RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A man buys an article for rs.27.50 and sells it for rs.28.50. find his gain %.
A.4%
B.5%
C.3.5%
D.5.5%
Answer: A.4%
Explanation: sol. cp=rs27.50, sp=rs 28.50
gain=rs(28.50 –27.50)=rs1.10
so gain%={(1.10/27.50)*100}=4%
Answer is A.
Question: 1/2+[(2/3*3/8)+4]-7/16=
A.29/16
B.19/16
C.69/16
D.9/13
Answer: C.69/16
Explanation: 1/2+[(2/3*3/8)+4]-7/16=
1/2+[(1/4)+4]-7/16=
1/2+[17/4]-7/16=
8/16 + 68/16 - 7/16 = 69/16
C
Question: In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 32. In the company, what is the maximum number of non-managers in a department that has 9 managers?
A.39
B.40
C.41
D.42
Answer: C.41
Explanation: 9/7 * 32 = 41.1
The answer is C.
Question: Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
A.Rs. 1(2/9)
B.Rs. 2(2/9)
C.Rs. 2(1/9)
D.Rs. 3(2/7)
Answer: B.Rs. 2(2/9)
Explanation: Here r = 10 % ,x = 100 and A = 5 kg
Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9)
B
Question: A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
A.100
B.277
C.2987
D.278
Answer: A.100
Explanation: Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m.
Answer: A
Question: Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
A.2500 m^2
B.2510 m^2
C.2520 metre sq
D.2540 m^2
Answer: C.2520 metre sq
Explanation: Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) m2 = 2520 m^2
C
Question: A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 8, the forth is divisible by 3 and the fifth digit is 3 times the sixth. How many different credit card numbers exist?
A.27
B.9
C.72
D.112
Answer: B.9
Explanation: {1}{2}{greater than 6}{divisible by 3}{3x}{x}:
The third digit can take 1 values: 9.
The fourth digit can take 3 values: 3, 6, or 9.
The fifth and sixth digits can take 3 values: 31, 62, or 93.
Total = 1*3*3 = .
Answer: B.
Question: Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?
A.Zero
B.One
C.Two
D.Three
Answer: D.Three
Explanation: There could be 3 medians of this set.
8 , when x <8
x , when 8<=x<=12
and
12, when x>12
There could be 1 mean = (40+x)/5
Now, we can solve (40+x)/5 = 8 , x, 12 to find out values.. and if valid values are found that solution counts.
We get x= 0 ,10, 20. Hence 3 solutions.
Ans D
Question: An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2?
A.A)1500
B.B)10000
C.C)2500
D.D)3000
Answer: B.B)10000
Explanation: Let the number of meters to be examined be x
Then, 0.02% of x = 2
(2/100)*((1/100)*x = 2
x = 10000
Answer is B
Question: A train , having a length of 330 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that of the train
A.10 sec
B.18 sec
C.6 sec
D.4 sec
Answer: B.18 sec
Explanation: Explanation:
Distance = 330 m
Relative speed = 60+6 = 66 kmph (Since both the train and the man are in moving in opposite direction)
= 66×10/36 mps = 110/6 mps
Time = distance/speed =330/(110/6) = 18 s
Answer: Option B
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 40?
A.7
B.21
C.34
D.47
Answer: C.34
Explanation: Số thẻ number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added =40 - 6 = 34
Correct Option : C
Question: Mariah has decided to hire three workers. To determine whom she will hire, she has selected a group of 20 candidates. She plans to have one working interview with 3 of the 20 candidates every day to see how well they work together. How many days will it take her to have working interviews with all the different combinations of job candidates?
A.520
B.120
C.300
D.30
Answer: A.520
Explanation: 520.
Answer A
Question: The tax on a commodity is diminished by 20% and its consumption increased by 25%. The effect on revenue is?
A.2% decrease
B.8% decrease
C.9% decrease
D.0% No change
Answer: D.0% No change
Explanation: 100 * 100 = 10000
80 * 125 = 10000
-----------
10000-----------0
100-----------? => 0% No change
Answer: D
Question: A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A.78.2 km/hr
B.89.2 km/hr
C.73.2 km/hr
D.79.2 km/hr
Answer: D.79.2 km/hr
Explanation: Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
Answer: D
Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?
A.20
B.22
C.24
D.1
Answer: D.1
Explanation: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1.
Answer: D.
Question: A salesman commission is 5% on all sales upto $10000 and 4% on all sales exceeding this. He remits $31100 to his parent company after deducting his commission. Find the total sales?
A.$30000
B.$32500
C.$35120
D.$41520
Answer: B.$32500
Explanation: Let his total sales be x
Total sales - commission = $31100
x - [(5% of 10000)+4% of (x-10000)] = 31100
x-500-(x-10000)/25 = 31100
x = 32500
Answer is B
Question: Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 170 cookies, what percent of the cookies did Nell bake?
A.0.125%
B.1.25%
C.11.7%
D.125%
Answer: C.11.7%
Explanation: 9.18x+5.17x+2.05x = 16.4x = 170 cookies
x= 170/16.4 = 10 (approx)
So, Nell baked 10*2.05 cookies or 20 cookies (approx)
% share = 20/170 = 11.7 approx
Hence, answer is C.
Question: Shreyas bought an article and sold it for 112% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42750/-?
A.Rs.24600
B.Rs.38169
C.Rs.38989
D.Rs.23200
Answer: B.Rs.38169
Explanation: Explanation:
112% of CP = Rs.42750
:. CP = Rs.42750x100/112 = Rs.38169.
Answer: Option B
Question: If x and y are perfect squares, then which one of the following is not necessarily a perfect square?
A.x^2
B.xy
C.4x
D.x+y
Answer: D.x+y
Explanation: If x=y=1^2=1, then each option but D is a perfect square, therefore D is NOT necessarily a perfect square.
Answer: D.
Question: A certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A.42
B.70
C.140
D.180
Answer: D.180
Explanation: 1 of 7 will be chosen for the math
2 of 10 will be chosen for the computer
None of the 3 chosen people can be in more thn one deparments.
We can choose any of the 4 candidates for the math dep., which gives as 4 selections.
We can choose 2 of the 10 candidates for the computer dep., which gives us 2 selections and 8 rejections.
So, the way to find how many different selections of 2 candidates we can have for the computer dep., we do:
10! /2!*8!= (9*10) / 2 = 90 / 2 = 45.
We are multiplying our individual selections: 4*45 = 180
In the bolded part, we don't have to multiply all of the numbers, as those in 8! are included in 10!, so we simplify instead.
Ans D
Question: A family consists of six members P, Q, R, S, T and U. There are two married couples. Q is a doctor and the father of T. U is grandfather of R and is a contractor. S is grandmother of T and is a housewife. There is one doctor, one contractor, one nurse, one housewife and two students in the family. Which of the following is definitely a group of male members ?
A.QU
B.UU
C.QI
D.QH
Answer: A.QU
Explanation: Explanation:
Q, the Doctor, is the father of T. S, the Housewife, is the grandmother of T and hence the mother of Q. Since there are only two married couples one being that of Q, the grandfather of R. i.e, U must be married to S. Thus, R and T will be both children of Q and these must be the students So, P, who remains, shall be the wife of Q and she alone can be the nurse. Thus, U must be the contractor
Clearly, for definite the males are Q, the father and U, the grandfather
Answer: A) QU
Question: The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
A.16/35
B.16/37
C.16/39
D.16/33
Answer: A.16/35
Explanation: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 1/5 * 4/7 + 4/5 * 3/7
= 16/35
Answer:A
Question: A sum of money place at compound interest doubles itself in 3 years. In how many years will it amount to eight times itself?
A.7
B.8
C.9
D.10
Answer: C.9
Explanation: 100 ---- 200 ---- 3
400 ---- 3
800 ---- 3
------
9 years
Answer: C
Question: The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side?
A.Rs. 692
B.Rs. 768
C.Rs. 876
D.Rs. 972
Answer: C.Rs. 876
Explanation: Solution
Surface area of the cube	= (6 ×82)sq.ft
= 384 sq.ft.
Quantity of paint required	= (384 / 16)kg
‹=›24 kg.
Cost of painting	= Rs.(36.50 ×24)
= Rs. 876.
Answer C
Question: CP of one kg apple is Rs.9 and thereby loses 20%. At what price per kg, we should have sold them to make a profit of 5%?
A.10
B.11.81
C.11.92
D.12.4
Answer: B.11.81
Explanation: SP=9Loss=20%CP=100(100−Loss%)×SP=100(100−20)×9=10080×9=54×9to make a profit of 5%,SP=100+Gain%100×CP=(100+5)100×CP=105100×54×9=105100×54×9=2120×54×9=214×14×9=18916=11.81
B
Question: 517 + 5.017 + 0.517 + 5.0017 = ?
A.558.3657
B.527.5357
C.229.6357
D.629.5637
Answer: B.527.5357
Explanation: 517
5.017
0.517
+ 5.0017
--------
527.5357
---------
Answer is B.
Question: A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?
A.30 min
B.23 min
C.25 min
D.28 min
Answer: A.30 min
Explanation: (A+B) in 1 min = 1/60 + 1/40 = 1/24
x min then x/2(1/24+1/40) = 1
(x/2) x (1/15) = 1 ==> x = 30 min
ANSWER A
Question: If the average of 9 digits is 18 and the average of 4 of them is 8, calculate the average of the remaining 5 numbers?
A.21
B.26
C.27
D.22
Answer: B.26
Explanation: Explanation:
Total of the 9 digits - 9*18 = 162
Total of the 4 digits - 4*8 = 32
Total of the remaining 5 digits - 162-32 = 130
average of the remaining 3 numbers = 130/5 = 26
ANSWER: B
Question: 4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 6 weavers in 6 days?
A.6
B.9
C.12
D.15
Answer: B.9
Explanation: 1 weaver can weave 1 mat in 4 days.
6 weavers can weave 6 mats in 4 days.
6 weavers can weave 9 mats in 6 days.
The answer is B.
Question: If y is 40 percent greater than x, then x is what percent less than y?
A.18%
B.21%
C.25%
D.29%
Answer: D.29%
Explanation: y = 1.4x
x = y/1.4 = 10y/14 = y - (2/7)*y
2/7 is about 29%.
The answer is D.
Question: Siddharth wants to borrow Rs.8000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
A.s.28.80
B.s.21.68
C.s.21.18
D.s.21.98
Answer: A.s.28.80
Explanation: Amount of money Siddharth borrowed at S.I at 6% p.a. for two years = Rs.8,000
He lend the same amount for C.I at 6% p.a. for two years.
=> Siddharth's income = C.I - S.I
= p[1 + r/ 100]n - p - pnr/100
= p{ [1 + r/ 100]2 - 1 - nr/100
= 8,000{ [1 + 6/100]2 - 1 - 12/100}
= 8,000 {(1.06)2- 1 - 0.12} = 8,000(1.1236 - 1 - 0.12)
= 8,000 (0.0036) = 8 * 3.6
= Rs.28.80
Answer: A
Question: In a sample of college students, 50 percent are third year students and 70 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
A.2/3
B.1/4
C.2/5
D.3/7
Answer: A.2/3
Explanation: required answer= 40/60. = 2/3
Answer is A
Question: A firm has 5 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (Note that two groups are considered different if at least one group member is different.)
A.130
B.135
C.140
D.145
Answer: D.145
Explanation: The number of ways to form a group of 3 is 11C3 = 165
The number of groups with no senior partner is 6C3 = 20
The number of groups with at least one senior partner is 165-20 = 145
The answer is D.
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A.20%
B.33.0%
C.22%
D.77%
Answer: A.20%
Explanation: Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer: Option A
Question: The price of a car is Rs. 3,25,000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
A.Rs.32.500
B.Rs.48,750
C.Rs.76,375
D.Rs.81,250
Answer: C.Rs.76,375
Explanation: Solution
Amount paid to car owner	= 90% of 85% of Rs. 3,25,000.
= Rs. (90/100 ×85/100 ×325000)
= Rs. 2,48,625.
Required differene	= Rs. (325000 - 248625)
= Rs. 76,375.
Answer C
Question: 90, 180, 12, 50, 100, 160, ?, 3, 40, 4, 25, 2, 6, 30, 3
A.100
B.150
C.180
D.120
Answer: D.120
Explanation: 30*3=90
6*30=180
6*2=12
25*2=50
4*25=100
40*4=160
3*40=120 ans is 120
ANSWER:D
Question: Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
A.13
B.17
C.15
D.19
Answer: C.15
Explanation: Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/10
=> 1/x = 1/6 - 1/10 = (5 - 3)/30 = 2/30 = 1/15
=> x = 15.
Answer: C
Question: What is the place value of 7 in the numeral 2734?
A.70
B.7
C.700
D.7.0
Answer: C.700
Explanation: Explanation:
7 × 100 = 700
Answer: Option C
Question: WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 7/8 probability that task 1 will be completed on time, and a 1/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
A.1/20
B.3/40
C.13/40
D.7/10
Answer: D.7/10
Explanation: P(1 and not 2)=7/8*(1-1/5)=7/10.
Answer: D.
Question: When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 12-inch boxes. If the university pays $0.50 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
A.$155
B.$225
C.$510
D.$850
Answer: B.$225
Explanation: The volume of each box is 20*20*12 = 4800 cubic inches.
Number of boxes = 2,160,000/4800 = 450 boxes
Total cost = 450×$0.5=$225
The answer is B.
Question: Evaluate (12 + 22 + 32 + ... + 102)
A.430
B.720
C.385
D.265
Answer: C.385
Explanation: We know that (12 + 22 + 32 + ... + n2) =	1/6	n(n + 1)(2n + 1)
Putting n = 10, required sum =1/6 x 10 x 11 x 21 =385
Option C
Question: A train met with an accident 70km away from station A. It completed the remaining journey at 5/6th of the original speed and reached station B 1hr 12mins late. Had the accident taken place 60km further, it would have been only 1hr late. what was the original speed of the train?
A.60 km/hr
B.55 km/hr
C.65 km/hr
D.70 km/hr
Answer: D.70 km/hr
Explanation: let the original speed be 6x. A/q, traveling 70 km at 5/6th of original speed costs him 12 minutes etc
70/5x =70/6x +12/70 -> x =10 , 7x= 70.
Ans D
Question: If R, x, y, and z are positive integers and (x)×(y)×(z)=R^2, which of the following could be the values of x, y, and z?
A.3, 16, 25
B.9, 25, 24
C.2, 9, 32
D.2, 9, 16
Answer: C.2, 9, 32
Explanation: This is one of those questions where using the given options is fastest way to get the solution. We need to find a set where 3 numbers can be paired into 2 pairs of some numbers because we need a product which is a square number.
C fits the bill. 2*9*32 = 2*3*3*8*4 = 3*3*8*8
ans C
Question: The average of 5 quantities is 8. The average of 3 of them is 4. What is the average of remaining 2 numbers?
A.14
B.10
C.8
D.9.5
Answer: A.14
Explanation: ANSWER: A
(5x8-3x4)/2=14
Question: In the first 10 overs of a cricket game, the run rate was only 2.1. What should be the rate in the remaining 30 overs to reach the target of 282 runs?
A.6.25
B.8.28
C.6.11
D.8.7
Answer: D.8.7
Explanation: Required run rate
= [282 - (2.1 * 10)]/30
= 261/30
= 8.70
Answer:D
Question: The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
A.388
B.800
C.277
D.126
Answer: B.800
Explanation: Area of the square = s * s = 5(125 * 64)
=> s = 25 * 8 = 200 cm
Perimeter of the square = 4 * 200 = 800 cm.
Answer: B
Question: A is twice as good a work man as B and together they finish the work in 14 days. In how many days A alone can finish the work?
A.23
B.21
C.77
D.92
Answer: B.21
Explanation: WC = 2:1
2x + x = 1/14 => x = 1/42
2x = 1/21
A can do the work in 21 days.
Answer: B
Question: A bag contains 18 purple jellybeans, 12 green jellybeans, and 16 yellow jellybeans; these jellybeans are the only items in the bag. If a person picks a jellybean at random out of the bag, what is the probability that the jellybean will be green?
A.15%
B.20%
C.26%
D.30%
Answer: C.26%
Explanation: Probability of green beans = 12 / (18 + 12 + 16) = 12/46 = 26%
Answer is C
Question: 24 men can complete a work in 16 days.32 women can complete the same work in 24 days.16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
A.16
B.24
C.36
D.48
Answer: B.24
Explanation: Explanation:
1man’s 1 day work = 1/384
1 woman’s 1 day work = 1/768
work done in 12 days =12(16/384+16/768) =12*3/48 = 3/4
remaining work =1/4
(16 men + 16 women)’s 2 day work =2(16/384+16/768) = 1/8
remaining work = 1/4 - 1/8 =1/8
1/384 work is done in 1 day by 1man 1/8 work will be done in 2 days by 384 x 1/8 x 1/2 = 24 men
Answer: Option B
Question: Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
A.28
B.17
C.10
D.77
Answer: C.10
Explanation: Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
Answer:C
Question: Arun purchased 35 kg of rice at the rate of Rs 9.50 per kg and 30 kg at the rate of Rs 10.50 per kg. He mixed the two. Approximately, at what price per kg should he sell the mixture to make 35 % profit in the transaction?.
A.12 Rs
B.13 Rs
C.13.5 Rs
D.14 Rs
Answer: C.13.5 Rs
Explanation: Explanation :
Cost Price of 65 kg rice = Rs. (35 x 9.50 + 30 x 10.50)
= 647.50 Rs
Sell Price of 65 kg rice = 135 % of 647.50 = Rs (135/100) x 647.50
Sell Price per kg = (135/100) x 647.50 x (1/65) = 13.44=Rs. 13.50 (Appx.)
Answer : C
Question: In what time will a train 150 m long cross an electric pole, it its speed be 144 km/hr?
A.2.5 sec
B.3.75 sec
C.3.5 sec
D.7.5 sec
Answer: B.3.75 sec
Explanation: Speed = 144 * 5/18 = 40 m/sec
Time taken = 150/40
= 3.75 sec.
Answer: B
Question: How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
A.16.7
B.16.8
C.16.5
D.16.1
Answer: B.16.8
Explanation: D = 110 + 170 = 280 m
S = 60 * 5/18 = 50/3
T = 280 * 3/50 = 16.8 sec
Answer:B
Question: A women travels from X to Y distance of 1000 miles in 10 hours. she returns to X in 4 hours. Find her average speed
A.300mph
B.150.2mph
C.142.8mph
D.200mph
Answer: C.142.8mph
Explanation: Speed from X to Y = 1000/10 = 100 mph
Speed from Y to X = 1000/4 = 250 mph
Average speed = 2*100*250 / 350 = 142.8mph
Answer is C
Question: In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent H of her bushes have only yellow roses?
A.20
B.30
C.50
D.70
Answer: B.30
Explanation: let, the number of bushes with only yellow flowers be x
so, number of bushes with only yellow flowers will be 1.5x
if total number of bushes of flowers= T
then total number of bushes with yellow flowers= 0.8T
we can say that total number of bushes with yellow flowers+ bushes with only white flowers= total number of bushes with flowers
so,H= 0.8T+x=T
x=0.2T
so, 1.5x=0.3T
30% flowers are yellow flowers
OA B
Question: If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter
A.42 cm
B.64 cm
C.56 cm
D.52 cm
Answer: D.52 cm
Explanation: Explanation : Let the diagonals be PR and SQ such that PR = 24 cm and SQ = 10 cm PO = OR = 24/2=12 cm
SO = OQ = 10/2=5 cm
PQ = QR = RS = SP = √(122 + 52) = √(144+25) = √169 = √13 cm
perimeter = 4 × 13 = 52 cm Answer : Option D
Question: If a bike moving at the speed of x km/hr travels a distance of y km, which of the following cannot be equal to the distance traveled?
A.x-y km
B.x/2 km
C.y-x km
D.y/x km
Answer: C.y-x km
Explanation: This question can be solved by TESTing VALUES, but there's a particular pattern that you have to recognize to make the workeasy.
We're not really limited by anything in this question, so X and Y can be anything. Under normal circumstances, I won't TEST the number 1 in PS questions (as it often leads to duplicate answers), but here it's a great option (since we're looking to eliminate 4 answers, multiple TESTs are going to be likely anyway).
We're given information on speed (X km/hour) and distance (Y km). We're asked which of the 5 answer choices CANNOT be the distance traveled.
IF....
X = 2 and Y = 1
Answers A (2-1 = 1) and B (2/2 = 1) are POSSIBLE. Eliminate A and B.
IF....
X = 3 and Y = 1
Answer E ([3-1]/2 = 1) is POSSIBLE. Eliminate E.
IF....
X = 1 and Y = 1
Answer D (1/1 = 1) is POSSIBLE. Eliminate D.
Final Answer:
C
Question: A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
A.24 hours
B.28 hours
C.32 hours
D.36 hours
Answer: B.28 hours
Explanation: Explanation:
1/A + 1/B + 1/C = 1/8 (Given)
Also given that A = 2B and B = 2C
=> 1/2B + 1/B + 2/B = 1/8
=> (1 + 2 + 4)/2B = 1/8
=> 2B/7 = 8
=> B = 28 hours.
ANSWER IS B
Question: A survey was sent to 80 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
A.2%
B.5%
C.14%
D.28%
Answer: B.5%
Explanation: case 1: (7/80)=x/100
x=9%
case 2: (9/63)=y/100
y=14%
So percent increase is =(y-x)=(14-9)%=5%
Answer is B