RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: If a man buys 10 lollipops for $80 and sold them for $3 dollars determine his loss.
A.50
B.60
C.70
D.80
Answer: A.50
Explanation: Cost of 10 lollipops = $80
Sold each lollipop for $3
So he sold 10 lollipops for $(10 × 3) = $30
Loss = $(80 – 30) = $50
answer :A
Therefore, loss = $ 50.
Question: 12.1212+17.0005 - 9.1104 = ?
A.20.0015
B.20.0105
C.20.0113
D.20.1015
Answer: C.20.0113
Explanation: Solution
Given expression
=(12.1212+17.0005)-9.1104
= (29.1217 - 9.1104)
=20.0113.
Answer C
Question: A thief goes away with a SANTRO car at a speed of 50 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start?
A.A)2
B.B)5
C.C)7
D.D)5
Answer: A.A)2
Explanation: Explanation:
|-----------20--------------------|
60 50
D = 20
RS = 60 – 50 = 10
T = 20/10 = 2 hours
Answer: Option A
Question: If you roll a fair-sided die twice, what is the probability of getting 1 ,1 ?
A.1/3!
B.1/36
C.1/18
D.1/24
Answer: A.1/3!
Explanation: total no. in two dice (1,1) ,(2,2) .....(6,)
Total number of events= 6*6
Total events of getting same pair(1, 1) = 6
Probability= 6/6*6= 1/6=1/3!
A
Question: A cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm. The percentage of the wood wasted is :
A.45%
B.56%
C.67%
D.75%
Answer: D.75%
Explanation: Explanation:
We will first subtract the cone volume from wood volume to get the wood wasted.
Then we can calculate its percentage.
Sphere Volume =4/3πr3
Cone Volume =1/3πr2h
Volume of wood wasted =(4/3π∗9∗9∗9)−(1/3π∗9∗9∗9)=π∗9∗9∗9cm3
Required Percentage =π∗9∗9∗9 /4/3π∗9∗9∗9∗100%=3/4∗100%=75%
Option D
Question: The length of the bridge, which a train 130 metres long and travelling at 108 km/hr can cross in 30 seconds, is:
A.200 m
B.225 m
C.245 m
D.170 m
Answer: D.170 m
Explanation: Speed = [108 X 5/18] m/sec = 30 m/sec
Time = 10 sec
Let the length of bridge be x metres.
Then, (130 + x)/30 = 10 => 130 + x = 300 => x = 170 m.
ANSWER:D
Question: The speed of a car is 90 km in the first hour and 50 km in the second hour. What is the average speed of the car?
A.70
B.75
C.88
D.54
Answer: A.70
Explanation: S = (90 + 50)/2
= 70 kmph
Answer: A
Question: A man can row upstream at 26 kmph and downstream at 30 kmph, and then find the speed of the man in still water?
A.29
B.28
C.30
D.32
Answer: B.28
Explanation: US = 26
DS = 30
M = (30 + 26)/2 = 28
Answer:B
Question: A train 520 meters long is running with a speed of 52 kmph. The time taken by it to cross a tunnel 160 meters long is?
A.287 sec
B.288 sec
C.47 sec
D.16 sec
Answer: C.47 sec
Explanation: D = 520 + 160 = 680
S = 52 * 5/18 = 14.4 mps
T = 680/14.4 = 47 sec
Answer: C
Question: A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A.33
B.299
C.36
D.88
Answer: C.36
Explanation: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.
Answer:C
Question: A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
A.9
B.11
C.15
D.5
Answer: A.9
Explanation: 221 + 43 = 264/17 = 9
ANSWER A
Question: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $60 less. What was the total cost cost of the vacation?
A.$200
B.$300
C.$400
D.$720
Answer: D.$720
Explanation: C for cost.
P price per person.
C= 3*P
C=4*P-240
Substituting the value of P from the first equation onto the second we get P = 240.
Plugging in the value of P in the first equation, we get C= 720. Which leads us to answer choice D
Question: Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
A.17/26
B.17/21
C.17/92
D.17/20
Answer: D.17/20
Explanation: n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = 8 = n(P)
P(EᴜP) = 10/20 + 8/20 - 1/20
= 17/20
Answer:D
Question: The average (arithmetic mean) of 20, 40, and 60 is 4 more than the average of 10, 70, and what number?
A.28
B.25
C.35
D.45
Answer: A.28
Explanation: a1 = 120/3 = 40
a2 = a1 -4 = 36
sum of second list = 36*3 = 108
therefore the number = 108 -80 = 28
ANSWER:A
Question: A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
A.Rs. 380
B.Rs. 600
C.Rs. 420
D.Rs. 400
Answer: D.Rs. 400
Explanation: Explanation :
Amount of work A can do in 1 day = 1/6
Amount of work B can do in 1 day = 1/8
Amount of work A + B can do in 1 day = 1/6 + 1/8 = 7/24
Amount of work A + B + C can do = 1/3
Amount of work C can do in 1 day = 1/3 - 7/24 = 1/24
work A can do in 1 day: work B can do in 1 day: work C can do in 1 day
= 1/6 : 1/8 : 1/24 = 4 : 3 : 1
Amount to be paid to C = 3200 × (1/8) = 400
Answer : Option D
Question: Boy sells a book for Rs. 720 he gets a loss of 10 %, To gain 10%, what should be the SP?
A.430
B.880
C.550
D.590
Answer: B.880
Explanation: Cost price = 720/90 x 100 = 800
To gain 10% = 800 x 10/100 = 80
SP = CP + gain = 800 + 80 = 880
Answer : B
Question: What Least number should be added to 1056,so that the sum is completely divisible by 23?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: That is 1056/23=45
Remainder=21
=>21+2=23
Hence 2 should be added to 1056 so that the sum will be divisible by 23
Answer is option B
Question: Pipe A fills a tank of capacity 900 liters at the rate of 40 liters a minute. Another pipe B fills the same tank at the rate of 30 liters a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. If pipe A is kept open for a minute and then closed and pipe B is open for a minute and then closed and then pipe C is open for a minute and then closed and the cycle is repeated, when will the tank be full?
A.42 minutes
B.14 minutes
C.54 minutes
D.40 minutes 20 seconds
Answer: C.54 minutes
Explanation: In one cycle they fill 40+30-20 = 50 liters
900 = 50*n => n = 18
here n = number of cycles.
total time = 18*3 = 54 as in one cycle there are 3 minutes.
thus 54 minutes
ANSWER:C
Question: If a*b*c=195, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?
A.1/2
B.1/4
C.3/4
D.2/3
Answer: C.3/4
Explanation: Explanation :
aâˆ—bâˆ—c/bâˆ—câˆ—d= 195/65 => a/d = 3
dâˆ—eâˆ—f/câˆ—dâˆ—e= 250/1000 => f/c = 1/4
a/d* f/c = 3 * 1/4 = 3/4
Answer : C
Question: A retailer bought a machine at a wholesale price of $80 and later on sold it after a 20% discount of the retail price. If the retailer made a profit equivalent to 20% of the wholesale price, what is the retail price of the machine?
A.$80
B.$100
C.$120
D.135
Answer: C.$120
Explanation: The price after the discount was 1.2*80 = $96
Let x be the retail price.
0.8x = $96
x = 96/0.8 = $120
The answer is C.
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?
A.14700
B.14500
C.14900
D.14300
Answer: A.14700
Explanation: Total amount invested = 50000
Assume that investment of C =x.
Then investment of B =5000+x,
Investment of A =4000+5000+x=9000+x
x+5000+x+9000+x=50000
⇒3x+14000=50000
⇒3x=50000–14000=36000
⇒x=36000/3=12000
Investment of C =x=12000
Investment of B =5000+x=17000
Investment of A =9000+x=21000
Ratio of the investment of A, B and C
=21000:17000:12000
=21:17:12
Share of A = Total profit ×21/50
=35000×21/50=700×21=14700
Answer is A.
Question: Find the differece between largest and smallest number formerd by the digits 0,1,2,3,5
A.41375
B.42975
C.42775
D.43565
Answer: B.42975
Explanation: Explanation:
53210
01235
---------
41975
Answer: Option B
Question: A man can row with a speed of 10 kmph in still water. If the stream flows at 55 kmph, then the speed in downstream is?
A.29
B.65
C.20
D.27
Answer: B.65
Explanation: M = 10
S = 55
DS = 10 + 55 = 65
Answer: B
Question: The number of real roots of the equation A2/x + B2/(x-1) = 1, where A and B are real numbers not equal to zero simultaneously is
A.None
B.1
C.2
D.1 or 2
Answer: A.None
Explanation: Explanation :
=> A2/x + B2/(x-1) = 1,
=> A2 (x-1) + B2x = x2 - x.
This is a quadratic equation.
Hence, number of roots = 2 or 1 (1 in the case when both roots are equal )
Answer : A
Question: (?) - 19657 - 33994 = 9999
A.63650
B.63656
C.63678
D.63628
Answer: A.63650
Explanation: A
63650
19657+33994=53651
Let x - 53651 = 9999
Then, x = 9999 + 53651 = 63650
Question: A student chose a number, multiplied it by 8, then subtracted 138 from the result and got 102. What was the number he chose?
A.30
B.120
C.130
D.140
Answer: A.30
Explanation: Solution:
Let xx be the number he chose, then
8⋅x−138=102
8x=240
x=30
Answer A
Question: Two trains 120 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
A.7.16
B.7.16
C.7.07
D.7.15
Answer: C.7.07
Explanation: T = (120 + 165)/ (80 + 65) * 18/5
T = 7.07
Answer: C
Question: Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?
A.4m - 11
B.m/2 + 13
C.1/(2m - 22)
D.(4m + 11)/2
Answer: B.m/2 + 13
Explanation: Ike's current age = m
Ike's age after 4 years = m + 4
Tina age 11 years ago =(m+4)/2
Tina's current age = (m+4)/2 + 11 = (m+4+22)/2= m/2+13
Ans B
Question: If x and y are integers and x + y = 4, which of the following must be true?
A.x and y are consecutive integers.
B.Both x and y are even.
C.If x > 0, then y < 0.
D.If x < 0, then y > 0.
Answer: D.If x < 0, then y > 0.
Explanation: In option C if x > 0,then y<0 means x is +ve and y is -ve
In option B if x < 0, then y>0 means y is +ve and x is -ve, both are same and satisfying x+y = 5.
How option D is right could you explain
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 38 years now, the son's age five years back was:
A.14
B.67
C.56
D.89
Answer: A.14
Explanation: Let the son's present age be x years. Then, (38 - x) = x
2x = 38.
x = 19.
Son's age 5 years back (19 - 5) = 14 years.
Answer:A
Question: According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 5 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
A.25
B.34
C.50
D.60
Answer: D.60
Explanation: Orange juice concentrate: water::1:3
total quantity of orange juice = 200*6 = 1200 oz
so Orange juice concentrate: water :: 300 oz:900 oz
no. of 5 oz can = 300 oz/5 oz = 60
Answer D, 60 cans
Question: A and B are two circles. The radius of A is four times as large as the diameter of B. What is the ratio between the areas of the circles?
A.1:8.
B.1:2.
C.1:24.
D.1:64.
Answer: D.1:64.
Explanation: Given : The radius of A is 4 times as large as the diameter of B. => R(a) = 4*D(b) = 4*2*R(b) = 8R(b). The radius are in ratio of 1:8 thus the area will be in the ratio of square of radius. 1:64. Hence D.
Question: In a certain game, you pick a card from a standard deck of 52 cards. If the card is a clever, you win. If the card is not a clever, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a clever, and the point is to measure how many draws did it take before the person picked a clever and won. What is the probability that there will be at least three draws involved in a win, i.e. someone picking her clever on the third draw or later?
A. 11/16
B. 9/16
C. 14/16
D. 13/16
Answer: A. 11/16
Explanation: Probability of picking a heart on any draw = 1/4
Probability of NOT picking a heart on the first draw AND on the second draw = [1-(1/4)] X [1-(1/4)] = 3/4 X 3/4 = 9/16
Answer : A
Question: A can complete a work in 10days and B can do the same work in 5days. If A after doing 2days, leaves the work, find in how many days B will do the remaining work?
A.2days
B.4days
C.6days
D.7days
Answer: B.4days
Explanation: The required answer = (10-2)*5 / 10 = 40/10 = 4days
Answer is B
Question: The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of Rs.800 per sq. metre.
A.16200
B.16350
C.16500
D.16750
Answer: C.16500
Explanation: Area =5.5×3.75 sq. metre.
Cost for 1 sq. metre. = Rs.800
Hence, total cost
=5.5×3.75×800=5.5×3000= Rs.16500
Answer is C.
Question: A bag contains nine 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.5/8
B.6/13
C.5/16
D.5/13
Answer: B.6/13
Explanation: Two balls can be picked from thirteen balls in 13Câ‚‚ ways.
We select one white ball and one red ball from five white balls and four red balls. This can be done âµ ways.
The required probability = (9 * 4) = 36/78 = 6/13
Answer: B
Question: when W is divided by 13, the reminder is 0. if W is one lesser than it value and when divided by 5 its remainder is 0. what is the value of W ?
A.13
B.25
C.26
D.52
Answer: C.26
Explanation: W is divided by 13 so that is multiple of 14 as 13,26,39...
W-1 is divided by 5 the remainder is 0 so it is divisible by 5. Consider from option let us take the number is 13 it is divisible by 13 but 13-1 is not divisible by 5 so it is not answers so let us take 2nd option 25 which is not divisible by 13 in 3rd option 26 is divisible by 13 and 26-1 is divisible by 5 so ans is C
Question: A goods train runs at the speed of 72 km/hr and crosses a 80 m long platform in 26 sec. What is the length of the goods train?
A.382
B.440
C.278
D.270
Answer: B.440
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 80)/26 = 20
x = 440m.
Answer: B
Question: The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 35% profit?
A.$480
B.$450
C.$960
D.$864
Answer: D.$864
Explanation: Let C.P. = $ x.
Then, 832 - x = x - 448
2x = 1280 => x = 640
Required S.P. = 135% of $ 640 = $ 864
D
Question: Half percent, written as a decimal, is
A.0.2
B.0.02
C.0.005
D.0.05
Answer: C.0.005
Explanation: Solution: As we know, 1% = 1/100
Hence, 1/2% = (1/2 * 1/100) = 1/200 = 0.005.
Answer: Option C
Question: Enrollment in City College in 1980 was 37 percent of enrollment in 1990. What was the percent increase in the college’s enrollment from 1980 to 1990?
A.100%
B.170.27 %
C.200%
D.250%
Answer: B.170.27 %
Explanation: Assume 100 enrollments present in 1990
37 % of 1990 = enrollments on 1980
enrollments on 1980 = 37
% change = (enrollment in 1990 - enrollment in 1980)*100/(enrollment in 1980)
=(100 - 37) *100 / 37
= 6300 / 37
= 170.27 %
Ans - B
Question: How many prime numbers are between 26/3 and 85/6?
A.1
B.2
C.3
D.4
Answer: B.2
Explanation: 26/3 = 8.xxx
85/6 = 14.xxx
So we need to find Prime numbers between 8 (Exclusive) - 13 (Inclusive)
There are 2 Prime numbers 1113
Hence answer will be (B) 2
B
Question: If 1400*x=1050. The, x=?
A.1.4
B.3/5
C.2/3
D.3/4
Answer: D.3/4
Explanation: 1400*x=1050; x=1050/1400; x =3/4
Correct Option: D
Question: Create a number using only the digits 4,4,3,3,2,2,1 and 1. So i can only be eight digits. You have to make sure the ones are separated by one digit, the twos are separated by two digits the threes are separated with three digits and the fours are separated by four digits
A.61312432
B.41312432
C.51312432
D.31312432
Answer: B.41312432
Explanation: B
41312432
Question: Devon had $56.90 to spend at the toy store. She bought 4 toy cars that cost $2.50 each and a race track that cost $19.10. How much money does Devon have left to buy more toys?
A.$70
B.$55
C.$33
D.$27.80
Answer: D.$27.80
Explanation: Step 1: Find the cost of the toy cars.
4 × $2.50 = $10.00
Step 2: Find the total cost of the toys.
$10.00 + $19.10 = $29.10
Step 3: Find the amount of money left.
$56.90 – $29.10 = $27.80
Devon has $27.80 left.
Answer is D.
Question: A can finish a work in 60days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
A.10days
B.25days
C.6days
D.7days
Answer: B.25days
Explanation: B+C 1day work = 1/9 + 1/12 = 7/36
work done by B and C in 3days = 7/36 * 3 = 7/12
Remaining work = 1 - 7/12 = 5/12
1/60 work is done by A in 1day
5/12 work is done by A in 60*5/12 = 25days
Answer is B
Question: If 25x = 125^y, which of the following expresses x in terms of y?
A.5^y
B.5^(3y-2)
C.5^(3y-1)
D.5^(2y-1)
Answer: B.5^(3y-2)
Explanation: By exponential simplification. 25 = 5^2 and 125=5^3 therefore (5^2)x=(5^3)^y gives x=(5^3y)/(5^2) further simplified to x=(5^3y)(5^-2) which gives x=5^(3y-2) (because exponential is additive in multiplication. i.e. a^b*a^c=a^(b+c). Answer: B
Question: The decimal 0.1 is how many times greater than the decimal (0.01)^5?
A.10^6
B.10^7
C.10^8
D.10^9
Answer: D.10^9
Explanation: 0.1 = 10^-1
(0.01)^5 = (10^-2)^5 = 10^-10
10^9 * 10^-10 = 10^-1
The answer is D.
Question: 3.20 can be expressed in terms of percentage as
A.3.20%
B.30.2%
C.320.00%
D.0.320%
Answer: C.320.00%
Explanation: Explanation:
While calculation in terms of percentage we need to multiply by 100, so
3.20 * 100 = 320
Answer: Option C
Question: A dishonest dealer uses a scale of 97 cm instead of a metre scale and claims to sell at cost price. His profit is
A.9%
B.10%
C.12%
D.3.1%
Answer: D.3.1%
Explanation: Solution
Gain%	= (3 / 97 x 100)%
= 3.1%
Answer D
Question: If (5^11)(9^6)=3(15^x), what is the value of x?
A. 7
B. 9
C. 11
D. 13
Answer: C. 11
Explanation: (5^11)(9^6)=3(15^x)
=> 5^11 * 3^12 = 3 * 3^x * 5^x
=> 5^11 * 3^12 = 3^(x+1) * 5^x
Value of x = 11
Answer C
Question: A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
A.400 kg
B.560 kg
C.600 kg
D.640 kg
Answer: C.600 kg
Explanation: Profit on 1st part 8%
Profit on 2nd part 18%
Mean Profit 14%
Ration of 1st and 2nd parts = 4 : 6 = 2 : 3
Quantity of 2nd kind = (3/5 x 1000)kg = 600 kg.
Answer:C
Question: Browny owns b video game cartridges. If Browny’s total is one-third the total owned by James and two times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
A.(16/3)b
B.(17/4)b
C.(13/4)b
D.(9/2)b
Answer: D.(9/2)b
Explanation: b = Browny’s total
3b = James’s total
(1/2)b = Charlie’s total
Add each total
b + 3b+ (1/2)b = 4b + (1/2)b = = (9/2)b
Answer : D
Question: How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?
A.20
B.15
C.40
D.50
Answer: A.20
Explanation: Selling price is 48 cents/lb
For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)
Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)
weight of Salt 1/weight of Salt2 = (Salt2 - Salt Avg)/(Salt Avg - Salt 1) = (50 - 40)/(40 - 35) = 2/1
We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 20 lbs.
Answer (A)
Question: Harkamal purchased 10 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
A.A)1190
B.B)1065
C.C)1070
D.D)1075
Answer: A.A)1190
Explanation: Cost of 10 kg grapes = 70 × 10 = 700.
Cost of 9 kg of mangoes = 55 × 9 = 490.
Total cost he has to pay = 700 + 490 = 1190
A
Question: If the given two numbers are respectively 5% and 25% of a third number, then what percentage is the first of the second ?
A.20%
B.25%
C.18%
D.30%
Answer: A.20%
Explanation: Here, l = 5 and m = 25
Therefore, first number = l/m x 100% of second number = 5/25 x 100% of second number = 20% of second number
ANSWER:A
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 4225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A.140 sq.units
B.260 sq.units
C.167sq.units
D.178sq.units
Answer: B.260 sq.units
Explanation: Given that the area of the square = 4225 sq.units
=> Side of square = √4225 = 65 units
The radius of the circle = side of the square = 65 units Length of the rectangle = 2/5 * 65 = 26 units
Given that breadth = 10 units
Area of the rectangle = lb = 26 * 10 = 260 sq.units
Answer:B
Question: A person distributed 15% of his income to his 3 children each. He deposited 30% of his income to his wife's account. He donated 5% of remaining amount to an orphan house.Finally he has $40000. Find his total income?
A.A)452000
B.B)200000
C.C)800000
D.D)500000
Answer: B.B)200000
Explanation: 3 children got = 3*15% = 45%
wife got = 30%
orphan house = 5%
total = 45+30+5 = 80%
remaining = 100-80 = 20%
20% = 40000
100% = 40000*100/20 = $200000
Answer is B
Question: A fruit seller had some oranges. He sells 20% oranges and still has 400 oranges. How many oranges he had originally?
A.420
B.700
C.220
D.500
Answer: D.500
Explanation: Explanation :
He sells 20% of oranges and still there are 400 oranges remaining
=> 80% of oranges = 400
⇒ (80 × Total Oranges)/100 = 400
⇒ Total Oranges/100 = 5
⇒ Total Oranges = 5 × 100 = 500
Answer : Option D
Question: The sum of two numbers is 35 and their product is 1050. What will be the sum of their reciprocals?
A.(1/30)
B.(11/210)
C.(35/4)
D.(75/8)
Answer: A.(1/30)
Explanation: Solution
x+y=35 xy=1050 1/x+1/y=x+y/xy 35/1050 = (1/30).
Answer A
Question: The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
A.18%
B.71%
C.28%
D.12%
Answer: A.18%
Explanation: 1500 ---- 270
100 ---- ? => 18%
Answer: A
Question: Which one of the following numbers is exactly divisible by 11?
A.235641
B.245642
C.315624
D.415624
Answer: D.415624
Explanation: (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.
(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.
(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.
(4 + 6 + 1) - (2 + 5 + 4) = 0, So, 415624 is divisible by 11.
D)
Question: If x is divisible by 3 and 7, which of the following must divide evenly into x? I. 60 II. 30 III. 21
A.II only
B.III only
C.I only
D.I,II only
Answer: B.III only
Explanation: If x is divisible by 3,7 means it will be = or > 21, 42,84 etc...
That are not divisible by 60, 30.
So, the answer is B
Question: The sum of three consecutive odd natural numbers, each divisible by 3 is 84. What is the largest among them?
A.21
B.24
C.27
D.31
Answer: D.31
Explanation: Let the 3 consecutive odd numbers each divisible by 3 be X, X+3, X+6
Given, X + X+3 + X+6 = 84
3X = 75
X = 25
The numbers are 25, 28, 31
Therefore the largest number is 31
Answer D.
Question: A goes 8 km East, then 3 km South, 4km West. How far is he from starting point and in which direction?
A.5 km south west
B.5 km south east
C.8 km south
D.9 km south
Answer: B.5 km south east
Explanation: 8E, 3S,4W
Subtract opposite direction 8E-4W,3S=> 4E, 3S
Square root of(4^2+ 3^2)= 5 Km South East.
ANSWER:B
Question: In how many ways can the letters of the word SPECULATION be arranged such that all the vowels always appear together?
A.6!*5!
B.7!*5!
C.11!
D.11!*6!
Answer: B.7!*5!
Explanation: The 11 letters can be grouped into 6 consonants and one set of 5 vowels.
The number of ways to arrange 7 units is 7!
Then, for each arrangement, the 5 vowels can be arranged in 5! ways.
The total number of arrangements is 7!*5!
The answer is B.
Question: If BASKET is coded as 116,then COLOUR is coded as,
A.158
B.168
C.179
D.188
Answer: B.168
Explanation: NUMBER THE ALPHABETS
B=2, A=1, S=19, K=11, E=5, T=20
BASKET = 116
2(B+A+S+K+E+T) ==>2(2+1+19+11+5+20) = 2(58) = 116
Similarly C=3, O=15, L=12, O=15, U=21, R=18
2(C+O+L+O+U+R) = 2(3+15+12+15+21+18) = 2(84) = 168
ANSWER:B
Question: The ratio of two numbers is 3 : 6 and their H.C.F. is 7. Their L.C.M. is
A.48
B.42
C.56
D.27
Answer: B.42
Explanation: Explanation:
Let the numbers be 3x and 6x. Then, their H.C.F. = x. So, x = 7.
So, the numbers 21 and 42.
L.C.M. of 21 and 42 = 42.
Option B