RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: 3 ltr of water is added with 11 ltr of a solution containing 42%of alcohol in the water. The %of alcohol in the new mixture is?
A.23%
B.35%
C.33%
D.40%
Answer: C.33%
Explanation: We have a 11 litre solution containing 42% of alcohol in the water.
=> Quantity of alcohol in the solution
=11×42/ 100
Now 3 litre of water is added to the solution.
=> Total quantity of the new solution = 11 + 3 = 14
Percentage of alcohol in the new solution
=11×42/100
14
×
100
=11×4210014×100
=11×3/100
=33%
C
Question: Which of these expressions has the greatest value?
A.1345211/1345215
B.1892345/1862348
C.1215768/1215769
D.1532672/1532675
Answer: B.1892345/1862348
Explanation: Using elimination method on options
1892345/1862348 = 1.01610708632...
ANSWER:B
Question: There are different 10 circles. What is the number of the greatest possible points with which the circles intersect?
A.90
B.100
C.110
D.180
Answer: A.90
Explanation: Maximum points of intersection between n different circles = n*(n - 1) = 10*9 = 90
Answer: A
Question: If 15% of A is the same as 25% of B, then A : B is :
A.5:3
B.4:3
C.7:16
D.12:17
Answer: A.5:3
Explanation: Expl : 15% of A I= 25 % of B =15A/100 = 25B/100 = 5/3 = 5:3
Answer:A
Question: A card is drawn from a pack of 250 card numberd 1 to 200.what is the probability that drawing a no.which is perfect cube?
A.1/40
B.1/20
C.1/30
D.3/40
Answer: A.1/40
Explanation: 6^3 is 216 so only 1to 5 is a perfect cube with in 200
therefore 5c1/200c1
=1/40
ANSWER:A
Question: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A.1/455
B.1/439
C.1/429
D.1/409
Answer: A.1/455
Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles.
Probability that all the three marbles picked at random are blue = ³C₃/¹⁵C₃ = (1 * 3 * 2 * 1)/(15 * 14 * 13)
= 1/455
Answer:A
Question: Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 9 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
A.11.
B.12.
C.13.
D.14.
Answer: D.14.
Explanation: Price of candy before price increase= 10/1.25= 8
Price of soda before price increase= 9/1.5= 6
Total price = 8+6= 14
D is the answer
Question: After decreasing 25% in the price of an article costs Rs.1500. Find the actual cost of an article?
A.1400
B.1300
C.1200
D.2000
Answer: D.2000
Explanation: CP* (75/100) = 1500
CP= 20* 100 => CP = 2000
ANSWER:D
Question: 850 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
A.a) 162
B.b) 138
C.c) 60
D.d) 17
Answer: D.d) 17
Explanation: Passed in english = 65%
Passed in maths = 55%
Passed in both = 40% of 55% = 2/5 * (55%) = 22%
Passed in (English + Maths - Both + Neither) = 100%
65 + 55 - 22 + Neither = 100
Neither = 100 - 98 = 2% = 0.02 * 850 = 17
Answer: D
Question: A certain auto manufacturer sold 3% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,00, did the manufacturer sell in 2007?
A.63,000
B.2,000,000
C.2,030,000
D.204,000
Answer: D.204,000
Explanation: Let's assume in 2006 he has sold X. Therefore in 2007 he should have sold 97/100×X.
97/100×2100=2037
-->2,037,000 sold in 2007. When rounded to the nearest 10,000 :
204,000
D
Question: With # andeach representing different digits in the problem below, the difference between #and ## is 534. What is the value of?
#
-##
____
534
A.7
B.8
C.9
D.6
Answer: D.6
Explanation: 100x
-(10x +x)
-----------
89 x= 534
x = 6
D
Question: How many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
A.28 sec
B.29 sec
C.24 sec
D.25 sec
Answer: B.29 sec
Explanation: D = 140 + 150 = 290
S = 36 * 5/18 = 10 mps
T = 290/10 = 29 sec
B
Question: A student finds the average of nine positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say pq for qp. Due to this, the average becomes 1 less than the previous one. What was the difference of the two digits p and q?
A.8
B.6
C.1
D.4
Answer: C.1
Explanation: Explanation :
Let the original number be pq i.e., (10p + q).
After interchanging the digits, the new number becomes qp i.e., (10q + p).
The question states that the average of 9 numbers has become 1 less than the original average.
Therefore, the sum of the original 9 numbers will be 9*1 more than the sum of the 9 numbers with the digits interchanged.
i.e., 10p + q = 10q + p + 9
=> 9a - 9b = 9
=> a - b = 1.
Answer : C
Question: If x is 12 percent greater than 70, then x =
A.78.4
B.91.0
C.88.0
D.70.4
Answer: A.78.4
Explanation: 12% of 70 = (70*0.11) = 8.4
12% greater than 70 = 70 + 8.4 = 78.4
Answer is clearly A.
Question: 3 years ago, the avg age of a family of 5 individuals was 17. A kid have been born the avg age of family is an exact today? What is the age of the kid?
A.2 years
B.5 years
C.6 years
D.4 years
Answer: A.2 years
Explanation: A
2 years
Current age of 5 individuals is,
=5 x 17 + 3 x 5 = 100 years
Also, current ages of 5 persons + Age of the kid
= 6 x 17 = 102 years
Therefore, Age of the Kid = 102 – 100 = 2 years.
Question: select the no. which is different from series
13,16,19,22,24,28
A.24
B.28
C.19
D.13
Answer: A.24
Explanation: 13. 16. 19. 22. 24. 28
every step it increase by 3 but from 22 it should 25 but it is 24so,24 is different
answer A
Question: The moon revolves around the earth at a speed of approximately 1.05 kilometers per second. This approximate speed is how many kilometers per hour?
A.60
B.61.2
C.62.5
D.3,780
Answer: D.3,780
Explanation: moon revolves around the earth at a speed of 1.02kilometers per second.
one hour equal to 60 minutes.
one minute equals to 60 seconds. so one hour equals to 3600seconds.
so one hour, speed= 1.05*3600=3780kilometers per hour.
Option D is correct
Question: In what time will a train 150 metres long cross an electric pole, if its speed be 122 km/hr?
A.2.42
B.6.42
C.5.42
D.4.42
Answer: D.4.42
Explanation: Solution
Speed	= (122 x 5 /18) m/sec
= 33.88m / sec
Time taken	= (150 /33.88) sec
= 4.42 sec.
Answer D
Question: What is the units digit of the expression 14^7−16^4?
A. 0
B. 3
C. 8
D. 6
Answer: C. 8
Explanation: I think answer on this one should be C too. Since we know that 14^7>16^4, as Will said one should always check if the number is positive.
Question: Find the average of all numbers between 4 and 41 which are divisible by 5
A.22.5
B.20
C.25
D.30
Answer: A.22.5
Explanation: Explanation:
Average=(5+10+15+20+25+30+35+40)/8=180/8=22.5
Answer: Option A
Question: A and B began business with Rs.2000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of B.
A.240
B.288
C.277
D.455
Answer: D.455
Explanation: (2*8 + 1*4):(4*8 + 5*4)
5:13
13/18 * 630 = 455
Answer: D
Question: A gambler rolls three fair six-sided dice. What is the probability that two of the dice show the same number, but the third shows a different number?
A.1/36
B.5/36
C.10/36
D.15/36
Answer: D.15/36
Explanation: First off, we want to find the probability of rolling a pair of any number. There are six
pairs and a total of 36 different ways to roll a pair of dices: 6/36 = 1/6.
Next, we want to account for the third die - it cannot be the same as the first two,
so it can be any of five numbers out of 6: 5/6.
Therefore probability is 5/6 x 1/6 = 5/36.
It is tempting here to think that we have solved the problem. But if we read carefully, the
question does not say that the first two dice have to be the same and the third die has
to be different.
the question says a gambler rolls 3 dice. So the first two do not have to be pairs.
As long as 2 of the 3 dice are pairs and the last die is a different number. To find the
number of way this can occur, we use combinations formula: 3!/2!1! = 3.
We multiply this to the numerator to give us 3 x 5/36 = 15/36.
ANSWER:D
Question: In a business, three friends X,Y and Z shared the profit in the ratio 5:7:8. X invested his amount for 14 months, Y for 8 months and Z for 7 months respectively. Find the ratio of their investments?
A.19:49:64
B.20:49:64
C.20:49:65
D.20:50:64
Answer: B.20:49:64
Explanation: Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively Then, 14x : 8y : 7z = 5 : 7 : 8 Now, 14x/8y = 5/7 => y = (49/20)x 14x/7z = 5/8 => z = (16/5)x => x : y : z = x : (49/20)x : (16/5)x => x : y : z = 20 : 49 : 64
Answer B
Question: In Town X, 90 percent of the population are employed, and 20 percent of the population are employed males. What percent of the employed people in Town X are females?
A.16%
B.66%
C.77%
D.88%
Answer: C.77%
Explanation: Total employed people 90%, out of which 20 are employed males, hence 70% are employed females.
(employed females)/(total employed people)=70/90=7/9=77%
Answer: C.
Question: The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
A.12
B.14
C.16
D.18
Answer: A.12
Explanation: Explanation:
63 + 83 + 103 = a3 => a = 12
A)
Question: A certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts, by weight. What is the number of pounds of almonds in 140 pounds of the mixture ?
A. 116
B. 84
C. 40
D. 28
Answer: A. 116
Explanation: Almonds : Walnuts = 5 : 1
Total mixture has 6 parts
In a 140 pound mixture, Almonds are 5/6 (total mixture)
= 5/6 * 140 = 116 pounds
Answer (A)
Question: In a can, there is a mixture of milk and water in the ratio 8 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 12 : 5. Find the capacity of the can?
A.40
B.18.4
C.48
D.50
Answer: B.18.4
Explanation: Let the capacity of the can be T litres.
Quantity of milk in the mixture before adding milk = 8/13 (T - 8)
After adding milk, quantity of milk in the mixture = 12/17 T.
12T/17 - 8 = 8/13(T - 8)
20T = 1456 - 1088 => T = 18.4.
Answer:B
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C
A.Rs. 300
B.Rs. 400
C.Rs. 500
D.Rs. 600
Answer: B.Rs. 400
Explanation: Explanation:
C's 1 day's work =
1/3−(1/6+1/8)
=(1/3−7/24)
=1/24
A:B:C=1/6:1/8:1/24
=4:3:1
C′sShare=1/8∗3200=400
Option B
Question: For how many integers n is 1^n+3 = (n+3)^1?
A.None of these
B.1
C.2
D.3
Answer: A.None of these
Explanation: If n=0
1^0+3= (0+3)^1
1^3 = 1 ; 3^1 =1 not ok
If n=1
1^1+3 =1 ; (1+3)^1=3^1=3 not OK
So, Answer : A
Question: one men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
A.4 days
B.5 days
C.6 days
D.7 days
Answer: B.5 days
Explanation: 1M + 3W ----- 35 h
4M + 4W ------- 21 h
7M -------? d
35M + 105W = 84M +84M
21W = 49M
4 * 35 = 7 * x => x = 20 hours
20/4 = 5 days
ANSWER:B
Question: A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
A.887
B.400
C.187
D.278
Answer: B.400
Explanation: C's 1 day's work = 1/3 - (1/6 + 1/8) = 1/3 - 7/24 = 1/24
A's wages : B's wages : C's wages
1/6 : 1/8 : 1/24 = 4:3:1
C's share = 1/8 * 3200 = Rs. 400
Answer:B
Question: One woman and one man can build a wall together in one hour, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them two hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
A.5/7
B.6/7
C.10/7
D.12/7
Answer: B.6/7
Explanation: Solution:Let work done by man, women and girl per hour be m,w,g respectively.
Then, m+w = 1/1-->(1) , w + 2g = 1/1-->(2) and m + g =1/2-->(3).
No. of hours it would take forone woman, one man, and one girl, working together, to build the wall,n = 1/m+w+g
From (1) and (2), m=2g and from (3) g=1/6,m=1/3 and w=2/3.
So, n = 1/(7/6) = 6/7
Option, B
Question: A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporation. At that time, what is the ratio of water to salt in the solution?
A.12:8
B.8:16
C.9:16
D.8 :12
Answer: C.9:16
Explanation: Water:soap = 3:2
Soap:Salt=12:8
=> For 12 soap, salt = 8
=> For 2 Soap, salt = (8/12)*2 = 16/12=4/3
So, water:soap:salt = 3:2:4/3 = 9:6:4
After open container, water:soap:salt = 2.25:6:4
So, water:salt = 2.25:4 = 9:16
ANSWER:C
Question: Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
A.Rs.932
B.Rs.132
C.Rs.108
D.Rs.109
Answer: B.Rs.132
Explanation: 2 * 22/7 * 14 = 88
88 * 1 1/2
= Rs.132
Answer: B
Question: A = {2,0, 1, -3, 6, -8}
B = {-1, 2, -4, 7,-6,20}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
A.1/4
B.1/3
C.5/12
D.4/9
Answer: C.5/12
Explanation: For the product of 2 numbers to be positive either both of them must be positive or both of them must be negative:
P(positive, positive) = 3/6*3/6 = 9/36;
P(negative, negative) = 2/6*3/6 = 6/36.
P = 9/36 + 6/36
= 15/36
= 5/12.
Answer: C.
Question: A person travels equal distances with speeds of 5 km/hr, 6 km/hr and 7 km/hr and takes a total time of 47 minutes. The total distance is?
A.5 km
B.3 km
C.7 km
D.9 km
Answer: A.5 km
Explanation: Let the total distance be 3x km.
Then, x/5 + x/6 + x/7 = 27/53
27x/53 = 47/60 => x = 1.54
Total distance = 3 * 1.54 = 4.61 km.
Answer:A
Question: The arithmetic mean of set G is zero. If H = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of G consisting of all those elements in G which are more than two but less than three standard deviations away from the arithmetic mean of G, what could be equal to the standard deviation of G?
A.0.54
B.0.77
C.0.82
D.0.97
Answer: B.0.77
Explanation: This is a fairly straightforward question that can be solved quickly by just applying the options
We are provided with Mean, m= 0
and H = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of S
H consists of all those elements in G that are more than 2 but less than 3 GDs away from the arithmetic mean of G
If an element is 1 GD away from the mean, we can write it as either m + GD or m - GD
Similarly, if an element is 2 GDs away from the mean, we can write it as either m + 2*GD or m - 2*GD
So, if these elements lie within 2 and 3GDs of mean, m=0
we can find which one of these values of GD satisfies each value within H
Only GD = 0.77 does
Answer : B
Question: A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:
A.430 Sq.m
B.425 Sq.m
C.450 Sq.m
D.475 Sq.m
Answer: C.450 Sq.m
Explanation: Distance covered in (9×1000)/(3600) × 12 = 30 m
Diagonal of squarre field = 30 m.
area of square field = 30(power)2/2
= 900/2 = 450 Sq.m
Answer is C.
Question: Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
A.0
B.20
C.10
D.18
Answer: C.10
Explanation: Number of candidates who had none of the three = Total number of candidates - number of candidates who had at least one of three devices.
Total number of candidates = 200.
Number of candidates who had at least one of the three = A U B U C, where A is the set of those who have a two wheeler, B the set of those who have a credit card and C the set of those who have a mobile phone.
We know that AUBUC = A + B + C - {A n B + B n C + C n A} + A n B n C
Therefore, AUBUC = 100 + 70 + 140 - {40 + 30 + 60} + 10
Or AUBUC = 190.
As 190 candidates who attended the interview had at least one of the three gadgets, 200 - 190 = 10 candidates had none of three.
ANSWER:C
Question: The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.8. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
A.1/5
B.2/5
C.3/5
D.4/5
Answer: B.2/5
Explanation: p(m) =0.2
p(r) =0.2
p(m intersection r) = 0 (If events M and R cannot both occur)
p(m or r) = 0.2+0.2 =0.4
Corrected !!
Answer B
Question: Simplify: (i) 12.05*5.4+0.6
A.101.45
B.103.45
C.108.45
D.107.45
Answer: C.108.45
Explanation: Given exp. = 12.05*(5.4/0.6) = (12.05*9) = 108.45
Answer is C.
Question: How many different ways can 2 students be seated in a row of 6 desks, so that there is always at least one empty desk between the students?
A. 2
B. 3
C. 4
D.20
Answer: D.20
Explanation: 10 ways to seat the students:
with two empty seats between
1 empty w/ one student on the left most
1 empty....right most
two students can be interchanged
10x2=20
D
Question: If a 3-member subcommittee is to be formed from a certain 5-member committee, how many different such subcommittee are possible?
A.6
B.10
C.20
D.108
Answer: B.10
Explanation: 1st member can be selected in 5 ways
2nd can be selected in 4 ways
3rd can be selected in 3 ways
So total ways : 60
But to avoid the similar scenarios 60/3!=10
ANS:B
Question: A train 400 m long passed a pole in 40 sec. How long will it take to pass a platform 600 m long?
A.28 sec
B.100 sec
C.85 sec
D.16 sec
Answer: B.100 sec
Explanation: Speed = 400/40 = 10 m/sec.
Required time = (400 + 600)/10
= 100 sec.
Answer:B
Question: A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 34 percent of the total votes?
A.10%
B.12.5%
C.15%
D.17.5%
Answer: D.17.5%
Explanation: There were 80% of the votes remaining and he needed 14%/80% = 7/40 = 17.5%
The answer is D.
Question: An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 4 minutes, what part of the cistern will be emptied?
A.1/2
B.1/3
C.1/4
D.1/6
Answer: D.1/6
Explanation: 4/16 * 2/3 = 1/6
The answer is D.
Question: In a friendship gang Andrew has 8 gang, in how many ways can he invite one ormore of the gang to his house?
A.234
B.255
C.260
D.265
Answer: B.255
Explanation: Andrew can select one or more than one of his 8 gang.
=> Required number of ways = 28 – 1= 255.
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.7
C.6
D.5
Answer: A.8
Explanation: 80% --- 12
120% --- ?
80/120 * 12 = 8
Answer: A
Question: 4, 6, 12, 14, 28, 30, ?
A.20
B.40
C.no=60
D.80
Answer: C.no=60
Explanation: C
60
The given sequence is a combination of two series 4, 12, 28, .... and 6, 14, 30, .... The pattern is +8, +16, +32. So, the missing number = (28 + 32) = 60
Question: At present, the ratio between the ages of Arun and Deepak is 4:2. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
A.10 years
B.15 years
C.18 years
D.12 years
Answer: A.10 years
Explanation: Let the present ages of Arun and Deepak be 4x and 2x years respectively.
Then, 4x + 6 = 26 => x
= 5
Deepak's age
= 2x
= 10 years.
Answer:A
Question: The remainder when A=1+3+3^2+3^3+..........+3^200 is divided 13.
A.12
B.7
C.0
D.5
Answer: C.0
Explanation: A=1+3+3^2+3^3+..................+3^200
Is a Geometric progression having common ratio as '3' and number of terms as '201'.
Since Sum to n terms in GP = a(r^n-1)/(r-1)
where a=First term and r =common ration
Hence,
1*(3^201 -1 )/(3-1)
Rem of (3^201-1)/2 divided by 13
3^201 -1 /26
WKT, 3^3 = 27 = 26+1
{(26+1)^67 - 1}/26
{1-1}/26
=>0.C
Question: On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 80% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
A. 36%
B. 60%
C. 66%
D. 80%
Answer: A. 36%
Explanation: Chris won't be able to attend the game if it be raining on Monday eveningandTuesday evening. The probability of that is 0.8*0.8 = 0.64. So, the probability that he will be able to attend is 1 - 0.64 = 0.36.
Answer: A.
Question: If the sum of a number and its square is 132, what is the number?
A.15
B.11
C.28
D.91
Answer: B.11
Explanation: Let the number be x. Then,
x + x2 = 132
(x + 12)(x - 11) = 0
x = 11
ANSWER:B
Question: Marcella has 26 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
A.21
B.20
C.19
D.16
Answer: A.21
Explanation: Marcella has 26 pairs of shoes and loses 9 shoes.
To minimize the loss of identical pairs of shoes we want Marcella to lose as many identical pairs as possible. This would yield 4 identical pairs and 1 additional shoe (destroying 5 pairs of shoes).
The 26 pairs of shoes minus the 5 'destroyed' pairs yields 21 pairs that still fulfill the requirements.
Answer: A
Question: Every day Daniel drives 60 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work on Monday is longer than the time it took him to drive back from work on Sunday by what percent?
A.10%
B.20%
C.30%
D.40%
Answer: B.20%
Explanation: Let's TEST X = 4....
On Sunday, Daniel drove 60 miles at 4 miles/hour.
D = (R)(T)
60 = (4)(T)
60/4 = 15 = T
It takes 15 hours to drive home
On Monday, Daniel drove the first 32 miles at (2)(4) = 8 miles/hour and the rest of the way (28 miles) at 4/2 = 2 miles/hour
D = (R)(T)
32 = (8)(T)
32/8 = 4 = T
It takes 4 hours for the first part
D = (R)(T)
28 = (2)(T)
28/2 = 14 = T
It takes 14 hours for the second part
Total time to drive home on Monday = 4+14 = 18 hours
We're asked by what percent 18 hours is greater than 15 hours.
18/15 = 1.2, so it is 20% greater.
B
Question: There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 65% play football, how many play both?
A.120
B.150
C.240
D.180
Answer: C.240
Explanation: n(A) = 75*600/100 = 450
n(B) = 65*600/100 = 390
n(AUB) = 600
n(AnB) = 450+390-600 = 240
Answer is C
Question: A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6800?
A.s. 4991
B.s. 5991
C.s. 6001
D.s. 6791
Answer: D.s. 6791
Explanation: total fr 5 mnths=(6435+6927+6855+7230+6562)=Rs34009.
Reqd.sale=Rs.[(6800*6)-34009]
= Rs.(40800-34009)
= Rs.6791.
ANSWER:D
Question: Sophia finished 2/3 of a book. She calculated that she finished 30 more pages than she has yet to read. How long is her book?
A.A)90
B.B)150
C.C)130
D.D)190
Answer: A.A)90
Explanation: Let x be the total number of pages in the book, then she finished 2/3*x pages.
Then she has x−2/3*x=1/3*x pages left.
2/3*x−1/3*x=30
1/3*x=30
x=90
So the book is 90 pages long.
Answer is A.
Question: A train 510 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A.40
B.52
C.26
D.21
Answer: B.52
Explanation: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 510 + 140 = 650 m
Required time = 650 * 2/25 = 52 sec
Answer:B