RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Three friends are buying a gift for a friend. Declan contributes 4 dollars more than 1/4 the cost of the gift, Ed contributes 1 dollar less than 1/3 the cost of the gift, and Frank contributes the remaining 20 dollars. What is the cost of the gift?
A.48
B.54
C.60
D.55.2
Answer: D.55.2
Explanation: Declan = D, Ed = E, Frank = F
t = total
D + E + F = t
(t/4 + 4) + (t/3 - 1) + 20 = t
t = 23 + (7t/12)
12t = 23(12) + 7t
5t = 23(12)
t = 55.2
The correct answer is D.
Question: A pharmaceutical company received $4 million in royalties on the first $24 million in sales of generic equivalent of one of its products and then $5 million in royalties on the next $60 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $24 million in sales to the next $60 million in sales?
A.10%
B.20%
C.25%
D.30%
Answer: B.20%
Explanation: change in ratio of royalties to sales = 4/24 -5/60 = 1/12
% decrease = (1/12)/(4/24) *100 = 20%
Answer: B)
Question: In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
A.1140
B.1440
C.1420
D.1460
Answer: B.1440
Explanation: 4 vowels out of which two are identical can be arranged in even places in 4!/2!=12 # of ways.
Remaining 5 letters can be arranged in 5!=120 # of ways.
Total 12*120=1440.
ans:B
Question: If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?
A.$3500
B.$5000
C.$4830
D.$7000
Answer: C.$4830
Explanation: Saving = (42-28)% of 34500 = 4830.
Answer:C
Question: What will come in place of the x in the following Number series? 5,28,57,88,125
A.123
B.155
C.166
D.178
Answer: C.166
Explanation: 28=23+5
57=29+28
88=31+57
125=37+88
166=41+125
=166
C
Question: The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is:
A.21
B.20
C.22
D.25
Answer: A.21
Explanation: Let the total number of workers be x. Then,
8000x = (12000 * 7) + 6000(x - 7)
= 2000x = 42000
= x = 21.
ANSWER A
Question: When n is divided by 24, the remainder is 4. What is the remainder when 3n is divided by 8?
A.3
B.4
C.5
D.6
Answer: B.4
Explanation: Let n=4 (leaves a remainder of 4 when divided by 24)
3n = 3(4) =12, which leaves a remainder of 4 when divided by 8.
Answer B
Question: Let D represent a set of four distinct prime numbers. If the sum of the numbers in D is even and x is a member of D, then what is the least possible value that x can be?
A.1
B.2
C.3
D.5
Answer: C.3
Explanation: We are told that D is a set of four distinct prime numbers, and the sum of the numbers in D is even. Since the question involves odds, evens and the smallest possible prime, you should immediately think of 2, the smallest prime number and the only even prime number.
If 2 were a member of the set, then we would have one even number and three odd numbers. Since such sum would always be odd, 2 cannot be a member of the set. Thus, all the members of D must be odd to yield an even sum.
Since all the members of the set must be odd prime numbers, the answer is the smallest odd prime number, which is 3.
The correct answer is choice (C).
Note:1 is not a prime number.
Question: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?
A.41
B.43
C.31
D.84
Answer: A.41
Explanation: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12
Work done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48
Remaining work = 1 - 7/48 = 41/48
Work done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48
Therefore, Number of boys required = ((41/48) x 48) = 41
ANSWER:A
Question: Find the area between two concentric circles defined by
x2 + y2 -2x + 4y + 1 = 0
x2 + y2 -2x + 4y - 11 = 0
A.11 Pi
B.12 Pi
C.13 Pi
D.14 Pi
Answer: B.12 Pi
Explanation: Rewrite equations of circles in standard form. Hence equation x2 + y2 -2x + 4y + 1 = 0 may be written as
(x - 1)2 + (y + 2) 2 = 4 = 22
and equation x2 + y2 -2x + 4y - 11 = 0 as
(x - 1)2 + (y + 2) 2 = 16 = 42
Knowing the radii, the area of the ring is Pi (4)2 - Pi (2)2 = 12 Pi
correct answer is B) 12 Pi
Question: In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
A.210
B.220
C.230
D.240
Answer: A.210
Explanation: 7p3 = 7 × 6 × 5 = 210
A)
Question: A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 2 rows or 7 rows or 9 rows, then no tree will be left. Find the least number of trees required
A.22
B.60
C.126
D.76
Answer: C.126
Explanation: Explanation:
The least number of trees that are required = LCM(2, 7, 9) = 126
Answer: C
Question: What will be the remainder of the following division:
(1234567....141516...20212223....404142)/43?
A.0
B.1
C.2
D.3
Answer: A.0
Explanation: first add the digits
1+2+3+.........+42
=>903
then 903 divided by 43
because it is the rule of division by 43( a prime number)
so 903%43=0
% is modulo operator it returns the remainder part
ANSWER:A
Question: It takes 6 tons of copper ore and 15 tons of iron ore to make one ton of alloy A. How many tons of alloy A can be made from 60 tons of copper ore and 90 tons of iron ore?
A. 4
B. 5
C. 6
D. 7
Answer: C. 6
Explanation: Yes, you need copper ore:iron ore in the ratio 6:15. Total 21 tons of the mix in this ratio will give 1 ton of alloy A.
If you have 60 tons of copper ore, it is enough for 60/6 = 10 tons of alloy A.
If you have 90 tons of iron ore, it is enough for 90/15 = 6 tons of alloy A.
Since iron ore is available for only 6 tons of alloy A, you can make only 6 tons of alloy A.
The leftover copper ore alone cannot make any alloy A and hence will be leftover only.
Answer must be 6.
(C)
Question: Two trains running opposite to each other with a speed of 60kph and 55kph having lengths of 180m and 200m respectively. How long it will take the trains to completely pass each other(in seconds)?
A.9.89
B.10.21
C.11.89
D.14.22
Answer: C.11.89
Explanation: Speed of the train relative to each other=60+55=115kph=31.94m/s
Distance need to be covered=180+200=380m
Time taken by the trains to pass each other=380/31.94=11.89s
Answer: C
Question: Two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. At what time will they be 450 miles apart?
A.8am
B.10am
C.11am
D.12am
Answer: B.10am
Explanation: After t hours the distances D1 and D2, in miles per hour, traveled by the two cars are given by
D1 = 40 t and D2 = 50 t
After t hours the distance D separating the two cars is given by
D = D1 + D2 = 40 t + 50 t = 90 t
Distance D will be equal to 450 miles when
D = 90 t = 450 miles
t = 5 hours.
5 am + 5 hours = 10 am
Answer:B
Question: Which of the following options is equal to 2.71 x 10(power 7)?
A.27100000
B.27500000
C.27200000
D.21100000
Answer: A.27100000
Explanation: = 2.71 x 10(power 7)
= 2.71 x 10000000
= 27100000.
Answer is A.
Question: X, Y, W and Z are intezers and the expressing X - Y - Z is even and Y - W - Z is odd. If X is even then which of
A.W must be odd
B.J must be odd
C.Y must be odd
D.Z must be odd
Answer: A.W must be odd
Explanation: Ans. If X is even and X - Y - Z is even then Y and Z both should be odd or both should be even.
If Y - W - Z is odd, and Y and Z are also odd W should be odd
If Y - W - Z is even, and Y and Z are even then W should be odd.
W must be ODD
Answer:A
Question: 10 distinct integers are arranged in ascending order. The range of the first 7 is 25 and that of last 7 is 30. What is the maximum range R of the 10 numbers?
A.25
B.27
C.30
D.52
Answer: D.52
Explanation: Positions: 1 2 3 4 5 6 7 8 9 10
Given: 1st position = x; 4th position = a; 7th position = y; 10th position = b
y - x = 25
Let x be 0 and y = 25. We are asked to maximize the range and the integers are distinct.
b - a = 30 --> b = 30 + a
In order to increase the range, we have to maximize the value of 'b'.
'b' can be maximized by taking the max value of 'a'.
From the assumed values, maximum value of 'a' can be 22.
Therefore, b = 30 + 22 = 52
Range R= 52 - 0 = 52
Answer: D
Question: A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
A.2400
B.2888
C.2766
D.91987
Answer: A.2400
Explanation: 1200 * 12: x * 9 = 2:3
x = 2400
Answer: A
Question: In the youth summer village there are 200 people, 100 of them are not working,75 of them have families and 125 of them like to sing in the shower. What is the largest possible number of people in the village, which are working, that don't have families and that are singing in the shower?
A.125
B.150
C.100
D.130
Answer: C.100
Explanation: total =200
not working =100
having family=75
like to sing in shower = 125
working=200-100=100
not having family = 200-75=125
like to sing in shower = 125
largest possible number is the lowest possible among the above
Thus 100
C
Question: There are nine leopards and one sheep.
Leopard can eat sheep but since as the land is magical, the leopards who eats the sheep , turns into sheep and then can be eaten by the remaining leopard(s).
If we leave them for some time then how many sheep and leopard will be there , when we come back ?
A.7 leopard and 3 sheep
B.8 leopard and 1 sheep
C.6 leopard and 4 sheep
D.5 leopard and 1 sheep
Answer: B.8 leopard and 1 sheep
Explanation: B
8 leopard and 1 sheep
since all animal are rational , once 1st leopard eats the sheep all the rest of leopard would know about this.
Question: Two whales are moving in the same direction at 60 kmph and 42 kmph. The faster whale manages to cross the other whale in 14 seconds. Find the length of the faster whale in meters.
A.110 m
B.45 m
C.70 m
D.120 m
Answer: C.70 m
Explanation: Relative speed = ( 60 - 42 ) * 5 / 18 = 5 mps.
Distance covered in 14 seconds = 14 * 5 = 70 m.
The length of the faster whale = 70m.
Answer: C
Question: Two numbers are respectively 20% and 25% more than a third number. So find the percentage that is first of the second is?
A.96
B.20
C.35
D.78
Answer: A.96
Explanation: First - 120
second - 125
third - 100
125----120
100-----96
ANSWER A
Question: A, B and C invested Rs.6000, Rs.7200 and Rs.10800 respectively, in a partnership business. Find the share of C in profit of Rs.19000 after a year?
A.3630
B.5580
C.19000
D.8550
Answer: D.8550
Explanation: Explanation:
6000 :7200 : 10800
5:6:9
9/20 * 19000 = 8550
Answer: D
Question: There are 22 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl.
A.1 year
B.1 years 2 months
C.3 years 8 months
D.4 years
Answer: C.3 years 8 months
Explanation: Total decrease = 22 * 2 = 44 months
= 3 years 8 months
C
Question: One-third of 1206 is what percent of 162?
A.324.11
B.300.12
C.248.14
D.None of these
Answer: C.248.14
Explanation: Answer
Let one-third of 1206 is N% of 162.
∵ 1206/3 = (N x 162)/100
∴ N = (402 x 100) / 162= 248.14
Correct Option: C
Question: 7th number in the series....
99,18,36,9,18
A.17
B.18
C.19
D.20
Answer: B.18
Explanation: its 7 th number in the series 99,18,36,9,18,_,?
99 18.....9+9=18*2=36
36 9.......3+6=9*2=18
18 ?........1+8=9*2=18
ANSWER:B
Question: If x = 1/8 and y = -1/2, what is the value of the expression -2x – y^2?
A.-3/2
B.-1/2
C.1
D.3/2
Answer: B.-1/2
Explanation: -2X- y^2
-2x1/8 - (1/2)^2
-1/4-1/4
-1/2
B correct
Question: On a shelf, 2 books of Geology, 2 books of Sociology and 5 of Economics are to be arranged in such a way that the books of any subject are to be together. Find in how many ways can this be done?
A.2880
B.2778
C.2682
D.8222
Answer: A.2880
Explanation: Explanation:
There are books of 3 subjects (Geology, Sociology and Economics), hence they can be arranged in 3! (3 * 2 * 1) = 6 ways.
Further, in each category (subject), books are to be arranged in different order, we get,
Required number of ways: 3! * [2! * 2! * 5!] = 2880
ANSWER: A
Question: What is the value of m and n ?
if log3m/log3n=log 52
A.1,5
B.2,5
C.3,5
D.4,5
Answer: B.2,5
Explanation: log (base a) b=log(base n)b/log(base n)a
here base are same in reverse way of formula
so
log(base n)m=log(base 5) 2
hence
n=5,m=2
ANSWER:B
Question: A small beaker is 1/2 filled with salt water. Another beaker, which has five times the capacity of the small beaker, is 1/2 filled with fresh water. After dumping all of the salt water from the small beaker into the large beaker, to what fraction of its capacity will the large beaker be filled?
A.2/5
B.3/5
C.3/10
D.7/20
Answer: B.3/5
Explanation: 1/2 of the small beaker is 1/10 of the large beaker.
1/10 + 1/2 = 3/5
The answer is B.
Question: A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?
A.338
B.277
C.463
D.456
Answer: C.463
Explanation: D = 60 * 5/18 = 35 = 583 – 120 = 463
Answer: C
Question: Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 25 seconds, what is the ratio of their speeds?
A.1:3
B.4:1
C.2:3
D.3:2
Answer: B.4:1
Explanation: Let the speed of the trains be x and y respectively
length of train1 = 27x
length of train2 = 17y
Relative speed= x+ y
Time taken to cross each other = 25 s
= (27x + 17 y)/(x+y) = 25
= (27x + 17 y)/ = 25(x+y)
= 2x = 8y
=x/y = 8/2 = 4/1 i.e 4:1
Answer :B
Question: If Jake loses 12 pounds, he will weigh twice as much as his sister. Together they now weigh 156 pounds. What is Jake’s present weight, in pounds?
A.108
B.135
C.139
D.147
Answer: A.108
Explanation: Lets say J is the weight of Jack and S is the wt of his sister.
If he loses 8 pounds, he s twice as heavy as his sister.
J-12=2*S
Also, together they weight 156 pounds
J+S=156
solvong the 2 equation ,we get J=108 pounds !
A
Question: Three-twentieths of the members of a social club are retirees who are also bridge players, eight-twentieths of the members are retirees, and one-half of the members are bridge players. If 120 of the members are neither retirees nor bridge players, what is the total number of members in the social club?
A.240
B.160
C.360
D.400
Answer: B.160
Explanation: {Total} = {Retirees} + {Bridge players} - {Both} + {Neither}
x = 8/20*x + x/2 - 3/20*x + 120
20x = 8x + 10x - 3x + 120*20 (multiply by 20)
15x = 120*20
x = 160
Answer: B
Question: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40
A.21
B.25
C.40
D.47
Answer: C.40
Explanation: The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.
C
Question: The contents of a certain box consist of 24 carrots and 30 kiwis. How many kiwis must be added to the box so that exactly 30% of the pieces of fruit in the box will be carrrots?
A. 24
B. 26
C. 30
D. 46
Answer: B. 26
Explanation: carrrots = (carrrots + kiwi + x)*0.3
24 = (30 + 24 + x)*0.3
x = 26.
Answer: B.
Question: Convert the 12/43 m/s into kilometers per hour?
A.3.5 kmph.
B.2.5 kmph.
C.1 kmph.
D.1.5 kmph.
Answer: C.1 kmph.
Explanation: 12/43 m/s = 12/43 * 18/5 = 1 (1/250) = 1 kmph.
ANSWER:C
Question: How many different positive integers exist between 10^3 and 10^4, the sum of whose digits is equal to 2?
A.6
B.7
C.5
D.4
Answer: D.4
Explanation: So, the numbers should be from 1,000 to 10,000
The following two cases are possible for the sum of the digits to be 2:
1. Two 1's and the rest are 0's:
1,001
1,010
1,100
3 numbers.
2. One 2 and the rest are 0's:
2,000
1 number.
Total = 4 numbers.
Answer:D
Question: The average (arithmetic mean) of four distinct positive integers is 20. If the average of the smaller two of these four integers is 24, which of the following represents the maximum possible value of the largest integer?
A.8
B.16
C.36
D.20
Answer: C.36
Explanation: Let the distinct number be A,B,C, and D
Its given A > B > C > D
also A + B + C + D =80 and A + B = 24 means C + D = 56
Since the question ask for the largest possible number we should choose the least value for A and B,C. So D should be 36. If D=36 then C = 20 > A,B <20
Answer : C
Question: If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
A.8
B.7
C.5
D.2.0
Answer: D.2.0
Explanation: Explanation:
M1*D1*W2 = M2*D2*W1
10*3*10*32 = 30*d*8*20
d = 2 days
ANSWER: D
Question: There are 4 sections with 6 questions each. If two questions are selected from each section, the chance of getting different questions is________
A.225
B.245
C.300
D.240
Answer: A.225
Explanation: we have to select two questions from each section so the chances are 6C4.6C4=225
ANSWER:A
Question: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
A.231
B.756
C.125
D.451
Answer: B.756
Explanation: We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways	= (7C3 x 6C2) + (7C4 x 6C1) + (7C5)
= (525 + 210 + 21)
= 756.
Ans: B
Question: The average of first six prime numbers which are between 50 and 90 is
A.35.4
B.42
C.45.7
D.64
Answer: D.64
Explanation: Explanation :
first six prime numbers which are between 50 and 90 = 53, 59, 61, 67, 71, 73
average = (53 + 59 + 61 + 67 + 71 + 73)/6
= 64
Answer : D
Question: A bicyclist travels uphill from town A to town B for 2 hours at an average speed of 7 miles per hour and returns along the same road at an average speed of 6 miles per hour. What is the bicyclist’s average speed for the round trip, in miles per hour?
A.(a) 24/5
B.(b) 5
C.(c) 26/5
D.(d) 84/13
Answer: D.(d) 84/13
Explanation: from the uphill we can find out the distance = 7*2 = 14
average speed = total distance/total time
= 28/ (2+ (14/6)) = 84/13
Answer is D.
Question: Two trains are moving at 85 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
A.5 25/31 sec
B.7 1/17 sec
C.7 2/2 sec
D.8 1/2 sec
Answer: A.5 25/31 sec
Explanation: 70 + 85 = 155 * 5/18 = 775/18 mps
D = 150 + 100 = 250 m
T = 250 * 18/775 = 180/31 = 5 25/31 sec
Answer: A
Question: In how many ways a group of 5 male and 2 female be made out of a total of 7 male and 3 female?
A.55
B.78
C.63
D.89
Answer: C.63
Explanation: req no of ways = 7c5*3c2 = 7*6/2*1 * 3 = 63
ANSWER C
Question: The least number which when subtracted from both the terms of the ratio 4 : 5 to give a ratio less than 14 : 23, is
A.2
B.3
C.4
D.5
Answer: B.3
Explanation: Explanation :
Let x is subtracted. Then, ((4 - x)/(5 - x)) < 14 / 23
23(4 - x) < 14(5 - x) => 9x > 22 = x > 2.4.
Least such number is 3.
Answer : B
Question: AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years at least 8 of them still work in AMS is ?
A.0.19
B.1.22
C.0.00363.
D.0.16
Answer: C.0.00363.
Explanation: Asking atleast 6 of them continue ,
it has 3 cases.
1 all 8 professors continue.
1st case all 8 continue is = 2/10*3/10*4/10*5/10*6/10*7/10*/8/10*9/10=
=>0.00363.
C
Question: A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 30% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk?
A.1:20
B.23:120
C.1:8
D.1:4
Answer: B.23:120
Explanation: water = w (liter)
Milk = m (liter)
==> Cost = Price x Quantity = 0.33m
==> Revenue = Price x Quantity = 0.36(m + w)
==> Profit =0.36(m+w) - 0.33m = 0.3*(0.33m)[30% of cost]
==> 0.36m + 0.36w - 0.33m = 0.099m
==> 0.069m = 0.36w
==> m/w = 0.36/0.069 = 120/23
--OR--
w/m = 23/120
B is correct.
Question: What is the largest 4 digit number exactly divisible by 88?
A.8844
B.9944
C.7744
D.6644
Answer: B.9944
Explanation: Largest 4 digit number = 9999
9999 ÷ 88 = 113, remainder = 55
Hence largest 4 digit number exactly divisible by 88
= 9999 - 55 = 9944
Answer is B.
Question: During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
A.32
B.40
C.55
D.64
Answer: D.64
Explanation: Total smelt = x.
Then, 0.5*80+0.3(x-80)=0.4*x --> x=160 --> 0.4*x=64.
Answer: D.
Question: A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. The area of the lawn is 2109 sq. m. what is the width of the road?
A.5 M
B.4 M
C.2 M
D.3 M
Answer: D.3 M
Explanation: AREA OF THE PARK = 60 * 40 = 2400 M^2
GIVEN AREA OF THE LAWN = 2109 M^2
TOTAL AREA OF THE CROSS ROADS = 2400 - 2109 = 291 M^2
ASSUME THAT THE WIDTH OF THE CROSS ROAD = X
= AREA OF ROAD 1 + ROAD 2- COMMON AREA CROSS ROAD
= 60X + 40 X - X^2
TOTAL AREA OF CROSS ROAD = 60X+40X-X^2 = 291 M^2
(X-97)(X-3) = 0
X =3
ANSWER D
Question: A family of 4 brothers and 3 sisters is to be arranged in a row, for a photograph. In how many ways can they be seated if all the sisters not together ?
A.4270
B.4820
C.4320
D.4620
Answer: C.4320
Explanation: Since the 3 sisters are inseperable, consider them as one single unit. This together with the 4 brothers make 5 persons who can be arranged among themselves in 5! ways. In everone of these permutations, the 3 sisters can be rearranged among themselves in 3!. Hence the total number of arrangement required = 5!x 3! =120x6=720. The number of arrangements of all the 7 persons without any restriction =7!= 5040 Number arrangement required =5040-720 =4320. Answer : C
Question: The avg weight of A,B & C is 55 kg. If D joins the group, the avg weight of the group becomes 60 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 58 kg. What is the weight of A?
A.56
B.65
C.75
D.86
Answer: D.86
Explanation: A + B + C = 3 *55 = 165
A + B + C + D = 4 * 60 = 240 ---- (i)
So, D = 75& E = 75 + 3 = 78
B + C + D +E = 58 * 4 = 232 --- (ii)
From Eq. (i) & (ii)
A-E = 240 – 232 = 8
A = E +8 = 78 + 8 = 86
Answer : D
Question: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 16?
A.7
B.10
C.34
D.47
Answer: B.10
Explanation: So the number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder
This means the remainder of 45/13 should be the remainder of the entire number N
which is 6
To make it divisible by 13 , the smallest number that can be added = 16 - 6 = 10
Correct Option : B
Question: A clock shows the time as 9 a.m. If the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p.m.?
A.45 minutes
B.55 minutes
C.35 minutes
D.25 minutes
Answer: A.45 minutes
Explanation: there are 9 hours in between 9 a.m. to 6 p.m.
9*5=45 minutes.
ANSWER:A
Question: A rich aristocrat decided that he would give every man rs.45 and every women Rs.60.Only one nineth of the man and only one twelfth of the women collected their dues .Can u tell me how much money thath aristocrat spent if their were 3552 people in total
A.17760
B.18540
C.16320
D.14640
Answer: A.17760
Explanation: iman=45 and 1women=60 then 1/9 man=1/9*45=5 and 1/12 of women=1/12*60=5
total people 3552 =3552*5=17760
ANSWER:A
Question: If â€˜KARNATAKAâ€™ is coded as â€˜BAIEABABAâ€™, then â€˜BIHARâ€™ is coded as
A.BARHI
B.BHARI
C.BHIAR
D.BIHAI
Answer: D.BIHAI
Explanation: M=13,1+3=4=D
A=1=A
SIMILARLY,
B=2=B
I=9=I
H=8=H
A=1=A
R=18=1+8=9=I
SO ANS IS
BIHAI
ANSWER:D
Question: Of the three numbers, the first is twice as second and three times the third. The average of the three numbers is 33, and the three numbers in order are?
A.54,27,18
B.98,49,33
C.126,63,36
D.108,54,36
Answer: A.54,27,18
Explanation: Explanation :
Solution: Let A =x,
B =x/2, C = x/3.
=x + x/2 + x/3 / 3 = 33
By solving we will get x = 54.
Hence A= 54
B= 54/2= 27
C= 54/3 = 18
Answer : A