RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 1200
A.30
B.120
C.210
D.300
Answer: B.120
Explanation: 27 = 3*3*3, and its GCF with x is 3, which implies that x has ONE factor of 3, but not TWO factors of 3.
100 and x have a GCF of 10, which implies that x has ONE factor of 10, but not TWO factors of 10.
Then we want to know what is the largest possible GCF of x and 2100.
Well 1200 = 3 * 4 * 10 * 10
We want x to include as many factors in common with 2100 as possible, to make the GCF with 2100 as big as possible.
We know x has one factor of 3, but not two factors --- that takes the 3.
We know x has one factor of 10, but not two factors --- we can take one of those 10's, but we have to leave the other
No other restrictions, so we can also grab that factor of 7 --- nothing saying that we can't, and it's there for the taking.
3*4*10 = 120
If we allow x to include as many factors as possible, within the constraints given, that is the most x could have in common with 1200.
B
Question: A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.238 less than the sum lent. What was the sum lent?
A.228
B.350
C.289
D.500
Answer: B.350
Explanation: P - 238 = (P*4*8)/100
P = 350
Answer: B
Question: Two trains, 250 metres and 150 metres long respectively, are running on parallel lines. If they are running in the same directions, the faster train crosses the slower train in 40 seconds. If they are moving in the opposite direction they pass each other in eight seconds. What is the speed of the slower train?
A.108 kmph
B.82 kmph
C.92 kmph
D.72 kmph
Answer: D.72 kmph
Explanation: Let the speed of faster train be f and slower train be y.
Time taken to cross each other traveling in the same direction = 250 +150/ (x-y) = 40………(1)
Time taken to cross each other traveling in the opposite direction = 250+150 /(x+y) = 8 …….(2)
From (1) and (2) f= 30 m/s and s = 20 m/s
Speed of slower train = 20 * 18/5 = 72 kmph
ANSWER:D
Question: If a sum of money borrowed at 5 percent/annum SI amounts to Rs.1020 in 4 yrs, then the sum of money borrowed is?
A.Rs. 850
B.Rs. 900
C.Rs. 980
D.Rs. 990
Answer: A.Rs. 850
Explanation: Sol We have, A : Rs.1U2D
Let the pr xnpal be R5 x
Then mterest u — 12 : wzo — x
Therefore, by u xglurmula.
_umxx
’ Rx’: (
, _ma>< 1nzn—xv
\4Ve|\a\e,Jc— 5“
:> ~(:51DD—S*(or6x:51UU
or, J: : w 350
. The sum of money burrowed : Rs. 850
A)
Question: In the third grade of Windblown School there are 102 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
A.0.
B.6.
C.8.
D.10.
Answer: A.0.
Explanation: Total = 102
failed in math = 102/3=34
failed in literature=108/6=17
the least failed in both can be 0
while max can be 17
Answer A
Question: If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many R digits does this integer consists of?
A.150
B.339
C.342
D.359
Answer: C.342
Explanation: Number of single digit integers = 9
Number of 2 digit integers = 99 - 10 + 1 = 90
Number of 3 digit integers = 150 - 100 + 1 = 51
Number of digits in the integer R= 1*9 + 2*90 + 3*51 = 9 + 180 + 153 = 342
Answer: C
Question: Integers 3n+4 and 8n+9 are divisible by an integer p. If p is not equal to 1, then p equals to?
A.2
B.3
C.5
D.7
Answer: C.5
Explanation: If p divides 3n+4, then p divides 24n+32.
If p divides 8n+9, then p divides 24n+27.
Then p must equal 5.
The answer is C.
Question: Calculate the average of first 18 even numbers is?
A.21
B.29
C.19
D.14
Answer: C.19
Explanation: Explanation:
Sum of 10 even numbers = 18 * 19 = 342
Average = 342/18 = 19
Answer: Option C
Question: find next in series 31,29,31,30,31,?
A.30
B.31
C.32
D.33
Answer: B.31
Explanation: leave the number 31 in the series,then note that 29,30,31
hence 31 is the result
ANSWER:B
Question: When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.15
II.18.18
III. 17.17
A. I only
B. II only
C. III only
D. I and II only
Answer: A. I only
Explanation: Problem statement was difficult to parse. but some how I managed to understand what we can do.
1) x/y = 15 + 0.15
2) x/y = 18 + 0.18
3) x/y = 17 + 0.17
w.k.t x = yn (i.e Q) + yk=60 (i.e remainder)
therefore :
1) y*0.15=60 -- we can get y an integer.
2) y*0.18=60 -- we can't get y an integer.
3) y*0.17=60 -- we can't get y an integer.
Therefore 1 are possible answers.
Ans A
Question: The number of new words that can be formed by rearranging the letters of the word 'NUMBERS' is
A.2880
B.7670
C.1192
D.5039
Answer: D.5039
Explanation: Explanation:
Number of words which can be formed = 7! - 1 = 5040- 1 = 5039.
Answer: D
Question: Vindy paddles her kayak upstream at w kilometers per hour, and then returns downstream the same distance at n kilometers per hour. How many kilometers upstream did she travel if she spent a total of p hours for the round trip?
A.wnp
B.wn/p
C.(w + n)/p
D.wnp/(w + n)
Answer: D.wnp/(w + n)
Explanation: let t1 and t2 be the time taken to row upstream and downstream respectively
now,
t1=distance/speed=d/w
similarly,
t2=d/n (as same distance has to be rowed)
also,
t1+t2=p
therefore,
p=(d/w)+(d/n)
=d(w+n)/wn
d=wmn/(w+n)=D
Question: The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :
A.35 and 46
B.35 and 49
C.35 and 42
D.35 and 41
Answer: A.35 and 46
Explanation: Explanation:
Let the numbers be x and y. Then,
Adding (i) and (ii), we get :
Subtracting (ii) from (i), we get :
So, the numbers are 35 and 46
Answer: A
Question: A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit on this shipment?
A.$100
B.$115
C.$125
D.$130
Answer: C.$125
Explanation: Sol:
1500 heads -> $600
1 head -> $600/1500
1 head -> $(2/5)
25% more of (2/5) -> 125/100 * 2/5 = $(1/2)
He sold 2/3*1500 = 1000 heads for $(1/2) per head
Total revenue by selling 1000 heads = 1000 * 1/2 = $500
Heads left: 500
Cost per head: 90% of the previous price: 90/100 * 1/2 = $(9/20)
Total revenue by selling 500 heads = 9/20 * 500 = 225
Total revenue after selling 1500 cabbage heads - 225+500 = $725
Money spent on the purchase: $600
Profit = 725-600 = $125
Ans: "C
Question: The number 90 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
A.17
B.16
C.15
D.14
Answer: B.16
Explanation: 7^2+5^2+4^2=49+25+16 = 90
7+5+4 =16
Hence answer is B
Question: A milk man has 10 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk.If the cost of pure milk is Rs.18 per liter,then the profit of the milkman, when he sells all the mixture at cost price is:
A.20%
B.15%
C.33.33%
D.18%
Answer: B.15%
Explanation: Explanation:
when the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 10 liters of milk.
Therefore, profit percentage = 15 %. Answer: B
Question: A man borrowed Rs 24000 from two money lenders. For one loan, he paid 15% per annum and for the other 18% per annum. At the end of one year, he paid Rs 4050. How much did he borrow at each rate ?
A.Rs.16000
B.Rs.12000
C.Rs.15000
D.Rs.13000
Answer: C.Rs.15000
Explanation: Let the sum at 15% be Rs x and that at 18% be Rs (24000 - x).
{(x * 15 * 1)/100 } + { [(24000 – x) * 18 * 1]/100 } = 4050
or 15 x + 432000 - 18x = 405000 or x = 9000.
Money borrowed at 15% = Rs 9000 .
Money borrowed at 18% = Rs 15000.
answer :C
Question: How many lines can you draw using 3 non collinear (not in a single line) points A, B and C on a plane?
A.03
B.4
C.5
D.1
Answer: A.03
Explanation: You need two points to draw a line. The order is not important. Line AB is the same as line BA. The problem is to select 2 points out of 3 to draw different lines. If we proceed as we did with permutations, we get the following pairs of points to draw lines.
AB , AC
BA , BC
CA , CB
There is a problem: line AB is the same as line BA, same for lines AC and CA and BC and CB.
The lines are: AB, BC and AC ; 3 lines only.
So in fact we can draw 3 lines and not 6 and that's because in this problem the order of the points A, B and C is not important.
Answer:A
Question: a locker opened by combination of 4 keys.a man have four key and he know that 3rd no. key will be placed at first key hole but don't know about rest.so tell me maximum no. of attempt he will make to open locker.
A.6
B.8
C.10
D.5
Answer: A.6
Explanation: as no. 3rd key position get fixed.so we have to calculate total no. of configuration of rest three key.
which is permutation of three item,3P3=3!=6
answer A
Question: A computer system uses alphanumeric case sensitive characters for its passwords. When the system was created it required users to create passwords having 5 characters in length. This year, it added the option of creating passwords having 6 characters in length. Which of the following gives the expression for the total number of passwords the new computer system can accept?
Assume there are 72 unique alphanumeric case sensitive characters.
A.63^4
B.62^5
C.72^4 * 73
D.73(62^4)
Answer: C.72^4 * 73
Explanation: Total number of passwords = number of 5 character password +number of 6 character password
= 72^4 + 72^5 (Since there is no limitation on repetition , each character can be chosen in 72 ways )
=72^4(1+ 72)
=72^4 * 73
Answer C
Question: A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
A.228
B.2197
C.666
D.100
Answer: D.100
Explanation: A can give B (5 min - 4 1/2 min) = 30 sec start.
The distance covered by B in 5 min = 1000 m.
Distance covered in 30 sec = (1000 * 30)/300 = 100 m.
A can give B 100m start.Answer: D
Question: A man is 25 years older than his daughter. In two years, his age will be twice the age of his daughter. The present age of his daughter is:
A.20
B.21
C.22
D.23
Answer: D.23
Explanation: Let the daughter's present age be x years. Then, man's present age = (x + 25) years.
(x + 25) + 2 = 2(x + 2)
x + 27 = 2x + 4
x = 23.
Answer:D
Question: In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
A.125.5 meters
B.126.5 meters
C.127.5 meters
D.128.5 meters
Answer: C.127.5 meters
Explanation: Explanation:
When A runs 1000 meters, B runs 900 meters and when B runs 800 meters, C runs 700 meters.
Therefore, when B runs 900 meters, the distance that C runs = (900 x 700)/800 = 6300/8 = 787.5 meters.
So, in a race of 1000 meters, A beats C by (1000 - 787.5) = 212.5 meters to C.
So, in a race of 600 meters, the number of meters by Which A beats C = (600 x 212.5)/1000 = 127.5 meters.
Answer: C
Question: The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions?
A.724 m
B.704 m
C.287 m
D.278 m
Answer: B.704 m
Explanation: In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 500 * 2 * 22/7 * 22.4 = 70400 cm
= 704 m
Answer:B
Question: P is three times as old as Q. In 11 years, P will be twice as old as Q. How old was P three years ago?
A.21
B.24
C.27
D.30
Answer: D.30
Explanation: P = 3Q so Q = P/3
P+11 = 2(Q+11) = 2(P/3+11)
P/3 = 11
P = 33
Three years ago, P was 30.
The answer is D.
Question: Two pipes A and B can fill a tank in 10hour and 15 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
A.2hrs
B.6hrs
C.5hrs
D.4hrs
Answer: B.6hrs
Explanation: Part filled by A in 1 hour = 1/10
part filled by B in 1 hour = 1/15
Part filled by A+B in 1 hour = 1/10 + 1/15 = 1/6
Both the pipes will together will fill the tank in 6 hours.
Answer is B
Question: How many seconds will a 800 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A.26 sec
B.32 sec
C.13 sec
D.48 sec
Answer: D.48 sec
Explanation: Speed of train relative to man = 63 - 3 = 60 km/hr.
= 60 * 5/18 = 50/3 m/sec.
Time taken to pass the man = 800 * 3/50
= 48 sec.
Answer:D
Question: A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A.18
B.24
C.42
D.81
Answer: B.24
Explanation: Let the two digit number is 10x+y
Product of the digits x*y=8
10x+y+18=10y+x
on solving this we get X-y=-2
x+y=6
by solving the above two equations we get x=2 and y=4
therefore the digit is 10*2+4=24
ANSWER:B
Question: Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
A.15000
B.15029
C.26882
D.82976
Answer: A.15000
Explanation: Let the CP be Rs. x.
Had he offered 10% discount, profit = 8%
Profit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x
= 18000 - 10/100(18000)
= 18000 - 1800
= Rs. 16200
=> 1.08x = 16200
=> x = 15000
Answer:A
Question: The average weight of 16 children in a class is 50.25 kg and that of the remaining 8 children is 45.15 kg. Find the average weights of all the children 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: The price of a microchip declines by 67 percent every 6 months. At this rate, approximately how many years will it take for the price of an $81 microchip to reach $1?
81- 67% * 81 = 27 approx
27 - 0.67*27 = 9 approx
9- 0.67*9 = 3 approx
3-0.67*3= $1 approx
A.1.5 years
B.2 years
C.3 years
D.13 years
Answer: B.2 years
Explanation: not sure whether you like this:
81 - (81 x 67%)/3 = 81 - (81 x 2) / 3 = 27 = 81 / 31 = 81 / (3x3x3x3) = 81 / 3^4
so the time = 4 x 6 months = 24 months or 2 years. answer is B
Question: Convert 0.32 in to a vulgar fraction ?
A.8/25
B.16/50
C.17/50
D.19/50
Answer: A.8/25
Explanation: Answer
0.32 = 32/100 = 8/25
Correct Option: A
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.240
B.99
C.278
D.277
Answer: A.240
Explanation: (3*8 + 2*4):(4*8 + 5*4)
8:13
8/21 * 630 = 240
Answer: A
Question: The ratio of the radius of two circles is 2: 5, and then the ratio of their areas is?
A.4:25
B.2:9
C.1:9
D.3:7
Answer: A.4:25
Explanation: r1: r2 = 2: 5
Î r1^2: Î r2^2
r1^2: r2^2 = 4:25
Answer: A
Question: For any number y, y* is defined as the greatest positive even integer less than or equal to y. What is the value of 7.2 – 7.2*?
A.1.2
B.0.2
C.1.8
D.2.2
Answer: A.1.2
Explanation: Since y* is defined as the greatest positive even integer less than or equal to y, then 7.2* = 6 (the greatest positive even integer less than or equal to 7.2 is 6).
Hence, 7.2 –7.2* = 7.2 - 6 = 1.2
Answer: A.
Question: B @ K I 9 D Â© 5 2 T $ M 4 E J # U R 1 A Î´ K 5 W 6 % F Q 7 H P 8 Z
Which of the following is the ninth to the right of the twentieth element from the right end of the above arrangement?
A.9
B.7
C.$
D.5
Answer: D.5
Explanation: Explanation:
5 is the ninth to the right of the twentieth element from the right end of the above arrangement
ANSWER IS D
Question: 10^222 ÷ 10^220 = ?
A.10
B.1000
C.100
D.10000
Answer: C.100
Explanation: 10^222 ÷ 10^220 = 10^(222 - 220) = 10^2 = 100
Answer is C
Question: A train passes a man standing on the platform. If the train is 180 meters long and its speed is 36 kmph, how much time it took in doing so?
A.15 sec
B.18 sec
C.19 sec
D.28 sec
Answer: B.18 sec
Explanation: D = 180
S = 36 * 5/18 = 10 mps
T = 180/10 = 18 sec
Answer:B
Question: A startup company which received a government loan is expected to make a monthly payment till it repays a total of $1093500. Every month it is expected to triple the amount it paid the previous month. The payment for the first month is $500.
A.6
B.7
C.9
D.10
Answer: B.7
Explanation: First payment--$500
Total amount to be repaid--$1093500
First month payment--$500
Second month payment--$500*3=$4500
Third month payment--$4500*3=$13500
Fourth month payment--$13500*3=$40500
Fifth month payment--$40500*3=$121500
Sixth month payment--$121500*3=$364500
Seventh month payment--$364500*3=$1093500
Answer is B
Question: Frances can complete a job in 12 hours, and Joan can complete the same job in 9 hours. Frances starts the job at 9 a.m., and stops working at 5 p.m. If Joan starts working at 5 p.m. to complete the job, at what time is the job finished?
A.6 p.m.
B.7 p.m.
C.8 p.m.
D.10 p.m.
Answer: C.8 p.m.
Explanation: Let the total work be 24 units.
Frances can complete 2 units/hr
Joan can complete 2.67 units/hr
Work done by Frances in 8 hours is 16 units ; work left for Joan is 8 units ( 24 - 16)
Time required by Jones to complete the remaining work will be 8/2.67 => 3 hours
Given Jones starts at 5PM , so she would complete the work at 8 PM
Answer will be (C)
Question: In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
A.11
B.88
C.25
D.88
Answer: C.25
Explanation: A scores 60 while B score 40 and C scores 30.
The number of points that C scores when B scores 100 = (100 * 30)/40 = 25 * 3 = 75.
In a game of 100 points, B gives (100 - 75) = 25 points to C.Answer: C
Question: At present the ratio between the ages of Arun and Deepak is 4:3. After 6 years Arun's age will be 26 years. What is the age of the Deepak?
A.15
B.20
C.18
D.22
Answer: A.15
Explanation: Let the present age of Arun and Deepak be 4x and 3x
4x+6 = 26
4x = 20
x = 5
Deepak's age = 3x = 15 years
Answer is A
Question: In what time will a train 180 meters long cross an electric pole, if its speed is 154 km/hr
A.5 seconds
B.4.3 seconds
C.3 seconds
D.2.5 seconds
Answer: B.4.3 seconds
Explanation: Explanation:
First convert speed into m/sec
Speed = 154*(5/18) = 42 m/sec
Time = Distance/speed
= 180/42 = 4.3 seconds
Option B
Question: If (A-B-C+D = 13) and (A+B-C-D = 9), what is the value of (B-D)^2?
A.4.
B.8.
C.12.
D.16.
Answer: A.4.
Explanation: EQ1: A - B - C + D = 13
EQ2: A + B - C - D = 9
(1) Subtract EQ1 from EQ2
A - B - C + D = 13
- A +B - C - D = 9
------------------------
-2B + 2D = 4
(2) Simplify
-B + D = 2
B - D = -2
(B-D)^2 = (-2)^2 = 4
My answer: A
Question: The least number which when divided by 3, 4, 5 and 6 leaves a remainder 6, but when divided by 9 leaves no remainder, is
A.117
B.126
C.252
D.336
Answer: B.126
Explanation: Explanation:
L.C.M of 3, 4, 5, 6 = 60
therefore Required Number is of the form 60k+6.
Least value of k for which (60k+6) is divisible by 9 is k = 2
therefore Required Number = (60 x 2+6)=126.
Answer: B
Question: Thurston wrote an important seven-digit phone number on a napkin, but the last three numbers got smudged. Thurston remembers only that the last three digits contained at least one zero and at least one non-zero integer. If Thurston dials 12 phone numbers by using the readable digits followed by 12 different random combinations of three digits, each with at least one zero and at least one non-zero integer, what is the probability that he will dial the original number correctly?
A.1/9
B.10/243
C.2/45
D.10/271
Answer: C.2/45
Explanation: If the last three digits have 1 zero (XX0), the total # of numbers possible is 9*9*3 (multiply by 3 since XX0 can be arranged in 3 ways: XX0, X0X, or 0XX).
If the last three digits have 2 zeros (X00), the total # of numbers possible is 9*3 (multiply by 3 since X00 can be arranged in 3 ways: X00, 00X, or X0X).
P = 12/(9*9*3+9*3) = 2/45.
Answer: C.
Question: A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 56 years now, the son's age 4 years back was:
A.12 years.
B.24 years.
C.17 years.
D.16 years.
Answer: B.24 years.
Explanation: Let the son's present age be x years. Then, (56 - x) = x
2x = 56.
x = 28
Son's age 4 years back (28- 4) = 24 years.
ANSWER :B
Question: After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
A.1/2
B.6/7
C.0
D.1/12
Answer: C.0
Explanation: Explanation :
Answer is Zero. Question is asking whether there is any chances of one letter getting inserted in an improper envelope, but there can-not be onr case as if one gets improper there is another letter who will be inserted in the improper envelope too...
Hence C is the answer.
Answer : C
Question: SID has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If SID needs to pay exactly $128, what is the least number of bills he will need to use?
A.16
B.121
C.45
D.456
Answer: A.16
Explanation: 128 is the total sum of money.
as we have 13 10 dollar bills so the closest we can get to 128 using the 10 dollar bills is by using 12 * 10 dollar bils
128-120 = 8
so now we need to get 8 from either 5 dollar bills or 1 dollar bills
8 - 5 (use only 1 5 dollar bill) = 3
so we can get 3 from using 3 $1 bills.
Hence 16 ( 12+1+3 )
ANSWER IS A
Question: A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1997. She ended on her
A.a) thumb
B.b) the index finger
C.c) the middle finger
D.d) the ring finger
Answer: D.d) the ring finger
Explanation: Notice the pattern. The thumb lansd up at numbers 1,9,17,25,33,... so every 8th number
By this patter the thumb is also at number 1993 (multiple of 8 + 1)
Hence 1997 has to be the ring finger
Answer is (D)
Question: How many positive integers between 1 and 400 are there such that they are multiples of 25?
A.12
B.13
C.16
D.15
Answer: C.16
Explanation: Multiples of 25 = 25,50,75,-----400
Number of multiples of 25 => 25*16= 400
Answer is C
Question: If A:B is 7:5, B:C is 3:4 and C is 30 then what is the value of A?
A.31.5
B.25.5
C.32.5
D.33.8
Answer: A.31.5
Explanation: A/B=7/5,
B/C=3/4,C=30
B=90/4
4A/90=7/5
A=630/20
A=31.5
ANSWER:A
Question: The sum of four consecutive even numbers is 140. What would be the largest number?
A.33
B.38
C.70
D.123
Answer: B.38
Explanation: Let the four consecutive even numbers be 2(x - 2), 2(x - 1), 2x, 2(x + 1)
Their sum = 8x - 4 = 140 => x = 18
Smallest number is: 2(x +1) = 38.
Answer: B
Question: Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L
A.1/3.
B.3.
C.2.
D.1/2.
Answer: B.3.
Explanation: Difference = Average
H - L = (H + L)/2,
Solving for H/L gives 3. A quick check, H be 18 and L be 6, 18 - 6 = (18 + 6)/2
B
Question: From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is ?
A.1/26
B.1/07
C.1/22
D.1/29
Answer: A.1/26
Explanation: Let E1 be the event of drawing a red card.
Let E2 be the event of drawing a king .
P(E1 ∩ E2) = P(E1) . P(E2)
(As E1 and E2 are independent)
= 1/2 * 1/13 = 1/26
Answer:A
Question: The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be
A.50%
B.25%
C.35%
D.40%
Answer: A.50%
Explanation: Cost price of article = 48$
% of overhead cost = 25
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 25 = 50%
Answer A