divelab/Sys2Bench huggingface dataset:
Question: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
Options:
A)4/5
B)3/5
C)3/10
D)1/5
E)1/10
Rationale: 100%-(15%+10%+55%)=20% remains for other allocations --> 20% = 20/100 = 1/5.
Answer: D.
Answer: D
Question: A can finish a work in 8 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?
Options:
A)3/5
B)3/6
C)3/7
D)3/8
E)None of these
Rationale: Explanation:
Please note in this question, we need to answer part of work for a day rather than complete work. It was worth mentioning here because many do mistake at this point in hurry to solve the question
So lets solve now,
A's 1 day work = 1/8
B's 1 day work = 1/4 [because B take half the time than A]
(A+B)'s one day work =
(1/8+1/4)=3/8
So in one day 3/8 work will be done
Answer: D
Answer: D
Question: A pharmaceutical company received $2 million in royalties on the first $15 million in sales of generic equivalent of one of its products and then $6 million in royalties on the next $72 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $15 million in sales to the next $72 million in sales?
Options:
A)25%
B)30%
C)32.5%
D)37.5%
E)40%
Rationale: change in ratio of royalties to sales = 2/15 -6/72 = 1/20
% decrease = (1/20)/(2/15) *100 = 37.5%
Answer: D)
Answer: D
Question: The workforce of Company X is 60% female. The company hired 22 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?
Options:
A)160
B)220
C)264
D)360
E)420
Rationale: Let's xx be total quantity of employees
0.6x=females before adding men
0.55(x+22)=females after adding men
as quantity of women doesn't change we can make an equation:
0.6x=0.55(x+22)
0.05x=12.1
x=242 - this is quantity of employees before adding 22 men
So after adding it will be 264
Answer is C
Answer: C
Question: If each side of the square is increased by 25% find the percentage change in its area?
Options:
A)89.45%
B)56.25%
C)89.98%
D)54.48%
E)45.0%
Rationale: let each side of the square be a. then area =a^2
new side=125a/100=5a/4
new area=(5a/4)^2=25a^2/16
increase in area=(25a^2/16-a^2)=9a^2/16
increased %=(9a^2/16*1/a^2*100)=56.25%
Answer is(B)
Answer: B
Question: A circular mat with diameter 16 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
Options:
A)5/12
B)2/5
C)1/3
D)3/4
E)5/6
Rationale: SO we are looking for the area of the cloth over the area of the table
Area of the Cloth = (pi)(r)^2 which is about (3)(8)(8)
Area of the Table = (24)(24)
So the quick way to estimate is looking at the fraction like this: (3/24)(64/24)
I hope this is easy to follow, so with some simplification i get (1/8)(8/3) = (1/3) Answer is C
Answer: C
Question: A AND B CAN DO A WORK IN 12 DAYS, B AND C IN 15 DAYS, C AND A IN 20 DAYS. IF A, B AND C WORK TOGETHER, THEY WILL COMPLETE THE WORK IN:
Options:
A)5 DAYS
B)7 5/6 DAYS
C)10 DAYS
D)15 2/3 DAYS
E)NONE OF THESE
Rationale: (A+B)'S 1 DAY'S WORK=1/12, (B+C)'S 1 DAY'S WORK = 1/15;
(A+C)'S 1 DAY'S WORK = 1/20
ADDING, WE GET : 2(A+B+C)'S 1 DAY'S WORK =(1/12+1/15+1/20)=12/60=1/5
(A+B+C)'S 1 DAY'S WORK = 1/10
SO, A, B AND C TOGETHER CAN COMPLETE THE WORK IN 10 DAYS.
CORRECT OPTION: C
Answer: C
Question: A student scored an average of 85 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
Options:
A)86
B)16
C)76
D)65
E)26
Rationale: Given M + P + C = 85 * 3 = 255--- (1)
M + P = 90 * 2 = 180 --- (2)
P + C = 70 * 2 = 140 --- (3)
Where M, P and C are marks obtained by the student in Mathematics, Physics and Chemistry.
P = (2) + (3) - (1) = 180 + 140 - 255
= 65
Answer:D
Answer: D
Question: The distance from City A to City B is 30 miles. While driving from City A to City B, Bob drives at a constant speed of 40 miles per hour. Alice leaves City A 30 minutes after Bob. What is the minimum constant speed in miles per hour that Alice must exceed in order to arrive in City B before Bob?
Options:
A)45
B)88
C)120
D)152
E)154
Rationale: The time it takes Bob to drive to City B is 30 / 40 =0.75 hours.
Alice needs to take less than 0.25 hours for the trip.
Alice needs to exceed a constant speed of 30 /0.25 = 120 miles per hour.
The answer is C.
Answer: C
Question: Sreenivas sells a table to Shiva at 10% profit and Shiva sells it to Mahesh at 10% loss. At what price did Sreenivas purchase the table if Mahesh paid Rs. 2178?
Options:
A)Rs. 2100
B)Rs. 2150
C)Rs. 2200
D)Rs. 2250
E)None of these
Rationale: Let the cost price of table for Sreenivas be Rs. x and given that, cost price of table for Mahesh = Rs. 2178.
=> (90%) of (110%) of x = Rs. 2178.
=> (90/100)(110/100)x = 2178
=> x = (2178 * 100)/(9 * 11)
=> x = Rs. 2200
ANSWER:C
Answer: C
Question: If 1/a^2 + a^2 represents the diameter of circle O and 1/a + a = 4, which of the following best approximates the circumference of circle O?
Options:
A)28
B)22
C)20
D)16
E)12
Rationale: Given that (1/a)+a =3
Square both sides of the equation:
We get,
[(1/a)^2 + a^2 + 2*(1/a)*a] = 9
=> (1/a)^2 + a^2 + 2 = 9
=> (1/a)^2 + a^2 = 7 ----------------- (1)
Diameter D = (1/a)^2 + a^2
= 7 (From (1))
So Radius = D/2 = 7/2
Circumference = 2*Pi*r
= 2*(22/7)*(7/2)
=20
So the answer should be C
Answer: C
Question: The difference between simple and compound interest on Rs. 1500 for one year at 10% per annum reckoned half-yearly is?
Options:
A)8.0
B)3.0
C)9.5
D)3.75
E)2.15
Rationale: S.I. = (1500 * 10 * 1)/100 = Rs. 150
C.I. = [1500 * (1 + 5/100)2 - 1500]
= Rs. 153.75 Difference = (153.75 - 150)
= Rs.3.75
Answer:D
Answer: D
Question: If -3x+2y=28 and 3x+6y=84, what is the product of x and y?
Options:
A)264.
B)428
C)0
D)462
E)642
Rationale: Given -3x+2y=28 ---Eq 1
3x + 6y =84 -- Eq 2
Sum both eqns we get 8Y = 112 => Y = 14
Sum 2Y in eq 1 => -3X - 28 = 28.
=> X = 0
Now XY = 0 * 14 = 0.
Option C is correct answer.
Answer: C
Question: A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
Options:
A)9:1
B)4:7
C)7:1
D)2:5
E)None of these
Rationale: Explanation:
Milk = 3/5 * 20 = 12 liters, water = 8 liters
If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.
Remaining milk = 12 - 6 = 6 liters
Remaining water = 8 - 4 = 4 liters
10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.
The ratio of milk and water in the new mixture = 16:4 = 4:1
If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 * 10 = 8 liters.
Amount of water removed = 2 liters.
Remaining milk = (16 - 8) = 8 liters.
Remaining water = (4 -2) = 2 liters.
The required ratio of milk and water in the final mixture obtained = (8 + 10):2 = 18:2 = 9:1.
ANSWER IS A
Answer: A
Question: 0.03 x 0.5 = ?
Options:
A)0.0001
B)0.001
C)0.015
D)0.1
E)NONE OF THESE
Rationale: Explanation:
3 x 5 = 15.
Sum of decimal places = 3
0.02 x 0.5 = 0.015
Answer- C
Answer: C
Question: A train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. Find the speed of the train.
Options:
A)45 kmph
B)50 kmph
C)55 kmph
D)60 kmph
E)70 kmph
Rationale: Explanation:
Let the speed of the train be x kmph.
Speed of the train relative to man = (x + 5) kmph = (x + 5) ×5/18 m/sec.
Therefore 100/((x+5)×5/18)=6 <=> 30 (x + 5) = 1800 <=> x = 55
Speed of the train is 55 kmph.
Answer: Option C
Answer: C
Question: A present value of a machine is $2000. Its value depletiation rate is 20% per annum then find the machine value before 2 years?
Options:
A)$3125
B)$2945
C)$3012
D)$2545
E)$3150
Rationale: P= $2000
R = 20%
T = 2 years
Machine value before 2 years = P/[(1-R/100)^T]
=2000*5/4 * 5/4
=$3125
Answer is A
Answer: A
Question: Calculate the cost of p meters of rope given that the cost of m meters of said rope is q rupees?
Options:
A)Rs.(q*m)
B)Rs.(pq/m)
C)Rs.(q/m)
D)Rs.(p/m)
E)Rs.(p*m)
Rationale: Cost of m metres = Rs. q.
Cost of 1 metre = Rs.	q/m
Cost of p metres = Rs.(q/m)* p= Rs.(pq/m)
Answer is B.
Answer: B
Question: Amit and Ian paint a wall in alternating shifts. First Amit paints alone, then Ian paints alone, then Amit paints alone, etc. During each of his shifts, Amit paints 1/2 of the remaining unpainted area of the wall, while Ian paints 1/3 of the remaining unpainted area of the wall during each of his shifts. If Amit goes first, what fraction of the wall's area will remain unpainted after Amit has completed his 2th shift?
Options:
A)1/27
B)1/54
C)1/81
D)1/6
E)1/216
Rationale: Fraction of area unpainted after FIRST shift of Amit = 1-(1/2) = 1/2
Fraction of area unpainted after FIRST shift of Ian = (1/2)-(1/3)(1/2) = (2/3)(1/2)
Fraction of area unpainted after SECOND shift of Amit = (1/2)(2/3)(1/2)=1/6
Answer: option D
Answer: D
Question: If two letters are taken at random from the word HOME, what is the probability that none of the letters would be vowels?
Options:
A)1/3
B)1/2
C)1/6
D)1/8
E)1/9
Rationale: Explanation :
P(first letter is not vowel)=2/4P(second letter is not vowel)=1/3So,probability that none of letters would be vowels is =(2/4)x(1/3)=1/6
Answer : C
Answer: C
Question: If n is a positive integer and n^2 is divisible by 134, then the largest positive integer that must divide n is
Options:
A)6
B)12
C)24
D)36
E)48
Rationale: The question asks aboutthe largest positive integer that MUST divide n, not COULD divide n. Since the least value of n for which n^2 is a multiple of 72 is 12 then the largest positive integer that MUST divide n is 12.
Complete solution of this question is given above. Please ask if anything remains unclear.
I spent a few hours on this one alone and I'm still not clear. I chose 12 at first, but then changed to 48.
I'm not a native speaker, so here is how I interpreted this question:the largest positive integer that must divide n=the largest positive factor of n. Since n is a variable (i.e. n is moving), so is its largest factor. Please correct if I'm wrong here.
I know that if n = 12, n^2 = 144 = 2 * 72 (satisfy the condition). When n = 12, the largest factor of n is n itself, which is 12. Check: 12 is the largest positive number that must divide 12 --> true
However if n = 48, n^2 = 48 * 48 = 32 * 72 (satisfy the condition too). When n = 48, the largest factor of n is n itself, which is 48. Check: 48 is the largest positive number that must divide 48 --> true
So, I also notice that the keyword isMUST, notCOULD. The question is, why is 48 notMUST divide 48, but instead onlyCOULD divide 48? I'm not clear right here. Why is 12MUST divide 12? What's the difference between them?
Only restriction we have on positive integer n is that n^2 is divisible by 72. The least value of n for which n^2 is divisible by 72 is 12, thus nmustbe divisible by 12 (n is in any case divisible by 12). For all other values of n, for which n^2 is divisible by 72, n will still be divisible by 12. This means that n is always divisible by 12 if n^2 is divisible by 72.
Now, ask yourself: if n=24, is n divisible by 48? No. So, n is not always divisible by 48.
C
Answer: C
Question: An bus covers a certain distance at a speed of 250 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Options:
A)600 km/hr
B)720 km/hr
C)730 km/hr
D)750 km/hr
E)760 km/hr
Rationale: Distance = (250 x 5) = 1250 km.
Speed = Distance/Time
Speed = 1250/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1250 x 3 km/hr = 750 km/hr.
D
Answer: D
Question: Angelo and Isabella are both salespersons. In any given week, Angelo makes $580 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
Options:
A)23,500
B)24,500
C)25,000
D)26,500
E)27,500
Rationale: Let the weekly sales of both = x
580+(x−1000)8/100=10/100x
x = 25000
ANSWER:C
Answer: C
Question: A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
Options:
A)2299
B)2779
C)6000
D)2878
E)231
Rationale: x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000 = 6000.Answer: C
Answer: C
Question: A train 140 m long crosses a platform 160 m long in 16 sec; find the speed of the train?
Options:
A)87 kmph
B)65 kmph
C)68 kmph
D)16 kmph
E)18 kmph
Rationale: D = 140 + 160 = 300
T = 16
S = 300/16 * 18/5 = 67.5 kmph
Answer:C
Answer: C
Question: There are 10 solid colored balls in a box, including 1 Green and 1 Yellow. If 3 of the balls in the box are chosen at random, without replacement, what is the probability that the 3 balls chosen will include the Green ball but not the yellow ball.
Options:
A)1/6
B)7/30
C)1/4
D)3/10
E)4/15
Rationale: But we ARE told that there is is only 1 green ball and only 1 yellow ball in the box, becausethere are 10 solid colored balls in a box,including 1 Green and 1 Yellowmeans exactly that. How else?
Would it make ANY sense if there were for example 2 green balls and we were told thatthere are 10 solid colored balls in a box,including 1 Green and 1 Yellow?
Hmm.. yeah, that does make sense. I'm a non-native English speaker so I tend to over-analyze simple things. In this case, since the wordonlywas missing i.e. there are 10 solid colored balls in a box, includingexactly/only1 Green and 1 Yellow . But yeah, in retrospect this is a Quant question not a Verbal SCThanks for the explanation answer is B
Answer: B
Question: Four friends, Patricia, Melyssa, Tania, and Cassandra, are pooling their money to buy a $1100 item. Patricia has twice as much money as Melyssa. Tania has $10 more than Patricia. Cassandra has 20% more than Tania. If they put all their money together and spend the $1100, they will have $32 left. How much money does Patricia have?
Options:
A)$200
B)$420
C)$300
D)$315
E)$280
Rationale: P= 2M ; T= P+10 ; C= 1.2(T)
P+M+T+C-1100=32
P+0.5P+P+10+1.2(P+10) = 1132
P+0.5P+P+10+1.2P+12=1132
P+0.5P+P+1.2P+22=1132
P+0.5P+P+1.2P=1110
3.7P=1110
P=300
Answer:C
Answer: C
Question: If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Options:
A)18
B)20
C)22
D)25
E)26
Rationale: 2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then smallest number is = 2
2x = 20
A
Answer: A
Question: Simplify : 5793405 x 9999
Options:
A)57928256595
B)59278256595
C)57928262559
D)59722422582
E)None of them
Rationale: 5793405x9999=5793405(10000-1)=57934050000-5793405=57928256595.
Answer is A
Answer: A
Question: A bakery has 6 employees. It pays annual salaries of $16,000 to each of 2 employees, $18,000 to 1 employee, and $19,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
Options:
A)$17,200
B)$17,500
C)$17,800
D)$18,000
E)$18,400
Rationale: average = 2(16000)+(18000)+3(19000) / 6 = $17,833
The answer is C.
Answer: C
Question: In the first week of last month, Company X realized an average wholesale profit of $5712 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Options:
A)$3
B)$4
C)$7
D)$13
E)$51
Rationale: The key operator that everyone seems to have missed is the average. The average profit of $5304 per day is equivalent to a total profit of $39984 for the whole week.
Therefore, the difference between sale price and cost per unit is equal to $39984, which is divisible by all of the answer choices, except for 13.
So, D is the answer.
Answer: D
Question: If a and b are different positive integers and a + b = b(a + b), then which of the following must be true?
I. a = 1
II. b < a
III. b = 1
Options:
A)I only
B)II only
C)III only
D)II and III
E)I and III
Rationale: b has to equal a squared, and that only works if b is 1. There are no positive integers less than 1, soII and III are correct.
Answer : D
Answer: D
Question: A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 1:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?
Options:
A)10.18 p.m
B)10.29 p.m
C)8.30 p.m
D)10.38 p.m
E)10.32 p.m
Rationale: D = 70 * 1 ½ = 105 km
RS = 85 – 70 = 15
T = 105/15 = 7 h
1.30 + 7 h = 8.30 p.m.
Answer:C
Answer: C
Question: Calculate the least possible number of vans needed to transport 280 students, given that each van can only take 12 students each?
Options:
A)23
B)22
C)21
D)20
E)24
Rationale: To find the number of vans, we divide 280 by 12.
280/12 = 23 and remainder = 4
So 23 vans are needed to transport 276 students, and 1 van is needed to transport the 4 remaining students. A total of 24 vans are needed.
correct answer E
Answer: E
Question: If f(x) = x^3/(x^4 - 1), what is f(1/x) in terms of f(x)?
Options:
A)-f(x)
B)f(x)
C)2*f(x)
D)1/f(x)
E)2/f(x)
Rationale: If x = 2 then f(x) = 8/15 and f(1/x) = -8/15 which is equal to -f(x)
answer A
Answer: A
Question: The function f is defined for all positive integers u by the following rule. f(u) is the number of positive integers each of which is less than u and has no positive factor in common with u other than 1. If p is any prime, number then f(p)=
Options:
A)(p+1)/2
B)p-2
C)p-1
D)(p-1)/2
E)2
Rationale: If not the wording the question wouldn't be as tough as it is now. The GMAT often hides some simple concept in complicated way of delivering it.
This question for instance basically asks: how many positive integers are less than given prime number p which have no common factor with p except 1.
Well as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).
For example: if p=5 how many numbers are less than 5 having no common factors with 5: 1, 2, 3, 4, --> 5-1=4.
Answer: C.
Answer: C
Question: A rectangular paper when folded into two congruent parts had a perimeter of 34cm foer each part folded along one set of sides and the same is 38cm. When folded along the other set of sides. What is the area of the paper?
Options:
A)140
B)788
C)277
D)288
E)167
Rationale: Explanation:
when folded along the breadth
we have 2(l/2 +b) = 34 or l+2b = 34...........(1)
when folded along the length, we have 2(l+b/2)=38 or 2l+b =38.....(2)
from 1 &2 we get l=14 and b=10
Area of the paper = 14*10 = 140 sq cm
Answer: A) 140
Answer: A
Question: Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 600 pounds of the seed mixture?
Options:
A)12
B)15
C)20
D)24
E)120
Rationale: If the mixture contains 2 pounds of timothy, the mixture must be 40 pounds.
Thus we need 40 pounds of mixture per acre.
600 / 40 = 15 acres
The answer is B.
Answer: B
Question: If Jan spent 40% of her monthly income on housing and 20% less than she spent on housing on a car payment, what percent of her monthly income did she have left after making both her housing payment and her car payment?
Options:
A)20%
B)28%
C)42%
D)50%
E)60%
Rationale: Lets say the total income of Jan is 100
Then
She spends 40 on Housing
20% less than she spent on Housing = 40−20/100∗40=3240−20/100∗40=32
Total expenditure = 40 + 32 = 72
Remaining = 100 - 72 = 28
Hence the answer is B 28 %
Answer: B
Question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Options:
A)kmph
B)kmph
C)kmph
D)kmph
E)kmph
Rationale: Speed downstream = 70 + 20 = 90 kmph
Speed upstream = 70 - 20 = 50 kmph
Answer:D
Answer: D
Question: If v, w, x, y, and z are positive integers, which of the following could not become a terminating decimal?
Options:
A)33/2^(4x)
B)34/5^(2y)
C)35/100^z
D)36/4^w
E)37/3^(5v)
Rationale: Knowledge of Decimal equivalent Fractions will work wonders here , no need to consider the Numerator part
1/ 2 = 0.50 ( Terminating )
1/5 = 0.20 ( Terminating )
1/100 = 0.01 ( Terminating )
1/4 = 0.25 ( Terminating )
1/3 = 0.33 ( Non Terminating )
Check the above rule with any higher powers the result will be same.....
Among the given options only (E) has a non terminating denominator , so this will be our answer..
Answer: E
Question: A mixture of 125 gallons of wine and water contains 20% of water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?
Options:
A)8.33
B)8.39
C)8.36
D)8.31
E)8.32
Rationale: Explanation:
Initially water in the mixture = 20%(125) = 25
Let x gallons of water be added to change to water concentration to 25% or 1/4
⇒25+x125+x=14⇒25+x125+x=14
⇒x=253⇒x=253 = 8.33 gallons.
Answer:A
Answer: A
Question: Two trains started from the same point. At 8:00 am the first train traveled East at the rate of 80 mph. At 9:00 am, the second train traveled West at the rate of 100 mph. At what time were they 530 miles apart?
Options:
A)11:30 am
B)10:30 am
C)8:30 am
D)7:30 am
E)9:30 am
Rationale: When the first train has traveled for t hours the second train will have traveled (t - 1) hours since it started 1 hour late. Hence if D1 and D2 are the distances traveled by the two trains, then
D1 = 80 t and D2 = 100 (t - 1)
Since the trains are traveling in opposite direction, the total distance D between the two trains is given by
D = D1 + D2 = 180 t - 100
For D to be 530 miles, we need to have
180 t - 100 = 530
Solve for t
t = 3 hours 30 minutes.
8 am + 3:30 = 11:30 am
Answer A
Answer: A
Question: What will come in place of the x in the following Number series? 1. 0, 6, 24, 60, 120, 210, x
Options:
A)336
B)350
C)380
D)430
E)450
Rationale: (A)
The given series is : 13 – 1, 23 – 2, 33 – 3, 43 – 4, 53 – 5, 63 – 6,
So the missing term = 73 – 7 = 343 – 7 = 336
Answer: A
Question: The average age of a husband and a wife is 23 years when they were married SIX years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
Options:
A)7 years
B)9 years
C)6 years
D)4 years
E)2 years
Rationale: 29 * 2 = 58
20 * 3 = 60
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2 years
Answer: E
Answer: E
Question: An article cost is Rs 912 after decreasing 24%. So find the actual cost of the article?
Options:
A)1200
B)1500
C)1300
D)1000
E)1700
Rationale: CP* (76/100) = > 912
CP = 12*100 = 1200
ANSWER A
Answer: A
Question: Six machines at a certain factory operate at the same constant rate. If five of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all six machines, operating simultaneously, to fill the same production order?
Options:
A)4
B)6
C)7
D)9
E)12
Rationale: The total work is 5*42 = 210 machine hours
The time required for six machines is 210/6 = 35 hours, thus 7 fewer hours.
The answer is C.
Answer: C
Question: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
A)4
B)8
C)12
D)14
E)16
Rationale: The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.
Answer: D.
Answer: D