mathewhe/aqua_rat huggingface dataset:
Question: A rectangular room 14 m long, 12 m broad is surrounded by a varandah, 3 m wide. Find the area of the varandah?
(A) 170
(B) 180
(C) 190
(D) 210
(E) 150
Rationale: Area of varandah = (l+b+2p)2p
= (14 + 12 + 6 ) 6
= 180 m(power)2
Answer is B.
Answer: (B) 180
Question: What is the probability that a 3 person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains exactly 1 woman?
(A) 77/204
(B) 77/832
(C) 11/77
(D) 385/816
(E) 22/832
Rationale: Total possible selections = 3 out of 18 group members = 18C3
Favorable selections = 1 out of 7 women and 2 out of 11 (= 6 men + 5 children) = 7C1 * 11C2
Thus the required probability = 7C1*11C2 / 18C3 = 385/816. Thus D is the correct answer.
Answer: (D) 385/816
Question: If you multiply all the numbers on your mobile phone except 0, what is the answer?
(A) 256485
(B) 362880
(C) 125425
(D) 0
(E) 125826
Rationale: We have to multiply 1 to 9 to find the answer.
Therefore 1*2*3*4*5*6*7*8*9=362880
Answer is B
Answer: (B) 362880
Question: The variable x is inversely proportional to the square of the variable y. If y is divided by 2a, then x is multiplied by which of the following?
(A) 1/4a
(B) 1/4a^2
(C) 1/2a
(D) 4a
(E) 4a^2
Rationale: initially - did x= 1/y^2
But this yielded the wrong answer,
I then re examined the question and tried y^2/x =1
Which I then got y = SQR(X)
subbing into y/2a I got answer E)
Answer: (E) 4a^2
Question: 9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height. What is the diameter of each sphere?
(A) 4 cm
(B) 6 cm
(C) 8 cm
(D) 10 cm
(E) 12 cm
Rationale: Volume of cylinder = pi*r^2*h
Volume of a sphere = 4*pi*R^3 / 3
9*4*pi*R^3 / 3 = pi*r^2*h
R^3 = r^2*h / 12 = 64 cm^3
R = 4 cm
D = 8 cm
The answer is C.
Answer: (C) 8 cm
Question: In how many ways Chief Minister and Minister be elected froma team of 12 members?
(A) 126
(B) 128
(C) 132
(D) 146
(E) 147
Rationale: To do this, if captain is elected first, then we have 12 ways of doing this.
For election of vice-captain, we have only 11 ways left, coz 1 way is already consumed. (Situations like this is called dependent situation. One selection depends upon other selection.)
So, the ans is 12*11 = 132 ways.
C
Answer: (C) 132
Question: If 20% of a = b, then b% of 20 is the same as :
(A) 4% of a
(B) 6% of a
(C) 8% of a
(D) 10% of a
(E) 12% of a
Rationale: Explanation:
20% of a = b =>20/100 a=b
b% of 20 =b/100 x 20 =20 a/100 x 1/100 x 20 =4a/100 =4% of a.
ANSWER IS A
Answer: (A) 4% of a
Question: The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m
95 cm is
(A) 16cm
(B) 25cm
(C) 15cm
(D) 35cm
(E) 45cm
Rationale: Explanation:
So by now, you must be knowing this is a question of HCF, right.
H.C.F. of (700 cm, 385 cm, 1295 cm) = 35 cm.
Answer: Option D
Answer: (D) 35cm
Question: The boat moves downside 100km and upside 20km in 2 hours each. Then find the boat speed in still water?
(A) 15km/hr
(B) 25km/hr
(C) 30km/hr
(D) 20km/hr
(E) 40km/hr
Rationale: Down stream = 100/2 = 50km/hr
Up stream = 20/2 = 10km/hr
speed of boat in still water = 60/2 = 30km/hr
Answer is C
Answer: (C) 30km/hr
Question: Find the odd man out
253, 136, 352, 326, 631, 244
(A) 326
(B) 136
(C) 352
(D) 631
(E) 531
Rationale: The sum all three digits comes to 10 except 326
ANSWER:A
Answer: (A) 326
Question: When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
(A) 238
(B) 671
(C) 297
(D) 200
(E) 211
Rationale: When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6
= 1296 outcomes.
The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5
= 625 outcomes.
Therefore, the number of outcomes in which at least one die will show 3 = 1296 – 625
= 671
Answer: B
Answer: (B) 671
Question: Eight persons participated in a shooting competition. The top score in the competition is 85 points. Had the top score been 92 points instead of 85 points, the average score would have been 84. Find the number of points actually scored in the competition.
(A) 645
(B) 655
(C) 665
(D) 636
(E) 656
Rationale: Let the actual number of points scored be x,
Then [ x + (92 –85 )] /8 = 84, ( x + 7) /8 = 84 , x = ( 84*8 )- 7,
= 672 - 7 = 665
ANSWER:C
Answer: (C) 665
Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is
(A) 5/18
(B) 5/12
(C) 5/15
(D) 5/14
(E) 5/11
Rationale: Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5/12.Answer:B
Answer: (B) 5/12
Question: In May, Xiang sold 15 used cars. For these 15 cars, the range of the selling price was $15,000 and the lowest selling price was $4,500. In June, Xiang sold 10 used cars. For these 10 cars, the range of the selling prices was $16,500 and the lowest selling price was $6,500. What was the range of the selling prices of the 25 used cars sold by Xiang in May and June?
(A) 1. $15,600
(B) 2. $15,750
(C) 3. $16,820
(D) 4. $18,500
(E) 5. $19,200
Rationale: Edited the question as there was a typo.
Range = Highest Value - Lowest Value.
Range in May was 15,000 and the lowest price in May was 4,500, thus the highest price in May was 15,000+4,500=19,500.
Range in June was 16,500 and the lowest price in June was 6,500, thus the highest price in June was 16,500+6,500=23,000.
Lowest price of a car in May-June was 4,500 (May) and the highest price of a car in May-June was 23,000, thus the range for May-June is 23,000-4,500=18,500.
Answer: D.
Answer: (D) 4. $18,500
Question: Three candidates contested an election and received 1130, 7630 and 15620 votes respectively. What percentage of the total votes did the winning candidate get?
(A) 57%
(B) 60%
(C) 64%
(D) 90%
(E) 80%
Rationale: total votes are 24380 ( sum of votes obtained by 3 candidates)
percentage of the total votes recd by the winning candidate = 100*15620/24380 = 64%
ANSWER:C
Answer: (C) 64%
Question: What least value should be replaced by * in 2551112* so the number become divisible by 6
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Rationale: Explanation:
Trick: Number is divisible by 6, if sum of all digits is divisible by 3 and 2, so (2+5+5+1+1+1+2+*) = 17+* should be divisible by ,
17+1 will be divisible by 3,
but we can't take this number because 1 is not dividable by 2(2 only dividable by those numbers who contain even number at last position)
so that least number is 4.
Answer: Option B
Answer: (B) 4
Question: A new condo development is offering buyers the option to choose from 4 different counter top styles, 5 floor types and 4 colors of paint. In order to keep costs to the minimum, the buyer would like to choose from the lower cost options. In how many ways can 3 styles of counter tops, 2 colors floor types, and 3 colors of paint be selected from the given group?
(A) 112 ways
(B) 99 ways
(C) 80 ways
(D) 64 ways
(E) 12 ways
Rationale: The number of ways of selecting three styles of counter tops, two floors and three colors of paint is:
= ⁴C₃ * ⁵C₂ * ⁴C₃
= (4 * 3 * 2)/(3 * 2 * 1) * (5 * 4)/(2 * 1) * (4 * 3)/(3 * 2 * 1)
= 4 * 10 * 2
= 80 ways.
Answer: C
Answer: (C) 80 ways
Question: An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?
(A) 1200
(B) 1240
(C) 1852
(D) 3200
(E) 2500
Rationale: Then, 0.08% of x = 2
(8/100)*(1/100)x = 2
x = (2*100*100)/8 = 2500
Answer is E
Answer: (E) 2500
Question: A certain sum of money is divided among A, B and C such that A gets one-third of what B and C together get and B gets two-seventh of what A and C together get. If the amount received by A is $30 more than that received by B, find the total amount shared by A, B and C.
(A) $1080
(B) $1180
(C) $1280
(D) $1380
(E) $1480
Rationale: A = 1/3 (B+C) => C = 3A - B ---(1)
B = 2/7 (A+C) => C = 3.5 B - A --(B)
A-B = $30
A = 30+B
(1)===> C = 90+3B - B = 2B+90 ==> 2B-C = -90 ---(3)
(2)===> C = 3.5 B - B-30 = 2.5B-30==>2.5B-C = 30---(4)
from (4) and (3) 0.5B = 120
B = $240
A= $270
C =810-240=$570 Total amount = 270+240+570 = $1080
Answer: A
Answer: (A) $1080
Question: How many prime numbers are between 51/13 and 89/9?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
Rationale: 51/13= 4-
89/9= 10-
Prime numbers between 4 and 10 are 5 and 7
- sign signifies that the number is marginally less .
Answer C
Answer: (C) 2
Question: If the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
(A) 14
(B) 8
(C) 12
(D) 4
(E) 18
Rationale: Let length of rectangle = L
4^2 = L*4
=> L = 16/4 = 4
Answer D
Answer: (D) 4
Question: If 144/0.144 = 14.4/x, then the value of x is:
(A) 0.144
(B) 1.44
(C) 0.0144
(D) 0.014
(E) 0.00144
Rationale: =144/0.144 = 14.4/x
=144 x 1000/144
=14.4/x
=x = 14.4/1000
= 0.0144
Answer is C.
Answer: (C) 0.0144
Question: How much 45% of 60 is greater than 35% of 40?
(A) 18
(B) 13
(C) 15
(D) 17
(E) 71
Rationale: (45/100) * 60 – (35/100) * 40
27 - 14 = 13
Answer: B
Answer: (B) 13
Question: For a certain alarm system, each code is comprised of 5 digits, but no digit can be used more than twice. How many codes can be made?
(A) 30,240
(B) 60,480
(C) 91,440
(D) 98,240
(E) 101,040
Rationale: Case 1: All digits distinct
Select 5 digits out of 10 in 10C5 ways and arrange them in 5! ways which gives us 10C5x5! = 30240
Case 2: Two digits are same, other 3 are distinct e.g. 45722
Select a digit which is to be repeated in 10C1 ways, select other 3 digits in 9C3 ways and arrange them in 5!/2! ways to get 10C1 x 9C3 x 5!/2! = 50400 ways
Case 3: Two digits repeated and one other digit e.g. 33448
Select 2 digits to be repeated in 10C2 ways, select the single digit in 8C1 ways and arrange them all in 5!/2!.2! ways to get 10C2 x 8C1 x 5!/2!.2! = 10800
Sum of all = 30240 + 50400 + 10800 = 91440 ways
ANS:C
Answer: (C) 91,440
Question: There are five newly appointed teachers in a college. The weight of first teacher is 200 kg and the weight of the 2nd teacher is 20% higher than the weight of the third teacher, whose weight is 25% higher than the first teacher's weight. The fourth teacher at 350 kgs is 30% lighter than the fifth teacher. Find the average weight of all the five teachers.
(A) 310
(B) 320
(C) 240
(D) 260
(E) 270
Rationale: Explanation :
Weight of first teacher = 200 kg
Weight of 3rd teacher = 250kg
=> Weight of 2nd teacher = 300 kg
Weight of 4th teacher = 350 kg
=> Weight of 5th teacher = 350/0.7 = 500 kg
Average weight = 1600/5 = 320 kg.
Answer : B
Answer: (B) 320
Question: A professional athlete was offered a three-year contract to play with Team K that provided for an annual salary of $100,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and a bonus of $50,000 on signing. Team L offered a three-year contract providing for an annual salary of $150,000 in the first year, an increase in annual salary of 20% over the previous year for the next two years, and no signing bonus. If he accepts the offer of Team L and fulfills the three-year contract terms, the athlete will receive how much more money by choosing Team L over Team K ?
(A) $132,000
(B) $50,000
(C) $82,500
(D) $92,000
(E) $100,000
Rationale: Team K's contract = $100,000 + $100,000*1.2 + $100,000*1.2*1.2 + $50,000 = $414,000
Team L's contract = $150,000 + $150,000*1.2 + $150,000*1.2*1.2 = $546,000
The difference = $132,000.
Answer: A.
Answer: (A) $132,000
Question: What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high?
(A) 10 cm
(B) 12 cm
(C) 15 cm
(D) 13 cm
(E) 16 cm
Rationale: d2 = 122 + 42 + 32 = 13
ANSWER:D
Answer: (D) 13 cm
Question: The table below shows how many coaches work with each of the major sports teams at Kristensen School. Although no single coach works with all three teams, 3 coaches work with both the Track and Tennis teams, 2 coaches work with both the Track and Baseball teams, and 1 coach works with both the Tennis and Baseball teams. How many different coaches work with these three teams?
Sports No of coaches
Track 7
Tennis 5
Baseball 4
(A) 6
(B) 10
(C) 11
(D) 12
(E) 17
Rationale: X = 7+ 5 + 4 - (3 + 2 + 1) = 10
Answer is B
Answer: (B) 10
Question: Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 5 times his original investment. What is the value of n?
(A) 50 years
(B) 25 years
(C) 12 years 6 months
(D) 37 years 6 months
(E) 40 years
Rationale: Explanatory Answer
Let us say Braun invested $100.
Then, at the end of 'n' years he would have got back $500.
Therefore, the Simple Interest earned = 500 - 100 = $400.
We know that Simple Interest = (Principal * number of years * rate of interest) / 100
Substituting the values in the above equation we get 400 = (100 * n * 8) / 100
Or 8n = 400
Or n = 50 years.
correct choice is (A)
Answer: (A) 50 years
Question: John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?
(A) 16%
(B) 16.66%
(C) 18%
(D) 21%
(E) 75%
Rationale: Increase = (30/40)*100 = 75%.
E
Answer: (E) 75%
Question: Of the 20 guests at a party, 10 percent are women. How many men must leave in order to bring the number of women up to 50 percent of the guests?
(A) 18
(B) 14
(C) 16
(D) 4
(E) 2
Rationale: Now, there are 2 women (10% of 20) and 20-2=18 men at a party. We need there to be 2 women and 2 men, in this case there will be 50% women and 50% men.
Therefore 18-2=16 men must leave.
Answer: C.
Answer: (C) 16
Question: The entire contents of a full sack of flour can be used to make 15 cupcakes and 10 pizzas. The same full sack of flour can be used to make 7 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
(A) 10
(B) 21 1/2
(C) 18 3/4
(D) 19
(E) 19 1/4
Rationale: 15x+10y=7x+14y
x=1/2y. Answer B
Answer: (B) 21 1/2
Question: A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits?
(A) 28
(B) 189
(C) 17
(D) 12
(E) 01
Rationale: Explanation:
x * 3/5 * 1/5 = 9
x = 75 => 7 + 5 = 12
Answer: D
Answer: (D) 12
Question: Set S is the prime integers between 0 and 35. If three numbers are chosen randomly from set S, what is the probability that the sum of these three numbers is odd?
(A) 15/56
(B) 3/8
(C) 15/28
(D) 8/11
(E) 3/4
Rationale: Total number of combinations=11C3=165................(1)
Total number of combinations including 2 and two other numbers=10C2=45......................(2)
Therefore the difference ie. (1)-(2) is the set of 3 primes without 2=(165-45)=120
So, probability=120/165=8/11
D
Answer: (D) 8/11
Question: In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?
(A) 1/2
(B) 2/3
(C) 4/5
(D) 6/11
(E) 4/5
Rationale: Probability that trouser is not grey = 2/3
Probability that shirt is not grey = 3/4
∴ Required probability = 2/3 x 3/4 = 1/2
A
Answer: (A) 1/2
Question: If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a five-percent vinegar solution, what was the concentration of the original solution?
(A) 19.3%
(B) 25.8%
(C) 16.67%
(D) 15.5%
(E) 12.5%
Rationale: Let X be the quantity of non-vinegar in the strong vinegar solution
Thus vinegar quantity will be 12 - X
When 50 ounces of water were added the percentage of vinegar becomes 5%, thus (12 - X)/62 = 5/100
From this equation X = 8.9
Answer (12-8.9)/12 = 25.8%
ANSWER:B
Answer: (B) 25.8%
Question: Lucy deposited $62500 in an investment fund that provided 24 percent annual return compounded half yearly.If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $10400?
(A) 0.5
(B) 1
(C) 3
(D) 6
(E) 6.1
Rationale: A = P + I = 62500 + 10400 = 72900
72900 = 62500(1 + 24/2*100)^(2t)
(676/625) = (112/100)^(2t)
(27/25)^2 = (27/25)^2t
t = 1yrs =
Answer: B
Answer: (B) 1
Question: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
(A) 90
(B) 125
(C) 145
(D) 225
(E) None of these
Rationale: 1 man’s 1 day’s work = 1⁄100
(10 men + 15 women)’s 1 day’s work = 1⁄6
15 women’s 1 day’s work
= (1⁄6 - 10⁄100) = (1⁄6 - 1⁄10) = 1⁄15
∴ 1 woman’s 1 day’s work = 1⁄225
∴ 1 woman alone can complete the work in 225 days
Answer D
Answer: (D) 225
Question: Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
(A) 5!
(B) 8!
(C) 9!
(D) 12!
(E) 11!
Rationale: Ans.(B)
Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
Answer: (B) 8!
Question: If the tens digit of positive integer x is 2 and the tens digit of positive integer y is 2, how many possible values of the tens digit of 2(x+y) can there be?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Rationale: We only need to consider the tens and ones digits of x and y, and the last two digits can be represented as 20 + p and 20 + q respectively.
2(20+p+20+q)= 80 + 2(p + q)
2(p+q) can range from 0 up to a maximum value of 36 when p=q=9.
Then the tens and ones digits of 2(x+y) can range from 80 up to 16.
That is, the tens digit can be 8, 9, 0, or 1.
There can be 4 possibilities for the tens digit.
The answer is C.
Answer: (C) 4
Question: If a + b - c = 4d, and if a - b + c = 4e, then a =
(A) 2(d + e)
(B) d – e
(C) 3(d + e)/2
(D) d-2e
(E) e-d
Rationale: Add both equations:
a + b - c = 4d
a - b + c = 4e
a+b-c+a-b+c=4d+4e
2a=4d+4e
a=2(d+e)
Ans:A
Answer: (A) 2(d + e)
Question: Rose is two years older than Bruce who is twice as old as Chris. If the total of the age of Rose, B and Chris be 47 years, then how old is Bruce ?
(A) 18 years
(B) 10 years
(C) 12 years
(D) 13 years
(E) 14 years
Rationale: Let Chris's age be x years. Then, Bruce's age = 2x years.Rose's age = (2x + 2) years.
(2x + 2) + 2x + x = 47
5x = 45
x = 9
Hence, Bruce's age = 2*9 = 18 years.
Answer : A
Answer: (A) 18 years
Question: First train 108 m long moving at a speed of 50 km/hr crosses a second train 112 m long coming from opposite direction in 6 seconds. Find the speed of the second train ??
(A) 82 km/hr
(B) 80 km/hr
(C) 90 km/hr
(D) 60 km/hr
(E) 62 km/hr
Rationale: speed of the second train consider as x
relative speed = (x+50)*5/18 m/sec
(250+5x/18) m/sec
distance = (108 + 112) = 220 m
==> 220/(250+5x/18) = 6
250 + 5x = 660
=>x = 82 km/hr
ANSWER A
Answer: (A) 82 km/hr
Question: 445
2a3
+ 64b
+ c53
____
1892
If a and b represent positive single digits in the correctly worked computation above, what is the value of a + b + c ?
(A) 2
(B) 7
(C) 9
(D) 11
(E) 12
Rationale: Adding the digits in unit's place , 5+ 3 + b + 3 = 12 (Since a and b are positive single digits )
=> b = 2
Now adding the digits in ten's place , 4+a + 4 + 5 + 1= 19 (1 has been carried over from unit's place addition)
=> a= 5
Now adding the digits in hundred's place , 4+ 2 + 6 +C + 1= 18 (1 has been carried over from unit's place addition)
=> C= 5
a+b + C = 2+2+5
=12
Answer E
Answer: (E) 12
Question: Bombay Express left Delhi for Bombay at 14:30hrs travelling at a speed of 60kmph and Rajdhani Express left Delhi for Bombay on the same day at 16:30hrs travelling at a speed of 80kmph. How far away from Delhi will the two trains meet
(A) 120km
(B) 360km
(C) 480km
(D) 500km
(E) 600km
Rationale: Explanation:
Suppose they meet x hours after 14:30hrs
Then, 60x = 80(x-2) => x=8
Required distance = 60×8 = 480km
Answer: Option C
Answer: (C) 480km
Question: 20 liters of a mixture is created by mixing Liquid P and Liquid Q in the ratio 3:2. How many liters of Liquid Q must be added to make the ratio 4:3?
(A) 1
(B) 3
(C) 5
(D) 7
(E) 9
Rationale: Let x be the amount of liquid Q to be added.
(2/5)*20 + x = (3/7)*(20+x)
280 + 35x = 300 + 15x
20x = 20
x = 1
The answer is A.
Answer: (A) 1
Question: An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o’clock in the afternoon?
(A) 60°
(B) 90°
(C) 180°
(D) 210°
(E) None of these
Rationale: Sol.
Angle traced by the hour hand in 7 hours = [360/12 * 7]° = 210°
Answer D
Answer: (D) 210°
Question: Dacid obtained 45, 35, 52, 47 and 55 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
(A) 79
(B) 99
(C) 47
(D) 89
(E) 45
Rationale: Average = (45+35+ 52+ 47+55)/5
= 234/5 = 47.
Answer:C
Answer: (C) 47
Question: Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per page each time a page is revised. If a certain manuscript has 200 pages, of which 80 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
(A) $1360
(B) $1620
(C) $1650
(D) $680
(E) $770
Rationale: For 200-80-20=100 pages only cost is 5$ per page for the first time page is typed - 100*5=500$;
For 80 pages the cost is: first time 5$ + 3$ of the first revision - 80*(5+3)=640$;
For 20 pages the cost is: first time 5$ + 3$ of the first revision + 3$ of the second revision - 20(5+3+3)=220$;
Total: 500+640+220=1360$.
Answer: A.
Answer: (A) $1360
Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?
(A) 1.
(B) 2.
(C) 3.
(D) 4.
(E) 5.
Rationale: Total boxes = 23
Filled with toys = 18
Filled with appliance = 5
Total boxes for sale = 8
Toy boxes for sale = 5
Appliance boxes for sale = 3
Appliance boxes not for sale = 5 - 3 = 2
Correct Option: B
Answer: (B) 2.
Question: A, B and C enter into partnership. A invests 3 times as much as B invests and B invests two third of what C invests. At the end of the year, the profit earned is Rs. 8500. What is the share of B?
(A) 1545.45
(B) 1545.48
(C) 1545.42
(D) 1545.46
(E) 1545.43
Rationale: Explanation:
Let C's capital = Rs. y. Then, B's capital = Rs. (2/3)y
A's capital = Rs. (3 × (2/3)y) = Rs. 2y
Therefore, ratio of their capitals
= 2y : (2/3)y : y
= 6 : 2 : 3
Hence, B's share = Rs. (8500 x 2/11) = Rs. 1545.45
ANSWER: A
Answer: (A) 1545.45
Question: If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 16?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Rationale: @(n) = 5n - n
We need to find the largest positive integer such that 5n - n < 16.
Then 4n < 16 and n < 4.
The largest possible integer is n = 3.
The answer is C.
Answer: (C) 3
Question: Find avrg speed if a man travels at speed of 24km/hr up and 36km/hr dawn at an altitude of 200m.
(A) 25.8
(B) 26.8
(C) 27.8
(D) 28.8
(E) 29.8
Rationale: avg speed=2*x*y/(x+y)
=2*24*36/(24+36)=28.8
ANSWER:D
Answer: (D) 28.8
Question: The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
(A) Rs.32
(B) Rs.28
(C) Rs.36
(D) Rs.25
(E) None of these
Rationale: Let the cost of each pen and pencil be 'p' and 'q' respectively.
16p + 8q = 352 --- (1)
4p + 4q = 96
8p + 8q = 192 --- (2)
(1) - (2) => 8p = 160
=> p = 20
ANSWER:E
Answer: (E) None of these
Question: 34.97 + 240.016 + 23.98 = ?
(A) 298.966
(B) 298.694
(C) 289.496
(D) 289.469
(E) 298.964
Rationale: 34.97
240.016
+ 23.98
--------
298.966
Answer is A.
Answer: (A) 298.966
Question: If 42.36 = k(14 + m/50), where k and m are positive integers and m < 50, then what is the value of k + m ?
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Rationale: 42.36 = 14K + Km/50...we can rewrite the number as follows:
42+ 0.36= 14K + Km/50........Since K is integer, then 42=14K..........K=3
0.36=Km/50......36/100=3m/50......m=6
k+m=3+6=9
Answer: D
Answer: (D) 9