divelab/Sys2Bench huggingface dataset:
Question: On January 1, 2004 two new societies, S1 and S2, are formed, each with n members. On the first day of each subsequent month, S1 adds b members while S2 multiplies its current number of members by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r?
Options:
A)2
B)9
C)1.8
D)1.7
E)None
Rationale: Explanation :
Jan 1 – S1 and S2 has n members. Till july 2nd, there are 6 more months, and hence 6 more additions.
In S1, b members are added each month. So after 6 months, S1 has n + 6b.
In S2, r members are multiplied each month. So after 6 months, S2 has n * r6.
After 6 months, both are same, hence
=> n + 6b = nr6. ----------------- (1)
=> b = 10.5 n. (given)
=> 6b = 63n hence.
Substituting in (1)
So, 64n = nr6. Cancelling n on both sides, we have r6 = 64 or r = 2.
Answer : A
Answer: A
Question: A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Options:
A)1999
B)1900
C)19077
D)19055
E)19012
Rationale: 65 * 6 : 84 * 5 : 100 * 3
26:28:20
C share = 74000 * 95/100 = 7030 * 20/74 => 1900
Answer: B
Answer: B
Question: Seven different books (A, B, C, D,E,F and G) are to be arranged on a shelf. Books A , B and C are to be arranged first and second starting from the right of the shelf. The number of different orders in which books D,E, F and G may be arranged is
Options:
A)4!
B)15!
C)16!
D)28!
E)42!
Rationale: Solution
Since books A,B and C are arranged first and second, only books D, E,F and G will change order. Therefore it an arrangement problem involving 4 items and the number of different order is given by
4!
Answer A
Answer: A
Question: The H.C.F. of two numbers is 18 and the other two factors of their L.C.M. are 11 and 15. The larger of the two numbers is:
Options:
A)270
B)300
C)299
D)322
E)345
Rationale: the numbers are (18 x 11) and (18 x 15).
Larger number = (18 x 15) = 270.
ANSWER :A
Answer: A
Question: Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 9:00 am and Pipe B at 10:00 am, at what time will the pool be full?
Options:
A)19:00
B)17:00
C)16:00
D)18:00
E)20:00
Rationale: Pipe A fills the pool in 4 hrs.
1 hour's work : 1/4
Pipe B empties the pool in 6 hrs.
1 hour's work : 1/6
Together if they work, 1 hour's work = 1/4 -1/6 = 1/12
Given : Pipe A started at 9:00 a.m and Pipe B at 10:00 a.m
Pool filled after 1 hour by Pipe A : 1/4 or 3/12
After 10:00 a.m
Pool filled after 1 hour with both the pipes on : 1/12
Pool filled after 9 hours with both pipes on : 9/12
Pool filled in 1 hour + Pool filled in 9 hours = 3/12 +9/12 =1
Therefore, it takes 10 hrs to fill the pool
As Pipe A started at 9:00 a.m, pool is full at 19:00 hrs
Answer : A
Answer: A
Question: Sum of ages of two friends is 25 while difference is 3 then their ages are
Options:
A)15 years, 17 years
B)11 years, 14 years
C)16 years, 20 years
D)10 years, 16 years
E)None
Rationale: 11,14
ANSWER:B
Answer: B
Question: If x is even and y is odd, which of the following is odd?
Options:
A)xy
B)5xy
C)6(x^2)y
D)5x + 6y
E)6x + 5y
Rationale: Just checking options (In case you have difficulty then choose values of r=2 and t=1)
x = even
y= Odd
A. xy = Even*Odd = EvenINCORRECT
B. 5xy = Odd*Even*Odd = EvenINCORRECT
C. 6(x^2)y = 6*(Even^2)*Odd = EvenINCORRECT
D. 5x + 6y = 5*Even + 6*Odd = Even+Even = EvenINCORRECT
E. 6x + 5y = 6*Even + 5*Odd = Even+Odd = OddCORRECT
Answer: option E
Answer: E
Question: The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 50 instead of 10 then find the correct average marks?
Options:
A)A)78
B)B)82
C)C)96
D)D)91
E)E)85
Rationale: correct avg marks = 100+(10-50)/10
avg = 100-4 = 96
Answer is C
Answer: C
Question: The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the elder person is
Options:
A)25 years
B)30 years
C)35 years
D)40 years
E)None
Rationale: Sol.
Let their ages of x years and (x + 10) years respectively.
Then, (x + 10) - 15 = 2(x - 15)
⇔ x - 5 = 2x - 30
⇔ x = 25.
∴ Present age of the elder person = (x + 10)
= 35 years.
Answer C
Answer: C
Question: How many times does the minute hand go round in a day?
Options:
A)21
B)20
C)12
D)26
E)25
Rationale: C
12
period = 65 minutes/60 minutes = 1.08.
The number of cycles per hour then = 1/period = 1/1.08 = .923.
The number of cycles in 24 hours, then = (0.923)(24) = 22.153. That's how you compute how many times the minute hand catches up the hour hand in 24 hours (round to 22)
Answer: C
Question: If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss.
Options:
A)$ 40.
B)$ 50.
C)$ 60.
D)$ 70.
E)None
Rationale: Solution:
Cost of 20 lollipops = $90
Sold each lollipop for $2
So he sold 20 lollipops for $(20 × 2) = $40
Loss = $(90 – 40) = $50
Therefore, loss = $ 50.
Answer B
Answer: B
Question: A committee has 3 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?
Options:
A)127
B)60
C)882
D)272
E)323
Rationale: The number of ways to select two men and three women
= 3C₂ * ⁶C₃
= (3 *2 )/(2 * 1) * (6 * 5 * 4)/(3 * 2)
= 60
Answer: B
Answer: B
Question: In shop contains 500 articles each of a cost of $10. He sold them at a price of $12. If the shop keeper has a order of 200 articles, how much profit he will get?
Options:
A)200
B)2000
C)1500
D)400
E)600
Rationale: Total money after selling articles = 200*12 = 2400
cost price = 200*10 = 2000
profit = 400
correct option is D
Answer: D
Question: Last year, the price of a vacation package was P. At the beginning of this year, the price went up 45%. Lucas used a travel voucher to purchase the vacation package at 35% off this year’s price. In terms of P, how much did Lucas pay?
Options:
A) P + 10
B) 0.91*P
C) 0.92*P
D) 0.93*P
E) 0.94*P
Rationale: Last year price = P;
This year price = 1.45P;
Lucas used a travel voucher to purchase the vacation package at30%offthis year’s price, thus he paid (1 - 0.35)*1.45P = 0.94P.
Answer: E.
Answer: E
Question: For all even integers n, h(n) is defined to be the sum of the even integers between 6 and n, inclusive. What is the value of h(18)/h(10) ?
Options:
A) 1.8
B) 4
C) 6
D) 18
E) 60
Rationale: CONCEPT: When terms are in Arithmetic Progression (A.P.) i.e. terms are equally spaced then
Mean = Median =(First+Last)/2
and Sum = Mean*Number of terms
h(18) = [(6+18)/2]*7 = 84
h(10) = (6+10)/2]*3 = 24
h(18)/h(10) = (84) / (24) ~ 4
Answer : B
Answer: B
Question: A certain article of clothing was discounted during a special sale to 4/5 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
Options:
A)50%
B)33.33%
C)40%
D)16.66%
E)12.5%
Rationale: Say the original retail price of the item was $200.
The price after the first sale = 4/5 * $200 = $160.
The price after the second sale = 1/2 * $200 = $100.
The percent change from the first sale to the second = (160 - 100) / 150 = 1/3 = 40%.
Answer: C.
Answer: C
Question: Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Options:
A)s.10
B)s.2
C)s.5
D)s.3
E)s.4
Rationale: 2500 = D(100/4)2
D = 4
ANSWER:E
Answer: E
Question: The height of the wall is 6 times its width and length of the wall is 7 times its height .if the volume of the wall be 86436 cu.m.its width is
Options:
A)4m
B)5m
C)6m
D)7m
E)8m
Rationale: Explanation:
Let width = x
Then, height=6x and length=42x
42x Ã— 6x Ã— x = 86436
x = 7
Answer: D
Answer: D
Question: If m = 3^n, what is the greatest value of n for which m is a factor of 31!
Options:
A)8
B)10
C)12
D)14
E)16
Rationale: Solution-
Consider multiples of 25!=> 3,6,9,12,15,18,21,24,27,30
Count no. of 3 in each multiple.
3=3x1->1
6=3x2->1
9=3x3->2
12=3x4->1
15=3x5->1
18=3x3x2->2
21=3x7->1
24=3x8->1
27=3x3x3->3
30=3x10->1
---- count 3's =14 so answer is 14
Answer : D
Answer: D
Question: A watch was sold at a loss of 12%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Options:
A)875
B)2876
C)1977
D)2778
E)2711
Rationale: 88%
104%
--------
16% ---- 140
100% ---- ? => Rs.875
Answer: A
Answer: A
Question: A single discount equivalent to the discount series of 30%, 20% and 10% is?
Options:
A)31.8
B)31.1
C)31.6
D)31.2
E)49.6
Rationale: Explanation:
100*(70/100)*(80/100)*(90/100) = 50.4
100 - 50.4 = 49.6
Answer: E
Answer: E
Question: On a sum of money, the simple interest for 2 years is Rs. 330, while the compound interest is Rs. 340, the rate of interest being the same in both the cases. The rate of interest is
Options:
A)15%
B)14.25%
C)6.06%
D)10.5%
E)11.5%
Rationale: Explanation:
The difference between compound interest and simple interest on Rs. P for 2 years at R% per annum
= (R Ã— SI)/(2 Ã— 100)
Difference between the compound interest and simple interest = 340 - 330 = 10
(R Ã— SI)/(2 Ã— 100) = 10
(R Ã— 330)/(2 Ã— 100) = 10
R = 6.06%
Answer: Option C
Answer: C
Question: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following can be the difference of A and B ?
Options:
A)73
B)44
C)27
D)21
E)91
Rationale: A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:
A = 10x + y
B = 10y + x
A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option C is a multiple of 9.
Answer: C.
Answer: C
Question: y = 2x^2 + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?
Options:
A)-120.5
B)-124.5
C)-128.5
D)-132.5
E)132.5
Rationale: As the curve cuts the x-axis at (h,0) and (k,0). Therefore h,k are the roots of the quadratic equation.
For the quadratic equation is in the form of ax^2+bx+c=0,
The product of the roots =c/a= 256/2=128 and the sum of the roots =-b/a=-b
128 can be expressed as product of two numbers in the following ways:
1 * 256
2 * 128
4 * 64
8 * 32
16 * 16
The sum of the roots is maximum when the roots are 1/2 and 128 and the maximum sum is 1/2 + 128 = 128.5
The least value possible for b is therefore -128.5.
C
Answer: C
Question: Alice leaves her home and walks toward Bob's house. One hour later, Bob leaves his home and walks toward Alice's house. The distance between their homes is 41 kilometers, Alice's walking speed is 5 km/h, and Bob's walking speed is 4 km/h. How many kilometers will Alice walk before she meets Bob?
Options:
A)22
B)25
C)27
D)38
E)30
Rationale: Alice walks 5 km in the first hour so there are 36 km remaining.
When Bob starts walking, they complete a total of 9 km per hour.
They will meet four hours after Bob starts walking.
Since Alice walks for 5 hours, she walks 25 km.
The answer is B.
Answer: B
Question: Which of the following fractions, if written as a decimal, would have a 2 in the thousandths place ?
Options:
A)3/11
B)7/9
C)1/8
D)4/7
E)1/6
Rationale: Here rewriting the fractions
A)0.2727272727272727...
B)0.777777
C)0.25
D)0.5714285...
E)0.1666666
Clearly A will be our pick as the thousandths digit is 2
Hence A
Answer: A
Question: A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?
Options:
A)The even numbered statements are true and the odd numbered statements are false.
B)The odd numbered statements are true and the even numbered statements are false.
C)All the statements are false.
D)The 39th statement is true and the rest are false
E)The 69th statement is true and the rest are false
Rationale: Assume there is only one statement is there. The statement should read "Exactly 1 statement on this sheet is false" . If the truth value of the statement is true, then given statement should be false. This is contradiction. If the statement is false, Then the given statement is true. but there is not other true statement.
Assume there are two statements. By the above logic, 2nd statement should not be true. But 1st statement is true as it truthfully says the truthfulness. By this logic we know that If there are "n" statements, (n-1)th statement is the only true statement And all other are false
Answer:B
Answer: B
Question: A train covers a certain distance at a speed of 200kmph in 4 hours. To cover the same distance in 2 hours, it must travel at a speed of
Options:
A)400 km/hr
B)420 km/hr
C)450 km/hr
D)470 km/hr
E)580 km/hr
Rationale: Explanation:
Distance = 200×4 = 800km
Required speed = (800/2) = 400km/hr
Answer: Option A
Answer: A
Question: There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle.
Options:
A)99
B)277
C)12
D)989
E)221
Rationale: Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a2 = 784 = (4)(196) = (22).(142)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.
Answer: C
Answer: C
Question: There are 13 which, 15 black, 16 red hats on a table. In one step, you may chose two hats of different colors and replace each one by a hat of the third color. After how many steps this can be reached?
Options:
A)2
B)7
C)3
D)9
E)1
Rationale: Let the initial number of hats are (a, b, c). In one step the hats color may change into one of the following (a+2, b-1, c-1), (a-1, b+2, c-1), (a-1, b-1, c+2). In each of these cases, difference between any two colored hats should be divisible by 3 to reach mono chromatic stage. ie., a + b + c should also be divisible by 3.
In this case sum is not divisible by 3 so the final stage cannot be reached.
Answer:C
Answer: C
Question: A row of ants comprised of 102 ants. A man walked upon it and all except 42 were crushed beneath his foot.
How many ants are left alive?
Options:
A)41
B)42
C)43
D)44
E)45
Rationale: Solution:
All except 42 were crushed means that all the ants except 42 were crushed beneath the man's foot. Hence, 42 ants are alive now
Answer B
Answer: B
Question: John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 4% and the mobile phone at a profit of 10%. Overall how much he make aprofit.
Options:
A)Rs. 90
B)Rs. 120
C)Rs. 200
D)Rs. 250
E)Rs. 290
Rationale: Let the SP of the refrigerator and the mobile phone be Rs. r and Rs. m respectively.
r = 15000(1 - 4/100) = 15000 - 600
m = 8000(1 + 10/100) = 8000 + 800
Total SP - Total CP = r + m - (15000 + 8000) = -600 + 800 = Rs. 200
As this is positive, an overall profit of Rs. 200 was made.
C
Answer: C
Question: If x > 2000, then the value of (x)/(2x+1) is closest to?
Options:
A)1/6
B)1/3
C)10/21
D)1/2
E)3/2
Rationale: assume x = 1999
(x)/(2x+1) = 1999 / (1999*2+1)
=1999 / 3999
= = 1/2
Ans - D
Answer: D
Question: If the cost price is 91% of sp then what is the profit %
Options:
A)9.89%
B)8.90%
C)9.00%
D)8.00%
E)9.27%
Rationale: Sol. sp=Rs100 : then cp=Rs 91:profit =Rs 9.
Profit={(9/91)*100}%=9.89%
Answer is A.
Answer: A
Question: In a race of 2.4 Kms. A beats B by 400 m or 20 sec. What is A’s time over the course?
Options:
A)1 min 30 sec
B)1 min
C)1 min 10 sec
D)1min 40 sec
E)1min 50 sec
Rationale: 2400*20/400=120
120-20=100sec=1 min 40 sec.
ANSWER:D
Answer: D
Question: On a certain road, 40% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on that road exceed the posted speed limit?
Options:
A)10.5%
B)12.5%
C)15%
D)22%
E)50%
Rationale: suppose there are X motorists.
40% of them exceeded the speed limit and received the ticket, i.e. 2X/5.
Again, suppose total no. of motorists who exceeded the speed limit are Y.
20% of Y exceeded the speed limit but didn't received the ticket, i.e. Y/5.
it means 4Y/5 received the ticket.
hence, 4Y/5 = 2X/5
or Y/X=1/2
or Y/X * 100= 1/2 * 100= 50%
E
Answer: E
Question: Tanks C and B are each in the shape of a right circular cylinder. The interior of tank C has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank C is what percent of the capacity of tank B?
Options:
A)75%
B)80%
C)100%
D)120%
E)125%
Rationale: B.
For C, r=8/2pi. Its capacity = (4pi)^2 * 10= 160pi
For B, r=10/pi. Its capacity = (5pi)^2 *8 = 200pi
C/B = 160pi/200pi = 0.8
Answer: B
Question: A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited?
Options:
A)300
B)250
C)400
D)500
E)None
Rationale: Solution: Let the number of people be x who has been asked for the donations.
People already solicited = 60% of x = 0.6x
Remaining people = 40% of x = 0.4x
Amount collected from the people solicited,
= 600 *0.6x = 360x
360x = 75% of the amount collected.
Remaining amount = 25% = 120x
Thus,
Average donations from remaining people,
= 120x /0.4x = 300.
Answer: Option A
Answer: A
Question: Train A left Centerville Station, heading toward Dale City Station, at 3: 00 p.m. Train B left Dale City Station, heading toward Centerville Station, at 3: 20 p.m. on the same day. The trains rode on straight tracks that were parallel to each other. If Train A traveled at a constant speed of 30 miles per hour and Train B traveled at a constant speed of 10 miles per hour, and the distance between the Centerville Station and Dale City Station is 90 miles, when did the trains pass each other?
Options:
A)4: 45 p.m.
B)5: 00 p.m.
C)5: 20 p.m.
D)5: 35 p.m
E)6: 00 p.m
Rationale: the distance travelled by the train A in first 20 minutes will be 10.
The distance which will be remaining is 80.
Now both trains are running in opposite direction.Their speed will be added so 40.
Time at which they will meet =80/40=2
time of train B will be 3:20 +2=5:20
ANSWER:C
Answer: C
Question: A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
Options:
A)12 cm
B)10 cm
C)83 cm
D)20 cm
E)30 cm
Rationale: 30 * 20 * x
= (8 * 5.5 * 1.5)/2=10
Answer:B
Answer: B
Question: A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
Options:
A)2 hours
B)7 hours
C)8 hours
D)3 hours
E)3 hours
Rationale: |-----------20--------------------|
50 40
D = 20
RS = 50 – 40 = 10
T = 20/10 = 2 hours
Answer:A
Answer: A
Question: Find the mean proportional of the following pairs of numbers 6 and 24.
Options:
A)27
B)28
C)29
D)23
E)12
Rationale: Required number of trees
= 24/36 * 42
= 28.
Answer:B
Answer: B
Question: A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 12m/h. what is the speedof the person while he was going to his office?
Options:
A)8km/h
B)12km/h
C)14km/h
D)16km/h
E)17km/h
Rationale: u = k , v= 3k
\inline \therefore \frac{2uv}{u+v}\: \: \Rightarrow \frac{2\times k\times 3k}{(k+3k)}=12
\inline \Rightarrow 1.5k = 12
\inline \Rightarrow k=8km/h
A
Answer: A
Question: 5 men and 3 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
Options:
A)1:1
B)1:3
C)2:1
D)2:3
E)None of these
Rationale: Explanation:
Let 1 man 1 day work = x
1 boy 1 day work = y
then 5x + 3y = 4(x+y)
=> x = y
=> x/y = 1/1
=> x:y = 1:1
Option A
Answer: A
Question: Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches?
Options:
A)25
B)43
C)42
D)40
E)18
Rationale: Area of Carol's rectangle = 24*5 = 120
Let width of Jordan's rectangle= w
Since , the areas are equal
3w = 120
=>w = 40
Answer D
Answer: D
Question: Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Options:
A)99
B)88
C)71
D)18
E)77
Rationale: 93 + 123 + 153 = a3 => a = 18
Answer: D
Answer: D
Question: Two planes take off from neighboring runways at the same time. The British Airways Jet heads directly East at 300 Km/Hr, while the American Airlines Jet takes off heading directly west at 250km/hr. At this speed, how long before the two planes are 2,000 Km away from each other?
Options:
A)4 hours
B)3.75 hours
C)3.0 hours
D)3.5 hours
E)3.63 Hours
Rationale: For every hour the planes travel in opposite directions, they are 550 Km away from each other. So to be 2,000 Km away, it would take (2,000 Km/550 Km/Hour= 3.63 Hours).
Answer is E
Answer: E
Question: If the sum of a number and its square is 210, What is the number?
Options:
A)16
B)14
C)25
D)87
E)171
Rationale: Explanation:
Let the integer be x.
Then, x + x2 = 210
x2 + x - 210 = 0
(x + 15) (x – 14) = 0
x = 14
ANSWER: B
Answer: B
Question: During a clearance sale, a retailer discounted the original price of its TVs by 30% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?
Options:
A)40%
B)45%
C)56%
D)60%
E)62.5%
Rationale: VERITAS PREPOFFICIAL SOLUTION:
C With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 30% off means that customers will pay 70% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 70% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 70% sale price. Using fractions, that means they pay: 4/5*(0.7) of the original price, which nets to 0.56 of the original price, or 56%.
Answer: C
Question: 80 370 860 ? 2440 3530
Options:
A)900
B)840
C)750
D)860
E)1550
Rationale: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530.
ANSWER:E
Answer: E
Question: In how many ways a committee consisting of 3 men and 2 women can be formed from 4 men and 9 women?
Options:
A)A)144
B)B)15
C)C)20
D)D)18
E)E)21
Rationale: Required number of ways = 4C3*9C2 = 4*36 = 144
Answer is A
Answer: A
Question: Average of first five multiples of 10 is
Options:
A)9
B)11
C)30
D)15
E)17
Rationale: Explanation:
Average=10(1+2+3+4+5) / 5=150 / 5=30
Option C
Answer: C
Question: Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato. If the remaining 360 acres of cleared land was planted with tomato, how many acres did the farmer own?
Options:
A)3250
B)3450
C)4000
D)3750
E)3800
Rationale: 60% of 90% = 54%, 30% 0f 90% = 27% so the remaining 90-54-27=9%=360 acres or 10% of 90%=9% --> 360/9*100=4000 acres Answer (C)
Answer: C