RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many different ways can you select a pilot and a co pilot if you have 45 people to choose from?
A. 199
B. 1980
C. 3984
D. 4950
Answer: B. 1980
Explanation: You are not just choosing two from 45. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.
So the answer is in a sense (45C2) x 2 = 1980.
Ans B
Question: Three sets of 40, 50 and 60 students appeared for an examination and the pass percentage was 100, 90 and 80 respectively. the pass percentage of the whole set is
A.88.33
B.84.33
C.88.66
D.84.66
Answer: C.88.66
Explanation: total passed student =40+45+48=133
133 is 88.66% of 150
ANSWER:C
Question: Arabica coffee costs $0.3 per ounce while Robusta coffee costs $0.2 per ounce. If the blend of Arabica and Robusta costs $0.22per ounce, what is the share of Arabica in this blend?
A.20%
B.24%
C.30%
D.33%
Answer: A.20%
Explanation: a= amount of arabica coffee
1-a = amount of robusta coffee. because if you subtract a from the 1 ounce, the remaining amount is robusta
therefore:
.3a + .2(1-a) = .22
.3a + .2 - .2a = .22
a= .2
therefore: .2/1 ounce = 20%. Therefore, the answer should be A
Question: If N = 2^0.25 and N^b = 16, b must equal
A.3/80
B.3/5
C.4
D.16
Answer: D.16
Explanation: 25/100 = 1/4
N = 2 ^ 1/4
N^b = 2^4
(2^1/4)^b = 2^4
b = 16
Answer: D
Question: If 7 is added to four times a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by 6 and 7 is added to the product. What is the number?
A.-4
B.-3
C.-5
D.-2
Answer: D.-2
Explanation: let the number be x;
5(7+4x)=6x+7;
x=-2
ANSWER:D
Question: Two pipes can fill a tank in 30 minutes and 20 minutes. An outlet pipe can empty the tank in 15 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
A.48
B.54
C.60
D.66
Answer: C.60
Explanation: Let V be the volume of the tank.
The rate per minute at which the tank is filled is:
V/30 + V/20 - V/15 = V/60 per minute
The tank will be filled in 60 minutes.
The answer is C.
Question: Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
A.4, 8, 12
B.5, 10,15
C.10, 20, 30
D.12, 24, 36
Answer: D.12, 24, 36
Explanation: Solution
Let the required numbers be x, 2x and 3x.
Then, their H.C.F = x. So x = 12.
The numbers are 12, 24, 36.
Answer D
Question: 3^3+3^3+3^3=?
A.a) 3^3
B.b) 3^4
C.c) 3^5
D.d) 3^6
Answer: B.b) 3^4
Explanation: The correct answer is B 3^4
3^4 = 3^3+3^3+3^3
Question: Jim’s Taxi Service charges an initial fee of $2.25 at the beginning of a trip and an additional charge of $0.15 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?
A.$3.15
B.$4.45
C.$3.60
D.$5.05
Answer: C.$3.60
Explanation: Let the fixed charge of Jim’s Taxi Service = 2.25 $
and charge per 2/5 mile(.4 mile) = .15$
Total charge for a trip of 3.6 miles = 2.25 + (3.6/.4) * .15
= 2.25 + 9*.15
= 3.6 $
Answer C
Question: if lox x[9/16] = 1/2 then the value of x
A.256/81
B.250/87
C.-3/4
D.3/4
Answer: A.256/81
Explanation: lox x (9/16) =1/2
x^-1/2 = 9/16=>x=256/81
ANSWER A
Question: if 36% of a number is 72, what is the number?
A.100
B.200
C.250
D.300
Answer: B.200
Explanation: Assume number as x then
0.36*x = 72
x = 200
ANSWER:B
Question: If the cost price is 92% of the selling price, then what is the profit percent?
A.9%
B.11%
C.13%
D.21%
Answer: A.9%
Explanation: Let S.P. = $100
C.P. = $92
Profit = $8
Profit% = 8/92 * 100 = 25/6 = 9% approximately
Answer is A
Question: A father is now three times as old as his son. Nine years back, he was four times as old as his son. The age of the son (in years) is
A.A)12
B.B)15
C.C)18
D.D)27
Answer: D.D)27
Explanation: Explanation:
Let son's age be x years. Then, father's age = (3x) years.
Nine years ago, father's age = (3x - 9) years and son's age = (x - 9) years.
So, 3x - 9 = 4 (x - 9)=> 3x - 9 = 4x - 36=> x = 27.
Answer: D
Question: In a certain village, 200 litres of water are required per household per month. At this rate, if there are 10 households in the village, how long (in months) will 2000 litres of water last?
A.1
B.20
C.2
D.200
Answer: A.1
Explanation: I find it much easier to understand with real numbers, so choose (almost) any numbers to replace m,n and p:
In a certain village,m 200 litres of water are required per household per month. At this rate, if there aren 10 households in the village, how long (in months) willp2000litres of water last?
Water required is 200*10=2000 (m*n)
Water available is 2000 (p)
It will last 1 months (p/m*n)
Answer (A)
Question: A train is 360 meter long is running at a speed of 50 km/hour. In what time will it pass a bridge of 140 meter length?
A.87
B.69
C.36
D.72
Answer: C.36
Explanation: Speed = 50 Km/hr = 50*(5/18) m/sec = 125/9 m/sec
Total distance = 360+140 = 500 meter
Time = Distance/speed
= 500 * (9/125) =36 seconds
Answer: C
Question: The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number?
A.240
B.270
C.295
D.360
Answer: B.270
Explanation: x-y=1365
divide larger number by the smaller, we get 6 as quotient and the 15 as remainder
x/y=6 quotient and 15 reminder convert this as
x=6y+15
apply this x in above eqn
therefore,
6y+15-y=1365
5y+15=1365
y+3=273
y=270
ANSWER:B
Question: Miguel is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be olive oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Miguel accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be olive oil?
A.15/29
B.5/8
C.5/16
D.1/2
Answer: A.15/29
Explanation: Olive Oil = 240*5/8 = 150
Vinegar = 240*1/4 = 60
Remainder (240-210) equally divided in three parts
Salt = 10
Pepper = 10
Sugar = 10
The question then says Miquel doubles the vinegar and forgets sugar. Therefore, we will bad salad will have
150 + 120 (for 60*2) + 10+10 = 290
Ratio of Olive Oil/ New salad = 150/290 ie 15/29.
ANSWER:A
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 25%, then the cost price of the article is:
A.500
B.277
C.222
D.448
Answer: D.448
Explanation: Explanation:
110% of S.P. = 616
S.P. = (616 * 100)/110 = Rs. 560
C.P = (100 * 560)/125 = Rs. 448
Answer:D
Question: The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
A.5/4
B.6/8
C.6/7
D.3/11
Answer: D.3/11
Explanation: Explanation:
The denominator be P, the numerator will be (P - 8).
The fraction will be (P - 8)/P.
Adding 3 to the numerator and subtracting 3 from the denominator, (P - 8 + 3)/(P - 3) = 3/4.
(P - 5)/(P - 3) = 3/4
P = 20 - 9 => P = 11.
The fraction is: 3/11.
Answer D
Question: In a race of 200 m, A can beat B by 32 m and C by 24 m. In a race of 440 m, C will beat B by ?
A.22 m
B.75 m
C.85 m
D.20 m
Answer: D.20 m
Explanation: Explanation:
A:B = 200 : 168 = 100:84
A:C = 200 : 176 = 100:88
=> B:C = 84:88
When C covers 176 m , B Covers 168 m
When C covers 440 m , B Covers
=> 420 m
So C beats B by (440 - 420) = 20 m.
Answer: D
Question: If 6 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
A.1 day
B.2.1 days
C.3 days
D.4.5 days
Answer: D.4.5 days
Explanation: The length of cloth painted by one man in one day = 48 / 6 × 2 = 4 m
No. of days required to paint 36 m cloth by 6 men = 36/ 4 × 2 = 4.5 day.
D
Question: Two stations A and B are 110 km apart on a straight line. One train starts from A at 3 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A.15 a.m
B.10 a.m
C.12 a.m
D.6 a.m
Answer: D.6 a.m
Explanation: Suppose they meet x hours after 3 a.m.
Distance covered by A in x hours = 20x km.
Distance covered by B in (x - 1) hours = 25(x - 1) km.
Therefore 20x + 25(x - 1) = 110
45x = 135
x = 3.
So, they meet at 6 a.m.
Answer:D
Question: The compound ratio of 5:6, 3:2 and 4:5?
A.1:5
B.1:8
C.1:2
D.1:1
Answer: D.1:1
Explanation: 5/6 * 3/2 * 4/5
= 1/1
1:1
Answer:D
Question: One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?
A.Rs 12.47
B.Rs 10.80
C.Rs 10.80
D.Rs 47.66
Answer: B.Rs 10.80
Explanation: Explanation :
Let the rate of second quality be Rs x per Kg.
C.P of 1Kg wheat of 1st kind = Rs 9.30
C.P of 1 Kg wheat of 2nd kind = Rs. x.
Mean price = Rs 10.
The given ratio is 8 : 7.
Rs 9.30 Rs x
\ /
(Mean Price)
Rs 10
/ \
x-10 : 0.7
8 : 7
Then, the ratio is :-
=>(x-10) : 0.7 = 8 : 7.
=>7x -70=5.6.
=>x=75.6/7.
Hence, the required amount is 10.80 per Kg.
Answer : B
Question: A line that passes through (–1, –4) and (2, k) has a slope = k. What is the value of k?
A. 3/4
B. 1
C. 4/3
D. 2
Answer: D. 2
Explanation: Slope = (y2-y1)/(x2-x1)
=> k = (k+4)/(2+1)
=> 3k = k+4
=> k =2
Ans D it is!
Question: How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.30
B.88
C.66
D.44
Answer: A.30
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 500 * 3/50 = 30 sec.
Answer: A
Question: A clothing store prices jeans at 20% above the wholesale price of $40 and shorts at 10% above the wholesale price of $25. An employee uses their employee discount of 10% to buy 2 pairs of shorts and 1 pair of jeans. How much does that employee pay?
A.$92.70
B.$111.15
C.$95.70
D.$97.25
Answer: A.$92.70
Explanation: Wholesale cost of jeans = $40
Wholesale cost of shorts = $25
Jeans were priced at 20% above $40 = $48
Shorts were priced at 10% above $25 = $27.50
% discount given by employee discount = 10%
Employee paid = (27.5 + 27.5 + 48) * .9 = $92.70
Answer A
Question: Insert the missing number. 34, 7, 37, 14, 40, 28, 43, (...)
A.52
B.56
C.54
D.50
Answer: B.56
Explanation: We have two series here
34, 37, 40, 43, ... (Increase by 3)
7, 14, 28, ... (Multiply by 2)
Hence, next term is 28 × 2 = 56
Answer is B.
Question: A rectangle having length 105 cm and width 40 cm. If the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.
A.25%
B.19.23%
C.40%
D.75%
Answer: B.19.23%
Explanation: Explanation :
Solution: (25/(105+25) * 100)% = 19.23%
Answer : B
Question: If 6th March, 2001 is Sunday, what was the day of the week on 6th March, 2000?
A.Sunday
B.Saturday
C.Tuesday
D.Wednesday
Answer: B.Saturday
Explanation: Solution
The year 2000 is a leap year. So, it has 2 odd days.
But, Feb 2000 not included because we are calculating from March 2000 to March 2001. So it has 1 odd day only.
The day on 6th March, 2001 will be 1 day beyond the day on 6th March, 2000. Given that, 6th March, 2001 is Sunday.
6th March, 2000 is Saturday (1 day before to 6th March, 2001)
Answer B
Question: A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description of the exercise. Which one is that ?
A.14, 22
B.13, 62
C.19, 33
D.42, 28
Answer: B.13, 62
Explanation: Explanation :
This can best be done by reverse substitution.
We need not verify the entire answer but only that last digits.
For example, the last digits obtained by multiplying the the units place digits should be the same as that obtained by multiplying the tens place digit.
Hence we find that only option (2) is the valid answer.
Answer : B
Question: Find k if 64 / k = 8.
A.6
B.7
C.8
D.4
Answer: C.8
Explanation: Since 64 /k = 8 and 64/ 8 = 8, then
k = 8 correct answer C
Question: A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 6 is
A.3
B.7
C.21
D.189
Answer: D.189
Explanation: In that case, the Sophie prime numbers greater than 6 are 7,11,23,47,59, .. which yields units digit as 1,3,7 and 9
Product would be 1 x 3 x 7x9 =189 Answer should be D
Question: xy+yz=63
xz+yz=23
find x+y+z ?
A.23
B.24
C.25
D.26
Answer: B.24
Explanation: take z as common term in second equation
ie z(x+y)=23
now as 23 is prime no therefore its factors must be 1 and 23.
now as x,y,z is integer no therefore z= 1 as sum of two integer cannot be equal to 1.
=> z= 1 and x + y = 23
therefore x+y+z = 1 + 23 = 24.
ANSWER:B
Question: A train moves fast a telegraph post and a bridge 240 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.75
B.39
C.79
D.72
Answer: D.72
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 240)/20 = y
y = 20
Speed = 20 m/sec = 20 * 18/5 = 72 km/hr.
Answer:D
Question: Two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
A.22
B.12
C.77
D.10
Answer: D.10
Explanation: Speed of the first train = 120/8 = 15 m/sec.
Speed of the second train = 120/15 = 8 m/sec.
Relative speed = 15 + 8 = 23 m/sec.
Required time = (120 + 120)/23 = 10 sec.
Answer: D
Question: A courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. The total number of bricks required is?
A.22877
B.27778
C.20000
D.22500
Answer: D.22500
Explanation: Number of bricks =Courtyard area/1 brick area
=(2500×1800/20×10)=22500
Answer: D
Question: Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.8 min
B.5 min
C.10 min
D.14 min
Answer: C.10 min
Explanation: Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = (9/54 x 60) min = 10 min.
Answer : C.
Question: A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6000?
A.Rs. 5870
B.Rs. 5991
C.Rs. 6020
D.Rs. 6850
Answer: A.Rs. 5870
Explanation: Explanation:
Total sale for 5 months = Rs. (5420 + 5660 + 6200 + 6350 + 6500) = Rs. 30,130
Therefore, required sale = Rs. [(6000 * 6) – 30,130] = Rs. (36000 – 30,130) = Rs. 5870
ANSWER A
Question: 4,18,100,294,___
A.1000
B.1100
C.1210
D.1452
Answer: C.1210
Explanation: 2^3-2^2=4 ;
3^3-3^2=18;
5^3-5^2=100;
7^3-7^2=294;
so, 11^3-11^2= 1210
ANSWER:C
Question: The sum of the numbers is 220. If the first number be twice the second and third number be one-third of the first, then the second number is:
A.48
B.54
C.72
D.60
Answer: D.60
Explanation: Let the second number be x. Then, first number = 2x and third number = 2x/3.
2x + x + 2x/3 = 220
11x/3 = 220
x = 60
ANSWER:D
Question: A and B started a business investing Rs. 80,000 and Rs 20,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
A.4:1
B.3:2
C.18:20
D.18:4
Answer: A.4:1
Explanation: A: B = 80000 : 20000
= 8 : 2
= 4 : 1
ANSWER:A
Question: 60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $300 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
A.12
B.18
C.32
D.40
Answer: C.32
Explanation: let's take numbers here.
Assume that the total number of movie theaters in the town = 100
Then number of movie theaters with 3 screens or less = 60
=> Number of movie theaters with 4 screens or more = 40
Movie theaters with 3 screens or less selling popcorn at more than $300 = 20% of 60 = 12
Number of movie theaters selling popcorn at $300 or less = 56
=> Number of movie theaters selling popcorn at more than $300 = 100-56 = 44
Of these 44 theaters, 12 are those with 3 screens or less
Therefore 32 (44-12) must be those with four screens or more
C is the answer
Question: When n is divided by 24, the remainder is 4. What is the remainder when 4n is divided by 8?
A.3
B.4
C.5
D.0
Answer: D.0
Explanation: Let n=4 (leaves a remainder of 4 when divided by 24)
4n = 4(4) =16, which leaves a remainder of 0 when divided by 8.
Answer D
Question: 14, 28, 20, 40, 32, 64, ...?
A.10
B.25
C.56
D.21
Answer: C.56
Explanation: First, multiply by 2 and then subtract 8.
14
14*2=28
28-8=20
20*2=40
40-8=32
32*2=64
64-8=56
ANSWER:C
Question: A number 15B is divisible by 6. Which of these will be true about the positive integer B?
A.B will be even
B.B will be Odd
C.B will be divisible by 6
D.Both a & b
Answer: A.B will be even
Explanation: 15B is divisible by 6
=> 3*5*B is divisible by 3*2
=> 5*B is divisible by 2
=> B has to be even.
Ans A
Question: A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A.1.09
B.1.6
C.1.2
D.1.5
Answer: D.1.5
Explanation: M = 4.5
S = x
DS = 4.5 + x
US = 4.5 + x
4.5 + x = (4.5 - x)2
4.5 + x = 9 -2x
3x = 4.5
x = 1.5
Answer: D
Question: If 4 Men or 6 Women take 4 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work?
Can anyone explain please?
A.1. 3/2 days
B.2. 4/9 Days
C.3. 9/4 days
D.4.5/2 days
Answer: B.2. 4/9 Days
Explanation: 4 men or 6 women takes 4 days to complete the work
So 4M = 6W
W = 2/3M
1 man in 1 day does 1 unit of work
so 4 M in 4 M = 16 units of work
now 8 M and 4 W = 8 M + 4(2/3)M
= 8M + 8M/3
= 36M
Since both set do the same work
36M in n Days = 16 units of work
n = 16/36 = 4/9 days.
B
Question: Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.
A.Rs.2522
B.Rs.2512
C.Rs.2572
D.Rs.2592
Answer: A.Rs.2522
Explanation: Solution
Principal	= Rs.16,000;
Time=9 months	= 3 quarters;
Amount
=Rs.[16000x(1+5/100)³]
=[16000x21/20x21/20x21/20]
= Rs.18522.
C.I	= Rs.(18522 - 16000)
= Rs.2522.
Answer A
Question: A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
A.1
B.8
C.9
D.7
Answer: A.1
Explanation: DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
Answer: A
Question: Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents X watch all of the shows?
A. 150
B. 108
C. 42
D. 21
Answer: D. 21
Explanation: OA is D.
100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula
100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC.
The term between parantheses value 18% so the equation to resolve is
100=35+40+50-18-2ABC
therefore the value of ABC is 3.5% of 600, X is 21. D is the correct answer
Question: At a meeting of the 6 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 6 Chiefs of Staff be seated around a circular table?
A.120
B.480
C.4040
D.2520
Answer: C.4040
Explanation: Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (4040), should be the number of ways to arrange all 6 without the seating restriction given. Is this incorrect?C
Question: X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 43 Km/hr. However, he covers the distance from Y to X at an average speed of 35 Km/hr. His average speed during the whole journey in km/hr. is :
A.34
B.43
C.40
D.38.6
Answer: D.38.6
Explanation: Solution: Average speed = 2XY / X+Y
= 2*43*35 / 43+35
= 38.6
Answer : D
Question: A department store receives a shipment of 1,000 shirts, for which it pays Rs. 9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts during the first month and 50 percent of the remaining shirts afterwards. How much gross income did sales of the shirts generate?
A.10500
B.11500
C.12500
D.13500
Answer: D.13500
Explanation: actual price of one shirt=9 rupees
price of one shirt for first month=16.2 rupees
total number of shirts sold that month=750
total income from 1st month=Rs.12150
price of one shirt after 1st month=10.8rupees
total number of shirts sold this time=125
total income after 1st month=1350 rupees
so GROSS INCOME=12150+1350=Rs.13500
ANSWER:D
Question: A team of five basketball players has an average height of 280 cm. two players whose average height is 190 cm, left the team and two new others whose average height is 204 cm, joined. Calculate the new average height of the players(in cm) is?
A.317.6 cm
B.417.6 cm
C.214.6 cm
D.217.6 cm
Answer: D.217.6 cm
Explanation: Total height = 280 * 5 = 1400 cm.
Total height of those who left = 190 * 2 = 380
Total height of those who joined = 204 * 2 = 408
New average
= [1400 - 720 + 408 ] / 5 = 1088/5 cm.
= 217.6 cm
Answer:D
Question: Local kennel has cats and dogs in the ratio of 6:12. If there are 24 fewer cats than dogs, how many dogs are in the kennel?
A.50
B.48
C.52
D.54
Answer: B.48
Explanation: Lets work with the data given to us. We know that there ratio of cats to dogs is 6:12 or
cats 6
dogs 12
we can write number of cats as 6x and number of dogs as 12x and we know that 12x-6x= 24(therefore 6x = 24 => x=4)
Then # of dogs = 12x4= 48
Answer is B
Question: Of the 800 employees of Company X, 70 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 50 percent ?
A.200
B.320
C.112
D.80
Answer: B.320
Explanation: Original (Long-Term is 70%)
Total = 800
Long-Term = .7(800) = 560
New (Long-Term is 50%)
New Total = 800 - y
New Long-Term = 560 - y
560 - y = .5 (800 - y)
y = 320
Answer: B
Question: Find a sum for first 9 prime number'ss?
A.125
B.128
C.130
D.100
Answer: D.100
Explanation: Required sum = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 ) = 100
Note: 1 is not a prime number
Option D
Question: By selling a 50meters cloth one gain the selling price of 20meters. Find the gain percent?
A.50%
B.100%
C.75%
D.25%
Answer: B.100%
Explanation: Let the cost of 1meter cloth be x
Gain = 50x-20x = 30x
gain % = 30x/30x*100 = 100%
Answer is B
Question: Patrick purchased 70 pencils and sold them at a loss equal to the selling price of 20 pencils. The cost of 70 pencils is how many times the selling price of 70 pencils?
A. 0.75
B. 0.8
C. 1
D. 1.28
Answer: D. 1.28
Explanation: Say the cost price of 70 pencils was $70 ($1 per pencil) and the selling price of 1 pencil was p.
Selling at a loss: 70 - 70p = 20p --> p = 7/9.
(cost price)/(selling price) = 1/(7/9) = 9/7 = 1.28.
Answer: D.
Question: The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?
A.3x
B.4x
C.6x
D.12x
Answer: C.6x
Explanation: Original perimeter = x
Hence original side = x/4
New side = 6x/4
New perimeter = 4*6x/4 = 6x
Correct Option: C
Question: In a river flowing at 2 km/hr, a boat travels 64 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
A.10 hours
B.12 hours
C.14 hours
D.24 hours
Answer: D.24 hours
Explanation: Explanation :
speed of the boat = 6 km/hr
Speed downstream = (6+2) = 8 km/hr
Speed upstream = (6-2) = 4 km/hr
Distance travelled downstream = Distance travelled upstream = 64 km
Total time taken = Time taken downstream + Time taken upstream
= (64/8) + (64/4) = = 24 hr. Answer : Option D