RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number aabbcc, which of the following must be a factor of aabbcc?
A.9
B.3
C.7
D.11
Answer: D.11
Explanation: The sum of the digits in place 1,3 and 5 is a+b+c is equal to the sum of the digits in place 2,4 and 6 which is a+b+c. thus the number abcabc is divisible by 11. thus 11 must be a factor of abcabc.
Answer: D
Question: A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 35 pints of Perfect Pink paint?
A.9
B.16
C.19
D.25 1/3
Answer: C.19
Explanation: 3/4 pint is required to make 3/4 + 2/3 = 17/12 pint of perfect pink
so 17/12 pint requires 3/4 pint of red..
1 pint will require 3/4 * 12/17=9/17..
35 pints will require 9/17 * 35= 19 pints..
C
Question: One out of every 600 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
A.60,000
B.5,000
C.10,000
D.50,000
Answer: A.60,000
Explanation: 20 broken glasses indicates that 10*10= 100 defected bulbs are present.
100 defected bulbs indicates that 100*600= 60,000 light bulbs are present.
A is the answer
Question: If x is an even integer and y = 6x + 4, which of the following CANNOT be a divisor of y?
A.17
B.20
C.29
D.41
Answer: B.20
Explanation: x takes even values as 2,4,6,8.,
y=6x+5
x is an even term so 6x must be an even term when it adds with 4 so it must be a even integer
20 didn't follows this condition ans is B
Question: John spends $320 buying his favorite dolls. If he buys only small Monkey dolls, which are $4 cheaper than the large Monkey dolls, he could buy 40 more dolls than if he were to buy only large Monkey dolls. How much does a large Monkey doll cost?
A.$7.2
B.$7.5
C.$8
D.$9
Answer: C.$8
Explanation: A and B is not an integer. So we start with C
If large doll costs $8, then he can buy 320/8 = 40 large dolls and 320/4 =80 small dolls.
Difference is 40, which is we wanted.
Answer C.
Question: At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 9/10 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
A.23/200
B.11/100
C.7/50
D.3/20
Answer: A.23/200
Explanation: Males who did not arrive on time are 1/8*3/5 = 3/40 of the attendees.
Females who did not arrive on time are 1/10*2/5 = 2/50 of the attendees.
The fraction of all attendees who did not arrive on time is 3/40 + 2/50 = 23/200
The answer is A.
Question: If a,b, and c are consecutive positive integers and a>b>c, what can be the value of (a^2-b^2)(b^2-c^2)?
A.35
B.45
C.55
D.65
Answer: A.35
Explanation: (a^2-b^2)(b^2-c^2) = (a+b)*(a-b)*(b+c)*(b-c) = (a+b)*(-1)*(b+c)*(-1) = (a+b)*(b+c)
Therefore, the product should have factors with a difference of 2.
35 = 5*7, so this is a possible value for the original expression.
The answer is A.
Question: A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by C are?
A.11
B.18
C.45
D.17
Answer: C.45
Explanation: A:B = 2:3
B:C = 2:5
A:B:C = 4:6:15
15/25 * 75 = 45
Answer:C
Question: A fruit seller had some oranges. He sells 40% oranges and still has 360 oranges. How many oranges he had originally?
A.700
B.710
C.600
D.730
Answer: C.600
Explanation: 60% of oranges = 360
100% of oranges =(360×100)/6=600
total oranges = 700
ANSWER : C
Question: The width of a rectangle is 10mtr and its area is 150 square meter. If length of the rectangle is increased, then its new area is 1(1/3) times of the original area. What is the new perimeter of the rectangle?
A.45
B.54
C.67
D.60
Answer: D.60
Explanation: Ans.(D)
Sol. Length of original rectangle = 150/10 = 15
(10*(15+x))/(10*15) = 4/3
x = 5
Perimeter of new rectangle = 2(10+20) = 60
Question: circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
A.44
B.55
C.66
D.78
Answer: A.44
Explanation: π (152 - 132) = 176
176 * 1/4 = Rs.44.Answer: A
Question: Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?
A.80 kmph
B.60 kmph
C.10 kmph
D.70 kmph
Answer: D.70 kmph
Explanation: Explanation:
By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.
By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.
By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.
So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.
Answer: D
Question: What is the greatest number of three digits which is divisible by 8, 16, 32 ?
A.997
B.992
C.999
D.998
Answer: B.992
Explanation: Greatest number of 3 digits = 999
LCM of 8, 16, 32 = 32
999 ÷ 32 = 31, remainder = 7
Hence, greatest number of four digits which is divisible by 8,16,32
= 999 - 7 = 992
answer : B
Question: If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following?
A.2
B.5
C.6
D.8
Answer: D.8
Explanation: (n+1)(n+3)(n+1)(n+3) is odd only when both (n+1)(n+1) and (n+3)(n+3) are odd. This is possible only when nn is even.
Hence, n=2mn=2m, where mm is a positive integer. Then,
(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)(n+2)(n+4)=(2m+2)(2m+4)=2(m+1)2(m+2)=4(m+1)(m+2)
=4 * (product of two consecutive positive integers, one which must be even)=4 * (product of two consecutive positive integers, one which must be even) =4 * (an even number), and this equals a number that is at least a multiple of 8=4 * (an even number), and this equals a number that is at least a multiple of 8
Hence, the answer is (D).
Question: A single discount equivalent to the discount series of 20%, 10% and 5% is?
A.31.5
B.31.3
C.31.6
D.31.1
Answer: C.31.6
Explanation: 100*(80/100)*(90/100)*(95/100) = 68.4
100 - 68.4 = 31.6
Answer:C
Question: The average of three numbers is 48. The average of two of these numbers is 56%. What is the third number?
A.64
B.32
C.46
D.75
Answer: B.32
Explanation: B
32
The total of three numbers must be 48 x 3 = 144. The total of two numbers must be 56 x 2 = 112.
Therefore, 144 - 112 = 32.
Question: When integer b is divided by 13, the remainder is 6. Which of the following cannot be an integer?
A.13b/52
B.b/26
C.b/17
D.b/12
Answer: B.b/26
Explanation: According to Bunuel's solution, since "b" is not divisible by 13, "b" will not be divisible by any integer which has 13 as factor so that b/26 (i.e., 2 * 13) cannot result in an integer.
For option A, 13b/52, even though the denominator has 13 as factor, this is cancelled out by the 13 in the numerator, resulting in an integer.
Alternatively, you can also plug in numbers:
b
6
19 (= 6 + 13)
32 (= 19 + 13)
45 (= 32 + 13)
58 (= 45 + 13)
71 (= 58 + 13)
84 (= 71 + 13)
97 (= 84 + 13)
110 (= 97 + 13)
123 (= 110 + 13)
136 (= 123 + 13)
149 (= 136 + 13)
.
.
. etc
You realise that 6 and 84 are divisible by 6; 84 is divisible by 12; 136 is divisible by 17; but none of the numbers for integer "b" are divisible by 13 or an integer with 13 as a factor!
So b/26 will not result in an integer.
ANSWER:B
Question: If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,711 minutes earlier? (Assume standard time in one location.)
A.6:22
B.6:24
C.6:27
D.6:36
Answer: D.6:36
Explanation: 6:27minus 2,880,711in any way must end with 6, the only answer choice which ends with 6 is D.
Answer: D.
Question: Anthony and Michael sit on the six-member board of directors for company E. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
A.20%
B.30%
C.40%
D.50%
Answer: C.40%
Explanation: Soln: Let the commitees be I and II
Assuming that Anthony and Michael E go into commitee I, there is just one more place left to be filled in that commitee and it can be taken by any of the 4 remaining people. Thus 4 ways.
Since the Anthony and Michael can also go into commitee II, we get 4 ways for that commitee also.
So in total = 8 ways
Now total number of ways of choosing 3 from 6 people is
= 6C3
= 6 * 5 * 4/3!
= 20 ways
Therefore Probability is = (8 /20) * 100 = 40%
Question: What is the remainder when 23415 is divided by 3?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: If the sum of the digits of a number is divisible by 3, the number will be divisible by 3.
2+3+4+1+5 = 15
The nearest multiple of 3 is 15.
15-15= 0.
ANSWER:A
Question: If x/(11p) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
A. 22
B. 33
C. 44
D. 66
Answer: C. 44
Explanation: x/(11p) = even prime number
x = even prime number * 11p
Least value of x = Lowest even prime number * 11 * Lowest value of p
= 2 * 11* 2 = 44
Answer C
Question: ? x 40 = 173 x 240
A.545
B.685
C.1038
D.495
Answer: C.1038
Explanation: Let y x 40 = 173 x 240
Then y = (173 x 240) / 40
= 1038
ANSWER :C
Question: Pick a team of 3 people from a group of 10 people.
A.a) 20
B.b) 40
C.c) 80
D.d) 120
Answer: D.d) 120
Explanation: 10c3 = 120
Answer is D.
Question: If from a group of 5 people, an old member is replaced by a new one, the average age is same as it was 3 years ago. What is the difference between the ages of the old member and the new one?
A.15
B.77
C.19
D.66
Answer: A.15
Explanation: Explanation:
The present average age is (x + 3) when the old member is present and it equals to x when an old member is replaced by a new one.
The difference in the ages of the old member and the new one is equal to the difference in the total age before and after the replacement = 15 years.
ANSWER:A
Question: a equilateral triangle having one side 5m.in this triangle there is a square of side 2m.calculate the percentage of area outside square in that triangle.
A.68
B.54
C.63.04
D.62
Answer: C.63.04
Explanation: area of triangle=âˆš3a2/4.=1.732*25/4=10.825m2.
area of square=2*2=4m2.
rest area after square=10.825-4=6.825m2.
%rest area after square=6.825/10.825*100=63.04%
answer C
Question: A palindrome is a number that reads the same forward and backward, such as 144. How many odd, 4-digit numbers are palindromes?
A.40
B.45
C.50
D.62
Answer: D.62
Explanation: A palindrome is a number that reads the same forward and backward. Examples of four digit palindromes are 1221, 4334, 2222 etc
You basically get to choose the first two digits and you repeat them in opposite order. Say, you choose 45 as your first two digits. The next two digits are 54 and the number is 4554.
Also, you need only odd palindromes. This means that you need an odd digit at the end i.e. 1/3/5/7/9. This means that you need to start the number with an odd digit. Only then will it end with an odd digit.
In how many ways can you pick two digits such that the first one is an odd digit?
The first digit can be selected in 5 ways.(1/3/5/7/9)
The second digit can be selected in 10 ways.(0/1/2/3...8/9)
Total = 5*12 = 62 ways
D
Question: In how many ways can you sit 8 people on a bench if 4 of them must sit together?
A.720
B.2,160
C.2,880
D.4,320
Answer: C.2,880
Explanation: In such questions, always tie the person that have to sit together. So we have effectively 4+1= 5 persons to arrange.
They can be arranged in 5! ways.
Now the 4 persons can themselves be arranged in 4! ways.
Total ways: 5!*4! = 2880.
C is the answer.
Question: The average of marks obtained by 120candidates was 35. If the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15, the no.of candidates who passed the examination is?
A.80
B.90
C.100
D.120
Answer: C.100
Explanation: Let the number of candidate who passed = y
Then, 39y + 15(120 - y) =120 x 35
⇒ 24y= 4200 -1800
∴ y= 2400 / 24 = 100
C
Question: A fair price shopkeeper takes 10% profit on his goods. He lost 20% goods during theft. His loss percent is:
A.10
B.13
C.12
D.18
Answer: C.12
Explanation: C
12%
Suppose he has 100 items.
Let C.P. of each item be $ 1.
Total cost = $100. Number of items left after theft = 80.
S.P. of each item = $1.10
Total sale = 1.10 * 80 = $88
Hence, loss % = 12/100 * 100 = 12%
Question: If x, y, and z are all factors of 33, which of the following must be true?
A.The product xyz > 33
B.Either x = y, y = z, or x = z
C.x – y – z = even
D.The product xyz is odd
Answer: D.The product xyz is odd
Explanation: All the factors of 33 are odd numbers.
The product of odd numbers is odd.
The answer is D.
Question: If the average (arithmetic mean) of x, x + 2, and x + 4 is 63, what is the value of x?
A.60
B.62
C.64
D.61
Answer: D.61
Explanation: AM of x, x + 2, and x + 4 = x + (x + 2) + (x + 4) / 3 = 3x + 6 /3 = x + 2
Given that x + 2 = 63
x = 61
Answer : D
Question: A goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds.What is the length of the goods train?
A.230 m
B.240 m
C.260 m
D.270 m
Answer: B.240 m
Explanation: s=280+x/t
72*5/18=280+x/26
x=240
ANSWER:B
Question: If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is:
A.3:4:5
B.12:15:20
C.20:15:12
D.6:8:10
Answer: C.20:15:12
Explanation: 6A = 8B = 10 C
A:B:C = 1/6:1/8:1/10
= 20:15:12
ANSWER:C
Question: If an amount of Rs 11,180 is divided equally among
52 students, approximately how much amount will
each student get?
A.Rs 215
B.Rs 210
C.Rs 213
D.Rs 218
Answer: A.Rs 215
Explanation: Amount received by each student = 11180/52 â‰ˆ Rs
215
Answer A
Question: Three years ago , the average age of A, B and C was 27 years and that of B and C 5 years ago was 20 years. A’s present age is :
A.22
B.88
C.40
D.87
Answer: C.40
Explanation: Explanation:
Sum of the present ages of A, B and C = (27× 3 + 3 × 3) years = 90 years.
Sum of the present ages of B and C = (20 × 2 + 5 × 2) years = 50 years.
A's present age = 90 – 50 = 40 years.
Answer: C
Question: Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
A.60/17 hr
B.22/7 hr
C.52/11 hr
D.6 hr
Answer: B.22/7 hr
Explanation: Net part filled in 1 hour = 1/4 + 1/6 - 1/8= 7/22
The tank will be full in 22/7 hr
Answer is B
Question: There are 4 boys and 2 girls. In how many ways can they be seated in a row so that all the two girls do not sit together?
A.630
B.716
C.564
D.846
Answer: B.716
Explanation: The required number of ways = (4+2)! - (4-2)!*2! = 6!-2!*2! = 720-4 = 716
Answer is B
Question: What is the remainder when 4990990900032 is divided by 32 ?
A.16
B.0
C.4
D.2
Answer: B.0
Explanation: Though i was unaware of the divisibility test for 32 but i guessed the pattern!!
divisibility rule for 4- last two digits must be divisible by 4
divisibility rule for 8- last three digits must be divisible by 8
similarly, divisibility rule for 32 - last five digits must be divisible by 32
Hence, Ans B
Question: Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
A.6157
B.6187
C.6128
D.6150
Answer: D.6150
Explanation: The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15
= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60
Let us consider the four amounts to be 45k, 60k, 81k and 60k respectively.
The total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k
It is given that A paid Rs. 1125
45k = 1125 => k = 25
246k = 246(25) = Rs. 6150
Thus the total rent paid by all the four agencies is Rs. 6150.
Answer: D
Question: The length T of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?
A.Decreases by 19%
B.Decreases by 25%
C.Increases by 6%
D.Increases by 19%
Answer: D.Increases by 19%
Explanation: Let the length T of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy
Now after the change Length = 85x, and width = 140 y. Area = 11900xy
% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence D.
Question: The floor of a rectangular room is 20 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
A.144 m2
B.120 m2
C.108 m2
D.158 m2
Answer: A.144 m2
Explanation: Area of the outer rectangle = 24 Ã— 16 = 384 m2
Area of the inner rectangle = 20 Ã— 12 = 240 m2
Required area = (304 â€“ 180) = 144 m2
Answer A
Question: Anup start a bike at 6am. and rides it at 60kmph. Raghu started at 7pm with his car at 70kmph. When will Raghu overtake Anup?
A.8:30am
B.9:40am
C.10:00am
D.01:00pm
Answer: D.01:00pm
Explanation: Suppose bike is overtaken by car xhrs after 6am
Distance covered by the bike in x hrs = distance covered by the car in x-1 hr
60x = 70(x-1)
10x = 70
x = 7 hrs
Required time = 6+7 = 01:00Pm
Answer is D
Question: The average of first thirteen prime numbers which are odd is?
A.20.15
B.21.15
C.22.15
D.23.15
Answer: B.21.15
Explanation: Explanation:
Sum of first 13 prime no. which are odd = 275
Average = 275/13 = 21.15
Answer:B
Question: A train passes a station platform in 48 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A.123
B.166
C.420
D.157
Answer: C.420
Explanation: Speed = [54 * 5/18] m/sec = 15 m/sec.
Length of the train = (15 * 20) m = 300 m.
Let the length of the platform be x meters.
Then, (x + 300) / 48 = 15
x + 300 = 720
x = 420 m.
Answer: C
Question: What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
A.20%
B.28%
C.27%
D.40%
Answer: A.20%
Explanation: SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 80
SP1 = 120
100 --- 20 => 20%
Answer:A
Question: A Car comes with 7 different possible exterior colors and 6 different interior colors. How many different color combinations are there?
A.26
B.42
C.7!6!/2!
D.7!6!
Answer: B.42
Explanation: For each exterior color out of 7 there are 6 different interior colors possible, so there are total of 7*6=42 color combinations. This is basically the same as Principle of Multiplication: if one event can occur in mm ways and a second can occur independently of the first in nn ways, then the two events can occur in mnmn ways.
Answer: B.
Question: Two goods trains each 750 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
A.72
B.45
C.48
D.51
Answer: A.72
Explanation: Relative speed = 45 + 30 = 75 km/hr.
75 * 5/18 = 125/6 m/sec.
Distance covered = 750 + 750 = 1500 m.
Required time = 1500 * 6/125 = 72 sec.
Answer: Option A
Question: Average of five numbers is -10, and the sum of three of the numbers is 16, wat is the average of the other 2 no's?
A.-33
B.23
C.-34
D.-39
Answer: A.-33
Explanation: Let the five numbers be a, b, c, d, e. Then their average is (a+b+c+d+e5)=10.(a+b+c+d+e5)=10.
Now three of the numbers have a sum of 16, say, a+b+c=16a+b+c=16.
So substitute 16 for a+b+ca+b+c in the average above: (16+d+e5)=10.(16+d+e5)=10.
Solving this equation for d+ed+e gives d+e=−66d+e=−66.
Finally, dividing by 2 (to form the average) gives (d+e2)=−33.(d+e2)=−33.
Hence, the answer is A: -33
Question: A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
A.11:10:15
B.20:17:23
C.19:19:18
D.5:4:9
Answer: C.19:19:18
Explanation: Explanation:
A:B:CA:B:C =(25 lakhsÃ—Ã—1)+(35 lakhsÃ—Ã—2) :(35 lakhsÃ—Ã—2+25 lakhsÃ—Ã—1) :(30 lakhsÃ—Ã—3)
= 95 lakhs : 95 lakhs : 90 lakhs =19:19:18=19:19:18.
ANSWER IS C
Question: If k^3 is divisible by 84, what is the least possible value of integer k?
A.36
B.42
C.48
D.56
Answer: B.42
Explanation: k^3 = 84*x = 2^2*3*7*x
The factors of k must at minimum include 2*3*7 = 42.
The answer is B.
Question: The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 20 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window seat and thw window seat is assigned randomly, what is the probability that the person will get a seat with an unobscured view?
A.1/6
B.1/3
C.2/3
D.5/6
Answer: B.1/3
Explanation: priyalr
6 seats per row, think of a boeing 737. We have 30 rows, therefore window 30 seats one one side and 30 window seats on the other, totaling 60 window seats on the whole plane.
the view of the window of 20 rows is blocked. two wings, therefore 40 window seats are blocked.
Total window seats = 60
Total blocked window seats = 40
Total unblocked seats = 20
We know that a window seat was given, therefore probability for not window seat is 20/60 =1/3
ANS B
Question: A pool which was 1/5 full to begin with, was filled at a constant rate for 6/5 hours until it was until it was 8/9 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with?
A.8 hrs 45 mins.
B.9 hrs.
C.9 hrs 30 mins.
D.1 hrs 45 mins.
Answer: D.1 hrs 45 mins.
Explanation: The pool was 1/5 full initially.
In 6/5 hrs, it was filled to 8/9 of its capacity.
Therefore, in 6/5 hrs, 8/9 - 1/5 was the amount of volume filled.
So, 6/5 hrs = 8/9 - 1/5 = 31/45
Therefore, for filling the vessel from empty to full, you would require 6/5 * 45/31 = 1 Hrs 45 Mins.
Hence D
Question: The difference between the number and its three fifth is 40, what is the number?
A.80
B.100
C.90
D.120
Answer: B.100
Explanation: Explanation:
Let the number be x. Then,
x - (3/5)x = 40
(2/5)x = 40
x = (40 x 5)/2 = 100
Answer: Option B
Question: A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.25 per metre of cloth. How much profit will the trder earn on 40 metres of cloth?
A.Rs.950
B.Rs.1500
C.Rs.1000
D.Rs.1200
Answer: C.Rs.1000
Explanation: Explanation:
SP of 1 metre cloth = 8200/40 = Rs.205.
CP of 1 metre cloth = Rs.205 – 25 = Rs.180
CP on 40 metres = 180 x 40 = Rs.7200
Profit earned on 40 metres cloth = Rs.8200 – Rs.7200 = Rs.1000.
Answer: Option C
Question: Three 6 faced dice are thrown together. The probability that all the three show the same number on them is
A.1/87
B.1/36
C.1/18
D.1/76
Answer: B.1/36
Explanation: It all 3 numbers have to be same basically we want triplets. 111, 222, 333, 444, 555 and 666. Those are six in number. Further the three dice can fall in 6 * 6 * 6
= 216 ways.
Hence the probability is 6/216
= 1/36
Answer: B
Question: If the seventh day of a month is three days earlier than Friday, What day will it be on the nineteenth day of the month?
A.Saturday
B.Monday
C.Sunday
D.Wednesday
Answer: C.Sunday
Explanation: Explanation:
Given that seventh day of a month is three days earlier than Friday
=> Seventh day is Tuesday
=> 14th is Tuesday
=> 19th is Sunday
Answer: Option C
Question: A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
A.9
B.7
C.4
D.8
Answer: A.9
Explanation: (30*30)/100
= 9%loss
Answer:A
Question: How many 4 digit even numbers do not use any digit more than once
A.1720
B.2160
C.2240
D.2460
Answer: C.2240
Explanation: A B C D ( thousand , hundreds, tens, units)
D can be 0 2 4 6 8 ( any of the 5 digits )
A can be anything except (D or 0) so 8 possibilities
C can be anything except A and B so 8 possibilities
B can be anything except ( A D C ) so 7 possibilities
total ways are 8 * 7 * 8 * 5 = 2240
ANS:C