divelab/Sys2Bench huggingface dataset:
Question: If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678. Then the code for the word
"GONE" would be
Options:
A)3569
B)1552
C)4573
D)4735
E)5235
Rationale: G-4
O-7
N-3
E-5
so for mango the code is 4735
ANSWER:D
Answer: D
Question: Q is a set of eight distinct prime numbers. If the sum of the integers in Q is even and the number x is a member of Q, then what is the least value that x can be?
Options:
A)2
B)3
C)4
D)5
E)7
Rationale: 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19= 77 (Discard as sum is ODD)
3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 98 (Sum is even)
Least number = 3
B
Answer: B
Question: A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Options:
A)45%
B)26%
C)12%
D)19%
E)37%
Rationale: Option C
Explanation:
Original price = 100
CP = 80
S = 80*(140/100) = 112
100 - 112 = 12%
Answer: C
Question: A flat of plants consists of 6 flowers and 6 ground covers. If a basket is created with 3 flowers and 1 ground cover, in how many ways can the basket be formed?
Options:
A)12
B)120
C)450
D)800
E)576
Rationale: Choose 3 flowers from 6 flowers and choose 1 ground cover from 6 ground cover:
3C6 * 1C6 = 20*6 = 120
Ans: B
Answer: B
Question: A train 110 m long is running with a speed of 50 km/h. In how many seconds will the train pass a man who is running at 5 km/h in the direction opposite to that in which the train is going?
Options:
A)6.1
B)7.2
C)8.3
D)9.4
E)10.5
Rationale: The speed of the train relative to the man = 50 + 5 = 55 km/h.
55000 m/h * 1h/3600 s = (550/36) m/s
(110 m) / (550/36 m/s) = (110 * 36) / 550 = 36/5 = 7.2 seconds
The answer is B.
Answer: B
Question: A three-person committee must be chosen from a group of 10 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Options:
A)A)70
B)B)1020
C)C)630
D)D)1,260
E)E)1,980
Rationale: Total number of ways to select at least one professor = Number of ways to select 3 people from 10 students and 10 professors - Number of ways to select 3 people from 10 student (i.e. without including any professor)
= 20C3 - 10C3 = 1140 - 120 = 1020
ANSWER:B
Answer: B
Question: Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 7 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
Options:
A)80
B)90
C)56
D)70
E)60
Rationale: C
56
Sum = (n x n) + n
Hence, 7 x 7 = 49 + 7 = 56
Answer: C
Question: January 1, 2007 was Monday. What day of the week lies on Jan. 4, 2008?
Options:
A)Monday
B)Tuesday
C)Wednesday
D)Friday
E)Sunday
Rationale: The year 2007 is an ordinary year. So, it has 1 odd day.
day of the year 2007 was Monday
day of the year 2008 will be 4 days beyond Monday
Hence, It will be Friday. answer : D
Answer: D
Question: The average of temperatures at noontime from Monday to Friday is 30; the lowest one is 20, what is the possible maximum range of the temperatures?
Options:
A)20
B)25
C)40
D)45
E)10
Rationale: Average=30, Sum of temperatures=30*5=150
As the min temperature is 20, max would be 150-4*20=30 --> The range=30(max)-20(min)=10
Answer: E
Answer: E
Question: A and B can do a piece of work in 9 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?
Options:
A)11.25 days
B)19.5 days
C)17.5 days
D)16.5 days
E)18.5 days
Rationale: C = 1/5 – 1/9 = 4/45 => 11.25 days
ANSWER:A
Answer: A
Question: If p,q ,and r are positive real numbers such that p(q+r) = 152, q(r+p) =162 , and r(p+q) = 170, then pqr is
Options:
A)a) 672
B)b) 688
C)c) 704
D)d) 720
E)e) 750
Rationale: pq+pr = 152 --------------------------------------1)
qr+qp = 162---------------------------------------2)
pr+rq = 170---------------------------------------3)
Re-writing equation 3 as follows:
pr+rq = 162 + 8
pr+rq = qr+qp + 8
pr = qp + 8 ............... (4)
Adding (1)(4)
2pr = 160
pr = 80
pqr has to be multiple of 80, only 720 fits in
Answer = D
Answer: D
Question: Jeremy challenges his friends Asafa, Yohan, Nestor and Usain to a 400 metre race, with a difference. Jeremy will run the entire 400 metres and the others will run 100 metres each and then combine their times. If their combined time is quicker than Jeremy's they will have won the race. Asafa runs his stage in 10 seconds, Yohan runs his stage in 11 seconds but Nestor trips over and runs his stage in 16 seconds. Jeremy has run the first 300 metres at an average speed of 10.5 seconds per 100 metres. However when Jeremy runs 400 metre races, his final 100 metres is always 1.5 seconds slower than his average speed over the first 300 metres. If Usain's team is to have a chance of winning how quickly must he run his 100 metres?
Options:
A)5
B)5.5
C)6
D)6.5
E)7
Rationale: Jeremy has run the first 300 metres at an average speed of 10.5 seconds per 100 metres and so his time for 300 metres is 31.5 seconds (10.5 x 3 = 31.5).
Jeremy's final 100 metres is always 1.5 seconds slower than his average 300 metre speed and so he will run it in 12 seconds (10.5 + 1.5 = 12).
Jeremy's total time for 400 metres is 43.5 seconds (31.5 + 12 = 43.5).
Usain's team has run the first 300 metres in 37 seconds (10 + 11 + 16 = 37).
To be in with a chance of winning Usain must close the gap of 6.5 seconds (43.5 - 37 = 6.5).
ANSWER: D
Answer: D
Question: In a mixture of milk and water, the proportion of milk by weight was 70%. If, in a 200-gram mixture, 40 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
Options:
A)71%
B)72%
C)73%
D)74%
E)75%
Rationale: The amount of milk is 0.7(200) + 40 = 180 grams.
The proportion is 180/240 = 0.75 which is 75%
The answer is E.
Answer: E
Question: The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 68% of the required amount. What is the net difference in the expenditure on that product?
Options:
A)12.5%
B)13%
C)16%
D)15%
E)19%
Rationale: Quantity X Rate = Price
1 x 1 = 1
0.68 x 1.25 = 0.85
Decrease in price = (0.15/1) × 100 = 15%
D)
Answer: D
Question: If S> 0 and S is divisible by the product of the first nine positive integers, all of the following must be factors of S except
Options:
A)35
B)40
C)63
D)315
E)704
Rationale: The question states taht S is divisible by 9!,which is 1*2*3*4*5*6*7*8*9
S=(9!) * some number
A. 35 = 5*7 so will divide S
B. 40 =5*8 so will divide S
C. 63 =9*7 so will divide S
D. 315 =5*7*9 so will divide S
E. 704 =8*8*11 This will not divide S
Ans E
Answer: E
Question: A Truck drives 80 miles on local roads at 30 mph, and 50 miles on the highway at 60 mph, the truck also take a hour lunch break. what is the average speed of the entire trip?
Options:
A)30 mph
B)29 mph
C)28 mph
D)31 mph
E)23 mph
Rationale: So The Answer is Plainly A....
we have a general relation for speed , time and distance : v (velocity) * t ( time)= d (distance)
for first part we have d=80 miles , and v= 30 mph so we can obtain time : 30*t = 80 Or t= 80/30 = 2.6 hours the needed time to cover 80 miles
in the same way we should divide 50 to 60 to find the needed time to cover 50 miles ,so t= 0.8 hours
so the total time for covering total distance would be 2.6+0.8+1 (lunch time) = 4.4 hours and total distance is 80+50= 130 miles
Final stage : average speed is total distance divide to total time : 130/4.4 = 29.5 miles per hour rounding up to 30....
Answer: A
Question: A can do a work in 9 days. B can do the same work in 18 days. If both A & B are working together in how many days they will finish the work?
Options:
A)3
B)5
C)4
D)2
E)6
Rationale: A rate = 1/9
B rate = 1/18
(A+B) rate = (1/9)+(1/18) = 1/6
A & B finish the work in 6 days
correct option is E
Answer: E
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
Options:
A)20
B)21
C)22
D)23
E)NONE
Rationale: Sol.
Let the total number of workers be x. Then,
8000x = (12000 × 7) + 6000 ( x – 7)
‹=› 2000x = 42000
‹=› x = 21.
Answer B
Answer: B
Question: Which number need to add to 7844213 to get a number exactly divisible by 549?
Options:
A)418
B)148
C)448
D)248
E)348
Rationale: 7844213 / 549 = 14288 and reminder = 101.
549-101 = 448
So, the next number divisible by 549 is 448 places in front of 7844213
Which means 448 + 7844213 =7844661
448 should be added to 7844213
C
Answer: C
Question: Find The Next Number In Sequence ?
100 365 24 60 ?
Options:
A)55
B)60
C)80
D)90
E)65
Rationale: B
60.
100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour, & 60 seconds in a minute.
Answer: B
Question: in how many ways u can form a group of 11 members from 5 men and 11 women if the men member not more than 3?
Options:
A)2256
B)2356
C)3456
D)4456
E)1554
Rationale: we need team members=11 such that there should not be more than 3 men
so the conditions are (3M,8W),(2M,9W),(1M,10W)
Now, no. of ways=11c11+5c3*11c8+5c2*11c9+5c1*11c10=2256
ANSWER:A
Answer: A
Question: The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes up 18° of the circle, what percentage of MegaTek employees are in manufacturing?
Options:
A)5%
B)25%
C)30%
D)35%
E)72%
Rationale: ANSWER: A 18° divided by 360° equals 0.05, therefore the sector is equal to 5% of the total
Answer: A
Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?
Options:
A)Equal to 3
B)Less than 5
C)More than 5
D)Less than 1/5
E)none of these
Rationale: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5
ANSWER:A
Answer: A
Question: The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Options:
A)9600
B)3337
C)2368
D)2688
E)2611
Rationale: Explanation:
Greatest number of 4-digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600. On dividing 9999 by 600, the remainder is 399. Required number (9999 - 399) = 9600.
Like this ?
Answer:A
Answer: A
Question: On dividing a certain number by 5, 7 and 8 successively, the remainders obtained are 2, 3 and 4 respectively. When the order of division is reversed and the number is successively divided by 8, 7 and 5, the respective remainders R will be:[/b]
Options:
A)3, 3, 2
B)3, 4, 2
C)5, 4, 3
D)R=5, 5, 2
E)6, 4, 3
Rationale: Let the original number be X. Then by the successive dividing we have followings :
X=5A+2
A=7B+3
B=8C+4.
So we have A=7*(8C+4)+3=7*8C+31, and X=5*(7*8C + 31)+2 = 5*7*8C + 157.
Now by dividing X by 8, 7, 5 successively we have followings :
X=8*(5*7C+19)+5
5*7C+19=7*(5C+2) + 5
5C+2=5C+2.
The remainders are, therefore, 5, 5, 2.
The answer is (D).
Answer: D
Question: If a number is chosen at random from the set {1, 2, 3, ...., 100}, then the probability that the chosen number is a perfect cube is ?
Options:
A)1/25
B)1/20
C)1/27
D)1/26
E)1/212
Rationale: We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
4/100 = 1/25.
Answer: A
Answer: A
Question: An bus covers a certain distance at aspeed of 240 kmph in 5 hours. To cover the same distance in 1hr, it must travel at a speed of?
Options:
A)560 km/h
B)567 km/h
C)779 km/h
D)723 km/h
E)720 km/h
Rationale: Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1200 x 3 km/hr = 720 km/hr.
5
E
Answer: E
Question: A rectangular photograph is surrounded by a border that is 2 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 4 inches wide on each side, the total area would have been (M + 94) square inches. What is the perimeter of the photograph, in inches?
Options:
A)34
B)36
C)23
D)40
E)42
Rationale: Let Length and Breadth of photograph be L and B respectively.
Perimeter is given by 2*(L+b) -----(1)
According to the question:
(L+4)(B+4) = m ----(2)
and
(L+8)(B+8) = m + 94 ---------> (L+8)(B+8) - 94 = m ------(3)
Equating (2) and (3)
(L+4)(B+4) = (L+8)(B+8) - 94
LB + 4L + 4B + 16 = LB + 8L + 8B + 64 -94
Simplify
4L + 4B = 46 ------> 2(L+B) =23 (Check eq (1))
Answer is C
Answer: C
Question: How many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?
Options:
A)50
B)60
C)70
D)80
E)90
Rationale: Numbers will be like 102 => 201 = 102 + 99
203 => 302 = 103 + 99
so the hundereth digit and units digit are consecutive where unit digit is bigger than hundred digit.
There will be ninet pairs of such numbers
for every pair there will 10 numbers like for 12 => 102, 112,132,142,152, 162,172,182,192.
Total = 9 *10 = 90 hence E.
Answer: E
Question: A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train?
Options:
A)288
B)180
C)1288
D)1771
E)231
Rationale: Length of the train be ‘X’
X + 120/15 = X + 180/18
6X + 720 = 5X + 900
X = 180m
Answer: B
Answer: B
Question: A pyramid has a square base of 6 cm, and the four lateral faces are four congruent equilateral triangles. What is the total surface area of the pyramid in square cm?
Options:
A)36 + 18*sqrt(3)
B)36 + 36*sqrt(3)
C)72
D)72 + 36*sqrt(3)
E)72 + 72*sqrt(3)
Rationale: First of all, of course, the base has an area of 36. For the lateral surfaces, it would be helpful to remember the formula for the area of an equilateral triangle.
The area of one equilateral triangle is A = (s^2*sqrt{3})/4. We know the side of the equilateral triangle must be the same as the square: s = 6. Thus, one of these equilateral triangles has an area of A = (6^2*sqrt{3})/4 = 9*sqrt{3}. There are four identical triangles, so their combined area is A = 36*sqrt{3}. Now, add the square base, for a total surface area of A = 36 + 36*sqrt{3}. Answer = B
Answer: B
Question: Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts?
Options:
A)$57
B)$47
C)$7
D)$17
E)$27
Rationale: $15 + $9 + $12 = $36 needed
1/4 x $36 = $9 on hand
$36 - $9 = $27 to earn
correct answer E
Answer: E
Question: The commuter rail between Scottsdale and Sherbourne is 200 km of track, and one train makes a round trip in 5 hours. If Harsha boards the train at the Forest Grove station, which is located one fifth of the track's length out from Scottsdale, how long will it take her to get to Sherbourne?
Options:
A).5 hours
B)1 hour
C)1.5 hours
D)2 hours
E)2.5 hours
Rationale: Distance between Scottsdale and Sherbourne = 200 km
Time for a one-way trip between Scottsdale and Sherbourne: 5/2 = 2.5 hours
Distance between Forest Grove and Scottsdale: 200/5 = 40 km
Distance between Forest Grove and Sherbourne: 40 x 4 = 160 km
Time between Scottsdale and Forest Grove: 2.5/5 = .5 hours
Time between Forest Grove and Sherborne: .5 x 4 = 2 hours.
Answer: D
Question: If |x + 3| = 5, what is the sum of all the possible values of x?
Options:
A)-16
B)-12
C)-8
D)-6
E)12
Rationale: There will be two cases
x+3 = 5 or x+3 = -5
=> x = 2 or x= -8
sum of both the values will be -8 + 2 = -6
Answer: D
Answer: D
Question: Find the odd man out. 4, 9, 16, 25, 49, 20
Options:
A)12
B)9
C)1
D)20
E)19
Rationale: 20 is an square. All other given numbers are square
Answer : Option D
Answer: D
Question: When x is divided by y, the quotient is s with remainder r. What is x in terms of r, y, and s?
Options:
A)y + r + s
B)ys + r
C)x/y+r
D)y/s+r
E)rs + y
Rationale: (x/y) = s + r
solve for x
x=(s*y)+r
Ans B.
Answer: B
Question: John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Options:
A)19.7
B)19.9
C)21.5
D)22
E)23.7
Rationale: Total cost of the items he purchased = Rs.25
Given that out of this Rs.25, 30 Paise is given as tax
=> Total tax incurred = 30 Paise = Rs.30/100
Let the cost of the tax free items = x
Given that tax rate = 6%
∴ (25−30/100−x)6/100 = 30/100
⇒ 6(25 −0.3 −x) = 30
⇒ (25 − 0.3 − x) = 5
⇒ x = 25 − 0.3 − 5 = 19.7
A)
Answer: A
Question: 10women can complete a work in 7days&10children take 14days to complete the work. How many days will 5women and 10children take to complete the work?
Options:
A)5 days
B)7 days
C)8 days
D)9 days
E)11 days
Rationale: 1 woman's 1 day's work = 1/70
1 Child's 1 day's work = 1/140
5 Women and 10 children 1 day work =
(5/70+10/140)=1/7
So 5 women and 10 children will finish the work in 7 days.
B)
Answer: B
Question: The ratio between x and y is 8/5; x and y are decreased by 5, what is the ratio between the new values of x and y?
Options:
A)8/5
B)5/8
C)4
D)5
E)It Cannot Be Determined
Rationale: Ratio = 8k/5k = 8/5, 16/10, etc.
x and y are decreased by 5 --> (8k - 5)/(5k - 5)
New ratio can be 3/0, 11/5, etc.
Answer: E
Answer: E
Question: The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $20,000?
Options:
A)$38,796.
B)$40,000.
C)$19,488.
D)$39,679.
E)$36,796.
Rationale: 20,000 *1.16*.84= Unit and tens digit of the expression is 6 and 7 respectively.
Only option C fulfills the condition and hence is the answer
Answer: C
Question: A pet store has 4 birds, 6 cats and 5 dogs available. In how many ways can 2 birds, 2 cats and 3 dogs be selected from the store?
Options:
A)987 ways
B)960 ways
C)900 ways
D)157 ways
E)134 ways
Rationale: The number of ways of selecting three birds, two cats and three dogs is:
= ⁴C₂ * ⁶C₂ * ⁵C₃
= (4 * 3)/(2 * 1) * (6 * 5)/(2 * 1) * (5 * 4 * 3)/(3 * 2 * 1)
= 6 * 15 * 10
= 900 ways.
Answer: C
Answer: C
Question: What is 15 percent of 64?
Options:
A)7.2
B)8.4
C)9.6
D)10.4
E)11.8
Rationale: (15/100) * 64 = 9.6
The answer is C.
Answer: C
Question: Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.6 km?
Options:
A)600 m
B)200 m
C)300 m
D)400 m
E)100 m
Rationale: A
600 m
Distance covered by Amar = 18/4.8 (1.6km) = 3/8(1600) = 600 m
Answer: A
Question: Choose any 4 desserts from a menu of 10?
Options:
A)120
B)140
C)180
D)210
E)240
Rationale: 10c4 = 210
Answer is D
Answer: D
Question: A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
Options:
A)34
B)40
C)68
D)88
E)92
Rationale: Given that length and area, so we can find the breadth.
Length x Breadth = Area
20 x Breadth = 680
Breadth = 34 feet
Area to be fenced = 2B + L = 2 (34) + 20 = 88 feet answer : D
Answer: D
Question: Anne bought doughnuts for a class breakfast party. She bought 6 chocolate doughnuts, 8 coconut doughnuts, and 8 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Options:
A)22
B)36
C)39
D)21
E)11
Rationale: Add the numbers of doughnuts.
6 + 8 + 8 =22.
Answer is A.
Answer: A
Question: Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
Options:
A)10
B)12
C)15
D)16
E)18
Rationale: Let the numbers be x, x+2 and x+4 then
x + x+2 + x+4 = x+26
3x + 6 = x + 26
2x = 20
\inline \therefore x = 10
\inline \therefore Middle number = x + 2 = 10+2 = 12
B
Answer: B
Question: Rs.1560 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Options:
A)s.528
B)s.542
C)s.528
D)s.720
E)s.549
Rationale: A+B+C = 1560
4A = 3B = 2C = x
A:B:C = 1/4:1/3:1/2 = 3:4:6
6/13 * 1560 = Rs.720
Answer: D
Answer: D
Question: John makes $65 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase?
Options:
A)16%
B)10.76%
C)10.69%
D)10.98%
E)10%
Rationale: Increase = (7/65)*100 = (7/65)*100 = 10.76%.
B
Answer: B
Question: Jimmy has a pot of soup, and he ate 1/5 of the soup for lunch. If Jimmy ate 1/6 of the remaining soup for dinner, what fraction of the soup was left after dinner?
Options:
A)1/2
B)2/3
C)3/4
D)4/5
E)5/6
Rationale: Let x be the amount of soup at the beginning.
After lunch, the remaining soup was (4/5)x.
After dinner, the remaining soup was (5/6)(4/5)x = (2/3)x.
The answer is B.
Answer: B
Question: By investing Rs. 1800 in 9% stock, Syam earns Rs. 120. find out the stock is then quoted at which rate?
Options:
A)130
B)135
C)140
D)150
E)145
Rationale: Assume that face value = Rs.100.
Dividend per share = Rs.9 (as it is a 9% stock)
By investing Rs. 1800, he earns Rs.120
Investment needed to earn Rs.9 = 1800×9/120 = Rs.135
ie, stock is then quoted (then market value) = Rs.135
Answer is B.
Answer: B
Question: Ashok secured average of 80 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
Options:
A)38
B)27
C)99
D)110
E)80
Rationale: Explanation:
Number of subjects = 6
Average of marks in 6 subjects = 80
Therefore total marks in 6 subjects = 80 * 6 = 480
Now, No. of subjects = 5
Total marks in 5 subjects = 74 * 5 = 370
Therefore marks in 6th subject = 480 – 370 = 110
ANSWER: D
Answer: D
Question: A large box contains 18 small boxes and each small box contains 25 chocolate bars. How many chocolate bars are in the large box?
Options:
A)350
B)250
C)450
D)550
E)650
Rationale: The number of chocolate bars is equal to
18 ? 25 = 450
correct answer C
Answer: C
Question: The average age of 50 students in a class is 14 years. If the age of teacher is also included, the average becomes 15 years, find the age of the teacher.
Options:
A)30
B)65
C)60
D)55
E)56
Rationale: Explanation:
If teacher's age is 14 years, there is no change in the average. But teacher has contributed 1 year to all the students along with maintaining his age at 15.
Age of teacher = Average age of all + Total increase in age
= 15 + (1 x 50 ) = 65 years
Answer:B
Answer: B
Question: It costs a publishing company 50,000 dollars to make books. The 50,000 is a fixed cost or a cost that cannot change. To help the publishing company sell the books, a marketing company charges 4 dollars for each book sold. If the company charges 9 dollars per book, how many books should they sell to break even?
Options:
A)100
B)1000
C)10000
D)100000
E)None
Rationale: Let C be the cost of producing and selling x books
Let R be the revenue made for selling x books
R = selling price of 1 book × number of books sold
R = 9x
C = fixed cost + variable cost
variable cost = fee charged for 1 book × number of books sold
variable cost = 4x
C = 50000 + 4x
R = C
9x = 50000 + 4x
9x - 4x = 50000 + 4x - 4x
5x = 50000
x = 10000 since 5 × 10000 = 50000
The break even point is to sell 10000 books.
Answer C
Answer: C
Question: How many positive integers less than 14 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
Options:
A)14
B)13
C)12
D)11
E)8
Rationale: The number = 2a + 3b < 20
When a = 1, b = 1, 2, 3, 4, 5 -> 2a = 2; 3b = 3, 6, 9-> the number = 5, 8, 11 --> 3 numbers
when a =2, b = 1,2,3-> ....--> 3 numbers
when a =3, b = 1,2,3,4 --> ....--> 2 numbers
Total number is already 8. Look at the answer there is no number greater than 8 --> we dont need to try any more
Answer must be E
Answer: E
Question: 01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?
Options:
A)Wednesday
B)Sunday
C)Friday
D)Tuesday
E)None of these
Rationale: Explanation :
Given that January 1, 2007 was Monday.
Odd days in 2007 = 1 (we have taken the complete year 2007 because we need to find out the odd days from 01-Jan-2007 to 31-Dec-2007, that is the whole year 2007)
Hence January 1, 2008 = (Monday + 1 Odd day) = Tuesday. Answer : Option D
Answer: D