RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a(a + 4) = 21 and b(b + 4) = 21, where a ≠ b, then a + b =
A. −4
B. −2
C. 2
D. 46
Answer: A. −4
Explanation: a(a + 4) = 21
=> we have a = 3 or -7
also b(b + 4) = 21
=> b = 3 or -7
given a ≠ b
1) when a =3, b= -7 and a + b = -4
1) when a = -7, b= 3 and a + b = -4
Answer choice A
Question: The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.242 m
B.249 m
C.245 m
D.235 m
Answer: C.245 m
Explanation: Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30
= 25/2 => 2(130 + x)
= 750 => x
= 245 m.
Answer: C
Question: At a circular table for nine will sit seven adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing the arrangement, in how many different ways can the nine people be arranged around the table.
A.120
B.240
C.480
D.600
Answer: C.480
Explanation: Consider the two parents and two children as one unit.
Then there are five adults and one family unit.
The number of ways 6 can form a line is 6!
Around a circular table, there would be 6 rotations so we divide this number by 6.
There are 5! ways for 6 to sit around the circular table.
Then the two children have two options and the two parents have two options.
Then the total number of ways is 5!*2*2= 480
The answer is C.
Question: The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 4 hours, then find the speed of the boat in still water?
A.A)7
B.B)2
C.C)8.73
D.D)5.77
Answer: D.D)5.77
Explanation: S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 4
x = 5.77
Answer:D
Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $10. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A.90/(xy)
B.90xy
C.xy/90
D.xy/10
Answer: A.90/(xy)
Explanation: The area of the carpet in feet is xy.
The area in square yards is xy / 9.
The price per square yard is 10 / (xy/9) = 90/(xy).
The answer is A.
Question: Carol is three times Alice’s age but only twice as old as Betty. Alice is sixteen years younger than Carol. How old is Betty?
A.16
B.19
C.12
D.18
Answer: C.12
Explanation: Beyond the obvious Algebra approach to this question, it can also be solved by TESTing THE ANSWERS.
We're told 3 facts about the relative ages of 3 people:
1) Carol's age is 3 times Alice's age
2) Carol's age is 2 times Betty's age
3) Carol is 16 years older than Alice
We're asked for BETTY'S age.
Since Carol is TWICE Betty's age, Betty is clearly younger than Carol, so we'll TEST a smaller answer first.
IF....
Betty = 12
Then Carol = 2(12) =24
Then Alice = 24 - 16 = 8 AND 24/3 = 8
All of these values mesh perfectly with the facts and with one another, so Betty MUST be 12
C
Question: The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 20. Which of the following integers is the higher of the remaining two integers?
A.32
B.86
C.44
D.82
Answer: D.82
Explanation: Let the four integers be A, B, C and D where A > B > C > D.
(A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1)
A = 93, D = 39 and B - C = 20
(1) => B + C = 276 - (A + D) = 276 - 132 = 144.
B + B -20 = 144
B = (144 + 20)/2 = 82
Answer:Option D
Question: Increasing the original price of an article by 8 percent and then increasing the new price by 8 percent is equivalent to increasing the original price by
A.16.16%
B.16.32%
C.16.64%
D.17.26%
Answer: C.16.64%
Explanation: 1.08*1.08*x = 1.1664*x
The answer is C.
Question: Ravi and Kavi start a business by investing â‚¹ 6000 and â‚¹ 72000, respectively. Find the ratio of their profits at the end of year.
A.2 : 12
B.5 : 12
C.7 : 12
D.1 : 12
Answer: D.1 : 12
Explanation: Ratio of profit = Ratio of investments
= 6000 : 72000 = 1 : 12
Answer : D
Question: Three friends X, Y, Z rented a auto for Rs.520. A used it for 6 hours, B used it for 9 hours and C used it for 11 hours. What is the hire charges paid by Y:
A.Rs 140
B.Rs 160
C.Rs 180
D.Rs 200
Answer: C.Rs 180
Explanation: X : Y : Z = 7 : 8 : 11. Hire charges paid by Y = Rs(520×9/26) = Rs.180.
Answer C
Question: If n is a positive integer and n^2 is divisible by 18, then what is the largest positive integer that must divide n?
A.3
B.4
C.6
D.8
Answer: C.6
Explanation: 18 = 2 * 3^2
If 18 divides n^2, then n must be divisible by 2 * 3 = 6
The answer is C.
Question: What is the least possible product of 4 different integers, each of which has a value between –6 and 10, inclusive?
A.–4320
B.–3600
C.–720
D.–600
Answer: A.–4320
Explanation: Maximize the total product with a -ve sign
so -6 * 10 * 9 * 8 = 720 * -6 = -4320
Answer is A.
Question: A numberais squared and then multiplied by negative 3. The result of this operation Q is equal to three times the sum of three timesaand two. What is one possible value ofa?
A.-3
B.-2
C.1
D.2
Answer: B.-2
Explanation: Q=-3*a^2=3(3a+2)
a= -2 or -1
a=-2=B
Question: Boy sells a book for Rs. 800 he gets a loss of 20 %, To gain 10%, what should be the SP?
A.1100
B.450
C.550
D.590
Answer: A.1100
Explanation: Cost price = 800/80 x 100 = 1000
To gain 10% = 1000 x 10/100 = 100
SP = CP + gain = 1000 + 100 = 1100
Answer :A
Question: A right circular cone is exactly fitted inside a cube in such away that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex is on the opposite face of the cube. If the volume of the cube is 343 cc, what approximately is the volume of the cone?
A.80 cc
B.90 cc
C.110 cc
D.105 cc
Answer: B.90 cc
Explanation: Edge of the cube = 3√334= 7 cm
∴ Radius of cone = 3.5 cm
height = 7 cm
volume of cone = 1⁄3πr2h
1⁄3πr2h = 1⁄3 × 22⁄7 × (3.5)2 × 7 = 1⁄3 × 22 × 12.25 ≈ 90 sec
Answer B
Question: A man is 4 times as old as her daughter. In 3 years she will be 3 times as old as her daughter. How old is the man now?
A.3 years
B.6 years
C.12 years
D.24 years
Answer: D.24 years
Explanation: Let man's present age = w
and daughter's present age = d
w= 4d --- equation 1
w+3 = 3(d+3)
=>w = 3d +6 --- equation 2
From 1 and 2 , we get
d=6
w=24
Answer D
Question: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
A.299
B.266
C.278
D.500
Answer: D.500
Explanation: (x*5*1)/100 + [(1500 - x)*6*1]/100 = 85
5x/100 + 90 – 6x/100 = 85
x/100 = 5
=> x = 500
Answer:D
Question: In a kickball competition of 7 teams, how many possible matches can each team play with each other?
A. 9
B. 16
C. 24
D. 21
Answer: D. 21
Explanation: 7C2 = 21
Option D
Question: If n = (33)^40 + (43)^33 what is the units digit of n?
A.1
B.2
C.4
D.6
Answer: A.1
Explanation: First of all, the units digit of (33)^40 is the same as that of 3^43 and the units digit of (40)^33 is the same as that of 3^33. So, we need to find the units digit of 3^40 + 3^33.
Next, the units digit of 3 in positive integer power repeats in blocks of four {3, 9, 7, 1}:
3^1=3 (the units digit is 3)
3^2=9 (the units digit is 9)
3^3=27 (the units digit is 7)
3^4=81 (the units digit is 1)
3^5=243 (the units digit is 3 again!)
...
Thus:
The units digit of 3^40 is the same as the units digit of 3^3, so 7 (43 divided by the cyclicity of 4 gives the remainder of 3).
The units digit of 3^30 is the same as the units digit of 3^1, so 3 (33 divided by the cyclicity of 4 gives the remainder of 1).
Therefore the units digit of (33)^40 + (40)^33 is 7 + 4 =1.
Answer: A.
Question: A car takes 6 hours to cover a distance of 432 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
A.48 Kmph
B.50 Kmph
C.52 Kmph
D.56 Kmph
Answer: A.48 Kmph
Explanation: Time = 6
Distence = 432
3/2 of 6 hours = 6 * 3/2 = 9 Hours
Required speed = 432/9 = 48 Kmph
A
Question: Ramu bought an old car for Rs. 42000. He spent Rs. 12000 on repairs and sold it for Rs. 64900. What is his profit percent?
A.12%
B.16%
C.20.18%
D.82%
Answer: C.20.18%
Explanation: Total CP = Rs. 42000 + Rs. 12000 = Rs. 54000 and SP
= Rs. 64900
Profit(%) = (64900 - 54000)/54000 * 100
= 20.18%
Answer:C
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
A.134560 m
B.1354760 m
C.153600 m
D.167800 m
Answer: C.153600 m
Explanation: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m
C
Question: 16 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
A.2√2
B.4
C.5
D.4√2
Answer: B.4
Explanation: Area of Sector, A = x/360*pi*r^2
Circumference of the sector = 16
=> x/360*2*pi*r +2r= 16
=> 2A/r+2r=16
=> A=(r16- 2r^2)/2
= r8-r^2
We will now max using derivations
Max value of A will found at A=0
i.e 8-2r=0
r=4
B
Question: Jibin went up a certain hill at the rate of one and a half kilometers per hour and came down at the rate of four and a half kilometers per hour, so that it took just four hours to make the double journey. How far was it to the top of the hill ?
A.3 km
B.6 km
C.4.5 km
D.km
Answer: C.4.5 km
Explanation: Assume the distance to the top of the hill (1 way) as: x
Now, speed=distance/time => time=distance/speed
So, for the first half of the journey, he traveled uphill at 1.5km/hr, so the time taken for the first leg of the journey is: x/1.5.
For the second half, he traveled downhill at 4.5km/hr, so the time taken for the second leg of the journey is: x/4.5
Now, the total time for the trip is given as 4 hrs.
Equating, (x/1.5)+(x/4.5)=4 => (3x+x)/4.5=4 => x=4.5 km
So, the distance one side is = 4.5 km.
The OA mentioned is 9km, which is exactly double of this distance, i.e., the total distance traveled during both legs of the journey, but the question only asked for the distance till the top of the hill, i.e., one way, so the answer should be 4.5km
Can someone assist me in understanding where am I wrong here?
Question: Indu gave Bindu Rs.1875 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
A.s.10
B.s.2
C.s.5
D.s.3
Answer: D.s.3
Explanation: 1875 = D(100/4)2
D = 3
ANSWER:D
Question: Jonathan, Matthew and Zac are picking strawberries from their yard. Together they have picked a total of 550 strawberries. Jonathan and Matthew have picked 350 strawberries together. Matthew and Zac have picked 250 strawberries together. How many strawberries has Zac picked by himself?
A.100
B.200
C.350
D.50
Answer: B.200
Explanation: Jonathan = Matthew + Zac = 550 strawberries
J + M = 350
M + Z = 250
Use J + M = 350 to plug into the original formula
(J + M) + Z = 550
350 + Z = 550
Subtract 350 from each side
Z = 200
Answer: B
Question: Ashok secured average of 75 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject?
A.66
B.74
C.78
D.80
Answer: D.80
Explanation: Explanation:
Number of subjects = 6
Average of marks in 6 subjects = 75
Therefore total marks in 6 subjects = 75 * 6 = 450
Now, No. of subjects = 5
Total marks in 5 subjects = 74 * 5 = 370
Therefore marks in 6th subject = 450 – 370 = 80
ANSWER D
Question: Ages of two persons differ by 20 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
A.12,28
B.14,30
C.16,36
D.18,34
Answer: C.16,36
Explanation: Explanation:
Let the age of younger person is x,
Then elder person age is (x+20)
=> 3(x-6) = (x+20-6) [6 years before]
=> 3x-18 = x+14
=> x = 16
So other person age is x + 20 = 36
Answer: Option C
Question: A train running at the speed of 90 km/hr crosses a pole in 5 seconds. Find the length of the train.
A.150 meter
B.145 meter
C.140 meter
D.125 meter
Answer: D.125 meter
Explanation: Explanation:
Speed = 90*(5/18) m/sec = 25 m/sec
Length of Train(Distance) = Speed * Time
=25*5=125 meter
Option D
Question: 45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
A.338
B.667
C.188
D.100
Answer: D.100
Explanation: (45 * 8)/30 = (x * 6)/50 => x =100
100 – 45 = 55
Answer: D
Question: 108.	Triangle A’s base is 12% greater than the base of triangle B, and A’s height is 12% less than the height of triangle B. The area of triangle A is what percent less or more than the area of triangle B?
A. 9 % less
B. 0.7 % less
C. Equal to each other
D. 1 % more
Answer: B. 0.7 % less
Explanation: Wish the question specified that we are talking about corresponding height.
Base of A = 13/12 * Base of B
Height of A = 11/12 * Height of B
Area of A = (1/2) * Base of A * Height of A = 13/12 * 11/12 * Area of B = 143/144 * Area of B
Area of A is 0.7% less than the area of B.
Answer (B)
Question: Which of the following must be an integer if the integer x is divisible by both 18 and 12?
A.x/252
B.x/189
C.x/126
D.x/36
Answer: D.x/36
Explanation: the integer has to be multiple of LCM of 18 and 12, which is 36..
so x/36 will be an integer
ans D
Question: A factory has three types of machines, each of which works at its own constant rate. If 7 Machine As and 11 Machine Bs can produce 360 widgets per hour, and if 8 Machine As and 22 Machine Cs can produce 600 widgets per hour, how many widgets could one machine A, one Machine B, and one Machine C produce in one 8-hour day?
A.400
B.475
C.480
D.625
Answer: C.480
Explanation: Let Machine A produce A widgets per hour. B produce B widgets per hour and C produce C widgets per hour.
7A+11B=360 ---(1)
8A+22C=600 ---(2)
Dividing (2) by 2
4A+11C=300.....(3)
Adding (1)(3)
11A+11B+11C = 660
A+B+C=60 per hour
So for eight hrs = 60*8 = 480 = Answer = C
Question: The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A.876 m
B.157 m
C.225 m
D.156 m
Answer: C.225 m
Explanation: Speed = [45 X 5/18] m/sec
= [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2
=> 2(150 + x) = 750 => x
= 225 m.
Answer: C
Question: A thief steels a car at 6a.m. and drives it at 50kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 100 kmph. When will he overtake the thief?
A.9a.m.
B.9.30a.m.
C.10a.m.
D.8 a.m.
Answer: D.8 a.m.
Explanation: Suppose the thief overtakes x hours after 6a.m.
Distance covered by the thief in x hrs = distance covered by the owner in (x-1 hours)
50x = 100(x-1)
50x = 100
x = 2 hrs
Thief is overtaken at 8a.m.
Answer is D
Question: Riya purchase 20 jars in a store then she returned 4 jars to store .Now how many jars she had?
A.A)5
B.B)11
C.C)19
D.D)16
Answer: D.D)16
Explanation: 20-4=16. Answer is D
Question: Tom, who has 50 math questions, will get 5 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 3 points per question. Then, which of the following can be the score if he solves all the 50 questions?
A.192
B.193
C.194
D.195
Answer: C.194
Explanation: Let x be the correctly answered questions. y be the wrongly answered/ skipped ones.
We have x + y = 50;
Score = 5x-3y
3x+3y = 150; 5x-3y = Score;
==> 8x = 150+Score;
check for answer choices where 150+Score is divisible by 8
Choice (C) 194 fits the equation !
Question: What is the probability of drawing a "Queen" from a deck of 52 cards?
A.2/7
B.1/13
C.3/5
D.2/8
Answer: B.1/13
Explanation: Explanation :
Total number of cards, n(S) = 52
Total number of "Queen" cards, n(E) = 4
P(E) =n(E)/n(S)=4/52=1/13
Answer: B
Question: In covering a distance of 60 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
A.5 km/h
B.8 km/h
C.10 km/h
D.15 km/h
Answer: C.10 km/h
Explanation: Let A's speed be X km/hr.
Then, 60/x - 60/2x = 2
6x = 60
x = 10 km/hr.
Answer : C
Question: A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?
A.Either 37 ;30:1
B.Either ;35:1
C.Either 15;15:12
D.Either 21;35:1
Answer: B.Either ;35:1
Explanation: Each of the span is an independent event and the outcome of the 15th span will not depend on the outcome of the earlier spans.
Either ;35:1
B)
Question: How long does a train 130 m long running at the speed of 98 km/hr takes to cross a bridge 160 m length?
A.13.9 sec
B.13.1 sec
C.17.9 sec
D.61.9 sec
Answer: B.13.1 sec
Explanation: Speed = 98 * 5/18 = 27 m/sec
Total distance covered = 130 + 160 = 290 m.
Required time = 290/22 = 13.1 sec.
Answer:B
Question: A scale 6 ft. 8 inches long is divided into 4 equal parts. Find the length of each part
A.17 inches
B.20 inches
C.15 inches
D.18 inches
Answer: B.20 inches
Explanation: Explanation:
Total length of scale in inches = (6*12) + 8 = 80 inches
Length of each of the 4 parts = 80/4 = 20 inches
ANSWER: B
Question: A bag contains 6red, 5blue and 2green balls. If 2 ballsare picked at random, what is the probability that both are red?
A.2/21
B.3/41
C.5/26
D.3/31
Answer: C.5/26
Explanation: P(Both are red),
=6C213C2=6C213C2
=5/26
C
Question: At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
A.89%
B.10%
C.70%
D.80%
Answer: C.70%
Explanation: A B C D
90 100 80 100
A D
90 ----- 100
360 ------ ? = 400
500 ------ 400
100 ------- ? => 80%
Answer:C:
Question: The greatest possible length which can be used to measure exactly the length 6m, 2m 25cm, 10 m 90 cm is
A.15 cm
B.5 cm
C.25 cm
D.42 cm
Answer: B.5 cm
Explanation: Explanation:
Required Length = H.C.F of 600 cm, 225 cm and 1090 c
= 5 cm. Answer: B
Question: The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?
A.10
B.25
C.30
D.35
Answer: B.25
Explanation: 39x = 5 + 12 + 15 + 19 + (x â€“ 4)44
x = 25
ANSWER B
Question: Find the term next in series..
1,1/2,3/2,2,5,1/3, 16/3, 15,12,1/4,25/4,?
A.next number is 48
B.58
C.40
D.43
Answer: A.next number is 48
Explanation: [1,1/2,3/2,2],[5,1/3/16/3,15],[12,1/4,25/4,x]
1+1/2=3/2. .....1/1/2=2
5+1/3=16/3. ....5/1/3=15
12+1/4=25/4....12/1/4=48
ANSWER:A
Question: A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly :
A.21.6 %
B.21.9 %
C.21.7 %
D.21.2 %
Answer: A.21.6 %
Explanation: Explanation:
Total money = = Rs. 750.
25 paise coins removed == 72.
50 paise coins removed = = 288.
Money removed = = Rs.162.
Required percentage = % = 21.6 %.
Answer: A)
Question: The selling price of 13 apples is the same as the cost price of 26 mangoes . The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is the profit on selling apples?
A.20%
B.25%
C.40%
D.50%
Answer: B.25%
Explanation: Given that S.P of 13 apples = C.P of 26 mangoes
S.P of an apple = 2*C.P of the mango
S.P of 16 mangoes = C.P of 12 apples
C.P of the apple = 4/3 *S.P of the mango
Mango Apple
C.P x 4/3*y
S.P y 2x
Given that y = 1.2x
C.P of apple = 4/3*1.2x =1.6x
Profit on each apple = (S.P – C.P)/C.P*100,
= (2x –1.6x)/1.6*100 = 0.4/1.6 *100 =25%
ANSWER:B
Question: Sudhir started a business with Rs.50,000 and after 8 months Ravi joined him with Rs.60,000. If they get a profit of Rs.28000 then ratio of their shares will be
A.3:2
B.5:2
C.4:3
D.3:4
Answer: B.5:2
Explanation: 50000*12:60000*(12-8)
=600000 :240000
=5:2
ANSWER:B
Question: Michael drives to hospital in 30 minutes at certain speed & he doubles his speed while returning. Calculate the total time taken for the round trip
A.30 minutes
B.20 minutes
C.45 minutes
D.60 minutes
Answer: C.45 minutes
Explanation: s1 = d1/t1;
s2 = d2/t2
Speed = distance / time taken
In this case d1= d2
Total time = t1 + t2
t1 = 30 minutes & t2 = 15 minutes (since speed is doubled over the same distance)
T= 30 + 15 = 45 minutes
ANSWER: C
Question: y=x/(x-k),where k is a constant,and x is real number.show that.
1.y increase with increase in x.
2.y decreases first and then increase with the value of x.
3.y increase then decrease with the value of x.
4.it remains constant.
A.2
B.18
C.1
D.77
Answer: B.18
Explanation: Typical question. Taking k =5 and we draw the graph,
If x increases y decreases but when x equal to k, y value becomes infinite. But when x is greater than k, y value slowly reaches to 1. So it decrease from infinite to 1.
Answer:B
Question: Calculate Ruth's average score in an exam if she obtained the following marks 69, 89, 65, 82 and 58 out of 100 in different subjects.
A.75.6
B.72.6
C.71.6
D.73.6
Answer: B.72.6
Explanation: Explanation:
(69+89+65+82+58)/5=72.6
Answer: Option B
Question: A meeting has to be conducted with 4 managers. Find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together.
A.48
B.55
C.58
D.62
Answer: B.55
Explanation: The total number of ways to choose 4 managers is 8C4 = 70
We need to subtract the number of groups which include the two managers, which is 6C2 = 15.
70 - 15 = 55
The answer is B.
Question: In a rectangular axis system, what is the area of a parallelogram with the coordinates: (3,5), (9,5), (2,7), (8,7) ?
A.21.
B.28.
C.35.
D.12.
Answer: D.12.
Explanation: Delta x will give us the dimension of one side of the parallelogram = 9-3= 6 unit
Delta y will give us the dimension of the other side of parallelogram = 7-5=2 unit
Area of parallelogram = 6*2 = 12
ANSWER IS D
Question: If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a six-percent vinegar solution, what was the concentration of the original solution?
A.19.3%
B.31%
C.16.67%
D.15.5%
Answer: B.31%
Explanation: Let X be the quantity of non-vinegar in the strong vinegar solution
Thus vinegar quantity will be 12 - X
When 50 ounces of water were added the percentage of vinegar becomes 6%, thus (12 - X)/62 = 6/100
From this equation X = 8.28
Answer (12-8.28)/12 = 31%
ANSWER:B
Question: 2: 3 = 4/5: x. The value of x is?
A.6/5
B.2
C.3
D.4
Answer: A.6/5
Explanation: x * 2 = 3 * 4/5
x *2= 12/5
x=6/5
ANSWER:A
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A.2000
B.3377
C.2667
D.2887
Answer: A.2000
Explanation: (10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
Answer:A
Question: An article is listed at Rs. 920. A customer pays Rs. 742.90 for it after getting two successive discounts. If the rate of first discount is 15%, the rate of 2nd discount is:
A.3%
B.5%
C.8%
D.12%
Answer: B.5%
Explanation: Solution: MP = 920.
After first discount Marked Price (MP) become,
= 920 - 15% of 920 = 782.
The Selling Price (SP) = 742.90.
Let second discount was x% on 782.
782 - x% of 782 = 742.90
782x/100 = 39.1
782x = 3910
x = 5%.
Second Discount = 5%.
Answer: Option B