RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: In how many ways can the letters C, A, A, R, W, A be arranged so that the three A's are not next to each other?
A.36
B.48
C.72
D.96
Answer: D.96
Explanation: 1 C
3 A
1 R
1 W
Number of ways these letters can be arranged = 6!/3! (3! to account 3 same As) = 120
Consider 3 As as 1 entity and thus the number of arrangements for (AAA)CRW = 4! = 24
Total allowed cases = 120-24 =96
D is the correct answer.
Question: Which of the following is NOT a prime number?
A.21
B.31
C.41
D.11
Answer: A.21
Explanation: Ans is A
A prime number has itself and 1 as the only factors. e.g. 2, 3, 7, 11, 19. Factors of 21 = {1 , 3 , 7 , 21} => 21 is not a prime number
Question: If 4 men working 10 hours a day earn Rs. 600 per week, then 9 men working 6 hours a day will earn how much per week?
A.Rs 840
B.Rs 320
C.Rs 810
D.Rs 680
Answer: C.Rs 810
Explanation: Explanation :
(Men 4:9) : (Hrs/Day 10:6) :: 600 : x
hence 4 * 10 *x = 9 * 6 * 600
or x = 9*6*600/ 4*10 = 810
Answer : C
Question: A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
A.18:11
B.18:18
C.18:10
D.18:12
Answer: A.18:11
Explanation: A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.
A : B
8000*18 : (8000*4) + (4000*14)
14400 : 88000
A:B = 18:11
Answer: A
Question: Two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m. Find the top distance of both ladders?
A.22
B.27
C.13
D.19
Answer: C.13
Explanation: So distance between the top points = AD = 122+52−−−−−−−√=13122+52=13
So in paper B he did well.
Answer:C
Question: judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 7th position from either end of the row.
Can you find out how many girls are practicing together?
A.4
B.9
C.13
D.16
Answer: C.13
Explanation: As judith is 7th from either end of the row, it means that 6 girls are on one of her sides and 6 are present on the other.
6 + 6 + 1(judith herself) = 13.
Hence, 13 girls are practicing the dance together.
correct answer is C)13
Question: If a shoppkepper has two type of rice. One at Rs 50/- and another at Rs 80/- . He mixed the rice at 2:1 ratio. Find the average price of the mixture.
A.75
B.65
C.60
D.50
Answer: C.60
Explanation: Ratio = 2x:x, Total quantity=50*2x+80*x=180x
Average price=180x/(2x+x)=60
ANSWER:C
Question: The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 480 m, its area is?
A.150
B.240
C.277
D.261
Answer: B.240
Explanation: 5x + 12x + 13x = 480 => x = 16
a = 80, b = 192, c = 208
S = (80 + 192 + 208)/2 = 240
Answer: B
Question: Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
A.20
B.25
C.30
D.35
Answer: A.20
Explanation: For these type of questions, use the formula 7x/4 =[sum of ages] where x is the age of elder.
2)7x/3 = [sum of ages] whr x is the age of younger. Here peter is elder is 7x/4=35. Solve you get x= 20
ANSWER:A
Question: If a number p is prime, and 2p+4 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
A.1
B.3
C.5
D.7
Answer: A.1
Explanation: 1/6 = 0.1666666... (a repeating pattern one digit long)
A
Question: The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?
A.4.5
B.4.6
C.4.7
D.4.8
Answer: B.4.6
Explanation: Sum of the remaining two numbers
= (3.95 × 6) – [(3.4 × 2) + (3.85 × 2)]
= 23.70 – (6.8 + 7.7)
= 23.70 – 14.5 = 9.20
∴ Required average = (9.2⁄2) = 4.6
Answer B
Question: If A got 60 marks and B got 30 marks, then what percent of A's mark is B's mark?
A.A)60%
B.B)80%
C.C)65%
D.D)50%
Answer: D.D)50%
Explanation: A's marks = 60 ; B's marks = 30.
Let x% of A = B => x/100 * 60 = 30
=> x = (30 * 100)/60 = 50
B's marks is 50% of A's marks.
ANSWER:D
Question: The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
A.1677
B.1683
C.2523
D.3363
Answer: B.1683
Explanation: L.C.M. of 5, 6, 7, 8 = 840. Required number is of the form 840k + 3 Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 x 2 + 3) = 1683. Answer : B
Question: How many 6 letter words ( with or without meaning) can be formed using all the following 5 letters U,P,Q,R,S,and T so that letter P is to the left of letter R?
A.160
B.400
C.300
D.360
Answer: D.360
Explanation: Two positions can be selected out of 5 positions in 6C2 ways = 15 ways.
And the remaining 4 letters can be placed in 4 posions in 4! Ways = 24 ways.
So the final Answer = number of ways letters P and R can be arranged x number
of ways the other 4 letters can be arranged
Final Answer = 24 x 15 = 360 ways
D
Question: A train after traveling 50 kms from A meets with an accident and proceeds at 4/5th of the former speed and reaches B, 45 min late. Had the accident happened 20 kms further on, it would have arrived 12 mins sooner. Find the original speed and the distance.
A.5 hrs 30 mins
B.5 hrs 33 mins
C.5 hrs 36 mins
D.4 hrs 33 mins
Answer: B.5 hrs 33 mins
Explanation: speed = 25 kmph and distance = 125 kms.
scheduled time = 5 hrs.
Time taken in first case = 50/25 + 75/20 = 2+3.75 hrs = 5.75 hrs = 5 hrs 45 min
in second case, time taken = 70/25 + 55/20 = 111/20 hrs = 5 hrs 33 mins
ANSWER:B
Question: How long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length?
A.28
B.16.0
C.16.4
D.16.8
Answer: A.28
Explanation: D = 110 + 170 = 280 m
S = 36 * 5/18 = 10
T = 280 * 1/10 = 28 sec
Answer: A
Question: Carmelo and LeBron participate in a nine-person footrace on the basketball court during All-Star Weekend. If all nine contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
A.504020
B.181440
C.720
D.120
Answer: B.181440
Explanation: 9! = 362880
362880/2=181440 half the time carmelo is in front, vice versa
Answer:
(B) 181440
Question: A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time E it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
A. 0.8(80 – y)
B. 0.8 + 0.0025y
C. 80/y – 1.25
D. 80/1.25y
Answer: B. 0.8 + 0.0025y
Explanation: This may be a case of bad numberpicking but it worked for me.
80 houses. Let's say that y=40 houses are painted at the rate x=10 houses per week <=> 1/10 week per house. 40*1/10 = 4 houses per week will be painted at this rate.
80-y = 80-40 = 40 houses are to be painted at the faster rate. X*1,25=12,5 houses per week <=> 1/12,5 weeks per house * 40 houses = 40/12,5 = 80/25 = 320/100 = 3,2 weeks.
Which means finishing all houses at normal rate E=> 2*4 = 8 weeks. Faster rate = 4+3,2 = 7,2 weeks.
7,2/8 = 9/10 = 0,9. Insert y=40 in equations and it is clear that only (B) gives us 0,9.
Question: A rectangular block 12cm by 36cm by 60cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
A.6
B.10
C.15
D.40
Answer: C.15
Explanation: Volume of the block = 12*36*60 = 25920 cm^3
Side of the largest cube = H.C.F of 12,36,60 = 12cm
Volume of the cube = 12*12*12= 1728 cm^3
Number of cubes = 25920/1728 = 15
Answer is C
Question: In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many R cents does a liter of kerosene cost? [One dollar has 100 cents.]
A. 0.33
B. 0.44
C. 0.55
D. 44
Answer: D. 44
Explanation: Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $
Just multiply by 100, Answer R= 44.D
Question: In year Y imported machine tools accounted for 70 percent of total machine-tools sales in the United States, and Japanese imports accounted for 50 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
A.3.86x
B.4.86x
C.5.86x
D.2.86x
Answer: D.2.86x
Explanation: Sales of imported tools = 70% of the total sales = 0.70*{total} = 7{total}/10;
Sales of Japanese tools = 50% of the sales of imported tools = 5/10*7{total}/10 = 35{total}/100
Since the sales of of Japanese tools was x, then 35{total}/100 = x -->35 {total} = 100x
{total} = 100/35 *x = 2.86 x
Answer: D
Question: The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
A.288
B.261
C.712
D.480
Answer: D.480
Explanation: Let the side of the square be a cm. Let the length and the breadth of the rectangle be l cm and b cm respectively.
4a = 2(l + b)
2a = l + b
l . b = 480
We cannot find ( l + b) only with the help of l . b. Therefore a cannot be found .
Area of the square cannot be found.
Answer: D
Question: A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
A.Rs.240
B.Rs.350
C.Rs.340
D.Rs.390
Answer: A.Rs.240
Explanation: (3*8 + 2*4):(4*8 + 5*4)
8:13
8/21 * 630 = 240
ANSWER:A
Question: For a right angle triangle the hypotenuse is 5 and base is 3. What is the area of the triangle?
A.6
B.7
C.8
D.9
Answer: A.6
Explanation: As we know that for a right angle triangle the are is 1/2 * base * height
We know the base = 3
We need to calculate the height
hypotenuse = h = 5
base = b = 3
height = c = ?
As per Pythagoras
h^2 = b^2 + c^2
5^2 = 3^2 + c^2
25 = 9 + c^2
C^2 = 25 - 9
c^2 = 16
c = 4
height = 4
area = 1/2 * base * height
= 1/2 * 3 * 4
= 6 square units
Ans: A
Question: A small college reduced its faculty by approximately 15 percent to 195 professors. What was the original number of faculty members?
A.182
B.208
C.224
D.229
Answer: D.229
Explanation: If x is the original number of faculty members, then after 15% reduction in faculty members number is .85x
but we are given .85x = 195
x = 229
So the original number of faculty members is 229
Correct Answer - D
Question: Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
A.27
B.276
C.500
D.267
Answer: C.500
Explanation: Let the C.P. be Rs. x. Then, 20% of x = 1100
20/100 * x = 1100 => x = 5500
C.P. = Rs. 5500, expenditure on repairs = 10%
Actual price = Rs. (100 * 5500)/110 = Rs. 5000
Expenditures on repairs = (5500 - 5000) = Rs. 500.
Answer: C
Question: A clock is started at noon. By 10 minutes past 4, the hour hand has turned through how many degrees?
A.125Â°
B.130Â°
C.135Â°
D.140Â°
Answer: A.125Â°
Explanation: The angle traced by the hour hand in 12 hrs is 360Â°
The angle traced by the hour hand in 1 hour is 30Â°
The angle traced by the hour hand in 10 minutes is 5Â°
The angle traced by the hour hand in 4 hours and 10 minutes is 4*30Â° + 5Â° = 125Â°
The answer is A.
Question: Before leaving for his business trip, Chad asks his assistant to choose and pack six shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?
A.1/7
B.2/11
C.3/14
D.9/28
Answer: C.3/14
Explanation: The total number of ways to choose 6 shirts from 8 is 8C6 = 28
The number of ways to choose a pink shirt plus 5 shirts from 6 is 6C5 = 6
P(a pink shirt but not a blue shirt) = 6/28 = 3/14
The answer is C.
Question: Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
A.1/20
B.3/20
C.5/20
D.7/20
Answer: A.1/20
Explanation: (2 − 1/3) (1 − 1/4)(1 − 1/5)..... (1 − 1/99)(1 − 1/100)
5/3 × 3/4 × 4/5 × ....... 98/99 × 99/100 = 5/100 = 1/20
Answer is A.
Question: At wipro gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
A. 20
B. 24
C. 36
D. 48
Answer: B. 24
Explanation: We are given that wipro gym class can be divided into 8 teams or 12 teams, with an equal number of players on each team. Translating this into two mathematical expressions we can say, where G is the total number of students in the gym class, that:
G/8 = integer and G/12 = integer
This means that G is a multiple of both 8 and 12.
We are asked to determine the lowest number of students in the class, or the lowest value for variable “G”. Because we know that G is a multiple of 8 and of 12, we need to find the least common multiple of 8 and 12. Although there are technical ways for determining the least common multiple, the easiest method is to analyze the multiples of 8 and 12 until we find one in common.
Starting with 8, we have: 8, 16, 24, 32
For 12, we have: 12, 24
For the multiples of 12, we stopped at 24, because we see that 24 is also a multiple of 8. Thus, 24 is the least common multiple of 8 and 12, and therefore we know that the lowest possible number of students in the gym class is 24.
Answer B.
Question: A grocer has a sale of Rs. 5435, Rs. 5927, Rs. 5855, Rs. 6230 and Rs. 5562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5500?
A.Rs. 1991
B.Rs. 2991
C.Rs. 3991
D.Rs. 4991
Answer: C.Rs. 3991
Explanation: Explanation:
Total sale for 5 months = Rs. (5435 + 5927 + 5855 + 6230 + 5562) = Rs. 29009.
Required sale = Rs. [ (5500 x 6) â€“ 29009 ]
= Rs. (33000 â€“ 29009)
= Rs. 3991.
Answer C
Question: If x lies in the range (-1,0) then which of the following statements must be true?
A.x^4 >x^3 > x^2 >x
B.x >x^2 > x^3 > a^4
C.x^4 >x^2 > x^3 >x
D.x^2 >x^4 > x^3 >x
Answer: D.x^2 >x^4 > x^3 >x
Explanation: consider any number from the given range (-1-0)..let x=-1/2
then x^2= 1/4
x^3=-1/8
x^4=1/16
so we have x^2>x^4>x^3>x
Ans D
Question: The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is?
A.44%
B.46%
C.50%
D.52%
Answer: A.44%
Explanation: Let original length = x metres and original breadth = y metres.
Original area = (xy) m2.
New length = 120	x	m	= 6	x	m.
100	5
New breadth = 120	y	m	= 6	y	m.
100	5
New Area = 6	x x	6	y	m2	= 36	xy	m2.
5	5	25
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25) or (11/25)xy
Increase % = 11	xy x	1	x 100	%	= 44%.
25	xy
A)
Question: Suppose son name is 120,his brother name is 150 and his mother name is 170.find out his father's name???
A.190
B.200
C.230
D.240
Answer: B.200
Explanation: since difference between all name is =30
so father's name will be 170+30=200.
ANSWER:B
Question: A grocer has 400 pounds of coffee in stock, 25 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
A.28%
B.30%
C.32%
D.34%
Answer: C.32%
Explanation: 1. 25% of 400=100 pounds of decaffeinated coffee
2. 60% of 100=60 pounds of decaffeinated coffee
3. Wt have 160 pounds of decaffeinated out of 500 pounds, that means 160/500*100%=32%. The correct answer is C.
Question: A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 40% lemonade syrup?
A.1.5
B.1.75
C.2.14
D.2.34
Answer: C.2.14
Explanation: Let the total solution is 150 L with 80 L water & 70 L syrup.
To make 40% syrup solution, the result solution must have 90 L syrup and 60 L syrup.
Therefore we are taking 10 L of syrup from initial solution and replacing with water.
using urinary method:
70 L syrup in 150 L solution
10 L syrup in 21.4 L solution
We started by multiplying 10
Now to get to the result we need to divide by 10 => amount of solution to be replaced with water = (21.4/10) = 2.14.
Correct option : C
Question: The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 800 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 3 liters, what is the weight (in kg) of the mixture?
A.3.84
B.1.75
C.3.52
D.2.46
Answer: D.2.46
Explanation: Here's how I did it. My notes from reading the problem were:
1L A = 800 gm
1L B = 850 gm
We are mixing five parts (3 parts A plus 2 parts B, 5 parts total) to get 3L, so 5x = 3 ---> x = 3/5. Each part is 3/5 of a liter.
So if we have 3 parts A, we have 800*3*(3/5) = 1440
If we have 2 parts B, we have 850*2*(3/5) = 1020
1440 + 1020 = 2460
Solving for units gives us 2.46
So the answer is D
Question: Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 and $2.20. How much money was left?
A.$5.85
B.$6.85
C.$ 3.85
D.$2.85
Answer: C.$ 3.85
Explanation: John spent and gave to his two friends a total of
1.25 + 1.20 + 2.20 = $4.65
Money left
8.50 -4.65 = $3.85
correct answer is C) $ 3.85
Question: A make a wall in 9 hour. B makes a wall in 10 hour. When doing together 10 more bricks are required and together make a wall in 5 hour. How many bricks r there in the wall?
A.180 bricks
B.190 bricks
C.170 bricks
D.160 bricks
Answer: B.190 bricks
Explanation: Time taken by Aand B together to complete same brick job = 1/(1/9 +1/10) = 90/19 hrs.
Actual time taken = 5 hrs
extra time taken for 10 bricks job = 5-90/19 = 5/19 hrs
so 5/19 hrs are reqd for 10 bricks
5 hrs are reqd for 190 bricks.
so initially 180 bricks were reqd.
Finally 190 bricks are used.
ANSWER:B
Question: The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
A.252 kms
B.152 kms
C.552 kms
D.752 kms
Answer: C.552 kms
Explanation: Explanation:
Total distance travelled in 12 hours =(35+37+39+.....upto 12 terms)
This is an A.P with first term, a=35, number of terms,
n= 12,d=2.
Required distance = 12/2[2 x 35+{12-1) x 2]
=6(70+23)
= 552 kms.
Answer: C
Question: The heights of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cu .m, its width is
A.4 m
B.4.5 m
C.5 m
D.6 m
Answer: A.4 m
Explanation: Solution
Let the width of the wall be x metres.
Then, Height = (6x)m and length= (42x)m.
42x × x ×6x	= 16128
x3‹=› (16128 / 42 × 6)= 64
‹=› x= 4.
Answer A
Question: A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 102. Find the divisor?
A.370
B.365
C.380
D.456
Answer: C.380
Explanation: Easy solution:
N= Dq1+241
2N = 2Dq1 + 482 - (1)
2N = Dq2 + 102 - (2)
As (1) = (2) = 2N
D*(q2-2q1) = 380
D * Some integer = 380
Checking all options only (C) syncs with it.
Answer C
Question: A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
A.150 m
B.145 m
C.100 m
D.135 m
Answer: C.100 m
Explanation: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 6 = 100 meter
ANSWER: C
Question: Bradley owns b video game cartridges. If Bradleyâ€™s total is two-thirds the total owned by Andrew and five times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
A.16/3)b
B.17/4)b
C.13/4)b
D.27/10)b
Answer: D.27/10)b
Explanation: Step 1: Categorize the problem
This problem is testing basic algebra and equations, with an extra layer of complexity by having variables in the answer choices.
Step 2: Think like the test maker
What is the key detail or key details in the problem? The key detail to immediately recognize is that the problem gives you Andrew and Charlieâ€™s totals in relation to Bradleyâ€™s total rather than giving you Bradleyâ€™s total in relation to the other two; and then the problem asks you to solve the problem in terms of b. This means that you have to relate Andrew and Charlieâ€™s values in relation to Bradleyâ€™s total. The test maker is attempting to force you to structure the problem in the opposite way that most people are used to structuring information. By gaining this insight, it makes it easier to solve the problem.
Step 3: Solve the problem
b = Bradleyâ€™s total
(3/2)b = Andrewâ€™s total
(1/5)b = Charlieâ€™s total
Add each total
b + (3/2)b+ (1/5)b = (10/10)b + (15/10)b + (2/10)b= (27/10)b
Therefore,choose D.
Question: At a certain conference, 52% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 30% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
A. 18.0%
B. 62.0%
C. 79.2%
D. 74.28%
Answer: D. 74.28%
Explanation: Refer to the table in the attachment:
Let x= No. of members who have paid in Full
30 % members paid in full and did not register in advance = 0.3x
52 % registerd in advance and paid in full.
So if total No. of members = 100, then 52 members paid Full and registered in advance.
Hence total members who paid full amount = 0.3x + 52 =x
0.7x =52
Hence x = 74.28
i.e. 74.28 out of 100 or 74.28 %
Ans. D
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 21 seconds. The ratio of their speeds is?
A.3/7
B.2/3
C.3/5
D.3/1
Answer: B.2/3
Explanation: Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 21
==> 27 x + 17 y = 21 x + 21 y ==> 6 x = 4 y ==> x/y
= 2/3.
Answer: B
Question: The average of eleven ten prime numbers which are odd is?
A.17.72
B.18.52
C.19.63
D.16.53
Answer: A.17.72
Explanation: Explanation:
Sum of first 11 prime no. which are odd = 195
Average = 195/11 = 17.72
Answer:A
Question: A certain school principal must choose 5 students to attend a field trip out of a group of 8 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the note-taker?
A.1,120
B.2,520
C.5,040
D.6,020
Answer: A.1,120
Explanation: 5 students can be selected out of 8 students in 8C5 ways.
out of the remaining 5 students,Note taker can be chosen in 5 ways.
Finally only 4 students remain from which we can choose a treasurer in 4 ways.
Total number of ways = 56* 5 *4 = 1120
correct answer - A
Question: What sum of money will produce Rs.210 as simple interest in 4 years at 3 1/2 percent?
A.Rs.2500
B.Rs.1500
C.Rs.1400
D.Rs.1600
Answer: B.Rs.1500
Explanation: 210 = (P*4*7/2)/100
P = 1500
Answer: B
Question: The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?
A.9
B.8
C.7
D.6
Answer: B.8
Explanation: Let the numbers be x, x + 2, x + 4, x + 6 and x + 8.
Then [x + (x + 2) + (x + 4) + (x + 6) + (x + 8) ] / 5 = 61.
or 5x + 20 = 305 or x = 57.
So, required difference = (57 + 8) - 57 = 8
Answer: B) 8
Question: A single discount equivalent to the discount series of 30%, 10% and 5% is?
A.40.15
B.31.7
C.31.6
D.31.5
Answer: A.40.15
Explanation: 100*(70/100)*(90/100)*(95/100) = 59.85
100 - 59.85 = 40.15
Answer:A
Question: A man can row upstream at 5kmph and downstream at 15kmph. Find man's rate in still water ?
A.5km/hr
B.15km/hr
C.10km/hr
D.20km/hr
Answer: C.10km/hr
Explanation: Rate in still water = 1/2 (5+15) = 10km/hr
Answer is C