RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,90,000 as total savings, how much has he saved in Public Provident Fund ?
A.80000
B.60000
C.50000
D.76000
Answer: D.76000
Explanation: Let savings in N.S.C and P.P.F. be Rs. x and Rs. (190000 - x) respectively. Then,
=1/3 x = 1/2 (190000 - x)
=x/3 + x/2 = 95000
=5x/6 = 95000
=x = 95000 x 6 /5	= 114000
Savings in Public Provident Fund = Rs. (190000 - 114000) = Rs. 76000
Answer is D
Question: In how many different number of ways 5 men and 3 women can sit on a shopa which can accommodate persons?
A.A)160
B.B)6720
C.C)6570
D.D)210
Answer: B.B)6720
Explanation: 8p2 =8 x 7 × 6 × 5 x4 =6720
Option 'B'
Question: The list price of an article is Rs.66. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
A.3.45%
B.4.45%
C.5.45%
D.6.45%
Answer: C.5.45%
Explanation: 66*(90/100)*((100-x)/100) = 56.16
x = 5.45%
ANSWER:C
Question: A shopkeeper buys two articles for Rs.1000 each and then sells them, making 30% profit on the first article and 30% loss on second article. Find the net profit or loss percent?
A.200
B.768
C.276
D.300
Answer: D.300
Explanation: Profit on first article = 30% of 1000 = 300.
This is equal to the loss he makes on the second article. That, is he makes neither profit nor loss.
Answer: D
Question: Excluding the stoppages, the speed of a bus is 12 km/hr and including the stoppages the speed of the bus is 6 km/hr. For how many minutes does the bus stop per hour?
A.15 min
B.30 min
C.12 min
D.20 min
Answer: B.30 min
Explanation: Speed of the bus without stoppage=12 km/hr
Speed of the bus with stoppage=6 km/hr
Difference in speed=6 km/hr
so,the time taken in the stoppages = time taken to cover 6 km=(6/12)hr = 1/2 hr =30 min
ANSWER:B
Question: A square is of side 1 km. A man travels first 2 sides with the 30 mph and third side with 60 kmph. What is the speed that man has to travel the fourth side if the average speed is 60 kmph
A.100 Kmph
B.110 Kmph
C.120 Kmph
D.130 Kmph
Answer: C.120 Kmph
Explanation: 1 Mile= 1.6 Km
Total time taken to travel 3 sides =(1/48)+(1/48)+(1/60)= 7/120 hr
time taken to travel 4 sides at avg speed= 1/15 hr
So, reqred speed for fourth side= 1/{(1/15)-(7/120)}= 120 Kmph
ANSWER:C
Question: A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is
A.250
B.276
C.280
D.285
Answer: D.285
Explanation: Sol.
Since the month begins with a Sunday, so there will be five Sundays in the month.
∴ Required average = [510 x 5 + 240 x 25 / 30] = 8550 / 30 = 285
Answer D
Question: How many prime numbers between 1 and 100 are factors of 143?
A.6
B.5
C.4
D.2
Answer: D.2
Explanation: factor of 143= 11*13--- 2 prime numbers
D
Question: Solve below question
y : 6y - 27 + 3y = 4 + 9 - y
A.2
B.4
C.6
D.7
Answer: B.4
Explanation: 9 y + y = 13 + 27
10 y = 40 => y = 4
B
Question: The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
A.29
B.10
C.28
D.20
Answer: B.10
Explanation: 7*5: 5*x = 7:10
x = 10
Answer: B
Question: what is the area of a circle having the same perimeter as that of a square whose area is 121.
A.306
B.307
C.308
D.309
Answer: C.308
Explanation: side of the square=sqrt(12)=11
perimeter of the square=44
2*pie*r=44
r=44/2*pie
area of the circle=pie*r^2=308
ANSWER:C
Question: A password for a computer uses five digits from 0 to 9, inclusive. What is the probability that the digits of the password solely consist of prime numbers or zero?
A.A)1/32
B.B)1/16
C.C)1/8
D.D)2/5
Answer: A.A)1/32
Explanation: Favorable outcomes will be obtained by making Password using {0, 2, 3, 5, 7} i.e. 5 digits
Total Such Passwords = 5*5*5*5*5 = 5^5
Total Possible Password = 10*10*10*10*10 = 10^5
Probability = (5^5) / (10^5) = 1/2^5 = 1/32
Answer: option A
Question: A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
A.8 1/6 sec
B.8 1/9 sec
C.8 2/2 sec
D.8 1/2 sec
Answer: D.8 1/2 sec
Explanation: D = 170
S = 72 * 5/18 = 20 mps
T = 170/20 = 8 1/2 sec
Answer: D
Question: Erik's mother gave him $86 to go to the store. Erik bought 3 loaves of bread and 3 cartons of orange juice. Each loaf of bread cost $3 and each carton of orange juice cost $6. How much money does Erik have left?
A.$24
B.$27
C.$59
D.$75
Answer: C.$59
Explanation: Step 1: Find the cost of the loaves of bread.
3 × $3 = $9
Step 2: Find the cost of the orange juice.
3 × $6 = $18
Step 3: Find the total cost of the groceries.
$9 + $18 = $27
Step 4: Find the amount of money left.
$86 – $27 = $59
Erik has $59 left.
Answer is C.
Question: A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
A.9 1/5 days
B.9 2/5 days
C.9 3/5 days
D.10
Answer: C.9 3/5 days
Explanation: Explanation:
(A + B + C)'s 1 day's work =	1/4
A's 1 day's work =	1/16
B's 1 day's work =	1/12
C's 1 day's work =	1/4-(1/16+1/12)=5/48
So, C alone can do the work in	48/5=9 3/5 days
ANSWER IS C
Question: If x and y are integers such that |y + 3| ≤ 3 and 2y – 3x + 6 = 0, what is the least possible value E of the product xy?
A.	-12
B.	-3
C.	0
D.	2
Answer: C.	0
Explanation: How to deal with inequalities involving absolute values? First example shows us the so callednumber case
In this case we have |y + 3| ≤ 3 which is generalized |something| ≤ some number. First we solve as if there were no absolute value brackets:
y + 3 ≤ 3
y ≤ 0
So y is 0 or negative
Second scenario - remove the absolute value brackets. Put a negative sign around the other side of the inequality,ANDflip the sign:
y + 3 >= -3
y >= -6
Therefore we have a possible range for y: -6=<y<=0
Ok, so far so good, we're half way through. What about x?
Here's the formula: 2y – 3x + 6 = 0, rewrite it as 2y + 6 = 3x.
You can say that 2y + 6 is a multiple of 3 (=3x). So all values which must be integer must also satisfy this constraint. I'm just saying that, so it's easier to evaluate all the possible numbers (-6, -3, 0). If you plug in y = 0, x will be 2 and xy = 0 as the lowest possible value E.
Hence, Answer Choice C is the one to go.
Question: Look at this series 8, 22, 8, 28, 8, ... What number should come next?
A.34
B.8
C.12
D.44
Answer: A.34
Explanation: simple addition series with a random number, 8 - interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.
ANSWER A
Question: 2+2+2²+2³ ... +2^11
A.2^9
B.2^10
C.2^16
D.2^12
Answer: D.2^12
Explanation: 2+2=2^2
2^2+2^2=(2^2)*(1+1)=2^3
2^3+2^3=(2^3)*(1+1)=2^4
so you can notice the pattern... in the end you will have 2^11+2^11, which will give you 2^12
Answer D
Question: One fourth of one third of two fifth of a number is 30. What will be40% of that number
A.A)360
B.B)150
C.C)180
D.D)200
Answer: A.A)360
Explanation: Explanation:
(1/4) * (1/3) * (2/5) * x = 30
then x = 30 * 30 = 900
40% of 900 = 360
Answer: Option A
Question: 30 square stone slabs of equal size were needed to cover a floor area of 67.5 sq.m. Find the length of each stone slab?
A.150cm
B.767cm
C.88cm
D.666cm
Answer: A.150cm
Explanation: Area of each slab
=67.5/30m2=2.25m2
Length of each slab √2.25=1.5m=150cm
Question: If a = 105 and a^3= 21 * 25 * 15 * b, what is the value of b?
A.35
B.42
C.45
D.147
Answer: D.147
Explanation: First step will be to break down all the numbers into their prime factors.
105 = 3 * 5 * 7
21 = 7 * 3
25 = 5 * 5
15 = 3 * 5
so, (105)^3 = 3 * 7 * 5 * 5 *3 *5 *b
Therefore (3 * 5 * 7) ^ 3 = 3^2 * 5^3 * 7 *b
Therefore, b = 3^3 * 5^3 * 7 ^3/3 ^2 * 5 ^3 * 7
b = 3*7^2 =3* 49=147
Correct answer D.
Question: Eight litres are drawn off from a vessel full of water and substituted by pure milk. Again eight litres of the mixture are drawn off and substituted by pure milk. If the vessel now contains water and milk in the ratio 9:40, find the capacity of the vessel.
A.21 liters
B.22 liters
C.20 liters
D.14 liters
Answer: D.14 liters
Explanation: Lets start with option:
Vessel capacity be 20litre:
8litre water removed and milk added: W=12litre, M=8litre
8litre mixture removed, (removed proportionately) : W= 12-4.8 = 7.2litre, M= 8-3.2 = 4.8 litre
8litre milk added ; W=7.2 litre, M=12.8 litre
Ratio will be 72/128 = 18/32 = 9/16
As we can see that milk is less so we have to select the ratio even less than 20,
Vessel capcity be 14 litre
8litre water removed and milk added: W=6 litre, M=8 litre
8litre mixture removed, (removed proportionately) : W= 6-3.4 = 2.6 litre, M= 8-4.6 = 3.4 litre
8litre milk added ; W=2.6 litre, M=11.4 litre
Ratio will be 26/114 = 8.66/38 (approx) very close to 9/40
So correct option is D
Question: Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
A.156 m
B.189 m
C.175 m
D.134 m
Answer: C.175 m
Explanation: RS = 40 – 22 = 18 * 5/18 = 5 mps
T = 60 sec
D = 5 * 60 = 300 m
125
--------
175 m
Answer:C
Question: The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
A. 1/8
B. 1/2
C. 3/4
D. 7/8
Answer: D. 7/8
Explanation: P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8.
Answer: D.
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 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140
B.156
C.175
D.214
Answer: A.140
Explanation: Explanation:
Given that the area of the square = 1225 sq.units
=> Side of square = âˆš1225 = 35 units
The radius of the circle = side of the square = 35 units Length of the rectangle = 2/5 * 35 = 14 units
Given that breadth = 10 units
Area of the rectangle = lb = 14 * 10 = 140 sq.units
ANSWER IS A
Question: In how many ways W can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
A.1. 10!/(2! * 3!)
B.2. 10!/(8! * 7!)
C.3. 5!/(3! * 2!)
D.4. (5!)^3/(3! * 2!)
Answer: D.4. (5!)^3/(3! * 2!)
Explanation: Ans is D.
Going by the assumtion that both the Bow side and Stroke side will have 5 person each.
Five(3+2) of them had allready been selected(according to their preference), so from the remaining 5 we have to select 2 for the stroke side or 3 for the bow side.
and the 5 crew of each side can be arranged in 5! ways=W
Hence answer is 5C3 * 5! * 5!= (5!)^3/ 3!2!.D
Question: A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 10.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
A.4 p.m.
B.5 p.m.
C.6 p.m.
D.8 p.m.
Answer: D.8 p.m.
Explanation: Explanation:
Net ascent of the monkey in 1 hour = (30 - 20) feet = 10 feet.
So, the monkey ascends 90 feet in 9 hours i.e. till 7 p.m.
Clearly, in the next 1 hour i.e. till 8 p.m. the monkey ascends remaining 30 feet to touch the flag.
Answer:D
Question: A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:
A.260
B.262
C.270
D.272
Answer: C.270
Explanation: Explanation:
Volume will be length * breadth * height, but in this case two heights are given so we will take average,
Volume=(12∗9∗(1+4 /2))m312∗9∗2.5m3=270m3
Option C
Question: What is the smallest prime number?
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: Explanation :
smallest prime number is 2.
0 and 1 are neither prime numbers nor composite numbers. Answer : Option C
Question: If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ?
A.0.125
B.0.225
C.0.25
D.0.5
Answer: C.0.25
Explanation: Total number of ways in which H or T can appear in 3 tosses of coin is
= 2 * 2 = 4 ways
For 2 H
HH,
Thus probability is
= P(HH)
= 1/4
= .25
Answer : C
Question: What will come in place of the x in the following Number series? 6, 12, 21, 33 , x
A.33
B.35
C.39
D.48
Answer: D.48
Explanation: The pattern is + 6, + 9, + 12, +15 â€¦â€¦â€¦..
So the missing term is = 33 + 15 = 48
Answer : D
Question: A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A.33
B.66
C.88
D.47
Answer: D.47
Explanation: Let the length of the train be x m.
When a train crosses an electric pole, the distance covered is its own length.
So, x = 12 * 36 * 5 /18 m = 120 m.
Time taken to cross the platform = (120 +350)/ 36 * 5/18 = 47 min.
Answer:D
Question: A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 5% of its original value and fence the field again.. What will be the cost of the new fencing?
A.$360
B.$180
C.$425
D.$408
Answer: D.$408
Explanation: Let's take x to be the breadth. Then the length of the football field is 2x.
The perimeter of the old football field is x + 2x + x + 2x = 6x.
Now, for the new football field:
The new breadth = 1.5 times old breadth = 1.5x
The new length is 0.95 times old length = (.95)2x = 1.9x
So the new perimeter is 1.5x + 1.9x + 1.5x + 1.9x = 6.8x.
for old perimeter rate is $360
For new perimeter = (360 * 6.8)/6
= 408
Ans - D
Question: Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
A.70
B.75
C.80
D.85
Answer: B.75
Explanation: Explanation:
(65+67+76+82+85 / 5)=75
Option B
Question: In a lottery, there are 10 prizes and 35 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A.1/10
B.2/5
C.2/7
D.2/9
Answer: D.2/9
Explanation: Solution
P(getting a prize)	= 10 / (10+35)
‹=› 10 / 45
‹=› 2 / 9.
Answer D
Question: When positive integer k is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
A.k + 1
B.k -11
C.4k + 2
D.(k-3)/3 +2
Answer: C.4k + 2
Explanation: First, because k/6 leaves a remainder of 3, we know k must be odd.
(k=6x+3 = 3(2x+1) = odd*odd = odd)
Knowing k is odd we can examine the answer choices:
a. k + 1 --> odd + 1 --> must be even
b. k -11 --> odd - odd --> must be even
c. 4k + 1 --> 4*odd + 1 = even + 1 --> must be odd
d. (k-3)/3 +2 --> (6x+3-3)/3 + 2 = 2x + 2 --> must be even
e. k/3 --> (6x+3)/3 = 2x+1 = Must be odd
ANSWER:C
Question: what is the smallest integer that is multiple of 3,5,9
A.A)70
B.B)45
C.C)200
D.D)280
Answer: B.B)45
Explanation: It is the lcm of 3, 5 and 9 which is 45.
The answer is B.
Question: A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
A.36/141
B.36/145
C.24/122
D.20/133
Answer: B.36/145
Explanation: The probability that first ball is white:
=12C130C1=12C130C1
=1230=1230
=25=25
Since, the ball is not replaced; hence the number of balls left in bag is 29.
Hence, the probability the second ball is black:
=18C129C1=18C129C1
=1829=1829
Required probability,
=(25)×(1829)=(25)×(1829)
=36/145
B
Question: f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2)
A.0
B.1
C.2
D.3
Answer: C.2
Explanation: f(x) + 3f(8 - x) =f(2) + 3f(6) = 2 : x = 2 above
f(6) + 3f(2) = 6 : x = 6 above
f(6) = 6 - 3f(2) : solve equation C for f(6)
f(2) + 3(6 - 3f(2)) = 2 : substitute
f(2) = 2 : solve above equation
correct answer C
Question: A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is?
A.870m3
B.277m3
C.270m3
D.220m3
Answer: C.270m3
Explanation: Volume will be length * breadth * height, but in this case two heights are given so we will take average,
Volume=(12∗9∗(1+42))m312∗9∗2.5m3=270m3
Answer: C
Question: A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 20 men leave the bus and ten women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
A.15
B.90
C.36
D.45
Answer: B.90
Explanation: Explanation:
Originally, let number of women = x. Then, number of men = 2x.
So, in city Y, we have : (2x - 20) = (x + 10) or x = 30.
Therefore Total number of passengers in the beginning = (x + 2x) = 3x = 90.
Answer: B
Question: If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 39
A.11
B.13
C.15
D.17
Answer: C.15
Explanation: P Ã· 44 = 432
=> P = 432 * 44 = 19008
P / 39 = 19008 / 39 = 487, remainder = 15
C
Question: The average height of 35 boys in a class was calculated as 183cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
A.178.27 cm
B.181.29 cm
C.978.29 cm
D.178.89 cm
Answer: B.181.29 cm
Explanation: Calculated average height of 35 boys = 183 cm.
Wrong total height of 35 boys = 183 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 183 cm - (166 cm - 106 cm)/35
= 183 cm - 60 /35 cm
= 183 cm - 1.71 cm = 181.29 cm.
Answer: B
Question: If Y < X and XM >YM, what must be true?
A.M < X.
B.M < Y.
C.X < 0.
D.M > 0.
Answer: D.M > 0.
Explanation: X>Y, bus as soon as M is multiplied to both sides inequality sign changes.
This is only possible when ve is multiplied on both sides. That means M is ve
D is the answer
Question: The banker's discount on Rs.1650 due a certain time hence is Rs.165. Find the true discount and the banker's gain.
A.12
B.15
C.18
D.21
Answer: B.15
Explanation: Solution
Sum	=B.D x T.D/ B.D - T.D
= B.D x T.D/ B.G
T.D / B. G	=Sum / B.D
= 1650 / 165
= 10 / 1
If B.D is Rs. 11,T.D= Rs.10.
If B.D is Rs.165,
T.D	= Rs.(10 / 11 x 165)
= Rs.150.
And, B.G	= Rs(165 - 150)
= Rs.15.
Answer B
Question: In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 7 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
A.27/343
B.3/7
C.27/125
D.341/422
Answer: D.341/422
Explanation: Let us take 7*5=35 as the total number of customers. So 7*3=21 customers bought a bagel and 5*5=25 customers bought a coffee.
chances that at least 1 customer bought a coffee and a bagel = 1 - chances that no customer bought a coffee and a bagel
chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21/32*20/31*19/30*18/29=81/422
chances that at least 1 customer bought a coffee and a bagel= 1 - 81/422 = 341/422
Answer D.
Question: A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 6 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
A.64
B.65
C.67
D.68
Answer: B.65
Explanation: Responding to a pm: To solve this question, I will make an equation in x and then make educated guesses. Here's how:
Assuming x motorcycles were sold every month initially.
(568000/x + 1000)(x-6) = 594000
(568/x + 1)(x-6) = 594
Now 568 = 8*71
Assuming x = 71 (We have all integers so it is obvious that 568/x should be an integer.
We get 9*66 = 594 (matches)
So he will sell 71 - 6 = 65 bikes this month
Answer (B)
Question: Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 1,20,000 earned at the end of 3 years from the start of the business in 2010?
A.Rs.40000
B.Rs.50000
C.Rs.60000
D.Rs.70000
Answer: A.Rs.40000
Explanation: Explanation :
Aish : Roshan : Atul
= (25000 x 12 + 35000 x 12 + 45000 x 12) : (35000 x 24) : (35000 x 12)
= 1260000 : 840000 : 420000 = 3 : 2 : 1
Roshan's share = Rs. 120000 x 2/6
= Rs. 40000.
Answer : A
Question: Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
A.4
B.7
C.9
D.13
Answer: A.4
Explanation: Explanation:
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and 140 = 4.
ANSWER IS A
Question: A,B worker are doing a job. Worker A takes 8 hours to do a job. B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
A.4 4/9
B.3 3/9
C.3 2/9
D.5 2/9
Answer: A.4 4/9
Explanation: In this type of questions, first we need to calculate 1 hours work, then their collective work as,
A's 1 hour work is 1/8
B's 1 hour work is 1/10
(A+B)'s 1 hour work = 1/8 + 1/10
= 9/40
So both will finish the work in 40/9 hours
= 4 4/9
ANSWER A
Question: A shopkeeper sold an article at $100 with 40% profit. Then find its cost price?
A.$120
B.$100
C.$91
D.$71
Answer: D.$71
Explanation: cost price = selling price *100/(100+profit)
C.P. = 100*100/140 = $71(approximately)
Answer is D
Question: In a match, awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75kg weight awards. If the weight of match wining trophy is 1.275kg, what the weight of each player giving weight of trophy ?
A.134.09 gms
B.144.09 gms
C.154.09 gms
D.164.09 gms
Answer: A.134.09 gms
Explanation: Total weight of all the awards for winning team is 2.75kg = 2750gms
trophy weight is 1.275 kg=1275gms
now rest weight = 2750-1275= 1475gms
rest weight divided in 11 players is = 1475/11 = 134.09 gms
ANSWER:A
Question: If N = 16 × 10^(-p) and −4 < p < 4, how many different integer values of p will make N a perfect square?
A.0
B.2
C.3
D.5
Answer: C.3
Explanation: I think the answer should be C.
Thoose are P-Values that satisfy given restriction: -2, 0, 2 (note, a fraction can be also a perfect square) --> 16*100, 16*1, 16/100
Question: Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
A.9:38
B.9:31
C.9:390
D.9:36
Answer: B.9:31
Explanation: 1/4 : 3/4 = (1:3)5 = 5:15
1/5 : 4/5 = (1:4)4 = 4:16
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9:31
Answer: B
Question: The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
A.0.8904
B.0.5904
C.0.5909
D.0.8904
Answer: B.0.5904
Explanation: Explanation:
P(winning prize atleast on one ticket)
= 1 - P("Losing on all tickets")
= 1 - (0.8)4 = (1 + (0.8)2)(1 - (0.8)2)
= (1.64)(0.36) = 0.5904
Answer: Option B