - (2) --> D = 0.50 --> 2D = 1.0
Answer: B
Answer: (B) $ 1.00
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
(A) 25
(B) 9/8
(C) 23/35
(D) 4/12
(E) 6/89
Rationale: Explanation:
Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that at least one green marble can be picked in the random draw of two marbles = Probability that one is green + Probability that both are green
= (â¶Câ‚ * â¹Câ‚)/Â¹âµCâ‚‚ + â¶Câ‚‚/Â¹âµCâ‚‚
= (6 * 9 * 2)/(15 * 14) + (6 * 5)/(15 * 14) = 36/70 + 1/7
= 46/70 = 23/35
Answer: C
Answer: (C) 23/35
Question: A pharmaceutical company received $4 million in royalties on the first $22 million in sales of generic equivalent of one of its products and then $8 million in royalties on the next $88 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $22 million in sales to the next $92 million in sales?
(A) 20%
(B) 25%
(C) 30%
(D) 45%
(E) 50%
Rationale: change in ratio of royalties to sales = 4/22 -8/88 = 1/11
% decrease = (1/11)/(4/22) *100 = 50% (approx)
Answer: E)
Answer: (E) 50%
Question: Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for U to be in the position where R is now shown. The number of degrees through which RSTU is rotated is
(A)  135 degree
(B)  180 degree
(C)  90 degree
(D)  270 degree
(E)  315 degree
Rationale: From the options, I am assuming the positioning of R and U relative to each other to be as shown. To replace R by U, focus on OU. Say, you rotate OU clockwise (and with it the entire square) and bring it in place of OR. How many degrees did you go? You covered 1 right angles i.e. 90 degrees.
Answer : C
Answer: (C)  90 degree
Question: If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ?
(A) 500
(B) 1000
(C) 1500
(D) 2000
(E) None of these
Rationale: Explanation:
Let the cost of a table and that of a chair be Rs. x and Rs, y respectively.
Then, 2x + 3y = 3500 ...(i)
and 3x + 2y = 4000 .....(ii)
solving (i) and (ii) we get x = 1000, y = 500
Answer: B
Answer: (B) 1000
Question: A present value of a machine is $400. Its value depletiation rate is 25% per annum then find the machine value after 2 years?
(A) $125
(B) $100
(C) $200
(D) $215
(E) $225
Rationale: P= $400
R = 25%
T = 2 years
Machine value after 2 years = P[(1-R/100)^T]
=400*3/4 * 3/4
=$225 approximately
Answer is E
Answer: (E) $225
Question: In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 84 more candidates got selected than A. What was the number of candidates appeared from each State?
(A) 7000
(B) 8400
(C) 6000
(D) 5000
(E) 4000
Rationale: State A and State B had an equal number of candidates appeared.
In state A, 6% candidates got selected from the total appeared candidates
In state B, 7% candidates got selected from the total appeared candidates
But in State B, 84 more candidates got selected than State A
From these, it is clear that 1% of the total appeared candidates in State B = 84
=> total appeared candidates in State B = 84 x 100 = 8400
=> total appeared candidates in State A = total appeared candidates in State B = 8400
Answer: (B) 8400
Question: A clock is set right at 5 a.m. The clock loses 16 minutes in 24 hours.What will be the true time when the clock indicates 10 p.m. on 4th day?
(A) 11
(B) 27
(C) 62
(D) 62
(E) 82
Rationale: Time from 5 am. on a day to 10 pm. on 4th day = 89 hours.
Now 23 hrs 44 min. of this clock = 24 hours of correct clock.
356/15 hrs of this clock = 24 hours of correct clock
89 hrs of this clock = (24 x 31556 x 89) hrs of correct clock.
= 90 hrs of correct clock.
So, the correct time is 11 p.m.
Answer: A
Answer: (A) 11
Question: The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 900 feet squared, what is the difference between the length and the width of the roof?
(A) 38.
(B) 40.
(C) 42.
(D) 45.
(E) 46.
Rationale: Answer is D : 45
Let w be the width , so length is 4w. Therefore : w*4w = 900, solving for, w = 15 , so 4w-w = 3w = 3*15 = 45
Answer: (D) 45.
Question: (786×74) ÷ ? = 1938.8
(A) A)4.8
(B) B)48
(C) C)30
(D) D)68
(E) E)48
Rationale: Explanation:
58164/x = 1938.8=> x = 58164/1938.8 = 30
Answer: Option C
Answer: (C) C)30
Question: Find the value of y from (12)^3 x 6^4÷432 =y?
(A) 4363
(B) 4765
(C) 4879
(D) 6789
(E) 5184
Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
E
Answer: (E) 5184
Question: A 600 meter long train crosses a signal post in 60 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
(A) 4 min
(B) 2 min
(C) 6 min
(D) 9 min
(E) 5 min
Rationale: S = 600/60 = 10 mps
S = 3600/10 = 360 sec = 6 min
Answer: C
Answer: (C) 6 min
Question: It takes 4 tons of copper ore and 6 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
(A)  12
(B)  15
(C)  20
(D)  30
(E)  50
Rationale: Yes, you need copper ore:iron ore in the ratio 4:6. Total 10 tons of the mix in this ratio will give 1 ton of alloy A.
If you have 60 tons of copper ore, it is enough for 60/4 = 15 tons of alloy A.
If you have 90 tons of iron ore, it is enough for 90/6 = 15 tons of alloy A.
Since iron ore is available for only 15 tons of alloy A, you can make only 15 tons of alloy A.
The leftover copper ore alone cannot make any alloy A and hence will be leftover only.
Answer must be 15.
(B)
Answer: (B)  15
Question: The area of one square is x^2 + 6x + 9 and the area of another square is 4x^2 − 28x + 49. If the sum of the perimeters of both squares is 56, what is the value of x?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: The areas are (x+3)^2 and (2x-7)^2.
The lengths of the sides are x+3 and 2x-7.
If we add the two perimeters:
4(x+3) + 4(2x-7) = 56
12x = 72
x = 6
The answer is D.
Answer: (D) 6
Question: Antonio works in a bakery. He made cookies that cost $3 and made $300. How many customer did he have?
(A) 100 customers
(B) 185 customers
(C) 250 customers
(D) 200customers
(E) 270 customers
Rationale: A cookie costs $3 adding another one is $6. 300 divided by 6 is 50x 2 is 100. He had 100 customers.
The correct answer is A.
Answer: (A) 100 customers
Question: Taylor is making a bracelet. He Starts with 4 blue knots, 4 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.
(A) 89
(B) 90
(C) 95
(D) 97
(E) 79
Rationale: Repeating sequence = 4 + 4 + 2 = 10.
As the pattern ends in Y this could be the 9th thread or 10 thread (both are yellow)
Out of the answer choices, correct on should be a multiple of 10(since 10 threads are repeating) and if not, multiple of 10 + 9 (since 10 threads are repeating and last sequence end at first yellow)
none of the options is a direct multiple of 10 and only option that is multiple of 10; + 9 is 79 (10*7) + 9
Hence, answer is E
Answer: (E) 79
Question: A goods train runs at the speed of 72 kmph and crosses a 250m long platform in 26seconds. what is the length of the goods train?
(A) 230 m
(B) 240 m
(C) 260 m
(D) 270 m
(E) 250 m
Rationale: Speed =(72 *5/18)m/sec= 20 m/sec.
then (x+250)/26=20
x+250 =520
x=520-250
then x=270
Answer: D
Answer: (D) 270 m
Question: If an average hard drive had a capacity of 0.1 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
(A) 256
(B) 512
(C) 768
(D) 1024
(E) 1536
Rationale: 0.1*2^10=0.1*1024=102.4
The answer is D.
Answer: (D) 1024
Question: A box contains 24 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
(A) 4/19
(B) 7/19
(C) 12/19
(D) 24/77
(E) None
Rationale: Solution
P( None is defective)
= 20C2 / 24C2
= 53/77.
P( at least one is defective)
= (1- 53/77)
= 24/77.
Answer D
Answer: (D) 24/77
Question: The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N.
(A) 197
(B) 195
(C) 200
(D) 250
(E) 210
Rationale: Solution
According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient × divisor + remainder = 15 × 13 + 2 = 197
ANSWER IS A
Answer: (A) 197
Question: The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
(A) 1 : 96
(B) 1 : 48
(C) 1 : 84
(D) 1 : 68
(E) None of these
Rationale: Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
ANSWER:A
Answer: (A) 1 : 96
Question: A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was?
(A) 12
(B) 11
(C) 10
(D) 9
(E) 8
Rationale: Let the total units of work to be done be 360.
The units of work done by A in a single day = 8
Similarly, the units of work done by B in a single day = 9.
A and B’s one day work = 17 units
A and B worked together for some days = 17X ( Assume)
B’s work alone for 23 days = 23 x 9 = 207
So, the work done by A and B together = (360 - 207) = 153 units
Therefore, 17X = 153
=> 9 units
Therefore, the number of days after which A left the work was 9 days.
ANSWER:D
Answer: (D) 9
Question: A car ferry can hold up to 70 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 4 tons?
(A) 14
(B) 20
(C) 28
(D) 32
(E) 36
Rationale: The weight of one car and one truck is 4.75 tons.
70/4.75 = 14 plus a remainder
The ferry could carry 14 cars and 14 trucks for a total of 28 vehicles.
The answer is C.
Answer: (C) 28
Question: Find the exact time between 7 am and 8 am when the two hands of a watch meet ?
(A) 7 hrs 35 min
(B) 7 hrs 36.99 min
(C) 7 hrs 38.18 min
(D) 7 hrs 42.6 min
(E) None of these
Rationale: 55 min spaces are gained in 60 min
⇒ 35 min spaces will be gained in 38.18 min.
⇒ Answer = 7 hrs + 38.18 min.
Answer C
Answer: (C) 7 hrs 38.18 min
Question: Jerry went to a shop and bought things worth Rs. 35, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
(A) 19
(B) 19.7
(C) 21.3
(D) 21.5
(E) 29.7
Rationale: Total cost of the items he purchased = Rs.35
Given that out of this Rs.35, 30 % is given as tax
=> Total tax incurred = 30 % = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (35−30/100−x)6/100 = 30/100
⇒ 6(35 −0.3 −x) = 30
⇒ (35 − 0.3 − x) = 5
⇒ x = 35 − 0.3 − 5 = 29.7
E)
Answer: (E) 29.7
Question: Of the 800 employees of Company P, 60 percent have been with the company for at least ten years. If q of theselong-termmembers were to retire and no other employee changes were to occur, what value of q would reduce the percent oflong-termemployees in the company to 50 percent ?
(A) 200
(B) 160
(C) 112
(D) 80
(E) 56
Rationale: The # oflong-termemployees is 60%*800=480.
After q of them retire new # oflong-termemployees would become 480-q.
Total # of employees would become 800-q.
We want 480-q to be 50% of 800-q --> 480-q=(800 -q)*50% --> q = 160.
Answer: B.
Answer: (B) 160
Question: Three cricket players -- Ramesh, Suresh and Ganesh play for three different cricket Teams Haryana, Delhi and Rajasthan respectively. Ramesh was born in Chennai but brought up in Karnal, Haryana. Suresh was born in Delhi and brought up in Delhi. Ganesh's fore-fathers were from Madurai but settled in Rajasthan. All the three participated in a cricket tournament. Ramesh's runs to Suresh's runs and Suresh's runs to Ganesh's runs are in the ratio 5:7. If the total runs scored by all the three players in the tournament is 327, find the total runs scored by Suresh in the tournament?
(A) 95
(B) 85
(C) 65
(D) 105
(E) 115
Rationale: Ramesh:suresh=5:7 and Suresh:Ganesh=5:7
By making suresh to be equal in two ratios, we get
R:S=25:35 and S:G=35:49
So, Total runs scored by them=109x=327
x=327/109=3
Total runs scored by suresh=35*x=35*3=105
ANSWER:D
Answer: (D) 105
Question: Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
(A) 40
(B) 50
(C) 60
(D) 70
(E) 80
Rationale: Let the speed of the slower train be x m/sec.
Then, speed of the train = 2x m/sec.
Relative speed = ( x + 2x) = 3x m/sec.
(100 + 100)/8 = 3x => x = 25/3.
So, speed of the faster train = 50/3 = 50/3 * 18/5 = 60 km/hr.
Answer: Option C
Answer: (C) 60
Question: Sinha and Mitra started a business by investing Rs.52000 and Rs.55000 respectively, after three months Mitra invested Rs.5000 more in the business. What is the share of Mitra in the half year profit of Rs.26280
(A) 13860
(B) 12000
(C) 14200
(D) 13980
(E) 13800
Rationale: Sinha = 52000 x 6 = 312000.
Mitra = 55000 x 3 = 165000 + 60000 x 3 = 180000 = 345000.
Ratio of investments = Sinha : MItra = 312000 : 345000 = 104 : 115 => [219 units].
Mitra share in the profit = 25280 × 115 / 219 = Rs.13800
Option E
Answer: (E) 13800
Question: A collector collects stamps from foreign countries. In June, she gave 20 percent of her stamps to her friend. In July, she gave 10 percent of her remaining stamps to another friend. If these were the only changes in the number of stamps in the stamp collection during those two months, what percent of her collection at the beginning of June did she give to away in June and July?
(A) 20%
(B) 24%
(C) 28%
(D) 32%
(E) 36%
Rationale: Let x be the number of stamps in the original collection.
The percentage of the collection given away is:
0.2x + 0.1(0.8x) = 0.2x + 0.08x = 0.28x = 28%
The answer is C.
Answer: (C) 28%
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 8 inches by 15 inches and Jordan's rectangle is 4 inches long, how wide is Jordan's rectangle, in inches?
(A) 24
(B) 26
(C) 28
(D) 30
(E) 32
Rationale: Area of first rectangle is 8*15=120 hence area of second would be 4x=120x
x=30
answer is D
Answer: (D) 30