divelab/Sys2Bench huggingface dataset:
Question: 4 years ago, Paula was 4 times as old as Karl. In 4 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Options:
A)22
B)24
C)26
D)28
E)30
Rationale: P-4 = 4(K-4) and so P = 4K-12
P+4 = 2(K+4)
(4K-12)+4 = 2K+8
K = 8
P = 20
P+K = 28
The answer is D.
Answer: D
Question: A train 800 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 180 sec. The speed of the train is?
Options:
A)5 km/hr
B)1 km/hr
C)2 km/hr
D)3 km/hr
E)4 km/hr
Rationale: Speed of the train relative to man = 800/180 = 40/9 m/sec.
= 40/9 * 18/5 = 16 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 15 = 16 => x = 1 km/hr.
Answer: B
Answer: B
Question: Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 8 inches on a side and costs $10, and a large pizza that measures 12 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Options:
A)5 square inches
B)10 square inches
C)16 square inches
D)25 square inches
E)350 square inches
Rationale: In the first case each can buy one pizza of $10 and one pizza of $20.
In square inches that would be (8*8=64) for the small pizza and (12*12=144) for the large pizza. In total sq inches that would be (64+144)*2= 416 sq inches.
In the second case if they pool their money together they can buy 3 large pizzas. In terms of square inches that would be 3*144= 432 sq inches.
Hence, the difference is 16 square inches more (432-416).
The correct answer is C
Answer: C
Question: At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $35 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time?
Options:
A)291.67
B)105
C)301.05
D)288
E)249.55
Rationale: System of Equations
a = (36/100) c
(1/3) a = 35 --> a = 105
Substitution
105 = (36/100) c
c = (100/36) 105
- You can do the ugly calculation 105/36 * 100
The Correct Answer is A.
The correct answer is 291.67
Answer: A
Question: George baked a total of 50 pizzas for 5 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
Options:
A)5
B)4
C)3
D)2
E)1
Rationale: 3/5 of the 50 pizzas cooked on Saturday = 30 pizzas
3/5 of the remaining pizzas on Sunday = 12 pizzas
We're left with (50-30-12) =8 pizzas for the remaining 3 days. The prompt tells us that each day has FEWER pizzas than the day before it, so we can't have duplicate numbers.
M T W
5 2 1 =8
W=1
E
Answer: E
Question: Excluding stoppages, the average speed of a bus is 50 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
Options:
A)12 min
B)18 min
C)16 min
D)20 min
E)26 min
Rationale: In 1hr, the bus covers 50 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (50 - 40) km i.e 10 km at 50 km/hr.
stoppage time = 10/50 hrs
= 12 min
Answer: A
Answer: A
Question: When x is divided by y, the quotient is z with remainder a. Which of the following is equal to a?
Options:
A)yz – x
B)y/x−z
C)x – y – z
D)x – yz
E)zx – y
Rationale: (x/y)=z(+a)
(18/8)=2(+2)
x-yz
which is 18-(8*2)=2
Answer is D
Answer: D
Question: If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?
Options:
A)308
B)154
C)70
D)44
E)20
Rationale: If x is divisible by 2,14 and 11,then x must be a multiple of 2,7 and 11.
Hence,the least multiple of x will be 2*7*11=154.
ANSWER:B
Answer: B
Question: Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
Options:
A)16 years
B)18 years
C)20 years
D)Cannot be determined
E)None of these
Rationale: Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then, [(6x + 6) + 4] / [(5x + 6) + 4] = 11/10
10(6x + 10) = 11(5x + 10) => x = 2
Sagar's present age = (5x + 6) = 16 years.
ANSWER:A
Answer: A
Question: We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 20, and the difference between the total number of strawberries and the total number of blueberries would increase by 80. Each blue box contains how many blueberries?
Options:
A)25
B)30
C)35
D)40
E)45
Rationale: Let x be the number of blueberries in each blue box.
Then there are x+20 strawberries in each red box.
x+(x+20)=80
x = 30
The answer is B.
Answer: B
Question: 210 university students were asked in a survey if they preferred Windows or Mac brand computers. 60 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. 90 of the students had no preference. How many of the students in the survey preferred Windows to Mac brand computers?
Options:
A)25
B)40
C)50
D)60
E)75
Rationale: We are told that60 Students claimed that they preferred Mac to Windows, which means that 60 preferred Mac but NOT Windows, so # of students who preferred Mac (P(A) as you wrote), does not equal to 60, it equals to 60+20 (20 is # of students who equally preferred both brands). Also we are asked to find # of the students who preferred Windows to Mac, so if you denote x as those who prefer Windows then you should calculate x-20.
So, if we use your formula it should be: 210={Mac}+{Windows}-{Both}+{Neither}=(60+20)+x-20+90 --> x=60 (# of student who prefer Windows) --> # of the students who preferred Windows to Mac is x-20=40.
Answer: B
Question: A and B can do a piece of work in 4 2/3 days and 5 days respectively. They work together for 1 days and then A leaves. In how many days after that B will complete the work alone.
Options:
A)3.92 days
B)1.92 days
C)2.12 days
D)2.02 days
E)2.92 days
Rationale: 3/14 * 1 + (1 + x)/5 = 1
x = 2.92 days
ANSWER:E
Answer: E
Question: A person covers a distance in 9 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
Options:
A)18 m/s
B)4 m/s
C)15 m/s
D)10 m/s
E)6 m/s
Rationale: Explanation:
T = 9 m
Spees = 12 kmph
= 12 x 5/18 = 10/3 m/s
Let new speed be "x"
9 x (10/3) = 5x
x = 6 m/s
Answer: Option E
Answer: E
Question: Find k if 16 / k = 4.
Options:
A)6
B)7
C)8
D)4
E)3
Rationale: Since 16 /k = 4 and 16 / 4 = 4, then
k = 4 correct answer D
Answer: D
Question: Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 6 more than the average expenditure of all the nine. The total money spent by all of them was
Options:
A)26
B)40
C)33.75
D)27
E)None of the above
Rationale: Let the average expenditure of all the ninte be x
Then, 3 × 8 + x + 6 = 9x
⇒ x = 3.75
∴ Total money spent = 9x = 9 × 3.75 = 33.75
Answer C
Answer: C
Question: 60 boys can complete a work in 24 days.how many men need to complete twice the work in 20 days
Options:
A)144
B)170
C)180
D)190
E)200
Rationale: one man can complete the work in 24*60=1440 days = one time work
to Complete the work twice it will be completed in
let M be the no. of worker assign for this therefore the eqn becomes
M*20=2*1440
M=144 workers
ANSWER:A
Answer: A
Question: 10,17,31,59,115, (...)
Options:
A)142
B)123
C)446
D)84
E)227
Rationale: 10
10Ã— 2 - 3 =17
17 Ã— 2 - 3= 31
31 Ã— 2 - 3 = 59
59Ã— 2 - 3 = 115
115Ã— 2 - 3 = 227
Answer is E
Answer: E
Question: Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?
Options:
A)2:3
B)3:5
C)4:5
D)4:7
E)5:9
Rationale: Lett. mixtures of the two containers be added together in the ratio of x
= = [ixoox l00%
Since the percentage quantity ofmilk in the new mixture is SO% — so% (45x + 42y) x 5 4 x 54(x y) 225x 210y 216.3E+216y
9x=6y
x:y=2:3
A
Answer: A
Question: Ram professes to sell his goods at the cost price but he made use of 970 grms instead of a kg, what is the gain percent?
Options:
A)11 1/7%
B)3.09%
C)11 1/9%
D)71 1/9%
E)11 1/2%
Rationale: 970 --- 30
100 --- ? => 3.09%
Answer:B
Answer: B
Question: If x^2=2x+1, then x^3= ?
Options:
A)5x+2
B)3x-2
C)2x+1
D)4x-3
E)3x+4
Rationale: x^2 = 2x+1
x^3 = x*x^2 = x*(2x+1) = 2x^2 + x = 2(2x+1)+x = 5x+2
The answer is A.
Answer: A
Question: The end of a blade on an airplane propeller is 5 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Options:
A)200π
B)240π
C)300π
D)480π
E)150π
Rationale: Distance traveled in 1 revolution = 2πr= 2π5/5280
Revolutions in one second= 1320
Revolutions in 60 seconds (one minute)= 1320*60
Total distance traveled= total revolutions *distance traveled in one revolution
1320*60 *2π5/5280= 150π
E is the answer
Answer: E
Question: Is 2 a prime number or a composite number?
Options:
A)prime number
B)composite number
C)both prime composite number
D)Not prime composite number
E)Don't Know
Rationale: A Prime Number can be divided evenly only by 1 or itself
So 2 is prime number
Answer: A
Question: Each of three different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Options:
A)1/8
B)1/6
C)1/9
D)3/8
E)1/2
Rationale: I was just going over probability questions.
can some one explain me what's wrong in my approach here.
Probability of choosing one right key out of 3 is 1/3.
Probablity of choosing another right key is 1/3.
since the question is asking for 2 right keys , probability is multiplication of both = 1/3 * 1/3 = 1/9.
Ans C
Answer: C
Question: A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Options:
A)2
B)4
C)6
D)5
E)3
Rationale: Speed downstream = (13 + 4) km/hr = 17 km/hr.
Time taken to travel 68 km downstream = 68/17
= 4 hrs
Ans - B
Answer: B
Question: A board 8ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
Options:
A)5ft. 7 inches
B)2ft. 11 inches
C)4ft. 7 inches
D)2ft. 7 inches
E)1ft. 7 inches
Rationale: Length of board=8ft. 9 inches=(8*12+9)inches=105 inches.
Therefore, Length of each part = (105/3) inches = 35 inches = 2ft. 11 inches
Answer is B.
Answer: B
Question: nd the area of trapezium whose parallel sides are 20 cm and 16 cm long, and the distance between them is 15 cm?
Options:
A)270cm2
B)275cm2
C)280cm2
D)285cm2
E)290cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (20 + 16) * (15)
= 270 cm2
Answer:A
Answer: A
Question: The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.
Options:
A)259200 cm3
B)86400 cm3
C)720 cm3
D)Cannot be determined
E)None of these
Rationale: Volume of the box = √120×72×60 = 720 cm3
Answer C
Answer: C
Question: Mark drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the
rest of the driving evenly between them. If the entire trip was 128 miles, how many miles did Kaitlyn
drive?
Options:
A)26 miles
B)16 miles
C)20 miles
D)18 miles
E)17 miles
Rationale: 1/2 x 128 = 64 miles Mark drove
1/4 x 128 = 32 miles Justin drove
64 + 32 = 96 miles driven
128 - 96 = 32 miles left
32 ÷ 2 = 16 miles driven by Kaitlyn
correct answer B
Answer: B
Question: Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)F can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
Options:
A) 660
B) 600
C) 500
D) 300
E) 240
Rationale: In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,F if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is E that is 240
Answer: E
Question: An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams are possible?
Options:
A)25
B)35
C)150
D)210
E)300
Rationale: I get C. If I see this on the test, id prolly get to 210 and then guess A B or C.
OK so for the first position we have only 2 possibilities ( proj manager) 3 for the team leader so and 7!/3!4! for the consultants
2*3*35 --> 210
Now I dunno how to figure out the constraints quickly but I eventually figured it out. Obvs. we want to figure out the total ways in which the two ARE on the same team.
I did it by AB are the two and XYZFN are the rest
ABXO (O stands for the other 4) So the first is ABXY, Z,F,N 4 possible choices
The next is
ABYO (but notice we already had YX so there are only 3 possible choices)
ABZO
ABFO
ABNO No possible here we used them all up
So 4+3+2+1 = 10
SO now its 2*3*10 =60
So 210-60 = 150
ANS:C
Answer: C
Question: A cistern is normally filled in 14 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Options:
A)33
B)88
C)40
D)99
E)112
Rationale: 1/14 - 1/x = 1/16
x = 112
Answer: E
Answer: E
Question: If the numbers representing volume and surface area of a cube are equal, then the length of the edge of the cube in terms of the unit of measurement will be
Options:
A)3
B)4
C)5
D)6
E)7
Rationale: Sol.
a3 = 6a2
⇒ a = 6.
Answer D
Answer: D
Question: Sachin Tendulkar bough a red ferrari with a strange 5 digit numbered plate.The water image of the number is 78633 more than my car number.All the digits of sachin's car number are distinct. What is the original number on sachin's number plate?
Options:
A)15468
B)10558
C)14298
D)10668
E)10968
Rationale: E
10968
Water image is 89601
Answer: E
Question: The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Options:
A)22 seconds
B)65 seconds
C)78 seconds
D)12 seconds
E)21 seconds
Rationale: Speed of the boat downstream
= 15 + 3 = 18 kmph
= 18 * 5/18 = 5 m/s
Hence time taken to cover 60 m
= 60/5 = 12 seconds.
Answer:D
Answer: D
Question: {-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10}
A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x+4)(x+10)(2x-5) = 0?
Options:
A)1/12
B)1/6
C)1/4
D)1/3
E)1/2
Rationale: Roots of the equation (x-5)(x+10)(2x-5)=0 are x=-4,x=-10andx=5/2=2.5. So, three solutions present in our set of 12 distinct numbers, therefore P=3/12=1/4.
Answer: C.
Answer: C
Question: of polynomial for degree of x>+1 where f(x2)=f(x)2=f(f(x))
Options:
A)0
B)1
C)2
D)3
E)4
Rationale: Let f(x) = x2
f(x2)=[x2]2=x4
(f(x))2=[x2]2=x4
f(f(x))=f(x2)=[x2]2=x4
Only 1
ANSWER:B
Answer: B
Question: How many words can be formed by using all letters of the word “BIHAR”
Options:
A)120
B)240
C)150
D)160
E)140
Rationale: The word BIHAR contains 5 different letters.
Required number of words = 5p5 = 5! = (5x4x3x2x1) = 120.
Answer A.
Answer: A
Question: The amount of principal Rs.4000 at compound interest at the ratio of 10% p.a. for 3 years is
Options:
A)Rs.5342
B)Rs.4325
C)Rs.5324
D)Rs.3425
E)Rs.3525
Rationale: 5324
ANSWER:C
Answer: C
Question: A man can row a boat at 36 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 100 km upstream?
Options:
A)10/3
B)10/7
C)10/9
D)10/11
E)10/13
Rationale: Speed upstream = 36-6=30 kmph.
Time required to cover 100 km upstream = d/s = 100/30 = 10/3 hours. Answer:A
Answer: A
Question: A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?
Options:
A)7500
B)2776
C)2877
D)2667
E)2671
Rationale: P = (d * 1002) / R2
=> (48 * 100 * 100) / 8 * 8 = Rs.7500
Answer:A
Answer: A
Question: Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
Options:
A)42, 33
B)42, 36
C)44, 33
D)44, 36
E)45, 38
Rationale: Explanation:
Let the marks secured by them be x and (x+9)
sum of their marks =x+(x+9)=2x+9
Given that (x+9) was 56% of the sum of their marks
=X+9=56/100(2X+9)
X=33
Then (x+9)=33+9=42
Hence their marks are 33 and 42
ANSWER IS A
Answer: A
Question: In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ?
Options:
A)2/3
B)5/8
C)5/9
D)3/7
E)4/7
Rationale: Since, all possible hypothesis regarding the colour of the balls are equally likely, therefore these could be 3 white balls, initially in the bag.
∴ Required probability = 1/4 [1 + 3/4 + 1/2 + 1/4]
= 1/4 [(4 + 3 + 2 + 1)/4] = 5/8
B
Answer: B
Question: On dividing 190 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
Options:
A)A)12
B)B)15
C)C)16
D)D)17
E)E)21
Rationale: d = (D-R)/Q
= (190 - 1)/9
= 189/9 = 21
E)
Answer: E
Question: The average mark of the students of a class in a particular exam is 90. If 2 students whose average mark in that exam is 45 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam?
Options:
A)10
B)40
C)20
D)30
E)25
Rationale: Let the number of students who wrote the exam be x.
Total marks of students = 90 x.
Total marks of (x - 2) students = 95(x - 2)
90x - (2 * 45) = 95(x - 2)
100 = 5x => x = 20
Answer: C
Answer: C
Question: The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly six elements each?
Options:
A)96
B)80
C)84
D)88
E)92
Rationale: nC2 = 36
=> n*(n-1)/2 = 36 by middle term factor and n cannot be negative
=> n = 9
nC3 = 9C6 = 9!/6!*(9-6)!= 9*8*7*6!/6!*3*2 =84
So, Answer is C.
Answer: C
Question: The length, breadth and height of a room are in the ratio 4 : 4 : 2. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will
Options:
A)(a) decrease by 37.5%
B)(b) decrease by 13.64%
C)(c) decrease by 15%
D)(d) decrease by 18.75%
E)(e) decrease by 30%
Rationale: Length (L) = 4
Breadth (B) = 4
Height (H) = 2
Total Area of Walls = 2(BH + LH) = 2*(4*2 + 4*2) = 2*(8+8) = 32
Then, Finally
Length (L) = 2*4 = 8
Breadth (B) = 4/2 = 2
Height (H) = 2/2 = 1
Total Area of Walls = 2(BH + LH) = 2*(2*1 + 8*1) = 2*(2+8) = 20
% change in Area of four walls = (Final Area-Initial Area)*100 /Initial Area
i.e. % change in Area of four walls = (20-32)*100 /32=- 37.5% (Decrease)
Answer: Option A
Answer: A
Question: If Z= Y^2 + d W+ 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9
Options:
A)III only
B)II only
C)I and II only
D)II and III only
E)I and III only
Rationale: Here C is the answer as A and B statements will provide the discriminant to be negative thereby making the x axis cutting impossible.
Hence only 1 and 2
thus C
Answer: C
Question: The number of stamps that P and Q had were in the ratio of 7:4 respectively. After P gave Q 8 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 6:5. As a result of the gift, P had how many more stamps than Q?
Options:
A)4
B)8
C)12
D)16
E)20
Rationale: P started with 7k stamps and Q started with 4k stamps.
(7k-8)/(4k+8) = 6/5
35k - 24k = 48 + 40
11k = 88
k = 8
P has 7(8) - 8 = 48 stamps and Q has 4(8)+8 = 40 stamps.
The answer is B.
Answer: B
Question: How many positive even integers less than 100 contain digits 5 or 7?
Options:
A)10
B)17
C)18
D)19
E)20
Rationale: Two digit numbers:
5 at tens place: 50,52,54,56,58
7 at tens place: 70,72,74,76,78
If 5 and 7 is at units place, the number cant be even
Total:5+5= 10
Answer A
Answer: A
Question: 3^b + 3^b + 3^b =
Options:
A)7^b
B)7^(b + 1)
C)7^(7b)
D)3^(b + 1)
E)49^B
Rationale: Easy one.
3*3^b = 3^(b+1)
Ans. D
Answer: D
Question: A and B go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
Options:
A)30 sec
B)198 sec
C)178 sec
D)665 sec
E)276 sec
Rationale: Time taken to meet for the first time at the starting point
= LCM { length of the track / speed of A , length of the track / speed of B}
= LCM { 150/ (36 * 5/18) , 150/ (54 * 5 /18) }
= LCM (15, 10) = 30 sec.
Answer:A
Answer: A
Question: Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much do they have in their wallets?
Options:
A)D$20 C$13 Au$60
B)D$40 C$23 Au$40
C)D$60 C$33 Au$30
D)D$80 C$43 Au$20
E)D$90 C$53 Au$90
Rationale: Let the amount in Chris’s wallet be $x
Donna has $7 more than Chrish's wallet = $(x + 7)
Austin has 3 times than Donna's wallet = $3(x + 7)
According to the problem, Donna, chris, and Austin have a total of $93 in their wallets.
Therefore,
x + (x + 7) + 3(x + 7) = 93
x + x + 7 + 3x + 21 = 93
5x + 28 = 93
- 28 -28 (subtract 28 from both sides)
5x = 65
or, 5x/5 = 65/5 (Divide both sides by 5)
x = 13
Amount in Chris wallet = $x = $13
Amount in Donna's wallet = $(x + 7) = $(13 + 7) = $20
Amount in Austin 's wallet = $3(x + 7) = $3(13 + 7) = $3(20) = $ 60
Answer: Amount in Chris’s wallet: $13
Amount in Donna's wallet: $20
Amount in Austin's wallet: $60
correct answer A
Answer: A
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.80. How much was lent at 5%?
Options:
A)228
B)299
C)266
D)500
E)1000
Rationale: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 80
5x/100 + 90 â€“ 6x/100 = 80
x/100 = 10
=> x = 1000
Answer:E
Answer: E
Question: A grocer purchased 20 kg of rice at the rate of 15 per kg and 30 kg of rice at the rate of 13 per kg. At what price per kg should he sell the mixture to earn 331/3% profit on the cost price?
Options:
A)28.0
B)20.0
C)18.4
D)17.4
E)None of these
Rationale: CP= 20 ×15 + 30 ×13 = 690
\ sp = 4⁄3 of 690 × 1⁄50 = 18.40
Answer C
Answer: C
Question: Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
Options:
A)19%
B)10%
C)21%
D)16%
E)None
Rationale: Solution:
given ratio of Ram and Shayam's weight = 4:5
Hence, (x-15)/(15-10) = 4/5
Or, x = 19%.
Answer: Option A
Answer: A
Question: The radius of a semi circle is 6.7 cm then its perimeter is?
Options:
A)32.75
B)32.45
C)22.45
D)34.45
E)32.15
Rationale: 36/7 r = 6.7 = 34.45
Answer:D
Answer: D
Question: The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Options:
A)60 kg
B)70 kg
C)80 kg
D)89 kg
E)95 kg
Rationale: Total weight increased = (8 x 3) kg = 24 kg.
Weight of new person = (65 + 24) kg = 89 kg.
D)
Answer: D