divelab/Sys2Bench huggingface dataset:
Question: A sum of money becomes triple itself in 5 years at simple interest. How many years will it become nine times at the same rate?
Options:
A)12 Â½ years
B)62 Â½ years
C)18 Â½ years
D)72 Â½ years
E)12 Â½ years
Rationale: 100 ---- 200 ---- 5
200 ---- 5
100 ---- 2 1/2
------------------
900 ---- 18 Â½ years
Answer:C
Answer: C
Question: A and B start from house at 10am. They travel on the MG road at 20kmph and 40 kmph. there is a Junction T on their path. A turns left at T junction at 12:00 noon, B reaches T earlier, and turns right. Both of them continue to travel till 2pm. What is the distance between A and B at 2 pm
Options:
A)160kilometre
B)170km
C)180km
D)190km
E)150km
Rationale: at 12 A will travel=20*2= 40km
B will travel this 40 km in 40/40=1 hr i.e. by 11am.
after T junction for A- distance travelled =2*20=40 km
for b distance travelled =40*3=120
so distance between A & B is=120+40=160km
ANSWER:A
Answer: A
Question: A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $2600 in September, how many cars does he need to sell in October in order to double his September earnings?
Options:
A)18
B)19
C)20
D)21
E)22
Rationale: 800+200x=5200
x=22 cars.
The answer is E.
Answer: E
Question: What is the place value of 2 in the numeral 12734?
Options:
A)1500
B)4500
C)2000
D)6000
E)4000
Rationale: Option 'C'
2 * 1000 = 2000
Answer: C
Question: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Options:
A)40
B)50
C)60
D)70
E)80
Rationale: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) * (18/5)] km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 ==> x = 50 km/hr.
Answer: Option B
Answer: B
Question: In how many different number of ways a Committee of 3 person of can be selected from 5 boys and 3 girls such that at least 1 girl is included in the committee
Options:
A)41
B)42
C)46
D)48
E)50
Rationale: 1G 2B 2G 1B 3G
= 3C1 × 5C2 + 3C2 × 5C1 + 3C3s
= 3 × (5 × 4)/2 + 3 × 5 + 1
= 30 + 15 + 1 = 46
Total 5M 3W
8C3 = 56
5C3 = 10
At least one girl = total - with out girl
At least one girl = 56 - 10 = 46
C)
Answer: C
Question: A car gets 32 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
Options:
A)84
B)88
C)92
D)96
E)100
Rationale: Originally, the distance the car could go on a full tank was 12*32=384 miles.
After it has been modified, the car can go 32/0.8= 40 miles per gallon.
On a full tank, the car can go 12*40= 480 miles, thus 96 miles more.
The answer is D.
Answer: D
Question: When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tammy is what percent greater than the quantifying chopped by Tom?.
Options:
A)44%
B)125%
C)105%
D)225%
E)400%
Rationale: Tom chops 4 lbs in 6 minutes
Tammy chops 9 lbs in 6 minutes
So in the same amount of time, Tammy chops 125% more than Tom, since 9 is 125% greater than 4. So 125% is the answer.
Note that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is still 125% greater than 4x.
Ans : B
Answer: B
Question: Twelve animals of a circus has to be placed inside in twelve cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
Options:
A)A.604800
B)B.808250
C)C.502450
D)D.784200
E)E.4838400
Rationale: ways for cages that are too small = 5*4*3*2=120
since we have 8 cages and 8 animal left therefore ways for 8 cages =8!
total ways =120*8!=4838400
Answer E
Answer: E
Question: There are 45 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
Options:
A)4
B)7
C)17
D)21
E)27
Rationale: let's find the range of Both and hence the range of x. Minimum value of Both: Say there is no overlap in the two sets.45 = x + 2xx =15In this case Both = 0 Maximum value of Both: Say there is maximum overlap between the two sets. One set has x so it could be a subset of the set 2x.45 = 2xBut x cannot be a decimal so (x-1) could be the overlap (= Both) and there could be 1 in only the Golf club.45 = 2 x + x - (x - 1)x = 22In this case Both = 22 - 1 = 21 So Both lies between 0 and 21 Only option (C) satisfies this condition. ANSWER:C
Answer: C
Question: A certain number when divided by 110 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Options:
A)4
B)5
C)6
D)8
E)9
Rationale: Explanation:
110 + 25 =135/15 = 9 (Remainder)
E
Answer: E
Question: Alpha, Beta and Gamma are inner angles in a triangle. If Alpha = Beta + Gamma, what can't be the size of Beta?
Options:
A)44 degrees
B)45 degrees.
C)89 degrees
D)90 degrees.
E)There isn't enough data to determine.
Rationale: Given Alpha = Beta + Gamma, and Alpha, Beta and Gamma are inner angles in a triangle. Thus Alpha + Beta + Gamma = 180
Beta + Gamma + Beta + Gamma = 180 => 2(Beta + Gamma) = 180 => Beta + Gamma = 90. Thus beta will be less than 90.
Hence the answer is D.
Answer: D
Question: The sum of the squares of three consecutive odd numbers is 2531.Find the
numbers.
Options:
A)27,28 and 31
B)25,29 and 31
C)27,29 and 32
D)26,33 and 31
E)27,29 and 31
Rationale: Let the numbers be x, x + 2 and x + 4.
Then, X2 + (x + 2)2 + (x + 4)2 = 2531 => 3x2 + 12x - 2511 = 0
=> X2 + 4x - 837 = 0	=> (x - 27) (x + 31) = 0	=>	x = 27.
Hence, the required numbers are 27, 29 and 31.
Answer is E.
Answer: E
Question: Mrs. Napier has 45 stickers to give to 7 students for a reward. How many
stickers will each student get? Will there be any stickers left over?
Options:
A)2-5
B)6-4
C)2-6
D)2-3
E)2-8
Rationale: 45/7 = 6 R 4 Mrs. Napier will give each student 6 stickers and there
will be 4 left over.
correct answer B
Answer: B
Question: What is the probability that an integer selected randomly from 101 to 550, inclusive, begins with 1, 2, or 3, and ends with 4, 5, or 6?
Options:
A)1/5
B)2/5
C)3/5
D)1/4
E)1/3
Rationale: Total = 550-101+1= 450
Desired values= 3*10*3 = 90
P(A) = 90/450 = 1/5
ANSWER:A
Answer: A
Question: A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Options:
A)Rs. 14,000
B)Rs. 14,200
C)Rs. 14,400
D)Rs. 14,700
E)Rs. 14,800
Rationale: Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
3x = 36000
x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
A's share = Rs. (35000 x 21/50) = Rs. 14,700.
D
Answer: D
Question: Robert left from a Pvt Company. Management hold his salary Rs. 15000/- for one month. Earlier Robert borrowed Rs. 7280/- from company. But Robert forget that. After one month Robert asked his salary and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert?
Options:
A)9500
B)12500
C)10780
D)10500
E)8600
Rationale: Total Salary = Rs.15000/-
Borrowed Money = 7280/-
Balance Salary = 15000-7280= 7720
Paid amount = 18500/-
Incentive amount = 18500-7720 = 10780/-
Answer is C
Answer: C
Question: How many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph?
Options:
A)6 sec
B)7.5 sec
C)8 sec
D)3 sec
E)10 sec
Rationale: D = 110+165 = 275
S = 132 * 5/18 = 110/3 mps
T = 275*3/110 = 7.5 sec
B)7.5 sec
Answer: B
Question: How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?
Options:
A)35
B)49
C)100
D)105
E)140
Rationale: Solution 1:
Assume the iodine solution to be mixed = x lts.
Iodine = 0.4x lts, Water = 0.6x lts.
Solution 2: 35 liters of a 20% iodine solution
Iodine = 7 lts, Water = 28 lts.
Total iodine = 0.4x + 7
Total water = 0.6x + 28
The resultant is a 35% iodine solution.
Hence (0.4x + 7) / (x + 35) = 35/100
40x + 700 = 35x + 1225
5x = 525
x = 105 lts
Correct Option: D
Answer: D
Question: How many 4-digit B numbers (ABCD) can be formed such that |A – D| = 2?
Options:
A)2,000
B)1,900
C)1,800
D)1,600
E)1,500
Rationale: 1) A=0 and D-8
2) A and D as 1 and 9..so 3*100= 300 extra ways ans 1800-300 = 1500.
we are looking for |A-D|=2 so any of the two can be bigger..
these two can have values (1,3) ; (2,4) so on till (7,9) so total 7*2 = 14..
another arrangement could be A as 2 and D as 0... D as 2 and A as 0 is not possible as number will become 3 digits..
so the ways A and D can be placed = 14+1=15 ways..
B and C can be placed in 10*10 ways..
Total B= 15*10*10=1500.E
Answer: E
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Options:
A)165 ways
B)176 ways
C)617 ways
D)136 ways
E)156 ways
Rationale: Total number of persons in the committee = 5 + 6 = 11
Number of ways of selecting group of eight persons
= ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2)
= 165 ways.
Answer: A
Answer: A
Question: The ratio between the speeds of two trains is 3 : 5. If the second train runs 500 kms in 4 hours, then the speed of the first train is
Options:
A)80 km/h
B)75 km/h
C)50 km/h
D)125 km/h
E)60 km/h
Rationale: B
75 km/h
Answer: B
Question: Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x?
Options:
A)1
B)2
C)3
D)4
E)5
Rationale: C) 3
Answer: C
Question: Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 11 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
Options:
A)477
B)384
C)279
D)276
E)291
Rationale: 1h ----- 5
? ------ 60
12 h
RS = 11 + 21 = 32
T = 12
D = 32 * 12 = 384.Answer: B
Answer: B
Question: The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 16. Find their present ages (in years).
Options:
A)8, 14, 18
B)8, 28, 36
C)20, 35, 45
D)33,42,43
E)23,42,43
Rationale: Let their present ages be 4x, 7x and 9x years respectively.
Then, (4x - 8) + (7x - 8) + (9x - 8) = 16
20x = 40
x = 2.
Their present ages are 4x = 8 years, 7x = 14 years and 9x = 18 years respectively.
ANSWER:A
Answer: A
Question: The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places
Options:
A)45
B)43
C)42
D)47
E)23.57
Rationale: Let the side of the square be a cm.
Parameter of the rectangle = 2(16 + 14) = 60 cm Parameter of the square = 60 cm
i.e. 4a = 60
A = 15
Diameter of the semicircle = 15 cm
Circimference of the semicircle
= 1/2(∏)(15)
= 1/2(22/7)(15) = 330/14 = 23.57 cm to two decimal places
Answer: Option E
Answer: E
Question: What percent is 7 gm of 1 kg?
Options:
A)0.7 %
B)0.5 %
C)2.5 %
D)3.5 %
E)4 %
Rationale: 1 kg = 1000 gm
7/1000 × 100 = 700/1000
=7/10 = 0.7 %
A)
Answer: A
Question: Three consecutive even numbers are such that thrice the first number exceeds double the third number by six. What is the third number?
Options:
A)16
B)18
C)20
D)22
E)24
Rationale: Let the three numbers be x, x+2, and x+4.
3x = 2(x+4) + 6
x = 14 and then the third number is x+4 = 18.
The answer is B.
Answer: B
Question: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Options:
A)4
B)5
C)6
D)6
E)7
Rationale: Let the number off boys in the group originally be x.
Total weight of the boys = 30x
After the boy weighing 35 kg joins the group, total weight of boys = 30x + 35
So 30x + 35 + 31(x + 1) = > x = 4.
Answer:A
Answer: A
Question: Sum of the numbers from 1 to 20 is
Options:
A)210
B)110
C)220
D)105
E)100
Rationale: Explanation: Sum of first n natural numbers = 1 + 2 + 3 + ..... n =n+1/2
Substitute n = 20.
=20*21/2=210
ANSWER IS A
Answer: A
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
Options:
A)69.0 km /hr
B)69.2 km /hr
C)67.2 km /hr
D)67.0 km /hr
E)65.0 km /hr
Rationale: Explanation:
If a car covers a certain distance at x kmph and an equal distance at y kmph. Then,
average speed of the whole journey = 2xy / x+y kmph.
By using the same formula, we can find out the average speed quickly.
Average speed
=2×84×56/84+56 = 2×84×56/140
=2×21×56/35=2×3×56/5
=336/5=67.2
Answer: Option C
Answer: C
Question: A ship sails 4 degrees north, then 13 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
Options:
A)0
B)1
C)2
D)3
E)None of these
Rationale: Let x = the latitude sought.
Then marking the northings +, and the southings -;
By the statement x + 4 - 13 + 17 - 19 = -11
And x = 0.
Answer A
Answer: A
Question: Find the simple interest on Rs. 73,000 at 16 2/3% per year for 9 months.
Options:
A)7500
B)6500
C)8125
D)9125
E)None of them
Rationale: P = Rs.73000,R = 50/3% p.a and T = 9/12 years = 3/4years.
Simple Interest = (P*R*T)/100 = Rs.(73,000*(50/3)*(3/4)*(1/100))= Rs.9125
Answer is D.
Answer: D
Question: A plant manager must assign 10 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers?
Options:
A)2430
B)2700
C)3300
D)4860
E)5400
Rationale: my take selecting team of 2 out of 10 to assign to the shifts = 10C2 = 45 ways.
now 2 out of 10 means total of 5 group possible.
so putting them in shifts = counting methode: first, second, third, alt , alt
= 5*4*3*2*1 = 120
here alt and alt are the same: so 120/2 = 60 ways.
total ways of selecting = (selecting 2 out of 10)*arranging those teams in shifts
= 45*60 = 2700
Ans: B
Answer: B
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Options:
A)8
B)twelve (12)
C)14
D)16
E)18
Rationale: Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+26
3x + 6 = x + 26
2x = 20
\inline \therefore x = 10
\inline \therefore Middle number = x + 2 = 10+2 = 12
B
Answer: B
Question: 7^6n -1^ 6n When n is an integer > 0 is divisible by
Options:
A)112
B)127
C)134
D)154
E)146
Rationale: 127
B
Answer: B
Question: An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product?
Options:
A)4
B)16
C)25
D)36
E)100
Rationale: 25 = 5^2 so it can not be the square of an even number multiplied by an odd number.
The answer is C.
Answer: C
Question: The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
Options:
A)1.6 km
B)2 km
C)3.6 km
D)4 km
E)None of these
Rationale: Explanation:
Speed downstreams	=(15 + 3)kmph
= 18 kmph.
Distance travelled	= (18 x 12/60)km
= 3.6km
Option C
Answer: C
Question: Which one of the following is not a prime number?
Options:
A)31
B)61
C)71
D)73
E)91
Rationale: 91 is divisible by 7. So, it is not a prime number.
D
Answer: D
Question: 90, 180, 12, 50, 100, 120, ?, 3, 30, 4, 25, 2, 6, 30, 3
Options:
A)90
B)120
C)180
D)200
E)220
Rationale: 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
30*4=120
3*30=90 ans is 90
ANSWER:A
Answer: A
Question: The average student age of a certain class which has 45 students is 14. If one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. What is the age of class teacher?
Options:
A)30
B)35
C)38
D)40
E)45
Rationale: Sum of ages of class before replacement= 45x14=630
Sum of ages of class without teacher= 630-15=615
Sum of ages of class after replacement=45x14.66=660
Age of teacher=660-615=45
Answer: E
Answer: E
Question: A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Options:
A)5/6
B)1/5
C)1/6
D)1/7
E)1/24
Rationale: Let x be the number of upgraded sensors on the satellite.
The number of non-upgraded sensors per unit is x/6.
The number of non-upgraded sensors on the whole satellite is 24(x/6) = 4x.
The fraction of sensors which have been upgraded is x / (x+4x) = x/5x = 1/5
The answer is B.
Answer: B
Question: Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money W would he earn per month?
Options:
A)$700
B)$754
C)$770
D)$782
E)$893
Rationale: OFFICIAL SOLUTION:
(C) If Bill’s salary increased by 16% he would earn $812. Algebraically, this can be written as:
$812 = 1.16S, where S is his current salary.
Then S = $812/1.16 = $700.
Now that we know his current salary is $700, we can calculate what his salary would be if it were increased by 10%. We know that 10% of $700 is $70, so his salary would be:
W=$700 + $70 = $770.
The correct answer is choice (C).
Answer: C
Question: In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
Options:
A)9X/80
B)16X/1
C)80/9X
D)20X/13
E)80X/9
Rationale: IMT = 0.25T
JI = 0.25 IMT
0.25 IMT = $x b
IMT = $x/(0.25) b
T = 4*IMT = 4x/0.25 = 4x*100/25 = 16x
Ans: "B"
Answer: B
Question: In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $70,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
Options:
A)$80,000
B)$150,000
C)$240,000
D)$290,000
E)$320,000
Rationale: For sake of ease, let's say there are 10 employees: 7 marketers, 2 engineers, and 1 manager.
Average company salary * Number of employees = Total company salary
>>> $80,000 * 10 = $800,000
Subtract the combined salaries for the marketers (7 * $70,000) and the engineers (2 * $80,000)
>>> $800,000 - $490,000 - $160,000 = $150,000.
The correct answer is B.
Answer: B
Question: In a consumer survey, 88% of those surveyed liked at least one of three products: 1, 2, and 3. 55% of those asked liked product 1, 40% liked product 2, and 20% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products?
Options:
A)15
B)20
C)25
D)30
E)35
Rationale: 55 + 40 + 20 = 115
This number includes some people counted twice and some people counted three times.
115 - 88 = 27, and this number represents people counted twice or three times.
7% of the people are counted two extra times.
The percentage of people counted one extra time is 27 - 7(2) = 13.
The percentage of people who liked more than one product is 7% + 13% = 20%.
The answer is B.
Answer: B
Question: Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Options:
A)17 hrs
B)16 hrs
C)21 hrs
D)15 hrs
E)04 hrs
Rationale: 1/20 + 1/30 = 1/12
1 + 1/3 = 4/3
1 --- 12
4/3 --- ?
4/3 * 12 = 16 hrs
Answer:B
Answer: B
Question: A car dealership has 40 cars on the lot, 15% of which are silver. If the dealership receives a new shipment of 80 cars, 30% of which are not silver, what percentage of total number of cars are silver?
Options:
A)20%
B)25%
C)30%
D)35%
E)40%
Rationale: The number of silver cars is 0.15*40 + 0.3*80 = 30
The percentage of cars which are silver is 30/120 = 25%
The answer is B.
Answer: B
Question: How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
Options:
A)1 one
B)2 two
C)3 three
D)4 four
E)More than four
Rationale: A is followed by B means : A comes first,B comes next
A preceded by B means : B comes first, A comes next
The sets which satisfy the condition is: 5 3 8
1 3 8
7 3 4
ANSWER: C
Answer: C
Question: If the range Q of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x?
Options:
A)	0
B)	2
C)	12
D)	13
E)	15
Rationale: The range Q of a set is the difference between the largest and smallest elements of a set.
Without x, the difference between the largest and smallest elements of a set is 14-3=11<12, which means that in order 12 to be the range of the set x must be either the smallest element so that 14-x=12 ---> x=2 OR x must the largest element so that x-3=12 --> x=15.
The the difference between the greatest possible value of x and least possible value of x is 15-2=13.
Answer: D.
Answer: D
Question: Find the value of (√1.21)/(√0.81) + (√0.81)/(√0.49) is
Options:
A)195/63
B)2.5
C)155/63
D)125/63
E)185/63
Rationale: (√1.21)/(√0.81) + (√0.81)/(√0.49)
11/9 + 9/7 => 2.50
Answer is B
Answer: B
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?
Options:
A)4!*2!
B)7!*2!
C)6!*1!
D)2!*1!
E)5!*1!
Rationale: Total number of ways = 7!*2!.
B
Answer: B
Question: By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
Options:
A)42 8/7%
B)42 6/4%
C)42 6/7%
D)42 3/7%
E)42 6/9%
Rationale: SP = CP + g
50 SP = 50 CP + 15 SP
35 SP = 50 CP
35 --- 15 CP gain
100 --- ? => 42 6/7%
Answer: D
Answer: D
Question: The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
Options:
A)Rs. 1550
B)Rs. 1650
C)Rs. 1750
D)Rs. 2000
E)Rs. 3000
Rationale: C.I. = [4000 * (1 + 10/100)2 - 4000]
= (4000 * 11/10 * 11/10 - 4000) = Rs. 840.
Sum = (420 * 100)/(3 * 8) = Rs. 1750
ANSWER:C
Answer: C
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.]
Options:
A) 0.33
B) 0.44
C) 0.55
D) 44
E) 55
Rationale: Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $
Just multiply by 100, Answer W= 44.D
Answer: D
Question: Oak Street begins at Pine Street and runs directly east for 2 kilometers until it ends when it meets Maple Street. Oak Street is intersected every 400 meters by a perpendicular street, and each of those streets other than Pine Street and Maple Street is given a number beginning at 1st Street (one block east of Pine Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Maple Street. What is the highest-numbered street that intersects Oak Street?
Options:
A)4th
B)5th
C)6th
D)7th
E)8th
Rationale: 2 km / 400 m = 5.
However, the street at the 2-km mark is not 5th Street; it is Maple Street.
Therefore, the highest numbered street is 4th Street.
The answer is A.
Answer: A