divelab/Sys2Bench huggingface dataset:
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
Options:
A)9:39
B)9:31
C)9:36
D)9:32
E)9:34
Rationale: 1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
------
9:31
Answer: B
Answer: B
Question: Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 1H, which of the following represents the amount that Roberta paid?
Options:
A)D + 40
B)D + H – 1
C)D + 2H
D)2.03H
E)1.21D
Rationale: before Discount price was: 1.4D+1.5H
After Discount: 1.4D +1.5H-.42D-.45H
substitute D=H
final value: 2.03H
Ans Is D :
Answer: D
Question: Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 25, what is the measure of side XY?
Options:
A)10
B)4√2
C)8
D)8√2
E)Cannot be determined from the information provided
Rationale: ans A ..10..
xy being larger means it is the hyp..
area =(1/2)*(yz)^2=25 or yz=5*\sqrt{2}..
therefore hyp=xy=10
Answer: A
Question: Series 3,15,35,__,99
Options:
A)43
B)53
C)63
D)73
E)83
Rationale: 1*3=3
3*5=15
5*7=35
7*9=63
9*11=99
ANSWER:C
Answer: C
Question: A sum of Rs. 125000 amounts to Rs. 16500 in 4 years at the rate of simple interest. What is the rate of interest?
Options:
A)3%
B)4%
C)5%
D)6%
E)8%
Rationale: S.I. = (16500 - 12500) = Rs. 4000\
Rate = (100 * 4000) / (12500 * 4) = 8%
ANSWER:E
Answer: E
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Options:
A)279
B)283
C)308
D)318
E)338
Rationale: Other number =	(11 x 7700)/275= 308. Answer : C
Answer: C
Question: 9/5 of 11/122 of 8% of 33550 = ?
Options:
A)432.2
B)433.4
C)435.6
D)436.8
E)456.7
Rationale: Explanation :
? = 9x11x8x33550/5x122x100 = 435.6
Answer : Option C
Answer: C
Question: 675.987 - ? + 56.84 =289.654
Options:
A)A)443.173
B)B)752.804
C)C)714.642
D)D)629.906
E)of these
Rationale: Explanation:
443.173
Answer: Option A
Answer: A
Question: A is 2 times as fast as B. A alone can do the work in 20 days. If A and B work on alternative days, beginning with A, in how many days will the work be completed?
Options:
A)23
B)22
C)21
D)24
E)26
Rationale: A can finish 1 work in 20 days
B can finish 1/2 work in 20 days - since A is 2 faster than B
This means
B can finish 1 work in 20*2 days = 40 days
Now using the awesome GMAT formula when two machines work together they can finish the job in = AB/ (A+B) = 20*40/(20+40) = 13 days
Since they alternate on days, it will take them double this time so total time = 13 * 2 = 26 days
So answer is E
Answer: E
Question: A committee that includes 12 members is about to be divided into 4 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is Annie also a member?
Options:
A)34%
B)30%
C)26%
D)22%
E)18%
Rationale: Michael is a member of one of the subcommittees.
P(Annie is on the same subcommittee) = 2/11 which is about 18%.
The answer is E.
Answer: E
Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Options:
A)81000
B)22887
C)26877
D)26771
E)17121
Rationale: 64000* 9/8 * 9/8 = 81000
Answer:A
Answer: A
Question: The average of six numbers is X and the average of three of these is Y.If the average of the remaining three is Z, then
Options:
A)x = y + z
B)2x = y + z
C)x = 2y + 2z
D)None of these
E)Cannot be determined
Rationale: Solution
Clearly, we have	X =(3y+3z/6)
or
2x= y + z
Answer B
Answer: B
Question: A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If k and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of k and n?
Options:
A)-200
B)-130
C)-104
D)51
E)305
Rationale: 2 standard deviations from the average is from mean - 2*SDtomean + 2*SD, thus from 50-2*50.5=51 to 50+2*50.5=151:
-51 < k < 151
-51 < n < 151
-102 < k+n < 302.
Only option D is in this range.
Answer: D.
Answer: D
Question: A certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. If the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 120 miles at 60 mph?
Options:
A)15%
B)20%
C)25%
D)27%
E)40%
Rationale: Total time for travelling 120 miles @ 60 mph = 120/60 = 2 hour = 120 minutes.
Given, the car uses 1 gallon for every 40 minutes of driving @ 60 mph. Thus in 120 minutes it will use = 3 gallons. Thus, full tank = 3+8 = 11 gallons --->3/11= 27% of the fuel used. D is the correct answer.
Answer: D
Question: At what rate percent on simple interest will Rs.650 amount to Rs.950 in 5 years?
Options:
A)3.33%
B)5.93%
C)4.33%
D)5.33%
E)9.23%
Rationale: 300 = (650*5*R)/100
R = 9.23%
ANSWER:E
Answer: E
Question: The sum of the non-prime numbers between 20 and 30, non-inclusive, is
Options:
A)173
B)185
C)197
D)209
E)221
Rationale: sum of consecutive integers from 21 to 29, inclusive ====> (A1 + An)/2 * # of terms = (21 + 29)/2 * 9 = 25 * 9 = 225
sum of non-prime numbers b/w 20 and 30, non inclusive ===> 225 - 52 (i.e., 23 + 29, being the prime #s in the range) =173
Answer: A
Answer: A
Question: Two cars are driving toward each other. The first car is traveling at a speed of 100 km/h, which is 20% slower than the second car's speed. If the distance between the cars is 1125 km, how many hours will it take until the two cars meet?
Options:
A)4
B)4.5
C)4.8
D)5
E)5.5
Rationale: The speed of the first car is 100 km/h.
The speed of the second car is 100 / 0.8 = 125 km/h.
The two cars complete a total of 225 km each hour.
The time it takes the cars to meet is 1125 / 225 = 5 hours.
The answer is D.
Answer: D
Question: In an hour a boat goes 10 Km along the stream and 4 Km against the stream. The speed of the boat in still water (in Kmph) is:
Options:
A)7 Kmph
B)8 Kmph
C)10 Kmph
D)12 Kmph
E)None of these
Rationale: Explanation:
Let the speed of stream = X Kmph
and the speed of water = 8 Kmph
X + Y = 10
X - Y = 4
X = 7, Y = 3
Speed of stream = 7 Kmph
Answer: Option A
Answer: A
Question: Jim is now twice as old as Fred, who is eight years older than Sam. Four years ago, Jim was four times as old as Sam. How old is Jim now?
Options:
A)36
B)40
C)44
D)48
E)52
Rationale: J = 2F = 2(S+8) = 2S+16
J-4 = 4*(S-4)
(2S+16)-4 = 4S-16
S = 14 and so J = 44
The answer is C.
Answer: C
Question: A firm of ready made garments makes both men’s and women’s shirts. Its average profit is 6% of the sales. Its profit in men’s shirts average 8% of the sales and women’s shirts comprise 60% of the output. The average profit per sale rupee in women shirts is
Options:
A)0.0466
B)0.0666
C)0.0166
D)0.0366
E)None of these
Rationale: Women's shirt comprise 60% of the output.
∴ Men's shirts comprise (100 – 60) = 40% of the output.
∴ Average profit from men's shirt = 8% of 40 = 3.2 out of 40
Overall average profit = 6 out of 100
∴ Average profit from women's shirts = 2.8 out of 60
i.e. 0.0466 out of each shirt.
Answer A
Answer: A
Question: In a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. Find the total number of cows.
Options:
A)12
B)14
C)16
D)18
E)20
Rationale: Let the number of ducks be d
and number of cows be c
Then, total number of legs = 2d + 4c = 2(d + 2c)
total number of heads = c + d
Given that total number of legs are 32 more than twice the number of heads
=> 2(d + 2c) = 32 + 2(c + d)
=> d + 2c = 16 + c + d
=> 2c = 16 + c
=> c = 16
i.e., total number of cows = 16
Answer is C.
Answer: C
Question: A man is 30 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is?
Options:
A)16
B)19
C)15
D)20
E)28
Rationale: Let the son's present age be x years.
Then, man's present age = (x + 30) years.
(x + 30) + 2 = 2(x + 2)
x + 32 = 2x + 4
=> x = 28 .
Answer: E
Answer: E
Question: A man buys a scooter for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the scooter?
Options:
A)Rs. 1240
B)Rs. 1190
C)Rs. 1090
D)Rs. 1130
E)Rs. 1330
Rationale: SP=1400×85/100=14×85=1190
Answer : Option B
Answer: B
Question: The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.1.50 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Options:
A)978
B)789
C)999
D)778
E)787
Rationale: a2 = 3136
=> a = 56
56 * 4 * 3
= 672 – 6
= 666 * 1.5
= 999
Answer: C
Answer: C
Question: Pipe A runs 10 liters of water per minute into a tank that has a total volume of 1,200 liters. Pipe B fills an half the tank in 1 hours.
Working together how long will it take both pipes to fill the tank ?
Options:
A)2 hours and 36 minutes
B)1.5 hours
C)9 hours and 12 minutes
D)15 hours
E)1 hour and 12 minutes.
Rationale: Pipe A has a rate of 10 liters per minute which equals a rate of 600 liters per hour.
Pipe B has a rate of 400 liters per hour.
400 + 600 (A+B) = Together they have a rate of 1000 liters per hour.
1200 (The tank ) / 1000 = 6/5 = 1 hour and 12 minutes
Answer -E
Answer: E
Question: Nine family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
Options:
A)7080
B)8080
C)9080
D)10,080
E)11,080
Rationale: Let's consider Michael and Bobby as one unit.
There are 8! possible arrangements of 8 units.
Around a table, there would be repetitions of each arrangement, so we divide by 8.
Then there are 7! arrangements around a circular table.
For each arrangement, Michael and Bobby can switch places, so we multiply by 2.
The number of arrangements is 7!*2 = 10,080.
The answer is D.
Answer: D
Question: Of the integers between 100 and 999, inclusive, how many do not have digit 3 and 5?
Options:
A) 310
B) 320
C) 448
D) 428
E) 528
Rationale: Options for the first digit 9-2(2 and 5)=7;
Options for the second digit 10-2=8;
Options for the third digit 10-2=8;
Total numbers possible 7*8*8=320.
Answer: C.
Answer: C
Question: If 3x=6y=z, what is x+y, in terms of z?
Options:
A)z/2
B)2z
C)z/3
D)3z/5
E)z/9
Rationale: 3x=6y=z
x = z/3
and y = z/6
x+y = z/3 + z/6 = z/2
Answer is A
Answer: A
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Options:
A)12 ways
B)14 ways
C)30 ways
D)61 ways
E)51 ways
Rationale: The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women
= 4C2 * 5C1
= (4 * 3)/(2 * 1) * 5
= 30 ways.
Answer: C
Answer: C
Question: If the cost price of 8 articles is the same as the selling price of 10 articles. Find the gain or loss percentage?
Options:
A)20% gain
B)20% loss
C)30% gain
D)30% loss
E)40% loss
Rationale: Explanation:
Ex:-
2X = 3Y
X = 3
Y = 2
12 cp = 15 sp
Cost price CP = 15
Selling price SP = 12
Formula = (SP-CP)/CP * 100 = (12 - 15)/10 * 100 = 30 % Loss
Answer: Option D
Answer: D
Question: If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 7n years to that after 3n years?
Options:
A)(1+k/100)^n
B)(1+k)^n
C)(1+kn/100)
D)(1+k/100)^4n
E)(1+kn)
Rationale: Amount after 7n years will be = x ( 1 + k/100)^4n
Amount after 3n years will be = x ( 1 + k/100)^3n
So, required ratio will be -
{ x ( 1 + k/100)^7n } / {x ( 1 + k/100)^3n } = (1+k/100)^4n
Hence answer will be a. (1+k/100)^4n
D
Answer: D
Question: A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase Q in sales?
Options:
A) 2%
B) 17%
C) 20%
D) 65%
E) 83%
Rationale: Last year's sales = $320 million;
This year's sales = $385 million;
Increase Q = $65 million.
Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million.
Answer: C.
Answer: C
Question: How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
A)28 sec
B)23 sec
C)24 sec
D)25 sec
E)26 sec
Rationale: D = 130 + 150 = 280
S = 36 * 5/18 = 10 mps
T = 280/10 = 28 sec
A
Answer: A
Question: The total cost of a vacation was divided among 4 people. If the total cost of the vacation had been divided equally among 5 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
Options:
A)$200
B)$300
C)$400
D)$500
E)$1000
Rationale: C for cost.
P price per person.
C= 4*P
C=5*P-250
Substituting the value of P from the first equation onto the second we get P = 250.
Plugging in the value of P in the first equation, we get C= 1000. Which leads us to answer choice E
Answer: E
Question: Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Options:
A)2661
B)1651
C)1267
D)1627
E)1261
Rationale: Explanation:
A = 8000(21/20)3
= 9261
= 8000
---------
1261
Answer:E
Answer: E
Question: Truck P and Truck Q drive on the highway in the same direction at respective rates of 72 kph and 80 kph. If Truck Q is 5 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 30 minutes?
Options:
A)2 kph
B)4 kph
C)6 kph
D)8 kph
E)10 kph
Rationale: Truck Q needs to gain 5 km in 30 minutes.
The relative speed difference needs to be 5 km / 30 minutes = 10 km/hour
Truck Q needs to increase up to 82 kph, thus an increase in 2 kph.
The answer is A.
Answer: A
Question: If A and B are positive integers, A - 4 is divisible by 4 and B - 2 is divisible by 2, all of the following could be the value of A - B Except?
Options:
A)4
B)8
C)10
D)14
E)3
Rationale: A-4 = 4B
=> A = 4B + 4 = 4,8,12,16,20,24,28,32,36
B-2 = 2A
=> B = 2A + 2 = 2,4,6,8,10,12,14,16,18,20
4 = 8 - 4
8 = 12 - 4
10 = 16 - 6
14 = 32 - 18
So , we can see that all the answer choices are possible here except E
Answer: E
Question: Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3?
Options:
A)16
B)50
C)277
D)92
E)11
Rationale: Let the distances between city A to B and B to C be 2x km and 3x km respectively.
Total time taken to cover from A to C
= (2x)/40 + (3x)/60 = (6x + 6x)/120 = 12x/120 = x/10 Average speed = (2x + 3x)/(x/10) = 50 kmph.
Answer:B
Answer: B
Question: Simple interest on a certain sum is 36 over 25 of the sum. Find the rate per cent and time, if both are equal.
Options:
A)8% and 8 years
B)6% and 6 years
C)10% and 10 years
D)12 % and 12 years
E)None of these
Rationale: 36â„25P = PÃ—RÃ—R/100
â‡’ R^2 = 3600â„25 â‡’144=> R = 12%
Also, time = 12 years
Answer D
Answer: D
Question: What is the two-digit number whose first digit is a and the second digit is b?. The number is greater than 9.
The number is multiple of 51.
The sum of the digits a and b is 6.
Options:
A)I alone sufficient while II alone not sufficient to answer
B)II alone sufficient while I alone not sufficient to answer
C)Either I or II alone sufficient to answer
D)Both I and II are not sufficient to answer
E)Both I and II are necessary to answer
Rationale: From statement I:
A two digit number, greater than 9 and multiple of 51 should be 51 itself.
Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.
From statement II:
A two digit number, greater than 9 and sum of the digit is 6.
It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.
Thus, I alone give the answer while II alone not sufficient to answer.
ANSWER A
Answer: A
Question: A certain company had a total annual expenditure of 1.26∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?
Options:
A)$20,000
B)$25,000
C)$35,000
D)$30,000
E)$45,000
Rationale: Given: Total annual expenditure of 1.26∗10^7 on employee salaries
Total employees = 420
Observe that 420*3 = 1260
Therefore try to bring the numerator in terms of 1260
Average salary = (1260*10^4) /420 = 3*10^4 = 30,000
Option D
Answer: D
Question: A fruit-salad mixture consists of apples, peaches, and grapes in the ratio 9:6:5, respectively, by weight. If 40 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Options:
A)15
B)12
C)8
D)6
E)4
Rationale: We can first set up our ratio using variable multipliers. We are given that a fruit-salad mixture consists of apples, peaches, and grapes, in the ratio of 6:5:2, respectively, by weight. Thus, we can say:
apples : peaches : grapes = 6x : 5x : 2x
We are given that 39 pounds of the mixture is prepared so we can set up the following question and determine a value for x:
9x + 6x + 5x = 40
20x = 40
x = 2
Now we can determine the number of pounds of apples and of grapes.
pounds of grapes = (5)(2) = 10
pounds of apples = (9)(2) = 18
Thus we know that there are 18 – 10 = 8 more pounds of apples than grapes.
Answer is C.
Answer: C
Question: A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
Options:
A)388898
B)2777
C)2928
D)15000
E)2882
Rationale: The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs.10000 Share of A in the total profit = 3/5 * 25000 = Rs.15000.Answer: D
Answer: D
Question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
A)40
B)41
C)45
D)49
E)46
Rationale: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec
Answer: Option A
Answer: A
Question: Taylor works in a bakery. He made cookies that cost $2.50 and made $350. How many customer did he have?
Options:
A)180 customers
B)185 customers
C)250 customers
D)100customers
E)140 customers
Rationale: A cookie costs $2.50 adding another one is $5. 350 divided by 5 is 70 x 2 is 140. He had 140 customers. The correct answer is E.
Answer: E
Question: A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got Rs. 40 less. The cost price of each clock is?
Options:
A)16
B)26
C)80
D)26
E)92
Rationale: Let C.P. of clock be Rs. x.
Then, C.P. of 90 clocks = Rs. 90x.
[(110% of 40x) + (120% of 50x)] - (115% of 90x) = 40
44x + 60x - 103.5x = 40
0.5x = 40 => x = 80
Answer:C
Answer: C
Question: The weight of a glass of jar is 25% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
Options:
A)1/5
B)1/3
C)2/5
D)1/2
E)7/15
Rationale: Let weight of jar filled with beans = 100 g
Weight of jar = 25 g
Weight of coffee beans = 75 g
Weight of jar and remaining beans = 60 g
Weight of remaining beans = 35 g
Fraction remaining = 35/75 = 7/15
Answer is E.
Answer: E
Question: A Taxi Company marks their tickets 30% more than the real price and allows 30% discount. Company's loss is:
Options:
A)6%
B)7%
C)8%
D)9%
E)None of these
Rationale: Let the CP = 100 Rs.
Mark Price = 130
Discount = 30%
Selling price=70/100 Ã— 130
Hence loss = 9%
Answer: D.
Answer: D
Question: We have a rectangular metallic piece of paper that covers exactly the area of a cube. The length of the piece of paper is 144 inches and the width is 72 inches. What is the volume of the cube in cubic feet is 1 feet is 12 inches?
Options:
A)a 216
B)b 196
C)c 170
D)d 140
E)e 121
Rationale: l = 144 /12 = 12 ft
w = 72 / 12 = 6 ft
Area of paper = 72
Area of cube = 12 * side^2
side of cube = 6
V of cube = 216
Answer: A
Question: A man is 24 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
Options:
A)23 years
B)22 years
C)21 years
D)20 years
E)30 years
Rationale: Let present age of the son = x years
Then present age the man = (x + 24) years
Given that in 2 years man's age will be twice the age of his son
x = 22
ANSWER B
Answer: B
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Options:
A)31/115
B)36/145
C)1/214
D)2/213
E)3/271
Rationale: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Answer: B
Question: The sides of a cube measures 8cm. If the surface area of the cube is the same as a ball, what is the radius of the ball? Round to the nearest whole number.
Options:
A)3
B)8
C)7
D)6
E)5
Rationale: First calculate the surface area of the cube. The cube is made of 6 squares with the sides measuring 8cm each. The surface area of 1 side of the cube is 64cm. Multiply the surface area of the 1 side by 6 will give you the cube's total surface area. The cubes total surface area is 384cm. Now we know that the surface area of the ball is 384cm. To find out the surface area of a sphere you need to square the radius, then multiply by Pi, and multiply by the number 4. Going backwards to find the radius - you will need to dived the surface area by 96. Then divide by Pi. Then determine the square root of the answer. The radius is 5.527. Rounding to the nearest whole number the radius is 6. The correct answer is (D).
Answer: D
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 2km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
Options:
A)20km
B)40km
C)60km
D)80km
E)90km
Rationale: t=d/s, so
9=x/2*1/5+x/2*1/2(because half distance with 5 km/ph, and remaining half with 2km/hr)
9=x(18/40)
x=20km
ANSWER:A
Answer: A
Question: Think of a number, divide it by 4 and add 9 to it. The result is 15. What is the number thought of?
Options:
A)24
B)77
C)297
D)267
E)29
Rationale: ANSWER: A
Answer: A
Question: Can you find the missing number in the sequence given below
11 19 27 12 20 ? 13 21 29 14 22 30
Options:
A)21
B)20
C)28
D)23
E)24
Rationale: Solution:
28
Explanation :
The sequence is given in the puzzle is :
11 19 27 12 20 ? 13 21 29 14 22 30
Let's break the given series as below:
11 19 27
12 20 ?
13 21 29
14 22 30
Now read the number from left hand side from top to bottom as :
So the number that will replace '?' is 28.
Answer C
Answer: C
Question: How many odd numbers between 10 and 1400 are the squares of integers?
Options:
A)14
B)17
C)20
D)23
E)26
Rationale: The numbers are the squares of 5, 7, 9,...,37 which includes 17 numbers.
The answer is B.
Answer: B
Question: Percentage of profit earned by selling a book for $1320 is equal to the percentage loss incurred by selling the same book for $880. What price should the book be sold to make 30% profit?
Options:
A)$950
B)$1000
C)$1250
D)$1430
E)$1620
Rationale: Let C.P. be Rs. x.
Then,(1320 - x)	x 100 =(x - 880)	x 100
1320 - x = x - 880
2x = 2200
x = 1100
Required S.P. = 130% of 1100 = 1.30	x 1100 = $1430
Answer : D
Answer: D
Question: Two taps can separately fill a cistern 5 minutes and 7.5 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Options:
A)3.8
B)3.7
C)3.6
D)3.9
E)3.5
Rationale: 1/5 + 1/7.5 - 1/x = 1/18
x = 3.6
Answer:C
Answer: C