RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Tough and Tricky questions: Word Problems.
It takes Sarah 14 minutes to do one oil change, and it takes Alice 10 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
A.10:00 a.m.
B.10:42 a.m.
C.12:00 a.m.
D.1:00 p.m.
Answer: B.10:42 a.m.
Explanation: LCM of 1014
10 = 2 * 5
14 = 2 * 7
LCM = 2 * 5 * 7 = 70 = 1 hour 10 minutes
1010AM
B
Question: John’s salary is reduced by 40% and then reduced salary is increased by 40%. Find ,how many percentage his present salary is less as compared to his previous salary?
A.12%
B.14%
C.16%
D.18%
Answer: C.16%
Explanation: 40*40
-------- = 16%
100
Answer: C
Question: What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
A.3: 2
B.3: 0
C.4: 1
D.3: 1
Answer: D.3: 1
Explanation: d = 3d d = d
a√2 = 3d a√2 = d
a = 3d/√2 a = d/√2 => 3: 1
Answer: D
Question: Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
A.67.0 km /hr
B.67.2 km /hr
C.69.0 km /hr
D.69.2 km /hr
Answer: B.67.2 km /hr
Explanation: let us assume A =x,B=y
distance between two stations a and b=2*x*y= 2xy
but,train cover a journey of
A=56 km/hr B=84 km/hr
Average speed =[2xy/x+y]km/hr
= 2*84*56/(84+56) km/hr
=[2*84*56/140] km/hr
= 67.2 km/hr
ANSWER:B
Question: What is the least possible product of 4 different integers, each of which has a value between –1 and 10, inclusive?
A.–5040
B.–3600
C.–720
D.–600
Answer: C.–720
Explanation: Maximize the total product with a -ve sign
so -1 * 10 * 9 * 8 = 720 * -1 = -720
Answer is C.
Question: The average weight of 16 kids in a class is 50.25 kg and that of the remaining 8 kids is 45.15 kg. Find the average weights of all the kids in the class.
A.A)48.55
B.B)49
C.C)51
D.D)61
Answer: A.A)48.55
Explanation: Required average
= (50.25 x 16 + 45.15 x 8)/(16 + 8)
= (804 + 361.20)/24
= 1165.20/24
= 48.55kg
Answer is A
Question: How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
A.134
B.12
C.11
D.14
Answer: A.134
Explanation: A
13
Required numbers are 24, 30, 36, 42, ..., 96
This is an A.P. in which a = 24, d = 6 and l = 96
Let the number of terms in it be n.
Then tn = 96a + (n - 1)d = 96
24 + (n - 1) x 6 = 96
(n - 1) x 6 = 72
(n - 1) = 12
n = 13
Required number of numbers = 13.
Question: Evaluate: 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025
A.6819.59775
B.6981.59775
C.7224.92775
D.6198.59775
Answer: C.7224.92775
Explanation: 6502.5
650.25
65.025
6.5025
+ 0.65025
---------------
7224.92775
Answer is C.
Question: A water tank is three-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
A.6 min.to empty
B.9 min.to empty
C.5 min.to empty
D.4 min.to empty
Answer: B.9 min.to empty
Explanation: Explanation:
Clearly,pipe B is faster than pipe A and so,the tank will be emptied.
part to be emptied = 3/5
part emptied by (A+B) in 1 minute=(1/6-1/10)=1/15
so, the tank will be emptied in 9 min
Answer: B
Question: Look at this series: 1,4,9,16,... What number should come next?
A.18
B.27
C.30
D.25
Answer: D.25
Explanation: Explanation: This is a series of perfect square numbers.
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25 and so on.
Answer: Option D
Question: 4 weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 10 weavers in 10 days?
A.10
B.15
C.20
D.25
Answer: D.25
Explanation: 1 weaver can weave 1 mat in 4 days.
10 weavers can weave 10 mats in 4 days.
10 weavers can weave 25 mats in 10 days.
The answer is D.
Question: A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 660 m?
A.120 sec
B.99 sec
C.89 sec
D.90 sec
Answer: D.90 sec
Explanation: Explanation:
v = 240/24 (where v is the speed of the train) = 10 m/s
t = (240+660)/10 = 90 seconds
Answer: Option D
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.320
B.160
C.112
D.80
Answer: A.320
Explanation: The # oflong-termemployees is 70%*800=560.
After y of them retire new # oflong-termemployees would become 560-y.
Total # of employees would become 800-y.
We want 560-y to be 50% of 800-y --> 560-y=(800 -y)*50% --> y = 320.
Answer: A.
Question: A man can row with a speed of 24 kmph in still water. If the stream flows at 6 kmph, then the speed in downstream is?
A.27
B.23
C.30
D.28
Answer: C.30
Explanation: M = 24
S = 6
DS = 24 + 6 = 30
Answer: 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. 2
B.Rs. 2(2/9)
C.Rs. 3(2/9)
D.Rs. 4
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 basket contains 5 blue, 5 red and 5 yellow marbles. If 5 marbles are extracted from the basket at random, what is the probability that a marble of each color is among the extracted?
A.2/21
B.3/25
C.25/91
D.9/28
Answer: C.25/91
Explanation: 15/15*10/14*5/13 = 50/182 = 25/91
the answer is (C)
Question: The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
A.80
B.82
C.85
D.87
Answer: C.85
Explanation: Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
ANSWER C
Question: Two sides of a certain triangle have lengths 3 and 4 respectively, which of the following could be the length of the third side of the triangle?
I. 0
II. 10
III. 2
A.I only
B.II only
C.III only
D.II and III only
Answer: C.III only
Explanation: Following the triangle inequality rule, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides:
Difference of other 2 sides < any side < sum of other two sides. Let the third side of triangle be AB.
So, 4 - 3 < AB < 4+3,
and 1 < AB < 7
Check if any of the answers are between 1 and 7.
I: 0 ; could not be a possible value.
II: 10 ; could not be a possible value.
III: 2; could be a possible value.
Answer :C
Question: If d is the standard deviation x, y, and z, what is the standard deviation of x + 10, y + 10, z + 10 ?
A.d
B.3d
C.15d
D.d + 5
Answer: A.d
Explanation: If we add or subtract a constant to each term in a set:
Mean will increase or decrease by the same constant.
SD will not change.
If we increase or decrease each term in a set by the same percent (multiply by a constant):
Mean will increase or decrease by the same percent.
SD will increase or decrease by the same percent.
So in our case SD won't change as we are adding 10 to each term in a set --> SD=d.
Answer: A.
Question: P and Q are the only two applicants qualified for a short-term research project that pays 540 dollars in total. Candidate P has more experience and, if hired, would be paid 50 percent more per hour than candidate Q would be paid. Candidate Q, if hired, would require 10 hours more than candidate P to do the job. Candidate P’s hourly wage is how many dollars greater than candidate Q’s hourly wage?
A.$9
B.$15
C.$18
D.$21
Answer: A.$9
Explanation: Let Q's hourly wage be x, then P's hourly wage is 1.5x
Let T be the number of hours that Q needs, then P needs T-10 hours to do the job.
Since they both are paid an equal total amount of $540:
x*T=1.5x*(T-10)
T = 30 hours and Q's hourly wage is 540/30 = $18
P's hourly wage is 540/(T-10) = $27 which is $9 per hour more.
The answer is A.
Question: When x is even, [x] = x/2 + 1, when x is odd [x] = 2x + 1 then [17]*[4] = ?
A.[22]
B.[44]
C.[105]
D.[88]
Answer: C.[105]
Explanation: [17]*[4]=(2*17+1)(4/2+1)
=[105].
Ans - C
Question: Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage Z.
A.16.8%
B.17.4%
C.17.9%
D.18.5%
Answer: B.17.4%
Explanation: Given: Selling price of an Apple = 23 --> Cost price = 23/1.15 = 20
Selling price of an orange = 10 --> Cost price = 10/1.25 = 8
A > O
23*(A) + 10*(O) = 653
653 - 23*(A) has to be divisible by 10 --> Units digit has to be 0
Values of A can be 1, 11, 21, 31, .... --> 1 cannot be the value
Between 11 and 21, If A = 11, O = 30 --> Not possible
If A = 21, O = 17 --> Possible
Cost price = 20*21 + 8*17 = 420 + 136 = 556
Profit = 653 - 556 = 97
Profit% Z = (97/556)*100 = 17.4%
Answer: B
Question: What will come in place of the x in the following Number series? 8, 10, 14, 22, 38, x
A.66
B.68
C.70
D.72
Answer: C.70
Explanation: 88 x 2 - 6 = 1010 x 2 - 6 = 1414 x 2 - 6 = 2222 x 2 - 6 = 3838 x 2 - 6 = 70C
Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 100 players took part in that tournament.
How many matches were played?
A.90 matches
B.95 matches
C.99 matches
D.85 matches
Answer: C.99 matches
Explanation: C
99 matches.
The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 99 matches were played.
Question: We bought 85 hats at the store. Blue hats cost $6 and green hats cost $7. The total price was $548. How many green hats did we buy?
A.36
B.38
C.40
D.42
Answer: B.38
Explanation: Let B be the number of blue hats and let G be the number of green hats.
B+G=85.
B=85-G.
6B+7G=548.
6(85-G)+7G=548.
510-6G+7G=548.
G=548-510=38.
The answer is B.
Question: In what time will a cart 50 m long cross, if its speed be 36 km/hr?
A.25
B.5
C.15
D.20
Answer: B.5
Explanation: Speed = 36 * 5/18 = 10 m/sec
Time taken = 50/10 = 5 sec.
Answer:B
Question: The average of first 18 natural numbers is?
A.5.6
B.9.5
C.9.1
D.9.8
Answer: B.9.5
Explanation: Sum of 18 natural no.
= 342/2 = 171
Average = 171/18
= 9.5
Answer:B
Question: What is the area of a square field whose sides have a length of 13 meters?
A.225 sq m
B.169 sq m
C.128 sq m
D.267 sq m
Answer: B.169 sq m
Explanation: 13 * 13 = 169 sq m
The answer is B.
Question: Of the total amount that Rose spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Rose paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
A.2.8%
B.4.4%
C.4.6%
D.5.2%
Answer: B.4.4%
Explanation: Assume she has $200 to spend.
TAX
Clothing = 50% = $100= $4.00
Food = 20% = $ 40 = $0.00
Items = 30% = $ 60 = $ 4.80
Total tax = $8.80
% of total amount = 8.8/200 * 100 = 4.4%
B)
Question: The area of a parallelogram is 242sq m and its altitude is twice the corresponding base. Then the length of the base is?
A.8
B.9
C.7
D.11
Answer: D.11
Explanation: 2x * x = 242 => x= 11
Answer: D
Question: (1+0.0001)/(0.04+10000)
The value of the expression above is closet to which of the following?
A.0.0001
B.0.001
C.0.1
D.1
Answer: A.0.0001
Explanation: Notice that we need approximate value of the fraction.
Now, the nominator is very close to 1 and the denominator is very close to 10, hence the value of the fraction is very close to 1/10000=0.0001.
Answer: A
Question: Mr. T has a wrong weighing pan. One arm is lengthier thanother.1 kilogram on left balances 8 melons on right.1 kilogram on rightbalances 2 melons on left. If all melons are equal in weight, what is theweight of a single melon
A.100grm
B.200grm
C.300grm
D.400grm
Answer: B.200grm
Explanation: R L
8m 1kg
1kg 2m
total melons in Right and Left = 10melons
total kilogram in Right and Left = 2kg
for balance
10melons = 2kg
5melons = 1kg
So that weight of 1 melons = 1000/5 = 200grm
ANSWER:B
Question: Let d(n) represent the sum of the digits of the integer n. For example,
d(2016) = 2 + 0 + 1 + 6 = 9:
For how many positive 3-digit integers k is it true that d(k) > d(k + 1)?
A.90
B.100
C.120
D.140
Answer: A.90
Explanation: Note that d(k) > d(k + 1) if and only if the units digit of k is 9, because if the units
digit of k is not 9, then d(k) = d(k + 1) - 1 < d(k + 1). Since there are 9 possible hundreds
digits and 10 possible tens digits, there are 9 * 10 = 90 possible values of k.
correct answer A
Question: A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 244 passengers. Find the no of passengers in the beginning?
A.292
B.180
C.276
D.144
Answer: C.276
Explanation: Let no of passengers in the beginning be X
After first station no passengers=(X-X/3)+280=2X/3 +280
After second station no passengers =1/2(2X/3+280)+12
1/2(2X/3+280)+12=244
2X/3+280=2*232 = 464 - 280 = 184
2X/3=184
X=276. So the answer is option C) 276.
Question: If two sides of a triangle have lengths 3 and 7, which of the following could be the perimeter of the triangle?
I. 9
II. 15
III. 19
A.None
B.I only
C.II only
D.II and III only
Answer: D.II and III only
Explanation: Let x be the length of the third side.
7-3 < x < 7+3
4 < x < 10
14 < perimeter < 20
The answer is D.
Question: The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 512,000 locusts?
A.18
B.15
C.13
D.14
Answer: D.14
Explanation: - 4 hours: 1,000
-2 hours: 2,000
Now: 4,000
+ 2 hours: 8,000
+ 4 hours: 16,000
+ 6 hours: 32,000
+ 8 hours: 64,000
+ 10 hours: 128,000
+ 12 hours: 256,000
+ 14 hours: 512,000
Answer : D
Question: The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
A.22
B.31
C.17
D.12
Answer: B.31
Explanation: Total age seven persons = (28 * 7)years
Total age of the first three persons and the last three persons are (21 * 3) years and (34 * 3) years respectively.
Age of the person sitting in the middle of the row = 28 * 7 - 21 * 3 - 34 * 3 = 196 - 63 - 102 = 31 years.
Answer: B
Question: The sides of a square region, measured to the nearest centimeter, are 5 centimeters long. The least possible value of the actual area of the square region is
A.25.25 sq cm
B.20.25 sq cm
C.30.25 sq cm
D.36.25 sq cm
Answer: B.20.25 sq cm
Explanation: Though there might be some technicalities concerning the termnearest(as 4.5 is equidistant from both 4 and 5) the answer still should be : 4.5^2=20.25.
Answer: B
Question: A bag is filled with pennies and nickels in the ratio of 4 to 3. There are 45 nickles in the bag, how many coins are there in that bag?
A.40
B.105
C.65
D.70
Answer: B.105
Explanation: A ratio of pennies to nickels of 4 to 3 means that we can write the number of pennies and nickels in the form
number of pennies = 4x and number of nickels = 3x
But we know the number of nickels, 45. Hence
3x = 45
Solve for x
x = 15
The total number of coins is given by
4x + 3x = 4x = 7 × 15 = 105
Answer : B
Question: A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
A.2/113
B.2/115
C.1/108
D.1/119
Answer: C.1/108
Explanation: Sol. Total number of favorable outcomes n(S) . e . 216 Combinations of outcomes for getting sum of 15 on uppermost face = (4, 5, 6) (5, 4, 6) (6, 5, 4) (5, 6, 4), (4, 6, 5), (6, 4, 5), (5, 5, 5), (6, 6, 3), (6, 3, 6) (3, 6, 6) Now outcomes on which first roll was a four, n(E) = (4, 5, 6), (4, 6, 5) P(E) n(E) 2 1 Pt') = n(S) = 216 = 1/108
C
Question: If 20,030 + x is a multiple of 3, which of the following could be the value of x?
A.1
B.2
C.3
D.4
Answer: D.4
Explanation: Sum of the digits of 20,030 is 2+0+0+3+0 = 5
Now 5 is not a multiple of 3, the next multiple of 3 close to 5 is 9, which is 4 added to 5.
So the least number to be added to 20,030 is 4
D
Question: Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 4 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
A.3 9/17
B.6
C.7
D.7 1/5
Answer: B.6
Explanation: rate of machine x = 1000/12
(1000/12 + y)4=1000
y=350/3
500/3 * t = 1000
t=6
B.
Question: Two trains travelling in the same direction at 70 and 35 kmph completely pass off another in 144 sec. If the length of the first train is 185 m, what is the length of the second train?
A.1387 m
B.1400 m
C.1215 m
D.1512 m
Answer: C.1215 m
Explanation: RS =70 â€“ 35 = 35* 5/18 mps
T = 144 sec
D =35*5/18 * 144= 1400 m
185
--------
1215 m
Answer: C
Question: If you throw two dice at a same time.
Can you find the probability of getting sum as 10 of the two numbers shown ?
A.1/16
B.2/14
C.1/12
D.1/19
Answer: C.1/12
Explanation: C
1/12
All possible cases can be 36 (6*6)
Case we need : [(4,6), (5,5), (6,4)] = 3
probability => 3/36 = 1/12
Question: An express traveled at an average speed of 100 km/hr, stopping for 3 min after every 75 kn. How long did it take to reach its destination 600 km from the starting point?
A.6 hrs 21 min
B.6 hrs 71 min
C.6 hrs 28 min
D.6 hrs 21 min
Answer: A.6 hrs 21 min
Explanation: Time taken to cover 600 km = 600/100 = 6 hrs.
Number of stoppages = 600/75 - 1 = 7
Total time of stoppages = 3 * 7 = 21 min
Hence, total time taken = 6 hrs 21 min.
Answer: A
Question: Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 40% of the previous term. What is the value range of the five numbers?
A.9,375
B.9,744
C.9,975
D.9,984
Answer: B.9,744
Explanation: 1st number= 10,000
2nd number = 40% of 10,000= 4000
3rd number= 40% of 4000= 1600
4th number = 40% of 1600= 640
5th number= 40% of 640= 256
Range = 10,000-256= 9744
B is the answer
Question: Josh spends a total of $6.50 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
A.99
B.100
C.121
D.109
Answer: C.121
Explanation: Let x be 0.05$ single bubblegum and y be the total 0.5$ packs ---> 0.05x+0.5y=6.5 ---> x+10y=130 ...(1)
Also, x+y=N ...(2)
Solving 1 and 2 , we get, N = 130-9y ---> only value satisfied is when y = 1---> N = 130-9=121. C is the correct answer. Other options are not equal to multiples of 9 removed from 130.
Question: hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:
A.720
B.900
C.1200
D.1800
Answer: C.1200
Explanation: 2(15 + 12) x h = 2(15 x 12)
h =	180/27m =	20/3	m.
Volume = 15 x 12 x	20/3	m3
Answer: Option C
Question: What is the probability that two siblings, ages 6 and 8, will have the same birthday, assuming neither was born in a leap year?
A.1/133225
B.1/365
C.1/48
D.1/14
Answer: B.1/365
Explanation: Since we have to account for the FULL YEAR though, we would need to consider all 365 options. You don't really need to write them all out though, since you know that each is the same product. This gives us...
(365)(1/365)(1/365)
The first two parentheses 'cancel out', leaving us with....
1/365
Final Answer:B
Question: When 40 is subtracted from a number, it reduces to seven-twelve of the number. What is the sum of the digit of the number
A.40
B.44
C.96
D.98
Answer: C.96
Explanation: Explanation:
Let the number be x. Then,
x - 40 = 7x/12 => x - 7x/12 = 40
5x/12 = 40 => x = 96
Answer: Option C
Question: The reflex angle between the hands of a clock at 10:25 is?
A.180°
B.192 1⁄2°
C.195°
D.197 1⁄2°
Answer: D.197 1⁄2°
Explanation: Angle traced by hour hand in 125⁄12 hrs.
(360/12×125/12)∘=312 1/2∘
Angle traced by minute hand in 25 min.
= (360/12×25)∘=150∘
∴ Reflex angle = 360 - (312 1/2−150)∘=312 1/2∘
Answer D
Question: if x^2+4y^2=4xy,then x:y=?
A.2:1
B.1:2
C.1:1
D.1:4
Answer: A.2:1
Explanation: x^2+4y^2-4xy=0
(x-2y)^2=0, x-2y=0,x/y=2
x:y=2:1
answer A
Question: An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 8-inch piece of sausage if each piece is to be 2/3 of an inch ?
A.12
B.32
C.22
D.15
Answer: A.12
Explanation: Number of pieces=Italian sausage÷2/3 of an inch
=8 ÷ 2/3
=8/1 ÷ 2/3
=8/1*3/2 = 24/2
=12.
Answer is A.
Question: Two persons start running simultaneously around a circular track of length 250 m from the same point at speeds of 20 kmph and 40 kmph. When will they meet for the first time any where on the track if they
are moving in the opposite direction ?
A.144
B.15
C.18
D.32
Answer: B.15
Explanation: Time taken to meet the first time = length of track/relative speed
= 250/ (20 +40) (5/18)
= 250/60 *(18/5) = 15 sec.
Answer : B
Question: The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 625 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140
B.99
C.100
D.72
Answer: C.100
Explanation: Given that the area of the square = 625 sq.units
=> Side of square = √625 = 25 units
The radius of the circle = side of the square = 25 units Length of the rectangle = 2/5 * 25 = 10 units
Given that breadth = 10 units
Area of the rectangle = lb = 10 * 10 = 100 sq.units
Answer: C
Question: Anintegratedteam consists of 2 members from the engineering team and 2 members from the design team. If the engineering team has 5 members and the design team has 4 members, how manyintegratedteam formations are possible?
A. 36
B. 60
C. 76
D. 90
Answer: B. 60
Explanation: 2 out of 5 times 2 out of 4 => 5*4/2*1 * 4*3/2*1 = 60
B
Question: If Jan 1, 2006 was a Saturday, What was the day of the week Jan 1, 2010?
A.Friday
B.Thursday
C.Tuesday
D.Saturday
Answer: B.Thursday
Explanation: Explanation :
Given that Jan 1 2006 was a Saturday
Number of odd days in the period 2006-2009
= 3 normal years + 1 leap year
= 3 x 1 + 1 x 2 = 5 (note that we have taken the complete year 2006 because the period in 2006 is from 01-Jan-2006 to 31-Dec-2006, which is the whole year 2006. Then the complete years 2007, 2008 and 2009 are also involved)
Hence Jan 1 2010 = (Saturday + 5 odd days) = Thursday.. Answer : Option B
Question: A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay?
A.3%
B.4%
C.5%
D.6%
Answer: D.6%
Explanation: If total no of students is 100.
No of students from Maharashtra = 30
No of students from Bombay = 30*20/100 = 6
so 6% students are from Bombay
ANSWER:D
Question: A dealer sells his goods at cost price 950gm weight for 1kg his gain percentage is
A.5 4/95% Loss
B.5 4/95% Loss
C.5 5/19% Loss
D.5 5/19% Gain
Answer: D.5 5/19% Gain
Explanation: Explanation:
Cost price ---> 950
Selling price --->1000
= ( 1000 ~ 950 )/950 * 100 ==> 50/950 * 100 = 5 5/19% Gain
Answer: Option D
Question: The sum of ages of 5 girls born at the intervals of 3 years each is 50 years. What is the age of the youngest girl?
A.4 years
B.5 years
C.6 years
D.8 years
Answer: A.4 years
Explanation: Let the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.
Then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50
5x = 20
x = 4.
Age of the youngest child = x = 4 years.
A)
Question: A group of workers had agreed on a very strange payment schedule. Each of
them would get $100 for every day that they had worked, but for every day they
did not work will have to return $25. After 30 days they realised they did not
earn any money. How many days the workers did not work?
A.15
B.24
C.30
D.20
Answer: B.24
Explanation: The workers earn 4 times more than they have to return
per day for not working. So the number of days they did not work is
4 times the number of days they worked. That means 24 days of not
working in 30 days.
correct answer B