divelab/Sys2Bench huggingface dataset:
Question: All of the students of the Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 112 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?
Options:
A)48
B)50
C)52
D)54
E)56
Rationale: 50% of students are in the band only, so 30% of students are in the orchestra only.
Since 20% of students are in both, then 70% of students are in the band which is 112 students.
The number of students in the orchestra is (30%/70%)*112 = 48.
The answer is A.
Answer: A
Question: In what time will a train 100 m long cross an electric pole, it its speed be 54 km/hr?
Options:
A)2.5
B)2.9
C)6.67
D)2.8
E)2.1
Rationale: Speed = 54 * 5/18 = 15 m/sec
Time taken = 100/15
= 6.67 sec.
Answer:C
Answer: C
Question: For any triangle T in the xy–coordinate plan, the center of T is defined to be the point whose x–coordinate is the average (arithmetic mean) of the x–coordinates of the vertices of T and whose y–coordinate is the average of the y–coordinates of the vertices of T. If a certain triangle has vertices at the points (0,0) and (6,0) and center at the point (3,1), what are the coordinates of the remaining vertex?
Options:
A)(3,3)
B)(3,6)
C)(4,9)
D)(6,4)
E)(9,6)
Rationale: Let (a,b) be the remaining vertex.
x: 0 + 6 + a = 3*3. Then a = 3.
y: 0 + 0 + b = 3*1. Then b = 3.
The answer is A.
Answer: A
Question: The fourth proportional to 10, 20 and 25 is?
Options:
A)21
B)66
C)88
D)50
E)26
Rationale: (20*25)/10 = 50
Answer: D
Answer: D
Question: What least number should be subtracted from 13602 such that the remainder is divisible by 87 ?
Options:
A)27
B)29
C)28
D)30
E)31
Rationale: 13602 ÷ 87 = 156, remainder = 30
Hence 30 is the least number which can be subtracted from 13602 such that the remainder
is divisible by 87
Answer is D
Answer: D
Question: A retailer buys 40 pens at the market price of 36 pens from a wholesaler ,if he sells these pens giving a discount of 1% ,what is the profit % ?
Options:
A)2%
B)7%
C)9%
D)5%
E)10%
Rationale: let the market price of each pen be Rs 1
then,C.P of 40 pens = Rs 36 S.P of 40 pens =99% of Rs 40=Rs 39.60
profit %=((3.60*100)/36) %=10%
Ans: E
Answer: E
Question: Of the 800 employees of Company X, 500 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 40 percent ?
Options:
A)200
B)160
C)112
D)133.33
E)56
Rationale: The # oflong-termemployees is 50%*800=400.
After y of them retire new # oflong-termemployees would become 400-y.
Total # of employees would become 800-y.
We want 400-y to be 40% of 800-y --> 400-y=(800 -y)*40% --> y = 133.33.
Answer: D.
Answer: D
Question: In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually?
Options:
A)5
B)3
C)4
D)2
E)6
Rationale: Principal = Rs. 1000; Amount = Rs. 1331; Rate = 10% p.a. Let the time be n years. Then,[ 1000 (1+ (10/100))^n ] = 1331 or (11/10)^n = (1331/1000) = (11/10)^3n = 3 years Answer : B
Answer: B
Question: An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
Options:
A)4082.46
B)4082.49
C)4082.44
D)4082.4
E)4082.41
Rationale: Length of the first carpet = (1.44)(6) = 8.64 cm
Area of the second carpet = 8.64(1 + 40/100) 6 (1 + 25/100)
= 51.84(1.4)(5/4) sq m = (12.96)(7) sq m
Cost of the second carpet = (45)(12.96 * 7) = 315 (13 - 0.04) = 4095 - 12.6 = Rs. 4082.40.Answer: D
Answer: D
Question: A train 250m long passes a man, running at10 km/hr in the same direction in which the train is going, in 20 seconds. The speed of the train is:
Options:
A)100
B)60
C)55
D)50
E)45
Rationale: Speed of the train relative to man =250/20 m/sec
=25/2 m/sec.
=25	/2x18/5km/hr
= 45 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x -10) km/hr.
x - 10= 45 =55 km/hr.
Answer:C
Answer: C
Question: A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is?
Options:
A)228 m
B)150 m
C)276 m
D)255 m
E)212 m
Rationale: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 15 => y = x/15
(x + 100)/25 = x/15 => x
= 150 m.
Answer:B
Answer: B
Question: In a game of 40 points; A can give B 5 points and C 15 points. Then how many points B can give C in a game of 35 ?
Options:
A)can give C 10 points
B)can give C 4 points
C)can give C 2 points
D)can give C 6 points
E)can give C 8 points
Rationale: A: B = 40 : 35, A : C = 40 : 25.
B/C = ( B/ A * A/C) = (35 / 40 * 40 / 25) = 35/25 = 7/5 = 35: 25
Therefore ,In a game of 35, B can give C 10 points.
Answer is A.
Answer: A
Question: By how much is two-fifth of 350 greater than four- seventh of 210 ?
Options:
A)95
B)110
C)20
D)None of these
E)Cannot be determined
Rationale: Solution
2/5of 350 - 4/7of 210 = 20.
Answer C
Answer: C
Question: A certain tire company can produce tires at a cost of $22,500 per batch plus $7 per tire. The company can sell tires to the wholesaler at a cost of $20 per tire. If a batch of 15,000
tires is produced and sold, what is the company’s profit per tire?
Options:
A)$9.00
B)$9.50
C)$11.00
D)$11.50
E)$20.00
Rationale: CP(15000 tires) = $22500 +($7×15000) =$127500
SP (15000 tires) = $20×15000 = $300000
Profit = SP-CP
= $300000-$127500= $172500
PROFIT/TIRE = $172500/15000 = $11.50
Answer D
Answer: D
Question: A farmer spent $37 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 20% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Options:
A)$37.80
B)$38.50
C)$39.20
D)$39.50
E)$40.70
Rationale: A farmer spent 40% money on chicken feed, so he spent 0.4*$37=$14.8 on chicken feed, thus he spent the remaining 37-14.8=$22.2 on goat feed.
Now, since he bought chicken feed at a 20% discount then the original price of it was x*0.8=$14.8 --> x=$18.5.
Therefore if the farmer had paid full price for both the chicken feed and the goat feed, then he would he have spent 18.5+22.2=$40.7.
Answer: E
Answer: E
Question: A husband and wife can complete a certain task in 1 and 2 hours respectively. Their children, Rae and Herman, can complete the same task in 5 and 6 hours, respectively. What is the ratio of the couple's time working together to complete the task to the children's time working together to complete the task?
Options:
A)a)11:45
B)b)3:10
C)c)12:23
D)d)5:18
E)e)10:3
Rationale: couples one hour work=1/1+1/2=3/2
so total time=2/3..
now, kids one hour work=1/5+1/6=11/30
so total time=30/11..
ratio=2/3:30/11=11/45
ans A
Answer: A
Question: For what values of k will the pair of equations 3x + 4y = 12 and (kx + 12y)/2 = 15 does not have a unique solution?
Options:
A)12
B)9
C)3
D)7.5
E)2.5
Rationale: we have 2 equations
1. 3x + 4y = 12 -- > 9x + 12y = 36
2. (kx + 12y)/2 = 15 --> kx + 12y = 30
substract 1-2, we get (9-K)x = 6
i.e. x = 6/(9-k)
then, by looking at options, we get some value of x except for B. When we put k=9, x becomes 6/0 and hence answer is B
Answer: B
Question: 40% of major airline companies equip their planes with wireless internet access. 70% of major airlines offer passengers free on-board snacks. What is the greatest possible percentage of major airline companies that offer both wireless internet and free on-board snacks?
Options:
A)30%
B)40%
C)50%
D)60%
E)70%
Rationale: To maximize the percentage of companies offering both, let's assume that all 40% of companies which offer wireless internet also offer snacks.
The answer is B.
Answer: B
Question: The ratio between v and y is 7/9; v and y are increased by 4, what is the ratio between the new values of v and y?
Options:
A)7/9
B)14/9
C)7/18
D)11/13
E)It Cannot Be Determined
Rationale: Ratio = 7k/9k = 7/9, 14/18, etc.
v and y are increased by 4 --> (7k + 4)/(9k + 4)
New ratio can be 11/13, 18/22, etc.
Answer: E
Answer: E
Question: The product of two numbers is 276 and the sum of their squares is 289. The sum of the number is?
Options:
A)A)29
B)B)25
C)C)27
D)D)31
E)E)35
Rationale: Let the numbers be x and y.
Then, xy = 276 and x2 + y2 = 289.
(x + y)2 = x2 + y2 + 2xy = 289 + (2 x 276) = 841
x + y = 29.
Option A
Answer: A
Question: When a train travels at a speed of 100kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey?
Options:
A)15km
B)50km
C)60km
D)85km
E)95km
Rationale: Let x be the time reached with the speed 100km/h
50km/h ----> x+15
Distance is equal so
100(km/h)× xhr = 50(km/h) × (x+15) hr
So
100 x = 50x + 750
So the would be in km
And x = 15
ANSWER:A
Answer: A
Question: There are 13 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl & 2 boys are selected ?
Options:
A)120
B)480
C)780
D)720
E)800
Rationale: n(s) = sample space = 23C3 = 1771
E = event that 1 girl and 2 boys are selected
n(E) = we have to select 2 boys from 13 and 1 girl from 10
= 13C2 * 10C1
= 780
Ans - C
Answer: C
Question: Find the value of 3 + 2 • (8 – 3)
Options:
A)(a) 25
B)(b) 13
C)(c) 17
D)(d) 24
E)(e) 15
Rationale: 3 + 2 • (8 – 3)
= 3 + 2 (5)
= 3 + 2 × 5
= 3 + 10
= 13
Answer: (D)
Answer: D
Question: Which of the following are square numbers ?
Options:
A)14
B)12
C)20
D)64
E)99
Rationale: Clearly 64 = 8^2 is a square numbers. Ans : D
Answer: D
Question: An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 9 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 25 coaches are attached.
Options:
A)35
B)28
C)40
D)44
E)42
Rationale: 1.
No. of coaches =9
sqr root=3
speed decreases by 12
12=k*3
k=4
No. of coaches=25
swr root=5
decrease=5*4=20
New speed=60-20=40
C
Answer: C
Question: A dirt cake consists entirely of chocolate and vanilla pudding, Gummy Worms, and crushed Oreo's. If the ratio of both the Oreo's and gummy worms were doubled in a serving, , what is the ratio of the pudding to the rest of the dish?
Options:
A)4: 5
B)2: 7
C)3: 8
D)4: 1
E)Not enough information given
Rationale: This answer is too simple to put such a long answer to, the option you want to choose is E.
Answer: E
Question: By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
Options:
A)33 1/3%
B)33 1/8%
C)33 6/3%
D)36 1/3%
E)31 1/3%
Rationale: Let the CP of each pen be Rs. 1.
CP of 99 pens = Rs. 99
Profit = Cost of 33 pens = Rs. 33
Profit% = 33/99 * 100 = 33 1/3%
Answer: A
Answer: A
Question: A milkman sells his milk at CP but he mixes it withwater and thereby gains 25%. What is the % of water in the mixture?
Options:
A)10%
B)15%
C)20%
D)30%
E)40%
Rationale: Here Gain= 25%
error = quantity of water he mixes in the milk =x
true value = true quantity of milk = T
So the formula becomes, 25=x(T−x)×100
⇒1=x(T−x)×4⇒T−x=4x⇒T=5x
Percentage of water in the mixture
=xT×100=x5x×100=15×100=20%
C
Answer: C
Question: From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 13 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
Options:
A)38
B)39
C)40
D)41
E)42
Rationale: Soln:-
13x=45 --> 87/77*x=45 --> x=45*77/87=677/17=~40.
Answer: C.
Answer: C
Question: A money lender lends Rs.2000 for six months at 18% p.a. rate. It the interest is reckoned quarterly than find the amount given after time limit?
Options:
A)2228.4
B)1978
C)2834
D)2827
E)2781
Rationale: A = 2000(19/18)2
= 2228.4
Answer: A
Answer: A
Question: What is the least integer greater than 1+0.5?
Options:
A)–2
B)–1
C)0
D)1
E)2
Rationale: This question is just about doing careful Arithmetic and remembering what makes a numberbiggerorsmallercompared to another number.
First, let's take care of the Arithmetic:
(1) + (0.5) = 1.5
On a number line, since we're ADDING +.5 to a number, the total moves to the RIGHT (so we're moving from 1 to 1.5).
Next, the question asks for the LEAST integer that is GREATER than 1.5
Again, we can use a number line. Numbers become greater as you move to the RIGHT. The first INTEGER to the right of 1.5 is 2.
Final Answer:
E
Answer: E
Question: Find the average of all numbers between 6 and 34 which are divisible by 5
Options:
A)15
B)20
C)25
D)30
E)35
Rationale: Explanation:
Average=(10+15+20+25+305)=1005=20
Answer: Option B
Answer: B
Question: You buy a piece of land with an area of âˆš1600, how long is one side of the land plot?
Options:
A)28
B)40
C)30
D)31
E)32
Rationale: Try filling the numbers into the answer y x y =
Find the closest to 900.
Answer B
Answer: B
Question: A circle is inscribed in a unit square, and a diagonal of the square is drawn. Find the total
length of the segments of the diagonal not contained within the circle.
Options:
A)√4-1
B)√2-1
C)√3-1
D)√5-1
E)√6-1
Rationale: The diagonal has length √2.It passes through the center of the circle, so it contains
a diameter of the circle. The length of the diagonal within the circle is therefore 1. The rest of
the diagonal outside of the circle has total length √2-1
correct answer B
Answer: B
Question: Mary charges $8.50 per hour to clean a house. If she works 20 hours, how much
does she earn in one week?
Options:
A)$170.00
B)$110.50
C)$210.50
D)$410.50
E)$310.50
Rationale: Multiply 20 hours x $8.50 =
Answer: $170.00
correct answer A
Answer: A
Question: A person purchased a TV set for Rs. 15000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Options:
A)16.58%
B)87.58%
C)46.58%
D)17.58%
E)18.58%
Rationale: The total CP = Rs. 15000 + Rs. 6250 = Rs. 21250 and SP
= Rs. 31150
Profit(%) = (31150 - 21250)/21250 * 100
= 46.58%
Answer:C
Answer: C
Question: If the area of circle is 745 sq cm then its circumference?
Options:
A)11
B)88
C)99
D)96.8
E)12
Rationale: 22/7 r2 = 745 => r = 15.4
2 * 22/7 * 15.4 = 96.8 Answer: D
Answer: D
Question: A box contains 12 mangoes out of which 4 are spoilt. If four mangoes are chosen at random, find the probability that All the four mangoes are spoiled.
Options:
A)1/495
B)494/495
C)1/395
D)394/395
E)396/395
Rationale: Out of 12,8 are good and 4 are spoiled.
Required probability = 4C4/12C4 = 1/495.
ANSWER:A
Answer: A
Question: A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 18 days.In how many days B alone can do the work?
Options:
A)5days
B)7 days
C)27 days
D)9 days
E)10 days
Rationale: Explanation:
A’s 5 day work = 5*1/15=1/3
Remaining work = 1-1/3=2/3
B completes 2/3 work in 6 days
B alone can do in x days
2/3*x=18
X=27 days
Answer: Option C
Answer: C
Question: If the wages of 6 men for 15 days be Rs.2100, then find the wages of for 12 days.
Options:
A)2025
B)2820
C)2028
D)2250
E)2520
Rationale: Let the required wages be Rs. x.
More men, More wages	(Direct Proportion)
Less days, Less wages	(Direct Proportion)
Men 6: 9 : :2100:x
Days 15:12
Therefore (6 x 15 x x)=(9 x 12 x 2100) = x=(9 x 12 x 2100)/(6 x 15)=2520
Hence the required wages are Rs. 2520.
Answer is E.
Answer: E
Question: Some persons can do a piece of work in 24 days. Two times the number of these people will do half of that work in?
Options:
A)3
B)4
C)5
D)6
E)8
Rationale: 24/ (2 * 2) = 6 days
Answer:D
Answer: D
Question: Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 0.5. Which of the following operations would decrease the standard deviation of Set J?
Options:
A)Multiply each term by e/d
B)Divide each term by b/c
C)Multiply each term by −1
D)Divide each term by d/e
E)Multiply each term by a/e
Rationale: CONCEPT: Standard Deviation is Defined as Average Deviation of Terms in the set from the Mean value of the set. i.e.
1) It depends on the separation between the successive terms of the set
2) If a Constant Value is Added/Subtracted in every terms of set then the Separation between successive terms does NOT change Hence S.D. remains Constant
3) If a Constant Value is Multiplied in every terms then the Separation between succesive terms gets multiplied by the constant Hence S.D. remains gets multiplied by same Number
E
Answer: E
Question: Right now, the ratio between the ages of Karthik and Prasath is 4:3. After 6 years, Karthik’s age will be 26 years. What is the age of Prasath right now?
Options:
A)15 years
B)35 years
C)25 years
D)45 years
E)55 years
Rationale: A
15 years
If the current ages of Karthikh and Prasath be 4A years and 3A years correspondingly.
Then, 4A + 6 = 26
4A = 20
A = 5
Prasath’s age = 3A = 15 years.
Answer: A
Question: The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?
Options:
A)288
B)240
C)288
D)277
E)211
Rationale: 4a = 68 => a = 17
172 – 82 = 152
1/2 * 16 * 30 = 240.Answer: B
Answer: B
Question: On a weekend, 4 friends went skiing and evenly split the cost of their cabin. If the amount paid by each person was an integer, which of the following could not have been the cost of the cabin?
Options:
A)$448
B)$492
C)$614
D)$548
E)$356
Rationale: Each of the seven persons evenly splitting the cost is an integer amount, therefore check the divisibility by 4 for all answer choices.
448/4 = 112
492/4 = 123
614/4 = 153.50
548/4 = 137
356/4 = 89
C is not an integer amount.
Answer:C
Answer: C
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
Options:
A)18
B)16
C)26
D)17
E)11
Rationale: Explanation:
1500 ---- 270
100 ---- ? => 18%
Answer:A
Answer: A
Question: In a 160 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
Options:
A)22 seconds
B)12 seconds
C)13 seconds
D)18 seconds
E)28 seconds
Rationale: B runs 56 m in 7 sec.
=> B runs 160 m in 7/56*160 = 20 seconds
Since A beats B by 7 seconds, A runs 160 m in (20-7) = 13 seconds
Hence, A's time over the course = 13 seconds
ANSWER:C
Answer: C
Question: Instead of a metre scale, a cloth merchant uses a 120 cm scale while buying, but uses an 80 cm scale while selling the same cloth. If he offers a discount of 20% on cash payment, what is his overall profit percentage?
Options:
A)20%
B)25%
C)40%
D)15%
E)None of these
Rationale: Explanation :
Assume that the merchant while purchasing, purchases 120cm at Rs120 , that is 1cm at Rs1.
He sells 80 cm at Rs 120.
While the original CP = Rs 80 for 80 cm.
20% discount on 120 = 24,
So, actual SP = 120-24 = 96
Profit = 96-80 = 16
P%= (P/CP) x 100 = (16/80) x 100 = 20%.
Answer : A
Answer: A
Question: Three coins are tossed in the air and two of the coins land with heads face upwards. What are the chances on the next toss of the coins that atleast two of the coins will land with heads face upwards again?
Options:
A)80 percent.
B)70 percent.
C)50 percent.
D)40 percent.
E)30 percent.
Rationale: C
50 percent.
It is a certainty that atleast two coins will land with the same side face up. It is equally likely that these two coins will land heads up as they will land tails upwards. It is immaterial what occurred in the previous toss.
Answer: C
Question: What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Options:
A)100
B)60
C)30
D)20
E)10
Rationale: The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women
= ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5
= 30 ways.
ANSWER:C
Answer: C
Question: The radius of a semi circle is 70 cm then its perimeter is?
Options:
A)32.8
B)32.4
C)360
D)32.2
E)32.9
Rationale: Diameter = 140 cm
1/2 * 22/7 * 140 +140 = 360
Answer : C
Answer: C
Question: Joe's age, Joe's sister's age and Joe’s fathers age sums up to a century. When son is as old as his
father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father.What is the age of father?
Options:
A)40
B)50
C)60
D)70
E)80
Rationale: Joe+sister+father=100
after x years lets joe age is equal to hi father
joe+x=father
therefore, sister+x=2*sister
=>sister=x
joe+sister=father
therefore, 2*father=100
hence, Father=50
ANSWER:B
Answer: B
Question: What is the probability of randomly selecting an arrangement of the letters of the word "MEDITERRANEAN" in which the first letter is E and the last letter is R?
Options:
A)1/13
B)1/20
C)1/26
D)1/50
E)1/100
Rationale: There are 13 letters in MEDITERRANEAN, out of which E appears thrice, N appears twice, A appears twice, and R appears twice.
The number of arrangements of MEDITERRANEAN is therefore 13!/3!2!2!2!
The number of arrangements in which the first letter is E and the last letter is R is 11!/2!2!2! (we are left with 11 letters out of which E appears twice, N appears twice and A appears twice).
P=(11!/2!2!2!)/(13!/3!2!2!2!)=11/!2!2!2!∗3!2!2!2!/13!=3!/12∗13=1/26
Answer: C.
Answer: C
Question: A 300 m long train crosses a platform in 38 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
Options:
A)288
B)350
C)889
D)276
E)333
Rationale: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/38 = 50/3
3x + 900 = 1900 => x = 333 m.
Answer:E
Answer: E
Question: An unbiased die is tossed. Find the probability of getting a multiple of 7
Options:
A)A)1/3
B)B)2/5
C)C)1/4
D)D)2/3
E)E)1/7
Rationale: Here S = {1,2,3,4,5,6,7}
E = event of getting a multiple of 3
E = {7}
P(E) = 1/7
Answer is E
Answer: E
Question: Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $420 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?
Options:
A) $214 million
B) $1120 million
C) $1144 million
D) $1240 million
E) $1080 million
Rationale: Convert units to millions as answer is in millions
1996 Imports = $1.44 bill = $1440 mill
i.e. 1440/12 = $120 mill/month
1997 Imports = $420 mill/2 month
i.e. $210 mill/month
Difference/month = 210-120 = 90
Difference/year = $90 mill * 12 = $1080 mill
ANSWER: E
Answer: E
Question: The end of a blade on an airplane propeller is 15 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Options:
A)200π
B)240π
C)300π
D)450π
E)1,200π
Rationale: Distance traveled in 1 revolution = 2πr= 2π15/5280
Revolutions in one second= 1320
Revolutions in 60 seconds (one minute)= 1320*60
Total distance traveled= total revolutions *distance traveled in one revolution
1320*60 *2π15/5280= 450π
D is the answer
Answer: D
Question: What is the unit digit in 7^105 ?
Options:
A)9
B)7
C)3
D)8
E)5
Rationale: Unit digit in 7^105 = Unit digit in [ (7^4)^26 x 7 ]
But, unit digit in (7^4)^26 = 1
Unit digit in 7^105 = (1 x 7) = 7.
Answer B) 7.
Answer: B
Question: A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 7/11. How many tennis balls did the retailer order originally.
Options:
A)17.5
B)130
C)175
D)195
E)220
Rationale: White:Yellow = x:(x+50) = 7:11 --> 11x = 7x + 350 --> x = 87.5.
The total # of balls originally x + x = 87.5 + 87.5 = 175.
Answer: C.
Answer: C
Question: The age of Ritu’s mother is 6 times that of Ritu’s age. After 6 years it will be 3 times that of Ritu’s age. what is Ritu’s present age?
Options:
A)4 years
B)8 years
C)6 years
D)10 years
E)12 years
Rationale: let us consider 'm' be the ritu's mom's age and 'r' be the ritu's present age
Given: m=6r ;
m+6=3(r+6);
6r+6=3r+18;
as we solve for r, we get ritu's age as 4 years.
ANSWER:A
Answer: A