RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: Which of the following numbers completes
the sequence 3, 8, 14, 21, 29,38, 48, ___?
A.35
B.36
C.37
D.59
Answer: D.59
Explanation: The numbers increase at a somewhat steady rate, so you have to figure out how much
you have to add to each number to produce the next in the sequence: 3 + 5 = 8; 8 + 6 = 14;
14 + 7 = 21; 21 + 8 = 29, and so on. The rule for the sequence is to add successively larger
numbers to each number; therefore, the next number is 48 + 11 = 59.
correct answer D)59
Question: The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
A.27
B.29
C.11
D.data inadequate
Answer: D.data inadequate
Explanation: Clearly, to find the average, we ought to know the number of boys, girls or students in the class, neither of which has been given.
So, the data provided is inadequate
Answer: D
Question: 3 years ago, Paula was 3 times as old as Karl. In 9 years, Paula will be twice as old as Karl. What is the sum of their ages now?
A.42
B.46
C.50
D.54
Answer: D.54
Explanation: P-3 = 3(K-3) and so P = 3K-6
P+9 = 2(K+9)
(3K-6)+9 = 2K+18
K = 15
P = 39
P+K = 54
The answer is D.
Question: The ratio of the cost price and the selling price is 4:5. The profit percent is?
A.17
B.56
C.25
D.28
Answer: C.25
Explanation: Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x
Gain = (5x - 4x) = Rs. x
Gain % = (x * 100)/ 4x = 25%.
Answer: C
Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A.290
B.350
C.287
D.272
Answer: B.350
Explanation: Speed = 300/18 = 50/3 m/sec.
Let the length of the platform be x meters.
Then, (x + 300)/39 = 50/3
3x + 900 = 1950 => x = 350 m.
Answer: B
Question: A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he
covers with aspeed 6km/hr. Total time of travel is 9 hours. What is the maximum distance he
can cover?
A.20km
B.40km
C.60km
D.80km
Answer: C.60km
Explanation: t=d/s, so
9=x/2*1/5+x/2*1/6(because half distance with 5 km/ph, and remaining half with 6km/hr)
9=x(18/120)
x=60km
ANSWER:C
Question: Students of three different classes appeared in common examination. Pass average of 10 students of first class was 45%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
A.74%
B.75%
C.67%
D.72%
Answer: C.67%
Explanation: Solution:
Sum of pass students of first, second and third class,
= (45% of 10) + (60% of 15)+ (80% of 25)
= 4.5+9+20 = 33.5
Total students appeared,
= 10+15+25 = 50
Pass average,
= 33.5*100/50 = 67%.
Answer: Option C
Question: A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A.100
B.120
C.140
D.150
Answer: D.150
Explanation: Let the length of the train be x meters and its speed be y m/sec.
They, x / y = 15 => y = x/15
x + 100 / 25 = x / 15
x = 150 m.
Answer: Option D
Question: A train 1020 m long running at 102 kmph crosses a platform in 50 sec. What is the length of the platform?
A.287
B.298
C.396
D.726
Answer: C.396
Explanation: D = 102 * 5/18 = 50
= 1416 â€“ 1020
= 396
Answer: C
Question: How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
A.7
B.8
C.9
D.10
Answer: B.8
Explanation: Sol.
112 pairs of shoes = 224 shoes.
= 224 ÷ 28
= 8
Answer : B
Question: Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Five other partners. In terms of q, how much did each of the other partners receive?
A.q/12
B.q/5
C.q/10
D.q/7
Answer: C.q/10
Explanation: Profit = q
Profit to company founder = q/2
Profit to other partners = q/2
Number of other partners = 5
Profit to each partner = (q/2)/5 = q/10
Answer: C
Question: How many ounces of a 60% salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
A.16.67
B.30
C.50
D.60.33
Answer: B.30
Explanation: let x=ounces of 60% salt solution to be added
.2*30+.6x=.4(30+x)
x=30
Answer B
Question: A pair of articles was bought for $50 at a discount of 10%. What must be the marked price of each of the article?
A.$25
B.$22.50
C.$29.65
D.$35.95
Answer: B.$22.50
Explanation: S.P. of each of the article = 50/2 = $25
Let M.P = $x
90% of x = 25
x = 25*.9 =$22.50
Answer is B
Question: What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
A.140
B.142
C.146
D.158
Answer: D.158
Explanation: D = d * Q + R
D = 17 * 9 + 5
D = 153 + 5
D = 158
Question: The average of five numbers id 27. If one number is excluded, the average becomes 23. What is the excluded number?
A.43
B.40
C.32.5
D.35
Answer: A.43
Explanation: Explanation:
Sum of 5 numbers = 5 × 27
Sum of 4 numbers after excluding one number = 4 × 23
Excluded number
= 5 × 27 - 4 × 23
= 135 - 92 = 43
Answer: Option A
Question: X can do a piece of work in 4 hours; Y and Z together can do it in 3 hours, while X and Z together can do it in 2 hours. How long will Y alone take to do it?
A.5hours
B.10hours
C.12hours
D.24hours
Answer: C.12hours
Explanation: X 1 hour's work =	1/4	;
Y+ Z's hour's work =1/3
X + Y + Z's 1 hour's work =1/4	+1/3	=7/12
Y's 1 hour's work =	(7/12-1/2	)=	1/12	.
Y alone will take 12 hours to do the work.
C
Question: The curved surface of a right circular cone of height 15cm and base diameter 16 cm is
A.40 ∏cm³
B.60 ∏cm³
C.136 ∏cm³
D.138 ∏cm³
Answer: C.136 ∏cm³
Explanation: Sol.
h = 14 cm, r = 7 cm. So, l = √r² + h² = √8² + (15)² = 17 cm.
∴ Curved surface area = ∏rl = (∏ * 8 * 17) cm² = 136∏ cm²
Answer C
Question: A boy runs 200 metres in 36 seconds. What is his speed ?
A.20 km/hr
B.24 km/hr
C.30 km/hr
D.32 km/hr
Answer: A.20 km/hr
Explanation: 200/36 * 18/5 = 20 km/hr
ANSWER:A
Question: 60% of a number is added to 120, the result is the same number. Find the number?
A.300
B.288
C.270
D.129
Answer: A.300
Explanation: (60/100) * X + 120 = X
2X = 600
X = 300
Answer:A
Question: If x= (10^50) - 57, what is the sum of all the digits of x?
A.390
B.418
C.420
D.439
Answer: D.439
Explanation: 10^2 100-57=43 (result of two digits number)
10^3 1000-57=943 (result of three digits number)
10^4 10000-57=9943 (result of four digits number)
and so on... until 10^50
The result of the subtraction becomes a 50 digits number composed by 48 pairs of 9 followed by a 4 and 5. Therefore 48*9=432 and 432+(4+5)=439
The correct answer is D.
Question: Beth received 3/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 3/4 of the votes cast?
A.1/5
B.2/7
C.3/8
D.7/20
Answer: C.3/8
Explanation: Let the total votes be 100. Beth received 60 votes, other votes 100-60=40. In order to have received 1/2 of the votes she needed 75 votes so 15 more, which is 15/40 = 3/8 of the other votes.
Answer: C.
Question: Rs.525 among A, B and C such that B may get 2/3 of A and C together get. Find the share of C?
A.127
B.150
C.177
D.167
Answer: B.150
Explanation: A+B+C = 590
5A = 6B = 8C = x
A:B:C = 1/5:1/6:1/8
= 24:20:15
15/59 * 590 = Rs.150
Answer:B
Question: A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
A.128 kmph
B.108 kmph
C.181 kmph
D.188 kmph
Answer: B.108 kmph
Explanation: S = 180/6 * 18/5
= 108 kmph
Answer:B
Question: In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true?
I. 0 < t < h
II. c < t < h
III. (c/4) < t < (h/4)
A.a) I only
B.b) II only
C.c) III only
D.d) I and II
Answer: A.a) I only
Explanation: I picked numbers for this problem
C = 2 hours
H = 3 hours
C<H
2 people working together formula is
1/C + 1/H = 1/t
1/2 + 1/3 = 1/t
t = 6/5 = 1.2
Substitute the values of C, H and t in the 3 choices given below
Only 1 are valid.Therefore A is the best answer
Question: According to a survey conducted in two countries, China and India, 20% of the population are vegetarians. If the ratio of the population is 14:13, respectively, and the percentage of Chinese who are vegetarian is 5%, what percentage of Indians are vegetarians?
A.51%
B.54%
C.25%
D.36%
Answer: D.36%
Explanation: Let C and I be number Chinese and Indian, respectively, and v represent vegetarian.
C + I = total people.
C:I = 14:13
Cv/C = 5%
Iv/I = ?
[(14)(Cv/C) + (13)(Iv/I)]/(14 + 13) = 20%
[(14)(5%) + (13)(Iv/I)]/27 = 20%
Iv/I = 36%
Answer: D
Question: A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
A.Rs. 120
B.Rs. 160
C.Rs. 240
D.Rs. 300
Answer: C.Rs. 240
Explanation: EXPLANATION
Let C’s share = Rs. x
Then, B’s share = Rs. x/4 , A’s share = Rs. (2/3 x x/4 ) = Rs. x/6
=x/6 + x/4 + x = 13660
=> 17x/12 = 13660
=> 13660 x 12/ 17 = Rs.960
Hence, B’s share = Rs. (960/4) = Rs. 240.
Answer C
Question: The area of a square is 6400 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square?
A.5:24
B.5:19
C.5:13
D.5:22
Answer: A.5:24
Explanation: Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.
a2 = 6400
a = (6400)^1/2 = 80
l = 3a and b = a - 30
b : l = a - 30 : 2a = 50 : 240 = 5:24
Answer: A
Question: If z is the sum of x and y, then which one of the following must equal x – y ?
A.z+y
B.x-2y
C.x+y
D.z-2y
Answer: D.z-2y
Explanation: Given z= x+y if you subtracts both side with -2y
z-2y = x-y
Answer : D
Question: Find the value of X, Y by solving the below equations
X + Y = 5
X - Y = -3
A.4, 1
B.3, 2
C.1, 4
D.4, 6
Answer: C.1, 4
Explanation: X + Y = 5 ---(I)
X - Y = -3 -----(II) by adding (I) and (II)
------------
2X = 2 ==> X = 2/2 = 1
By Replacing the value of X in (I) we get 1 + Y = 5 ==>
Y = 5 -1 = 4.
So, X = 1, Y = 4
Answer C) 1, 4
Question: A pupil's marks were wrongly entered as 85 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
A.30
B.80
C.20
D.25
Answer: B.80
Explanation: Let there be x pupils in the class.
Total increase in marks = (X*1/2) = X/2.
X/2 = (85 - 45)
=> X/2 = 40
=> X = 80.
ANSWER:B
Question: A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(10 – p) dollars. For which of the following values of p does the company make a profit?
A.10
B.9
C.8
D.6
Answer: D.6
Explanation: to make profit, selling price should be greater than cost price
p(10-p) - p-15 >0
=> p^2-9*p+15<0
hence p=6
D
Question: Two quarts containing 2⁄5 water and 4⁄5 formula are mixed with three quarts containing 3⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
A.34%
B.36%
C.38%
D.40%
Answer: A.34%
Explanation: 2/5 of 2 quarts = 4/5 quarts of water
3/10of 3 quarts = 9/10 quarts of water
4/5 = 0.8
9/10 = 0.9
Total water = 0.8 + 0.9= 1.7
Total quarts = 5
1.7/5 = 34%
Answer : A
Question: A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
A.38 min
B.36 min
C.31 min
D.40 min
Answer: D.40 min
Explanation: Sol. Distance between Ramgarh and Devgarh =(50*44)/60=110/3
Average speed of the bus is increased by 5 km/hr then the
speed of the bus = 55 km/hr
Required time = 110/3*60/55 = 40 min
D
Question: If k and s are positive integers such that (2^k)(4^s) = 16, then 2k + s =
A. 2
B. 3
C. 4
D. 5
Answer: D. 5
Explanation: lets get the eq into simplest orm..
(2^k)(4^s) = 16..
(2^k)(2^2s) = 2^4..
or k+2s=4..
since k and s are positive integers, only k as 2 and s as 1 satisfy the Equation..
so 2k+s=2*2+1=5..
D
Question: A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
A.15 sec
B.9 sec
C.12 sec
D.15 sec
Answer: A.15 sec
Explanation: Speed of the train relative to man = (68 - 8) kmph
= (60* 5/18) m/sec = (50/3)m/sec
Time taken by the train to cross the man
= Time taken by It to cover 250 m at 50/3 m / sec = 250 *3/ 50 sec = 15 sec
Answer : A.
Question: Two whole numbers whose sum is 36 cannot be in the ratio
A.2:4
B.3:4
C.3:6
D.1:3
Answer: B.3:4
Explanation: B) 3:4
Question: What is 3/4 of 4/5 of 2/3?
A.1/4
B.2/5
C.9/16
D.5/8
Answer: B.2/5
Explanation: 3/4 * 4/5 * 2/3= 2/5
Answer: B
Question: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is?
A.500
B.277
C.266
D.188
Answer: A.500
Explanation: 110% of S.P. = 616
S.P. = (616 * 100)/110 = Rs. 560
C.P = (110 * 560)/112 = Rs. 500
Answer: A
Question: By selling a watch for Rs.720/-, a man loses 20% what is that watch cost price
A.s. 700/-
B.s. 800/-
C.s. 880/-
D.s. 900/-
Answer: D.s. 900/-
Explanation: 80 % ------> 720 (80 * 9 = 720)
100 % ------>900 (100 * 9 = 900)
Cost price = Rs. 900/-
D
Question: A girl was asked to state his age in years. Her reply was , "Take my age 5 years hence, multiply it by 5 and subtract 5 times my age 5 years ago and you will know how old I am." What was the age of the person ?
A.50
B.92
C.27
D.26
Answer: A.50
Explanation: Explanation:
Let the present age of girl be x years.
Then, 5(x + 5) - 5(x - 5 ) = x <=> (5x + 25) - (5x - 25) = x <=> x = 50..
Answer: A
Question: A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work finished one day earlier. How many days would it have been delayed if 5 more men were not employed?
A.1
B.2
C.3
D.4
Answer: A.1
Explanation: 35 men do the rest of the job in 12days (38-25-1 = 12days)
30 men can do the rest of the job in 12*35/30 = 14 days
Thus the work would have been finished in 25+14 = 39daya that is 39-38 = 1 day after the scheduled time
Answer is A
Question: 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration E of the acid in the mixture?
A.1/2
B.1/3
C.1/4
D.1/6
Answer: D.1/6
Explanation: Do not need any computation
30%-----------21%---------12%
if volume of both sol. were equal the concentration E would be 21%=1/5, but 12% is more than 3 times
only possibility is 1/6
D
Question: Two trains each 150 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A.7.8 sec
B.7.2 sec
C.8.2 sec
D.6.2 sec
Answer: B.7.2 sec
Explanation: D = 150 m + 150 m = 300 m
RS = 80 + 70 = 150 * 5/18 = 125/3
T = 300 * 3/125 = 7.2 sec
ANSWER:B
Question: A bag contains 4 white balls, 4 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
A.1/2
B.1/5
C.3/8
D.5/11
Answer: B.1/5
Explanation: The probability for each ball to be drawn third is equal.
Then the probability a red ball is drawn third is 2/10 = 1/5.
The answer is B.
Question: If x/y =3/2, then (x-y)/x?
A.-1/2
B.-1/3
C.1/3
D.1/2
Answer: C.1/3
Explanation: we have this law of fraction:
a/b=c/d= (a-c)/(b-d)
x/y=3/2 ---> x/3=y/2= (x-y)/(3-2)=(x-y)/(1) ---> (x-y)/x= 1/3
Answer: C
Question: If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
A.245
B.278
C.364
D.378
Answer: C.364
Explanation: A particular players is never chosen, it means that 11 players are selected out of 14 players.
=> Required number of ways = 14C11
= 14!/11!x3! = 364
C
Question: Tim and Tom are workers in a department that has a total of 5 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
A.3/10
B.1/10
C.7/10
D.4/11
Answer: B.1/10
Explanation: Probability = 2c2/5c2
= 1/10
Answer B
Question: The population of a town increases 25% and 40% respectively in two consecutive years. After the growth the present population of the town is 1750. Then what is the population of the town 2 years ago?
A.A)750
B.B)800
C.C)850
D.D)900
Answer: B.B)800
Explanation: Explanation:
Formula: (After =100 denominator
Ago = 100 numerator)
1750 * 100/125 * 100/140 = 1000
Answer: Option B
Question: Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 15% if no discount was offered?
A.17608
B.17606
C.17604
D.18400
Answer: D.18400
Explanation: Price at which the TV set is bought = Rs. 12,500
Discount offered = 20%
Marked Price = 12500 * 100/80 = Rs. 15625
The total amount spent on transport and installation = 125 + 250 = Rs. 375\Total price of TV set = 15625 + 375 = Rs. 16000
The price at which the TV should be sold to get a profit of 15% if no discount was offered = 16000 * 115/100 = Rs. 18400.Answer: D
Question: A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29.
A.5
B.4
C.1
D.0
Answer: A.5
Explanation: Sol.(a) Number = 899Q + 63, where Q is quotient
= 31 × 29 Q + (58 + 5) = 29 [ 31Q + 2] + 5
∴ Remainder = 5 Answer A
Question: If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a king or a queen, and the other card will be a jack? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs (black). In each suit, there are 13 cards including 1 king, 1 queen, and 1 jack.
A.3/16
B.3/32
C.3/64
D.4/169
Answer: D.4/169
Explanation: P(1 king or queen, and 1 jack) = 2(8/52*4/52) = 2(2/169) = 4/169
The answer is D.
Question: A fruit seller sells mangoes at the rate of Rs.16 per kg and thereby loses 12%. At what price per kg, he should have sold them to make a profit of 20%?
A.Rs.21.81
B.Rs.12
C.Rs.12.25
D.Rs.12.31
Answer: A.Rs.21.81
Explanation: Solution
88 : 16 = 120 : x
x= (16Ã—120/88)
= Rs.21.81
Hence, S.p per Kg	= Rs.21.81
Answer A
Question: If 90% of A = 30% of B and B = C% of A,then the value of C is ?
A.900
B.800
C.600
D.300
Answer: D.300
Explanation: Answer
∵ 90A/100 = 30B/100 = (30/100) x AC/100
∴ C = 100 x (100/30) x (90/100) = 300
Correct Option: D
Question: The sum of three consecutive numbers is 63. The greatest among these three number is:
A.26
B.28
C.29
D.22
Answer: D.22
Explanation: Let the numbers be x, x + 1 and x + 2
Then,
x + (x + 1) + (x + 2) = 63
3x =60
x = 20
Greatest number, (x + 2) = 22.
ANSWER:D
Question: There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
A.Rs.3928
B.Rs.3920
C.Rs.3972
D.Rs.3979
Answer: C.Rs.3972
Explanation: Let P = Rs. 100. Then, S.I. Rs. 60 and T
= 6 years.
R = (100 * 60)/(100 * 6) = 10% p.a.
Now, P = Rs. 12000, T = 3 years and R
= 10% p.a.
C.I. = [12000 * {(1 + 10/100)3 - 1}]
= 12000 * 331/1000
= Rs.3972
Answer:C
Question: Total dinning bill for 9 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
A.$30.14
B.45.14
C.34.66
D.26.96
Answer: D.26.96
Explanation: 211*15=3165/100=31.65
211+31.65=242.65
242.65/9=26.96
ANSWER:D
Question: Find the fourth proportional to 2.8 , 3.4 and 5.2?
A.5.98
B.6.14
C.6.29
D.6.31
Answer: D.6.31
Explanation: Formula = fourth proportion =(b x c)/a
a=2.8 , b=3.4 and c=5.2
(3.4 x 5.2)/2.8=6.31
D
Question: Johnny bought six peanut butter cans at an average price (arithmetic mean) of 37.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
A.5.5
B.11
C.47.5
D.50.5
Answer: D.50.5
Explanation: Total price of six cans = 6*37.5 = 225
Total price of 4 cans = 4*31 = 124
Total rice of two cans = 225 - 124 = 101
Average price of two cans = 101/2 = 50.5 c
Another way to do it is this:
Assume that the four leftover cans were of 31c each. The avg was 37.5c initially because the two cans were 36.5c each and were providing another 6.5c of cost to other 4 cans.
So cost of the two cans = 2*37.5 + 4*6.5 = 101
Avg cost of the two cans = 101/2 = 50.5c
Answer (D)
Question: The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the some of the ages of his sons. The father’s present age is :
A.29 years
B.36 years
C.42 years
D.45 years
Answer: D.45 years
Explanation: Sol.
Let the sum of present ages of the two sons be x years.
Then, faher’s present age = 3x years.
∴ (3x + 5) = 2 (x + 10) ⇔ 3x + 5 = 2x + 20 ⇔ x = 15.
Hence, father’s present age = 45 years.
Answer D
Question: The temperature in Winnipeg, Manitoba was 4 degrees Fahrenheit. At 8 pm the temperature was was -10 degrees Fahrenheit. What is the difference between the temperatures?
A.6
B.-14
C.14
D.-6
Answer: D.-6
Explanation: Addition of positive and negative integers
4+-10=
answer is D)-6
Question: A man's age is 125% of what it was 10 years ago, but 83 X 1/3% of what it will be after 10years. What is his present age?
A.20
B.60
C.50
D.70
Answer: C.50
Explanation: C
50
Let the age before 10 years =x Then,
125x/100=x+10
⇒125x=100x+1000
⇒x=1000/25=40
Present age =x+10=40+10=50
Question: A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 25600.
A.Rs. 25600
B.Rs. 8500
C.Rs. 7200
D.Rs. 8000
Answer: D.Rs. 8000
Explanation: Explanation:
A = 2B and B = 5C
=> A : B = 2 and B : C = 5 : 1
=> A : B : C = 10 : 5 : 1
Ratio of capitals of A, B and C = 10 : 5 : 1
B's share = Rs.[(5/16) × 25600] = Rs. 8000
Answer: Option D
Question: A caterer ordered 225 ice-cream bars and 125 sundaes. If the total price was $200.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
A.$0.52
B.$0.80
C.$1.00
D.$1.20
Answer: A.$0.52
Explanation: Let price of a sundae = S
Price of ice cream bar = .6 $
225 * .6 + 125*S = 200
=> 125*S = 65
=> S = 0.52
Answer A
Question: The average of the two-digit numbers, which remain the same when the digits interchange their positions, is?
A.76
B.88
C.55
D.86
Answer: C.55
Explanation: Average = (11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99)/9
= [(11 + 99) + (22 + 88) + (33 + 77) + (44 + 66) + 55]/9
= [(4 * 110) + 55]/9 = 495/9 = 55.
Answer: C
Question: Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
A.270 m
B.189 m
C.278 m
D.279 m
Answer: A.270 m
Explanation: Relative speed = (72 - 36) * 5/18 = 2 * 5
= 10 mps.
Distance covered in 27 sec
= 27 * 10
= 270 m.
The length of the faster train
= 270 m.
Answer:A
Question: If the positive integer x is divisible by 3, 8, and 12, then which of the following must x be divisible by?
I. 24
II. 26
III. 48
A.IIonly
B.I only
C.I and II only
D.II and III only
Answer: B.I only
Explanation: LCM of 3, 8, 12 = 24
Answer = 24
Answer : B
Question: Three unbiased coins are tossed. What is the probability of getting at most two heads?
A.9/7
B.7/8
C.1/2
D.5/4
Answer: B.7/8
Explanation: Explanation:
Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}
Let E = event of getting at most two heads.
Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.
P(E)=n(E)/n(S)=7/8
Answer:B
Question: The division of a whole number N by 10 gives a quotient of 15 and a remainder of 2. Find N.
A.152
B.197
C.597
D.997
Answer: A.152
Explanation: According to the division process of whole numbers, N can be written, using multiplication, as follows
N = quotient *divisor + remainder = 15* 10 + 2 = 152 correc answer A