RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 10, without any of the digits repeating?
A.100
B.216
C.96
D.81
Answer: C.96
Explanation: 0,1,2,3,4,5
One digit will have to remain out for all 5 digit numbers;
if 0 is out; Leftover digits will be 1,2,3,4,5 = Sum(1,2,3,4,5)=15. ignore
if 1 is out; Leftover digits will be 0,2,3,4,5 = Sum(0,2,3,4,5)=14. Ignore
if 3 is out; Leftover digits will be 0,1,2,4,5 = Sum(0,1,2,4,5)=12. ignore
if 4 is out; Leftover digits will be 0,1,2,3,5 = Sum(0,1,2,3,5)=11. Ignore
if 5 is out; Leftover digits will be 0,1,2,3,4 = Sum(0,1,2,3,4)=10. =96
Total count of numbers divisible by 10 = 96 = 96
Ans:C
Question: x =3 1 5
y= 27 7 81 then what is the relation between x and y
A.3*X)^1
B.3*X)^2
C.3*X)^4
D.3*X)^3
Answer: B.3*X)^2
Explanation: Y=(3*X)^2
81=(3*3)^2
81=81
ANSWER:B
Question: On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have three times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley one of her spiders, Pugsley would now have two fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences?
A.4
B.5
C.6
D.8
Answer: C.6
Explanation: If Pugsley were to give Wednesday two of his spiders, Wednesday would then have three times as many spiders as Pugsley does:
(w + 2) = 3(p - 2)
If Wednesday were to give Pugsley one of her spiders, Pugsley would now have three fewer spiders than Wednesday had before they traded:
p + 1 = w - 3
Solving gives p =6 and w = 10.
Answer: C.
Question: The simple interest on a certain sum of money for 2 l/2 years at 12% per year is Rs. 40 less than the simple interest on the same sum for 3 ½ years at 10% per year. Find the sum.
A.800
B.700
C.600
D.500
Answer: A.800
Explanation: Let the sum be Rs. x Then, ((x*10*7)/(100*2)) – ( (x*12*5)/(100*2)) = 40
= (7x/20)-(3x/10)=40
x = (40 * 20) = 800.
Hence, the sum is Rs. 800.
Answer is A.
Question: In a fuel station the service costs $1.05 per car, every liter of fuel costs 0.6$. Assuming that you fill up 3 mini-vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini- van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty-?
A.122.6$
B.128.9$
C.243.7$
D.293.85$
Answer: D.293.85$
Explanation: Service cost of 3 van and 2 truck = 1.05*(3+2)=5.25
Fuel in 3 Van = 3*65=195 litre
Fuel in 2 Trucks =2 * 65(1+120/100)= 286
Total fuel(Van+Truck) = 481 Litre
Total Fuel cost = 481*0.6 =288.6
TOTAL COST =FUEL+SERVICE=288.6+5.25=293.85
ANSWER IS D
Question: Half a number plus 5 is 13.What is the number?
A.8
B.16
C.10
D.11
Answer: B.16
Explanation: Let x be the number. Always replace "is" with an equal sign
(1/2)x + 5 = 13
(1/2)x = 13 - 5
(1/2)x = 8
x = 16
correct answer is B
Question: What will be the fraction of 30%
A.1/4
B.1/5
C.3/10
D.1/11
Answer: C.3/10
Explanation: Explanation:
It will 30*1/100 = 3/10
Option C
Question: Robert left from a Pvt Company. Management hold his salary Rs. 15000/- for one month. Earlier Robert earned a performance incentive Rs. 7280/- from company. But Robert forgot that. After one month Robert asked his salary and accountant gives Rs.18500/- to him. What is the bonus amount given to Robert?
A.A)9500
B.B)12500
C.C)10780
D.D)10500
Answer: C.C)10780
Explanation: Total Salary = Rs.15000/-
Incentive earned earlier = 7280/-
Balance Salary = 15000-7280= 7720
Paid amount = 18500/-
Bonus = 18500-7720 = 10780/-
Answer is C
Question: Souju's age is 118% of what it was 10 years ago, but 86 2/3% of what it will be after 10 years. What is her present age?
A.56 years
B.65 years
C.60 years
D.66 years
Answer: B.65 years
Explanation: Let the age before 10 years =x. Then,
118x/100=x+10
â‡’118x=100x+1000
â‡’x=1000/18=55
Present age =x+10=55+10=65
ANSWER:B
Question: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A.227
B.269
C.270
D.277
Answer: D.277
Explanation: Speed = 72 * 5/18 = 20 m/sec.
Time = 26 sec.
Let the length of the train be x meters.
Then, (x + 250)/26 = 20
x = 270 m. Answer:D
Question: Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
A.5
B.4
C.3
D.6
Answer: C.3
Explanation: Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3
All the three pipes together will fill the tank in 3 hours.
Answer:C
Question: If 0 < a < b and k = (2a + 3b)/b , which of the following must be true?
A.k < 2
B.k < 5
C.k < 9
D.k > 9
Answer: B.k < 5
Explanation: Here's another approach:
k = (2a + 3b)/b
= 2a/b + 3b/b
= 2(a/b) + 3
Since 0 < a < b, we know that a/b is less than 1, which means that 2(a/b) is some number less than 2.
So, we get k = (some number less than 2) + 3
From here, we can see that k must be less than 5
Answer:B
Question: By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A.8
B.9
C.7
D.6
Answer: A.8
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
A.Rs.460
B.Rs.5640
C.Rs.5460
D.Rs.5604
Answer: C.Rs.5460
Explanation: 5000 * 104/100 * 105/100 => 5460
ANSWER:C
Question: Let each different arrangement of all the letters of DELETED be called a word. In how many of these words will the D's be separated?
A.150
B.200
C.300
D.350
Answer: C.300
Explanation: here are 7 letters in the word "DELETED", out of which: D=2, E=3, L=1, T=1.
Total # of permutations is 7!/2!3!=420
# of permutations with D's together is 6!3!=120. Consider 2 D's as one unit: {DD}{E}{E}{E}{L}{T} - total 6 units, out of which {DD}=1, {E}=3, {L}=1, {T}=1.
# of permutations with D's not come together is: 7/2!3!−6!3!=300
ANSWER:C
Question: In a two-digit number, if unit digit exceeds its ten's digit by 2 and the product of the given number and the sum of its digits is equal to 144, then what is the number?
A.21
B.22
C.23
D.24
Answer: D.24
Explanation: Let the 10's digit be x.Then the units digit will be x+2.
the number is 11x+2.
The sum of the digits will be 2x+2
(11x+2)(2x+2)=144
Solving the quadratic eqn we get x=2;so the number is 24.
ANSWER:D
Question: A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
A.65 cm2
B.30 cm2
C.16 cm2
D.17 cm2
Answer: B.30 cm2
Explanation: The circumference of the circle is equal to the permeter of the rectangle.
Let l = 6x and b = 5x 2(6x + 5x)
= 2 * 22/7 * 3.5
=> x = 1
Therefore l = 6 cm and b = 5 cm Area of the rectangle
= 6 * 5 = 30 cm2
Answer: B
Question: Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A.10.2
B.10.5
C.10.9
D.10.8
Answer: D.10.8
Explanation: Relative speed = 60 + 40 = 100 km/hr.
= 100 * 5/18 = 250/9 m/sec.
Distance covered in crossing each other = 140 + 160 = 300 m.
Required time = 300 * 9/250 = 54/5 = 10.8 sec.Answer: D
Question: The average of 10 members is 15665. If 2 members have 20000 then what is the average of remaining?
A.12581.25
B.13581.25
C.14581.25
D.15581.25
Answer: C.14581.25
Explanation: 20000*2+8*x=15665*10
8x=156650-40000
x=116650/8
x=14581.25
ANSWER:C
Question: How many 5 digit numbers can be formed by using 0,2,4,6,8 which is divisible by 8? (for a no. to be divisible by 8, last three digits of the number should be divisible by 8)
A.30
B.28
C.26
D.32
Answer: A.30
Explanation: 1st place can be filled in 4 no of ways (except 0)
2nd place can be filled in 3 no of ways
last 3 places can be filled in 18 no of ways
total 4*3+18=30
ANSWER:A
Question: A clock loses a minute every three hours for 4 days and gains 1% in the subsequent 5 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
A.11:54:40 AM
B.11:56:24 AM
C.11:40:00 AM
D.11:54:24 AM
Answer: C.11:40:00 AM
Explanation: Clock loses: 1 minute in 3 hours = 8 minutes in 24 hours = 32 minutes in 4 days.
Clock gains: 1% in the subsequent 5 days = 1% in 5*24*60 minutes = 72. minute in 5 days;
Net gain in 9 days = 72 - 32 = 40 minutes.
11AM + 40 minutes = 11:40
Answer: C.
Question: √{(2.4)(10^9)} is closest to which of the following?
A.35,000
B.50,000
C.75,000
D.90,000
Answer: B.50,000
Explanation: √{(2.4)(10^9)} = √{(24)(10^8)} = √(24)√(10^8) = (√24) * 10,000 which is almost 50,000.
The answer is B.
Question: Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours. How many hours will it take for both of them working together to paint the living room?
A.2
B.2 11/12
C.3 5/11
D.4 1/2
Answer: B.2 11/12
Explanation: Work hrs=AB/(A+B)= 35/12 =2 11/12
Answer is B
Question: A man can hit a target once in 4 shots. If he fires 4shots in succession, how many ways that he will hit his target?
A.71/234
B.81/133
C.81/343
D.81/256
Answer: D.81/256
Explanation: The man will hit the target if he hits it once or twice or thrice or all four times in the four shots that he takes.
So, the only possibility when the man will not hit the target is when he fails to hit the target in even one of the four shots that he takes.
The event of not hitting the target even once is the complement of the event of hitting the target at least once.
The probability that he will not hit the target in any given shot = 1 - 1414 = 3434
Therefore, the probability that he will not hit the target in any of the four shots = 3434 * 3434 * 3434 * 3434 = 81/256
D
Question: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A.11
B.54
C.28
D.27
Answer: B.54
Explanation: Time taken to meet for the first time anywhere on the track
= length of the track / relative speed
= 600 / (15 + 25)5/18 = 600* 18 / 40 * 5 = 54 seconds.
Answer: B
Question: If x and y are integers and xy = 330, x or y must be divisible by which of the following?
A.4
B.6
C.11
D.20
Answer: C.11
Explanation: xy = 330 = 2 * 3 * 5 * 11
One of x or y must be divisible by 11.
The answer is C.
Question: The area of a triangle will be when a = 3m, b = 4m, c = 5m, a, b, c being lengths of respective sides?
A.3
B.6
C.4
D.9
Answer: B.6
Explanation: S = (3 + 4 + 5)/2= 6 Answer:B
Question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
A.5/11
B.6/11
C.7/11
D.8/11
Answer: B.6/11
Explanation: Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20
Part filled by C in 3 minutes = 3/10
Required ratio = 3/10 * 20/11 = 6/11
ANSWER:B
Question: A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 2 years ago?
A. 8
B. 10
C. 12
D. 14
Answer: C. 12
Explanation: Let's say
Age of Richard isR
Age of David isD
Age of Scott isS
Now
Richard is 6 years older than David,
i.e. R = D +6
David is 8 years older than Scott
i.e. D = S +8
If in 8 years, Richard will be twice as old as Scott
i.e. R+8 = 2x(S+8)
i.e. R+8 = 2S + 16
i.e. R = 2S+8
But R = D+6 = (S+8)+6 = S+14
therefore, 2S + 8 = S +14
i.e. S = 6
i.e. R = 20
i.e. D = 14
Now,
how old was David 2 years ago?
i.e. D-2 = 14-2 = 12 years
Answer: Option
C
Question: Look carefully for the pattern, and then choose which pair of numbers comes next.
28 25 5 21 18 5 14
A.11 5
B.10 7
C.11 8
D.5 10
Answer: A.11 5
Explanation: Explanation: This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.
Answer: Option A
Question: A fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. If the drink is made with 105 ounces of grape juice, how many ounces is the drink total?
A.220
B.250
C.280
D.300
Answer: D.300
Explanation: Let the total number of ounces in the drink be x.
% of orange = 25%
% of watermelon = 40%
% of grape = 100% - 65% = 35%
0.35x = 105
x = 300
Therefore there are a total of 300 ounces in the drink.
The answer is D.
Question: In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A.720
B.850
C.200
D.365
Answer: A.720
Explanation: The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
ANSWER A
Question: Five years ago the average of the ages of A and B was 20 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
A.45 years
B.55 years
C.57 years
D.we cannot determined
Answer: D.we cannot determined
Explanation: Let the present ages of A, B and C be a, b and c respectively.
Given, [(a - 5) + (b - 5)] / 2 = 20 => a + b = 50 --- (1)
(b + c)/2 = 48 => b + c = 96 --- (2)
From (1) and (2), we cannot find b.
ANSWER:D
Question: If a boat is moving in upstream with velocity of 14 km/hr and goes downstream with a velocity of 40
km/hr, then what is the speed of the stream ?
A.13
B.44
C.55
D.6
Answer: A.13
Explanation: 13 km/hr
Answer:A
Question: A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
A.299
B.217
C.698
D.277
Answer: C.698
Explanation: S.I. for 1 year = (854 - 815) = Rs. 39
S.I. for 3 years = 39 * 3 = Rs. 117
Principal = (815 - 117) = Rs. 698.Answer:C
Question: Evaluate: 1182 - 12*3*2 =?
A.674
B.574
C.174
D.274
Answer: C.174
Explanation: According to order of operations, 12?3?2 (division and multiplication) is done first from left to right
12**2 = 4* 2 = 8
Hence
1182 - 12*3*2 = 1182 - 8 = 174
correct answer C
Question: 10 camels cost as much as 24 horses, 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel?
A.Rs.6184.5
B.Rs.4184.5
C.Rs.5700
D.Rs.4284.5
Answer: B.Rs.4184.5
Explanation: Cost of the camel = P
10 camels = 24 horses
26 horses = 4 oxen
6 oxen = 4 elephants
10 elephants = Rs.170000
P = Rs.[(24 * 4 * 4 * 170000)/(10 * 26 * 6 * 10)]
P = Rs.(65280000/15600) => P = Rs.4184.5
ANSWER:B
Question: A driver would have reduced the time it took to drive from home to the store by 1/4 if the average speed had been increased by 12 miles per hour. What was the actual average speed, in miles per hour, when the driver drove from home to the store?
A.24
B.28
C.32
D.36
Answer: D.36
Explanation: Since the distance remains the same (we're just changing the rate and time), any increase in rate or time is met with a decrease in the other term. Decreasing the time by 1/4 would give us:
D = (R)(T) = (3T/4)(x*R)
x = 4/3 since (3T/4)(4R/3) = (R)(T) = D
4R/3 = R + 12
R/3 = 12
R= 36
The answer is D.
Question: Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
A.27 7/8
B.27 7/6
C.27 7/4
D.27 7by9
Answer: D.27 7by9
Explanation: Relative speed = (40 - 20) = 20 km/hr.
= 20 * 5/ 18 = 50/9 m/sec.
Length of faster train = 50/9 * 5 = 250/9 = 27 7/9 m.
Answer: D
Question: 20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability M that one more throw to this series will increase the mean score?
A.1/6
B.1/3
C.1/2
D.2/3
Answer: C.1/2
Explanation: I get the mean as 67/20 --> 3.35. Thus in order to raise this mean we would need a 4,5,or 6.
Thus probability Mis 1/2.C
Question: The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
A.75 kg
B.65 kg
C.55 kg
D.85 kg
Answer: D.85 kg
Explanation: Total weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65 + 20) kg = 85 kg.
Answer: D
Question: A restaurant meal cost $30.5 and there was no tax. If the tip was more than 20 percent but less than 30 percent of the cost of the meal, then the total amount paid must have been between
A.$40 and $42
B.$39 and $41
C.$38 and $40
D.$37 and $39
Answer: D.$37 and $39
Explanation: The total amount for the meal was between 30.5*1.2=36.6 and 30.5*1.3=~39.65. Only option which covers all possible values of the meal is D.
Answer: D.
Question: If the average of 9 consecutive number is T. How much will the average increase by if the next 3 consecutive numbers are also added?
A.3
B.1.5
C.2.5
D.Can’t be determined
Answer: B.1.5
Explanation: DETAILED SOLUTION
Let the numbers be n, n+1, n+2……………….n+8
Average of these numbers = n + 4
When n +9, n+10, n+11 are added, the difference of these numbers from the earlier average = 5, 6, 7 respectively = 18
This 18 will increase the average by 18/15 = 1.5
CORRECT ANSWER B
Question: Two pipes A and B can fill a tank in 40 and 120 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
A.30
B.35
C.25
D.82
Answer: A.30
Explanation: Part filled by A in 1 min. = 1/40
Part filled by B in 1 min. = 1/120
part filled by (A + B) in 1 min. = 1/40 + 1/120 = 1/30.
Both the pipes can fill the tank in 30 minutes.
Answer: A
Question: 100 oranges were bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. What is the percentage of profit or loss?
A.19 2/7%
B.17 2/7%
C.14 2/7%
D.15 2/7%
Answer: C.14 2/7%
Explanation: 100*48/12*350-1)100=1/7*100=14 2/7%
i.e., profit percentage =14 2/7%
Answer : C
Question: Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is?
A.2987
B.2000
C.2789
D.7999
Answer: B.2000
Explanation: Let C.P. of each horse be Rs. x and C.P. of each cow be Rs. y.
Then, 4x + 9y = 13400 -- (i)
And, 10% of 4x + 20% of 9y = 1880
2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 -- (ii)
Solving (i) and (ii), we get : x = 2000 and y = 600.
Cost price of each horse
= Rs.2000.
Answer: B
Question: The monthly salaries of six employees in a company are $1000, $2500, $3100, $3650, $1500, $2000. What is the mean of the salaries of 6 employees.
A.$2291.7
B.$1546.8
C.$2546.5
D.$1879.3
Answer: A.$2291.7
Explanation: mean of the salaries = ($1000+ $2500+ $3100+ $3650+ $1500+ $2000)/6 = 13750/6 = $2291.7
Answer is A
Question: If q and d are both integers, q>d, and -3q>19, then the largest value of d would be?
A.-5
B.-6
C.-7
D.-8
Answer: D.-8
Explanation: No, your thinking is incorrect. When we know that q>d and q<-6.33, the largest value of q can be -7 while if q=-7, then largest value of d < -7 will be -8.For negative numbers, -7 > -8 and -8> -10.
You are right in saying that d can take any value less than -7 ---> d could be -8, -9, -10 .... and out of all these values, -8 is the greatest.
Look at the numbers on the number line. For any 2 numbers, the ones on the right are greater than the ones on the left:
.......-11 -10 -9 -8 -7 -6 -5 ..... 0 1 2 3 4 5 6 ... (-11< -10, -10< -8, 4< 5 etc).
So, as per the question if d<q and q = -7 , then d's largest 'possible' value has to be -8.
-10 is smaller than -8=D
Question: The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre.
A.Rs. 15000
B.Rs. 15550
C.Rs. 15600
D.Rs. 16500
Answer: D.Rs. 16500
Explanation: Solution
Area of the floor = (5.5 × 3.75) m2 = 20.625 m2
∴ Cost of paving = Rs. (800 × 20.625) = 16500. Answer D
Question: How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARIT', if repetition of letters is not allowed?
A.690
B.210
C.740
D.760
Answer: B.210
Explanation: The word 'LOGARIT' has 7 different letters.
Hence, the number of 3-letter words(with or without meaning) formed by using these letters
= 7P3
=
7
×
6×
5
=
210
Option B
Question: What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
A.1
B.2
C.5
D.6
Answer: B.2
Explanation: (1056 / 23) gives remainder 21
21 + 2 = 23, So we need to add 2
B
Question: . A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit . For how long B’s money was used.
A.33
B.27
C.10
D.8
Answer: C.10
Explanation: Explanation:
B received 2/3 of the profit ⇒Their profits ratio = A : B = 1 : 2
Let the total capital = 4 units
Then A's capital = 1
B's capital = 3
Assume B's money was used for b months
Then A : B = 1 × 15 : 3 × b = 1 : 2
⇒ 15 : 3b = 1 : 2
⇒ 153b=12153b=12
⇒ b = 10
Answer: C
Question: Instead of multiplying a number by 7, the number is divided by 7. What is the percentage of error obtained ?
A.97.959%
B.98.959%
C.99.959%
D.96.959%
Answer: A.97.959%
Explanation: let the number be x
the right number is 7x
the wrong number is x/7
error is(7x-x/7)=48x/7
percentage of error is((48x/7)/7x)*100=97.959%
ANSWER:A
Question: If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph,then the man’s rate along the current is :
A.4.25 kmph
B.6 kmph
C.6.5 kmph
D.8.5 kmph
Answer: C.6.5 kmph
Explanation: Solution
Let the rate along the current be x kmph.Then,1/2(x + 3.5) = 5 or x = 6.5 kmph. Answer C
Question: If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 15 percent of the test takers answered neither question correctly, what percent answered both correctly?
A.60 %
B.65 %
C.70%
D.75%
Answer: D.75%
Explanation: {Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 85 + 75 - {Both correctly} + 15
{Both correctly} = 75.
Answer: D.
Question: The unit digit in the product (635 * 767 * 984 * 489) is:
A.0
B.8
C.3
D.2
Answer: A.0
Explanation: Explanation:
Unit digit in the given product = Unit Digit in (5*7*4*9) = 0
ANSWER: A
Question: If b does not equal zero, and ab = b/8, what is the value of a?
A.A)1/8
B.B)1/4
C.C)1/3
D.D)1/2
Answer: A.A)1/8
Explanation: Explanation:
To solve for a, divide both sides of the equation by b: ab = b/8
(ab)/b = (b/8)/b
a = (b/8)*1/b
a = 1/8
Answer: (A).
Question: A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
A.11
B.22
C.44
D.55
Answer: C.44
Explanation: g% = 20 + 20 + (20*20)/100
= 44%
Answer:C
Question: Tom found a box of 220 baseball cards. Being a thoughtful older brother, he wanted to save at least 80 percent of the cards for himself and split the remaining cards evenly among his 4 younger brothers. What is the lowest possible number of cards that Tom can save for himself that will also allow each of his 4 younger brothers to get an equal number of cards?
A.110
B.112
C.116
D.118
Answer: A.110
Explanation: This question can be easily solved by looking at the options.
Assuming number of cards to be x
We need to find the option for which (1/4)*(4x/5) is an integer
Or x/5 is an integer.
Hence we need the lowest multiple of 5 from the given options.
Let us start from the lowest value:
Option A: 110. This is a multiple of 5 Hence the correct answer.
Correct Option: A