RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: The L.C.M. of two numbers is 30. The numbers are in the ratio 2 : 3. Then sum of the number is:
A.25
B.32
C.40
D.53
Answer: A.25
Explanation: Let the numbers be 2x and 3x.
Then, their L.C.M. = 6x.
So, 6x = 30 or x = 5.
The numbers are 10 and 15.
Hence, required sum = (10 + 15) = 25.
Answer: Option A
Question: A train running at the speed of 36 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.120 metres
B.180 metres
C.324 metres
D.90 metres
Answer: D.90 metres
Explanation: Speed=36x5/18m/sec=30/3	m/sec.
Length of the train = (Speed x Time).
Length of the train =	30/3	x 9m = 90 m.
ANSWER:D
Question: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 125 mangoes.
A.360
B.380
C.400
D.416
Answer: D.416
Explanation: Mr. John used to purchase certain number of mangoes for $360 Since the price of mangoes is reduced by 10% he got 12 more mangoes today. Find the original price of 120 mangoes.
Method 1:
Let price per mango = x. Let number of mangoes be n. Then, nx = 360.
Now price = 0.9x; number of mangoes = n + 12. Total amount = 0.9x*(n+12) = 360.
nx = 0.9nx + 10.8x => 0.1nx = 10.8x => n = 108 => x = 360/108 = 3.33
Original price of 125 mangoes = 125*3.33 = 416.
Answer D
Question: A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train.
A.200/3m
B.100m
C.50m
D.100/3
Answer: A.200/3m
Explanation: A train running at 25 km/hr takes 18 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
Distance = Speed*time
The man is moving forward at a speed of 5km/h while the train is moving forward at a speed of 25km/h. Therefore, the train is moving past the man at a total speed of 20km/h.
distance = speed * time
distance = 20km/h * 12 seconds
distance (length of train) = 66.6 m
ANSWER: A) 200/3m
Question: 45 x ? = 10% of 900
A.2
B.4
C.5
D.500
Answer: A.2
Explanation: Answer
Let 45 x A = (10 x 900)/100
∴ A = (10 x 9)/45 = 2
Correct Option: A
Question: Three table runners have a combined area of 208 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
A. 22 square inches
B. 20 square inches
C. 24 square inches
D. 28 square inches
Answer: A. 22 square inches
Explanation: Total = a + b + c - (sum of EXACTLY 2-group overlaps) - 2*(all three) + Neither
80%*175 = 208 - 24 - 2*(all three) + 0
2*(all three) = 208 - 24 - 140
all three = 22
Answer: A
Question: If f is a function defined for all k by f(k) = k^5/16, what is f((6/4)*k) in terms of f(k)?
A.1/8 f(k)
B.7.6 f(k)
C.2 f(k)
D.10 f(k)
Answer: B.7.6 f(k)
Explanation: f(k) = k^5/16
f((6/4)*k) = ((6/4)*k)^5/16 = 7.6 * (k^5/16) = 7.6 (k^5/16) = 7.6 f(k).
So answer is B.
Question: George's car calls for 8 ounces of oil for each cylinder used. His car's engine has 6 cylinders. If 16 ounces of oil has already been put into the engine used, then how many additional ounces of oil are needed?
A.16
B.48
C.64
D.32
Answer: D.32
Explanation: Number of ounces per cylinder 8
Number of cylinders 6
Ounces needed 48
Ounces used 16
Answer D
Question: The jogging track in a sports complex is 726 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
A.4.9 min
B.5.28 min
C.5.5 min
D.6 min
Answer: B.5.28 min
Explanation: Clearly, the two will meet when they are 726 m apart.
To be (4.5 + 3.75) = 8.25 km apart, they take 1 hour.
To be 726 m apart, they take (100/825 * 726/1000) hrs = (242/2750 * 60) min = 5.28 min.
ANSWER:B
Question: In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = -13?
A.-13
B.7
C.13
D.14
Answer: C.13
Explanation: We know that t1 = 23
So, using the given formula we have:
t1=(t1-1) -3 =23
t0 - 3 = 23
t0= 26
The same way we find that t2= 20
It seems that the sequence goes like this:
t0 = 26
t1 = 23
t2 = 20
t3 = 17
t4 = 14
t5 = 11
t6 = 8
t7 = 5
t8 = 2
t9 = -1
t10 = -4
t11 = -7
t12 = -10
t13 = -13
So, ourANS is C.
Question: In 1979 approximately 1/3 of the 32.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was 1/2 the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
A. 18.6
B. 9.3
C. 6.2
D. 1.33
Answer: D. 1.33
Explanation: number of
passengers using Kennedy airport = 32/3 =~10.67
Passengers using Miami airport = 10.67/2=~5.34
passengers using logan airport = 5.34/4 =~1.33
so D
Question: Of the teams competing in the world archery championships, 10 percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
A.13/20
B.15/20
C.13/15
D.16/20
Answer: D.16/20
Explanation: Assume 100 total people.
10% of 100 = 10 --->Europeans
1/2 of 10 ---> 5 Americans
1/20 of 100 ---> 5 Africans
Now you would add them all up, and minus it by the total (100). 100 - 20= 80. So, 80 people out of 100 are not EU, US or Africans. 80/100 is also equal to 16/20.
So therefore, the answer is D
Question: Diane sold a book worth $ 850 at a loss of $ 180. Find the selling price of the book.
A.$ 670
B.$ 680
C.$ 600
D.$ 700
Answer: A.$ 670
Explanation: Cost Price = $ 850
Loss = $ 180
Since, Selling Price = Cost Price + Loss
Selling Price = 850 - 180
= $670
Therefore, selling price of the book = $ 670
Answers: A
Question: X, 1320 , 1070 , -180, -6430
A.1370
B.6530
C.6630
D.6730
Answer: A.1370
Explanation: 1370-50*(5^0)=1320
1320-50*(5^1)=1070
1070-50*(5^2)=-180
-180-50*(5^3)=-6430
ANSWER:A.
Question: A and B are two multiples of 36, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 9 multiples of 9, how many multiples of 4 are there in Q?
A.18
B.19
C.20
D.21
Answer: B.19
Explanation: Now given that Q is set the consecutive integers between A and B.
and Q contains 9 multiples of 9
Let take A as 36.
then 36 45 54 63 72 81 90 99 108...So B will 108.
Now let's check the multiples of 4 among this set
108 - 36 / 4 + 1 => 18 + 1 => 19
ANS option B.
Question: Jim drove 384 miles of a 1200 miles journey. How many more miles does he need to drive to finish his journey?
A.113 miles
B.432 miles
C.456miles
D.816 miles
Answer: D.816 miles
Explanation: The number of miles to drive to finish his journey is given by
1200 - 384 = 816 miles
correct answer D
Question: A big container is 40% full with water. If 14 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
A.32
B.36
C.40
D.44
Answer: C.40
Explanation: 14 liters is 35% of the capacity C.
14 = 0.35C
C = 14/0.35 = 40 liters.
The answer is C.
Question: P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
A.11
B.12
C.13
D.14
Answer: C.13
Explanation: Work done by P in 1 day = 1/23
Let work done by Q in 1 day = q
q × (130/100) = 1/23
=> q = 100/(23×130) = 10/(23×13)
Work done by P and Q in 1 day = 1/23 + 10/(23×13) = 23/(23×13)= 1/13
=> P and Q together can do the work in 13 days
Answer is C.
Question: Dimitri weighs 3x-2x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen’s weight?
A.y - x/2
B.2x - y/2
C.(y - x)/2
D.y - 2x
Answer: C.(y - x)/2
Explanation: These type of multi-variable story problems are usually perfect for TESTing VALUES.
Here, we're told that Dimitri weighs 3X-2X or X pounds more than Allen weighs and that they weight a combined TOTAL of Y pounds.
IF....
Dimitri = 30
Allen = 20
X = 10
Y = 50
We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.
Answer A: 50 - (10/2) = 45 NOT a match
Answer B: 20 - (50/2) = -5 NOT a match
Answer C: (50-10)/2 = 20 This IS a match
Answer D: 50 - 20 = 30 NOT a match
Answer E: 20 - 50 = -30 NOT a match
Final Answer:
C
Question: The ratio of radius of a circle and the side of a square is 2 : 9. Find the ratio of their areas:
A.2 : 1
B.4 : 7
C.8 : 77
D.4 : 81
Answer: D.4 : 81
Explanation: radius/side = 2/9
â‡’ area of circle/area of square= 4/81
Answer: D
Question: Two trains are approaching each other at 60 mph each. The length of each train is 1/6 miles. When the two locomotives(engines) meet, how many seconds will it take for them to pass each other completely?
A.8 sec
B.11 sec
C.12 sec
D.10 sec
Answer: D.10 sec
Explanation: total distance to cover= 2*(1/6)=2/6 miles
relative speed = 60+60 = 120mph
time taken= (2/6)/120*3600 = 10 sec.
ANSWER:D
Question: The below sequence is a bit tricky. Can you solve it to find the next number?
6, 26, 326, 4326, ?
A.54326
B.38291
C.54325
D.38290
Answer: A.54326
Explanation: See the pattern. With every digit, the previous numbers are added after that digit
So the next number in the series is 54326
Answer : A
Question: There are some passengers riding on a bus. At the first stop, half the passengers get off and nobody gets on the bus. This pattern continues as the bus goes to the next stops. If only one passenger gets off at stop number 6, how many passengers were on the bus originally?
A.128
B.64
C.32
D.16
Answer: B.64
Explanation: Before stop 6, there were 2 passengers on the bus.
Before stop 5, there were 4 passengers on the bus.
etc...
Before stop x, there were 2^(7-x) passengers on the bus.
Before stop 1, there were 2^6 = 64 passengers on the bus.
The answer is B.
Question: The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.
A.150
B.174
C.180
D.166
Answer: B.174
Explanation: Explanation:
Total runs scored by the player in 40 innings = 40 × 50
Total runs scored by the player in 38 innings after excluding two innings = 38 × 48
Sum of the scores of the excluded innings = 40 × 50 - 38 × 48 = 2000 - 1824 = 176
Given that the scores of the excluded innings differ by 172. Hence let's take
the highest score as x + 172 and lowest score as x
Now x + 172 + x = 176
=> 2x = 4
=> x =4/2= 2
Highest score = x + 172 = 2 + 172 = 174
Answer: Option B
Question: What will be the product of (25-1)*(25-2)*(25-3)*..............*(25-39)*(25-40)?
A.0
B.1
C.25
D.less than -100,000
Answer: A.0
Explanation: One of the terms is (25-25) so the product is 0.
The answer is A.
Question: The average of 10 numbers is 23. If each number is increased by 3, what will the new average be?
A.36
B.26
C.72
D.29
Answer: B.26
Explanation: Sum of the 10 numbers = 230
If each number is increased by 3, the total increase =
3 * 10 = 40
The new sum = 230 + 30 = 260 The new average = 260/10
= 26.
Answer:B
Question: If h is a positive integer, and if the units' digit of h^2 is 4 and the units' digit of (h + 1)^2 is 1, what is the units' digit of (h + 2)^2 ?
A.	0
B.	2
C.	4
D.	6
Answer: A.	0
Explanation: A for me.
_1² = _1
_2² = _4
_3² = _9
_4² = _6
_5² = _5
_6² = _6
_7² = _9
_8² = _4
_9² = _1
_0² = _0
On the list, the only number that squared has the units digit = 4 preceding a number that squared has the units digit = 1 is the _8.
So, h = _8, that has square 4. The next square is 1 andnext nextsquare is 0.
Question: Logx16=0.8 then what is the value of x ?
A.32
B.34
C.35
D.36
Answer: A.32
Explanation: x^0.8=16
x=(2^4)^(10/8)
x=2^5
x=32
ANSWER:A
Question: JOHN and ANDREW can finish the work 9 days if they work together. They worked together for 6 days and then ANDREW left. JOHN finished the remaining work in another 6 days. In how many days JOHN alone can finish the work?
A.30 days
B.60 days
C.18 days
D.80 days
Answer: C.18 days
Explanation: Amount of work done by JOHN and ANDREW in 1 day = 1/9
Amount of work done by JOHN and ANDREW in 6 days = 6 Ã— (1/9) = 2/3
Remaining work â€“ 1 â€“ 2/3 = 1/3
JOHN completes 1/3 work in 6 days
Amount of work JOHN can do in 1 day = (1/3)/6 = 1/18
=> JOHN can complete the work in 18 days
Answer : C
Question: A man can row 7 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man?
A.6.24 km
B.6 km
C.6.79 km
D.5.66 km
Answer: C.6.79 km
Explanation: M = 7
S = 1.2
DS = 8.2
US = 5.8
x/8.2 + x/5.8 = 1
x = 3.40
D = 3.40 * 2 = 6.79
ANSWER:C
Question: The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.
A.400 square meters
B.4000 square meters
C.20 square meters
D.2000 square meters
Answer: B.4000 square meters
Explanation: Solution
If the ratio of the length to the width is 5:2, then the measure L of the length and and the measure W of the with can be written as
L = 5x and W = 2x
We now use the perimeter to write
280 = 2(2L + 2W) = 2(5x + 2x) = 14x
Solve for x
280 = 14x
x = 280 / 14 = 20
The area A of the rectangle is given by
A = L × W = 5x × 2x = 10x^2 = 10×20^2 = 4000 square meters
ANSWER IS B
Question: A sum of Rs.1440 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
A.8B, 5G
B.7B, 6G
C.4B, 9G
D.9B, 4G
Answer: B.7B, 6G
Explanation: 120B+100G=1460-----i
B+G=13-------ii
from i
100B+20B+100G=1440
100(B+G)+20B=1440
100(13)+20B=1440
By simplifing we get
B=7;G=6
ANSWER:B
Question: Ages of two persons differ by 18 years. If 4 years ago, the elder one was 4 times as old the younger one, find their present age
A.6,24
B.9,27
C.10,28
D.18,36
Answer: C.10,28
Explanation: Explanation:
Let the age of younger person be x,
Then elder person's age is (x+18)
=> 4(x-4) = (x+18-4) [4 years before]
=> 4x-16 = x+14
=> x = 10.
So elder person's age is x + 18 = 28
Answer: Option C
Question: For which of the following does h(a)−h(b)=h(a−b) for all values of a and b?
A.h(x)=x^2
B.h(x)=x/2
C.h(x)=x+5
D.h(x)=2x−1
Answer: B.h(x)=x/2
Explanation: To solve this easiest way is just put the value and see that if it equals or not.
with option 1. h(a) = a^2 and h(b) = b^2
so L.H.S = a^2 - b^2
and R.H.S = (a-b)^2 ==> a^2 + b^2 -2ab.
so L.H.S not equal to R.H.S
with option 2. h(a) = a/2 and h(b) = b/2
L.H.S = a/2 - b/2 ==> 1/2(a-b)
R.H.S = (a-b)/2
so L.H.S = R.H.S which is the correct answer.
answer:B
Question: There were two candidates in an election. Winner candidate received 65% of votes and won the election by 300 votes. Find the number of votes casted to the winning candidate?
A.228
B.744
C.255
D.650
Answer: D.650
Explanation: W = 65% L = 35%
65% - 35% = 30%
30% -------- 300
65% -------- ? => 650
Answer:D
Question: If twice of a number divided by 3d gives 20 as the remainder, and five times of the same number gives 32 as the remainder. What will be the value of d?
A.11
B.12
C.15
D.14
Answer: B.12
Explanation: ReMainder in second case is,32. So,3d>=33.
So, minimum value of d should 11.
If number =28.
double of number=56 and take d=12 so 56/36 ReMainder=20.
Now 5times of number=140.
So 140/36 ReMainder=32.
That is,3d=36 satisfy the conditions.
So d=12.
ANSWER:B
Question: If x represents the sum of the interior angles of a triangle and y represents the sum of the interior angles of a regular pentagon, then the difference between x and y is equal to the sum of the interior angles of what geometric shape?
A.Circle
B.Square
C.Rhombus
D.Trapezoid
Answer: A.Circle
Explanation: Sum of angles of triangle = 180*(3-2) = 180 => using formula sum of interior angles of polygon = 180*(n-2) where n is the number of sides in a polygon
Sum of angles in Pentagon = 180*(5-2) =540
Difference =540 - 180= 360 => Cirlcle
hence (A).
Question: If k is an integer and 121 < k^2 < 225, then k can have at most how many values?
A.3
B.4
C.5
D.6
Answer: D.6
Explanation: given k is an integer
121 < k^2 < 225
11 < | k| < 15
K=-12,-13,-14,12,13,14
ANSWER:D
Question: If each term in the sum a1+ a2+a3+.....+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?
A.38
B.39
C.40
D.41
Answer: C.40
Explanation: For example: as units digit of 350 is zero then # of terms must be multiple of 10. Only answer choice which is multiple of 10 is C (40).
To illustrate consider adding:
*7
*7
...
77
77
----
=350
So, several 7's and several 77's, note that the # of rows equals to the # of terms. Now, to get 0 for the units digit of the sum the # of rows (# of terms) must be multiple of 10. Only answer choice which is multiple of 10 is C (40).
Answer: C.
Question: If C.P. of 23 books is equal to S.P of 30 books , then your gain or loss is ?
A.23 1/3 gain %
B.30 10/23 loss %
C.23 1/3 loss %
D.30 1/3 loss %
Answer: C.23 1/3 loss %
Explanation: Say the cost price of 23 books is $23 so $1 for a book.
The cost of 30 books would be $30, and the selling price of 30 books would be 23$, hence the loss = ($30 - $23)/$30 = ~23.3%.
Answer: C.
Question: A sales staff is composed of a sales manager and two sales people, all of whom earn commission as a percentage of sales. Each sales person earns 5% commission on sales. In a given week, the sales staff earned a total of $1,750 in commissions on $5,000 worth of sales. What commission rate did the sales manager earn during that week?
A.25%
B.30%
C.35%
D.40%
Answer: A.25%
Explanation: Let managers commission rate be M.
m*5000+ 2*0.05*5000=1750
5000*m=1250
m=25/100=25%
ANSWER:A
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.200 m
B.700 m
C.800 m
D.100 m
Answer: D.100 m
Explanation: 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 person is saving money to purchase a car. He earns Â£4000 per month and saves Â£500 to buy the car. If he needs Â£45000 to buy his dream car. How much money he will earn, before he saves enough money to buy the car?
A.A - 352000
B.B - 356000
C.C - 360000
D.D - 348000
Answer: C.C - 360000
Explanation: He is saving Â£500 per month. He needs Â£45000 and it takes Â£45000/Â£500 = 90 months to save the money.
In 90 months, he earns 90*Â£4000 = Â£36000.
Answer: C
Question: The average of 7 results is 45. The average of first three results is 47 and average of last three results is 42. What is the fourth result?
A.48
B.47
C.44
D.46
Answer: A.48
Explanation: Explanation:
Total of results = 45 * 7 = 315
Total of first three results = 3* 47 = 141
Total of last three results = 3* 42 = 126
Fourth result = 315 - (141 + 126) = 48
Answer: Option A
Question: Solve for x and check: - 12x = 72
A.-4
B.-2
C.-6
D.-12
Answer: C.-6
Explanation: Solution : Dividing each side by -12, we obtain
(-12x/-12)=(72/-12)
Therefore : x=-6
Check :
-12x=72
(-12*-6)=72
72=72
ANSWER : C
Question: A can do a work in 2 days. B can do the same work in 3days. Both A&B together will finish the work and they got $500 from that work. Find their shares?
A.100,200
B.400,100
C.300,150
D.300,200
Answer: D.300,200
Explanation: Ratio of their works A:B = 2:3
Ratio of their wages A:B = 3:2
A's share = (3/5)500 = 300
B's share = (2/5)500 = 200
correct option is D
Question: In an exam, W scored 60 percent, X scored 100 percent and Y 80 percent. The maximum score awarded in the exam is 1000. Find the average mark scored by all the three candidates?
A.700
B.800
C.900
D.1000
Answer: B.800
Explanation: Average mark scored by all the three boys
= [60/100 (1000) + 100/100 (1000) + 80/100 (1000)] / 3
= 800
Answer: B
Question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
A.388
B.367
C.367
D.150
Answer: D.150
Explanation: Speed=(60 * 5/18) m/sec = (50/3) m/sec Length of the train
= (Speed x Time)
= (50/3 * 9) m
= 150 m.
Answer:D
Question: A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
A.165 ways
B.166 ways
C.665 ways
D.256 ways
Answer: A.165 ways
Explanation: Total number of persons in the committee
= 5 + 6 = 11
Number of ways of selecting group of eight persons
= 11C8 = 11C3 = (11 * 10 * 9)/(3 * 2)
= 165 ways.
Answer: A
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 20% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
A. 36%
B. 60%
C. 96%
D. 80%
Answer: C. 96%
Explanation: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.2*0.2 = 0.04. So, the probability that he will be able to attend is 1 - 0.04 = 0.96.
Answer: C.
Question: Sum of a rational number and its reciprocal is 13/6. Find the number
A.2
B.3/2
C.4/2
D.5/2
Answer: B.3/2
Explanation: Explanation:
=>x+1/x=13/6
=>x2+1/x=13/6
=>6x2−13x+6=0
=>6x2−9x−4x+6=0
=>(3x−2)(2x−3)
=>x=2/3or3/2
Option B
Question: We have 4 people and 1 chairs. In how many ways chairs can be occupy?
A.72
B.86
C.24
D.14
Answer: C.24
Explanation: no. of ways they can be occupy = 4*3*2*1 = 24
Answer is C
Question: The digit in the units place of a number is equal to the digit in the tens place of half of that number and the digit in the tens place of that number is less than the digit in units place of half of the number by 1. If the sum of the digits of the number is seven, then what is the number?
A.52
B.16
C.34
D.Data inadequate
Answer: A.52
Explanation: Let ½ of the no. = 10x + y
and the no. = 10V + W From the given conditions,
W = x and V = y – 1
Thus the no. = 10(y – 1) + x…..(A)
∴ 2(10x + y) = 10(y – 1) + x ⇒ 8y – 19x = 10…(i)
Again, from the question,
V + W = 7 ⇒ y – 1 + x = 7
∴ x + y = 8 …(ii)
Solving equations (i) and (ii), we get x = 2 and y = 6.
∴ From equation (A), Number = 10(y – 1) + x = 52
Answer A
Question: A box contains one dozen donuts. Four of the donuts are chocolate, four are glazed, and four are jelly. If two donuts are randomly selected from the box, one after the other, what is the probability that both will be jelly donuts?
A.1/11
B.1/9
C.1/3
D.2/3
Answer: A.1/11
Explanation: Prob. of getting the first Jelly - 4/124
Since there has been no replacement, the number of donuts will decrease in second case
Prob of getting the second Jelly - 3/11
Combined Prob. - 4/12∗3/11=1/11
Ans A
Question: A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A.5/5
B.5/9
C.5/8
D.5/1
Answer: B.5/9
Explanation: Two balls can be picked from nine balls in ⁹C₂ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done ⁵C₁ . ⁴C₁ ways.
The required probability
= (5 * 4)/9C2 = 20/36 = 5/9
Answer: B
Question: The National Gross Product (NGP) of Andalasia had decreased by 25 percent. Due to the ongoing war with Actasia, the NGP has decreased by an additional 10 percent. By approximately what percent would the NGP now have to be increased in order to restore it to its original amount?
A.32.5%
B.35%
C.48%
D.65%
Answer: C.48%
Explanation: Original NGP = x
NGP after 25% decrease = 0.75x
NGP after another 10% decrease = 0.675x
To restore the NGP to x the percentage increase has to be (0.325x * 100) /(0.675x) = Value slightly less than 50% = 48%
Answer: C
Question: In a shop 40% of the articles are sold at a profit of 30% and the remaining at a loss of 15%.what is the overall profit/loss?
A.6% loss
B.2% loss
C.10% profit
D.3% profit
Answer: D.3% profit
Explanation: 40*1.3+60*0.85/100=1.03
ANSWER:D