mathewhe/aqua_rat huggingface dataset:
Question: "A dress is marked up by 16 2/3% to make the final price of $ 140"?
(A) 140
(B) 130
(C) 120
(D) 160
(E) 150
Rationale: let x be original price
% increase is = 16 2/3% of x = 50/3% of x
final price = $ 140
==> x + 50/3 * x% = 140
==> x + 50/300 * x = 140
==> x + x/6 = 140
==> 7x/6 = 140
==> x = 120
ANSWER:C
Answer: (C) 120
Question: On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 40 miles per hour. Which of the following is closest to his average speed for both trips combined?
(A) 40
(B) 44.44
(C) 42
(D) 46
(E) 48
Rationale: To solve the average speed questions, we need to know the total distance and the total time.
Let us assume that the distance from work = D
This will also be the distance from work to home
Hence total distance travelled = 2D
Time in going to work = D/50,
Time in coming back from work = D/40
Hence average speed of both the trips = 2D/ (D/50 + D/40)
= 2*200/12 = 44.44
B
Answer: (B) 44.44
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 9 minutes, then the area of the park (in sq. m) is
(A) 153200
(B) 153400
(C) 153600
(D) 194400
(E) 154200
Rationale: Perimeter = Distance covered in 9 min. = 12000 x 9 m = 1800 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1800 or x = 180.
Length = 540 m and Breadth = 360 m.
Area = (540 x 360) m2 = 194400 m2.
D
Answer: (D) 194400
Question: Find the smallest number which when divided by 13 and 17 leaves respective remainders of 3 and 7.
(A) 187
(B) 211
(C) 207
(D) 219
(E) 227
Rationale: Let 'N' is the smallest number which divided by 13 and 17 leaves respective remainders of 3 and 7.
Required number = (LCM of 13 and 17) - (common difference of divisors and remainders) = (221) - (10) = 211.
ANSWER:B
Answer: (B) 211
Question: If x^2 – 13x + 40 = q, and x is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?
(A) 1/5
(B) 1/10
(C) 2/5
(D) 3/5
(E) 3/10
Rationale: (x-5)(x-8) = q
x = 6 or 7 for this to be true, so
2/10 = 1/5
Ans :A
Answer: (A) 1/5
Question: Without stoppages a train travels a certain distance with an average speed of 180 kmph and with stoppages it covers the same distance with an average speed of 90 kmph. What is the time in minutes per hour for which train stops?
(A) 10 min/hr
(B) 20 min/hr
(C) 25 min/hr
(D) 30 min/hr
(E) 35 min/hr
Rationale: Pick a smart number for the distance. lets say LCM 180
Without = 180/180 = 1 hours
With = 180/90= 2 hours
So in a trip of 2 hours, 1 hour is spent in stoppages
Hence, 60/2 = 30 min/hr on stoppages
Answer : D
Answer: (D) 30 min/hr
Question: Find large number from below question The difference of two numbers is 1370. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
(A) 1245
(B) 1345
(C) 1455
(D) 1577
(E) 1641
Rationale: Let the smaller number be x. Then larger number = (x + 1370).
x + 1370 = 6x + 15
5x = 1355
x = 271
Large number = 271+1370 = 1641
E
Answer: (E) 1641
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
(A) 382
(B) 782
(C) 278
(D) 270
(E) 881
Rationale: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m.
Answer: D
Answer: (D) 270
Question: five friends A, B,C,D and E decided to share a lot of apples. Each of them had half of the total plus half an apple in order. After each of them took their share 2 time, no apples were left.How many apples were there?
(A) 1023
(B) 1024
(C) 1026
(D) 1029
(E) 1020
Rationale: Whenever the rate of reduction is 'half of the total and half of it', the answer is always (2^n)-1, where 'n' is the number of times the process is repeated. Here, the process is repeated 10 times. So answer is (2^10)-1=1023
Answer A
Answer: (A) 1023
Question: The combined salaries of three brothers is $225,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
(A)  35,000
(B)  55,000
(C)  50,000
(D)  30,000
(E)  40,000
Rationale: Mr. Small = x;
Mr. Middle = 3/2*x;
Mr. Big = 2x.
x + 3/2*x + 2x = 225 --> x=50
Answer: C
Answer: (C)  50,000
Question: A car going at 30 miles per hour set out on an 80-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.?
(A)  45
(B)  50
(C)  53
(D)  55
(E)  60
Rationale: Let Car A = car that starts at 9 AM
Car B = car that starts at 9:10 AM
Time for which car A travels at speed of 30 m per hour = 1.5 hours
Distance travelled by Car A =30 *1.5 = 45 miles
Since Car B catches up Car A at 10:30 , time = 80 mins = 4/3 hour
Speed of Car B = 45/(4/3) = 60 miles per hour
Answer E
Answer: (E)  60
Question: At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 30 of which were white and 5 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%
Rationale: R + W + P = 120
S + L = 120
1/3 * 120 = 40
Short-Stemmed White = 30
Short-Stemmed Pink = 5
=> Short-Stemmed Red = 5
5/P = 5/R
=> R = P
So Total Long Stemmed = 80
And Long Stemmed Red + Long Stemmed Pink = 80
So Long Stemmed Red/Long Stemmed = ?
Total White = 30 (As no Long stemmed white)
=> R + R + 30 = 120
=> 2R =90 and R = 45
Long Stemmed R = 45 - 5 = 40
So Long Stemmed Red/R = 40/80 = 50%
Answer - E
Answer: (E) 80%
Question: Find the area of trapezium whose parallel sides are 28 cm and 20 cm long, and the distance between them is 21 cm?
(A) 288 cm2
(B) 277 cm2
(C) 504 cm2
(D) 510 cm2
(E) 287 cm2
Rationale: Area of a trapezium = 1/2 (sum of parallel sides) * (perpendicular distance between them)
= 1/2 (28 + 20) * (21)
= 504 cm2
Answer: C
Answer: (C) 504 cm2
Question: A plot is sold for Rs. 18,700 with a loss of 15%. At what price it should be sold to get profit of 15%?
(A) Rs 25300
(B) Rs 22300
(C) Rs 24300
(D) Rs 21300
(E) None of these
Rationale: Explanation :
This type of question can be easily and quickly solved as following:Let at Rs x it can earn 15% profit
85:18700 = 115:x [as, loss = 100 -15, Profit = 100 +15]x = (18700 X 115)/85
= Rs.25300
Answer : A
Answer: (A) Rs 25300
Question: In how many years will a sum of money doubles itself at 18% per annum on simple interest?
(A) 5.9%
(B) 5.5%
(C) 6%
(D) 6.4%
(E) 7.5%
Rationale: P = (P*18*R)/100
R = 5.5%
Answer:B
Answer: (B) 5.5%
Question: If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of elevation of the sun.
(A) 30°
(B) 45°
(C) 60°
(D) 90°
(E) None of these
Rationale: Solution
Let AB be the pole and AC be its shadow.
Then, < ACB	= θ.
Then, AB= 2 √3 m, AC = 2m,
tanθ= AB/AC=2√3/2
= √3
θ=60°
Answer C
Answer: (C) 60°
Question: Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
(A) 288
(B) 268
(C) 375
(D) 166
(E) 131
Rationale: A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = 1/4 * 1500 => 375
Answer: C
Answer: (C) 375
Question: For any positive x, y and z if x is n% of y and z is m% of y then what percentage must x be of z?
(A) (n/m)%
(B) (m × n)%
(C) (100 / [m × n]) %
(D) (100 × m/n)%
(E) (100 × n/m)%
Rationale: x is n% of y: x=n/100∗y
z is m% of y: z=m100∗y
What percentage must x be of z: xz∗100=n/m∗100
Answer: E.
Answer: (E) (100 × n/m)%
Question: Three people are to be seated on a bench. How many different sitting arrangements are possible if Erik must sit next to Joe?
(A) 2.
(B) 4.
(C) 6.
(D) 8.
(E) 10.
Rationale: Possible combinations can be
1. Erik Joe X
2. X Erik Joe
3. Joe Erik X
4. X Joe Erik
Hence, answer is B.
Answer: (B) 4.
Question: What will be the output of the following code statements?
Integer a = 25, b = 40, c = 10 print (a × b / c) – c
(A) 65
(B) 26
(C) 29
(D) 26
(E) 90
Rationale: Explanation:
Apply BODMAS rule
25 × 40 = 1000/10-10 =100 –10 =90
Answer:E
Answer: (E) 90
Question: Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 40hr. If all pipes are opened simultaneously, then the cistern will be filled in
(A) 6.32 hr
(B) 8 hr
(C) 8.5 hr
(D) 10 hr
(E) None of these
Rationale: Solution:
Work done by all the tanks working together in 1 hour.
1/10+1/12−1/40=3/19
Hence, tank will be filled in 19/3=6.32 hour
Option(A)
Answer: (A) 6.32 hr
Question: A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2. The ratio of economy cars to sport utility vehicles is 5:4. What is the ratio of luxury cars to sport utility vehicles?
(A) 9:8
(B) 8:9
(C) 3:2
(D) 10:12
(E) 1:2
Rationale: The ratio of economy to luxury cars is 3:2 --> E:L = 3:2 = 15:10.
The ratio of economy cars to sport utility vehicles is 5:4 --> E:S = 5:4 = 15:12.
Thus, L:S = 10:12.
Answer: D.
Answer: (D) 10:12
Question: The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 70 black cars in the lot, how many red cars are there in the lot?
(A) 11
(B) 26
(C) 24
(D) 27
(E) 32
Rationale: B is correct
R/B = 3/8 and B =70
R = 70*3/8 = 26
Answer: (B) 26
Question: A train 70 m long, running with a speed of 63 km/hr will pass a tree in?
(A) 140 sec
(B) 160 sec
(C) 176 sec
(D) 150 sec
(E) 170 sec
Rationale: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 70 * 2/35 = 140 sec
Answer:A
Answer: (A) 140 sec
Question: Find the middle one when The sum of three consecutive even numbers is 36?
(A) 10
(B) 12
(C) 14
(D) 18
(E) 22
Rationale: 3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
Answer: (B) 12
Question: BIRLA company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (ie. two to one truck, one to another, and one to another). In how many different ways could the boxes be put on the four trucks?
(A)  16
(B)  64
(C)  256
(D)  576
(E)  4096
Rationale: MAGOOSHOFFICIAL SOLUTION:
BIRLA company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination.Where we put one box has absolutely no bearing on where we put any of the other boxes. The placement of the four boxes is completely independent of one another. For each box, we have four choices.
N = 4*4*4*4 = 16*16 = 256
Answer = (C)
Answer: (C)  256
Question: Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
(A) 1235
(B) 1345
(C) 1450
(D) 1567
(E) 1635
Rationale: Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Large number = 270+1365 = 1635
E
Answer: (E) 1635
Question: The center of a circle lies on the origin of the coordinate plane. If a point (x, y) is randomly selected inside of the circle, what is the probability that y > x or x > 0?
(A) 7/8
(B) 5/6
(C) 3/8
(D) 1/2
(E) 3/4
Rationale: The line y=x divides the circle into two equal areas.
All the points above the line y=x satisfy the condition that y > x.
All the points to the right of the y-axis satisfy the condition that x > 0.
The union of these two areas is 7/8 of the circle.
The answer is A.
Answer: (A) 7/8
Question: 11 is subtracted from 40% of a number and results is 23. What is the number?
(A) 160
(B) 92
(C) 88
(D) 85
(E) 34
Rationale: (40/100) * X â€“ 11 = 23
4X = 340
X = 85
Answer:D
Answer: (D) 85
Question: 22
a2
+ 3b
____
80
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ?
(A) 2
(B) 7
(C) 9
(D) 11
(E) 14
Rationale: Adding the digits in unit's place , 2+ 2 + b = 10 (Since a and b are positive single digits )
=> b = 6
Now adding the digits in ten's place , 2+a + 3 + 1= 8 (1 has been carried over from unit's place addition)
=> a= 2
a+2b = 2+2*6
=14
Answer E
Answer: (E) 14
Question: The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
(A) 24
(B) 26
(C) 27
(D) 29
(E) 30
Rationale: 5:3:4
Total parts = 12
12 parts --> 108
1 part ---->9
The second number of the three numbers is = 3
3 parts ----> 27
C
Answer: (C) 27
Question: 20.05 + 35.603- …… =43.087
(A) 10.263
(B) 12.566
(C) 15.426
(D) 13.286
(E) 14.286
Rationale: 20.05 + 35.603- 43.087 = 55.653- 43.087
= 12.566
ANSWER:B
Answer: (B) 12.566
Question: Four people need to cross a dark river at night.
* They have only one torch and the river is too risky to cross without the torch.
* If all people cross simultaneously then torch light wont be sufficient.
* Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes.
What is the shortest time needed for all four of them to cross the river ?
(A) 17 minutes
(B) 18 minutes
(C) 19 minutes
(D) 20 minutes
(E) 21 minutes
Rationale: Solution:
17 min
The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 minutes. Is that it? No. That would make this question too simple even as a warm up question.
Let's brainstorm a little further. To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.
1 and 2 go cross
2 comes back
7 and 10 go across
1 comes back
1 and 2 go across (done)
Total time = 2 + 2 + 10 + 1 + 2 = 17 minutes
Answer A
Answer: (A) 17 minutes
Question: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
(A) 42
(B) 56
(C) 74
(D) 36
(E) 55
Rationale: x/7 = y/9 => x:y = 7:9
7/16 * 96 = 42
ANSWER A
Answer: (A) 42
Question: A sum of Rs.5000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
(A) 2888
(B) 3120
(C) 2877
(D) 2999
(E) 3250
Rationale: Let A be the amount received at the end of the three years.
A = 5000[1 + 10/100][1 + 20/100][1 + 25/100]
A = (5000 * 11 * 6 * 5)/(10 * 5 * 4)
A = Rs.8250
So the interest = 8250 - 5000 = Rs.3250
Answer: E
Answer: (E) 3250
Question: The rate of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. If the concentration of chemical B is increased by 30%, which of the following is closest to the percent change in the concentration of chemical A required to keep the reaction rate unchanged?
(A) 100% decrease
(B) 60% decrease
(C) 40% decrease
(D) 40% increase
(E) 50% increase
Rationale: The rate of reaction is invesrsly proportional to the concentration of chemical B present. It used to have B=1 . Now that B is increased by 30%. So the new equation would be 2B=(1/2). In order for the rate of reaction to still be 1, we need to change the concentration of A to yield a 2. It used to be A^2=1, now the new equation should be (sqrt(2)*A)^2=2. The change in the concentration of A can be calculated as (sqrt(2) -1)/1 or approximately 40% increase. Answer B.
Answer: (B) 60% decrease
Question: In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 5 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
(A) 168.
(B) 80.
(C) 56.
(D) 48.
(E) 64.
Rationale: Bed = Select 1 out of 4 = 4C1 = 4
Shelf = Select 1 out of 2 = 2C1= 2
Chair (5)+ Closet (3) = Total 8 = Select 1 out of 8 = 8C1
Possible combinations to chooseBED*SHELF*(CHAIR+CLOSET)=4*2*8=64 ways
ANSWER IS E
Answer: (E) 64.
Question: For a,e,d are the positive integers, and d|a means that “a is divisible by d”, if d|ae, which of the following must be true?
(A) d|a
(B) d|e
(C) d|2ae
(D) d|(a+e)
(E) d|(a-e)
Rationale: d/a means a is divisible by d
d/ae means ae divisible by d.
all are integers so ,
if ae is divisible by d,
1 a can be divisible by d
or
2 e can be divisble by d.
so the question stem asks must true.
so option a and b are could but not must.
option c is 2ae divisible by d. if ab is divisible by d then 2ae is divisible by d.
option d and e we can't predict.
so option C is correct.
Answer: (C) d|2ae
Question: The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8600 for a computer table, then what was the cost price of the computer table?
(A) Rs.6289
(B) Rs.6298
(C) Rs.6290
(D) Rs.7166
(E) Rs.7708
Rationale: CP = SP * (100/(100 + profit%))
= 8600(100/120) = Rs.7166.
Answer: D
Answer: (D) Rs.7166
Question: How many two-digit numbers yield a remainder of 2 when divided by both 5 and 16?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: Easier to start with numbers that are of the form 16p+2 ---> 18,34,50,66,82,96.
Out of these,there is only one number (82) is also of the form 5q+2. Thus 1 is the answer. B is the correct answer.
Answer: (B) 1
Question: A committee has 5 men and 6 boys. What are the number of ways of selecting 2 men and 3 boys from the given committee?
(A) A)165
(B) B)178
(C) C)180
(D) D)200
(E) E)210
Rationale: Explanation:
The number of ways to select two men and three boys = âµCâ‚‚ * â¶Câ‚ƒ
= (5 *4 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 200
D)
Answer: (D) D)200
Question: Two taps A and B can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time. If the tap A is turned off after 4 minutes, how long will tap B take to fill the rest of the cistern ?
(A) 8 min.
(B) 9 min.
(C) 10 min.
(D) 7 min.
(E) None of these
Rationale: In one min, (A + B) fill the cistern = 1⁄12 + 1⁄18 = 5⁄36th
In 4 min, (A + B) fill the cistern = 5⁄36 × 4 = 5⁄9th
Rest part = 1 - 5⁄9 = 4⁄9th
∵ 1⁄18th part is filled by B in one min.
∴ 4⁄9th part is filled by B in 18 × 4⁄9 = 8 min
Answer A
Answer: (A) 8 min.
Question: Two trains 160 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
(A) 10.52 sec
(B) 18.8 sec
(C) 14.52 sec
(D) 10.8 sec
(E) 11.52 sec
Rationale: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 160 + 160 = 320 m.
Required time = 320 * 9/250 = 288/25 = 11.52 sec.
Answer: E
Answer: (E) 11.52 sec
Question: What is the maximum number of points that 10 circles of different radii intersect?
(A) 24
(B) 26
(C) 33
(D) 90
(E) 100
Rationale: the maximum number of points that two circles intersect is two.
therefore, each of these 10 circles intersect two point with each of the other 9 circles.
as a consequence, the number of these points is equal to two times the number of combination of the 10 circles.
2∗(10!)/(2!∗10!)=90
Answer: D
Answer: (D) 90
Question: A “palindromic integer” is an integer that remains the same when its digits are reversed. So, for example, 43334 and 516615 are both examples of palindromic integers. How many 6-digit palindromic integers are both even and greater than 700,000?
(A) 60
(B) 100
(C) 180
(D) 240
(E) 300
Rationale: The first digit and last digit are the same so the only possibility is 8.
The second and third digits can be any number from 0 to 9.
The total number of palindromic integers is 1*10*10 = 100
The answer is B.
Answer: (B) 100
Question: Which of the following is the full form of the term SLR as used in the banking sector?
(A) Social Lending Ratio
(B) Statutory Liquidity Ratio
(C) Scheduled Liquidity Rate
(D) Separate Lending Rate
(E) None of these
Rationale: Answer:B
Answer: (B) Statutory Liquidity Ratio
Question: Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 36 minutes. The waste pipe can empty the full cistern in?
(A) 8.2
(B) 7.2
(C) 6.2
(D) 9.2
(E) 5.2
Rationale: 1/10 + 1/15 - 1/x = 1/36
x = 7.2
Answer:B
Answer: (B) 7.2
Question: A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
(A) 300
(B) 340
(C) 350
(D) 320
(E) 310
Rationale: Speed = [300 / 18] m/sec = 50/3 m/sec.
Let the length of the platform be x meters.
Then, x + 300 / 39 = 50/3
3(x + 300) = 1950 è x = 350m.
Answer: Option C
Answer: (C) 350
Question: If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 5 m of the same rod?
(A) 22.8 kg
(B) 25.6 kg
(C) 19 kg
(D) 26.5 kg
(E) None of these
Rationale: Explanation :
Let the required weight be x kg. Then, Less length, Less weight (Direct Proportion)
=> 11.25 : 5 :: 42.75 : x
=> 11.25 x x = 5 x 42.75
=> x = (5 x 42.75) / 11.25
=> x = 19
Answer : C
Answer: (C) 19 kg
Question: It takes 80 identical printing machines 5 hours to print 200,000 posters. How long would it take 50 of these machines to print the same total?
(A) 6 hr, 40 min
(B) 7 hr
(C) 7 hr, 30 min
(D) 8 hr
(E) 10 hr
Rationale: 50% of 80 = 40% or 0.40
5 hr x 60 min = 300 min
300 min x 0.40 = 120 min
120 min + 5 hr = 2 hr + 5 hr = 7 hr total
It will take 50 machines 7 hours to print the same amount of posters.
Answer is B
Answer: (B) 7 hr
Question: How many words with or without meaning, can be formed by using all the letters of the word, â€˜MOUSEâ€™, using each letter exactly once?
(A) 120
(B) 140
(C) 160
(D) 720
(E) 820
Rationale: The word â€˜MOUSEâ€™ contains 5 different letters.
Therefore, Required number of words= Number of arrangement of 5 letters, taken all at a time
=5P5
= 5!
= 5*4*3*2*1
= 120
ANSWER:A
Answer: (A) 120
Question: Find the angle between the hour hand and the minute hand of a clock when
3.25.
(A) 47.5
(B) 46.5
(C) 45.5
(D) 48.5
(E) 44.5
Rationale: angle=30(hours)-(11/2)(minutes)
=30*3-(5.5*25) (hour=3 and minutes=25)
=90-137.5
=47.5
ANSWER:A
Answer: (A) 47.5
Question: x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median Q of x, y, and z?
I. 9
II. 10
III. 11
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
Rationale: Average gives us an idea that 3 nos. are close to 10.
so 10, 10, 10 is an unacceptable option because (z-x =3), but it helps in getting other combinations.
Let us see options.
If 9 has to be median.
1st term has to less than 9 or equal to 9. (also maintain z-x = 3)
9 9 12 --> satisfies all conditions so 9 can be a median value.
If 11 has to be a median
3rd term has to be 11 or more than 11. (also maintain z-x = 3)
8 11 11 -->satisfies all conditions so 9 can be a median value.
Now for 10 to be median Q.
z+ x = 20 and z-x = 3, we wont have integer values of z.
10 cannot be a median
E is the answer.
Answer: (E) I and III only
Question: The price of a laptop . set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
(A) A)19009
(B) B)19074
(C) C)19008
(D) D)19000
(E) E)19002
Rationale: Explanation:
Money paid in cash = R . 1000
Balance payment = (20000 - 1000) = Rs. 19000
Answer: Option D
Answer: (D) D)19000