RikoteMaster/aqua-rat-mcqa huggingface dataset:
Question: A set of consecutive positive integers beginning with 1 is written on the blackboard. A student came along and erased one number. The average of the remaining numbers is 35 7/17. What was the number erased?
A.SEVEN 7
B.8
C.9
D.15
Answer: A.SEVEN 7
Explanation: 2) The average of the new group of numbers is 35 7/17. The denominator of THAT fraction tells us that the total number of terms in the new list MUST be a multiple of 17:
17, 34, 51, 68, 85, etc.
3) Since we're removing 1 number from a list of consecutive positive integers, we could quickly limit down the possible number of terms in the ORIGINAL list:
If new = 17, old = 18, but the numbers from 1 to 18 would NOT have an average in the mid-30s (it would be much smaller). ELIMINATE this option.
If new = 34, old = 35, but we run into the same problem. The average won't match here either. ELIMINATE this option.
If new = 51, old = 52, same problem here. ELIMINATE this option.
If new = 68, old = 69....HERE we have a group of numbers that might just be what we're looking for.
In theold group, the average is themiddle term= 35, which is REALLY close to the new average once we remove a number.
Now, we just have to figure out which of the 5 answers was removed (and that changed the new average to 35 7/17). There are a couple of ways to do this math, but I'm going to use the answers to save myself some steps:
Sum of 1 to 69, inclusive = 69(35) = 2415
Remove Answer B....2415 - 8 = 2407
New average = 2407/68 = 35 27/68
Now, we can compare 27/68 to 7/17
27/68 and 28/68
This is REALLY close, but is not the answer. Eliminate B. The answer is either A or C.
Since 28/68 is a BIGGER fraction than 27/68, we need the sum (of the 68 integers) to be BIGGER...which means we need to remove a SMALLER number.
Final Answer:
A
Question: If (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y, what is the sum of all the possible values of y such that (16 # y) = 1?
A.8
B.9
C.16
D.23
Answer: D.23
Explanation: (x # y) represents the remainder that results when the positive integer x is divided by the positive integer y.
Thus (16 # y) = 1 implies that 16=yq+1 --> 15=yq--> y is a factor of 15. The factors of 15 are 1, 3, 5, and 15. Now, y cannot be 1, since 16 divided by 1 yields the remainder of 0 not 1.
Therefore the sum of all the possible values of y is 3+5+15=23.
Answer: D.
Question: The average temperature of Monday, Tuesday, Wednesday and Thursday was 38∘ and that of Tuesday, Wednesday, Thursday and Friday was 40∘. If the temperature on Monday was 33∘, the temperature of Friday was :
A.41∘
B.39∘
C.38∘
D.30∘
Answer: A.41∘
Explanation: Explanation:
M+T+W+Th=(4×38)=152
Monday temperature is 33. So T+W+Th=(152-33)=119
T+W+Th+F=(4×40)=160
F = (160-119)=41∘
Correct Option: A
Question: Three numbers are randomly selected, with replacement, from the set of integers {0, 1, 2, 3, 4, 5, 6}. If the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y ?
A.2/7
B.3/7
C.5/49
D.6/49
Answer: C.5/49
Explanation: The number of ways to select w, x, and y is: 7*7*7=343
The number of ways to choose three different numbers from the set is 7C3=35.
There are six permutations for each group of three different numbers, but only one permutation satisfies w < x < y.
P(w < x < y) = 35/343 = 5/49
The answer is C.
Question: How many positive integers e less than 30 have no common prime factor with 30?
A.5
B.6
C.7
D.8
Answer: D.8
Explanation: e=30=2*3*5. So, the number must be less than 30 and not have primes 2, 3, or 5.
This means that the number could be: 1, 7, 11, 13, 17, 19, 23, or 29. Total of 8 numbers.
Answer: D.
Question: If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is :
A.ratio 20 : 35 : 63
B.35 : 36 : 63
C.30 : 35 : 65
D.25 :34: 68
Answer: A.ratio 20 : 35 : 63
Explanation: A : B = 4 : 7
B : C = 5 :9 = 5*7/5 : 9 *7/5 = 7 : 63/5
A : B : C = 4 : 7 : 63/5 = 20 : 35 : 63
ANSWER: A
Question: 17 balls are numbered 1 to 17. A ball is drawn and then another ball is drawn without replacement. What is the probability that both balls have even numbers?
A.1/7
B.3/14
C.5/23
D.7/34
Answer: D.7/34
Explanation: P(1st ball is even) = 8/17
P(2nd ball is also even) = 7/16
P(both balls are even) = 8/17 * 7/16 = 7/34
The answer is D.
Question: A train crosses a platform of 140 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A.190
B.88
C.77
D.62
Answer: A.190
Explanation: Length of the train be â€˜Xâ€™
X + 140/15 = X + 250/20
4X + 560 = 3X + 750
X = 190m
Answer: A
Question: Out of 7 consonants and 4 vowels, how many words of 4 consonants and 2 vowels can be formed?
A.25900
B.151200
C.210
D.120
Answer: B.151200
Explanation: Required selection = select 4 consonants from 7 and 2 vowels frm 4
= 7C4 * 4C2
= 210
As we have to form 6 letter word the above combination of consonants and vowels can be done in 6! = 720 different ways
Required no. of ways = 210 * 720
= 151200
Ans - B
Question: The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 50 and n is not prime, what is the greatest possible value of f(n)?
A.48
B.35
C.31
D.32
Answer: B.35
Explanation: Since we need the largest value of f (n), we will start with the largest option.
Option A: 48 = 2*2*2*2*3. This is not a product of distinct prime numbers. Hence incorrect
Option B: 35 = 5*7. This is a product of distinct prime numbers.
Rest all the options are smaller that 35.
Correct Option: B
Question: A cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
A.8.1
B.8.9
C.8.6
D.8.3
Answer: B.8.9
Explanation: Distance = d1 = x miles
Speed = s1 = 8 miles per hour
Time = t1 = Distance/ Speed = x/8
2. Going from B to A
Distance = d2 = x miles
Speed = s2 = 10 miles per hour
Time = t2 = Distance/ Speed = x/10
3. Average Speed = Total Distance/Total Time
Total Distance = x + x = 2x
Total Time = x/10 + x/8 = x (1/10 + 1/8) = =9x/40
Speed = 2x/(9x/40) = 80/9
= 8.9
Answer : B
Question: Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
A.2000
B.2781
C.2278
D.2081
Answer: A.2000
Explanation: Explanation:
(10*10)/100 = 1%loss
100 --- 99
? --- 1980 => Rs.2000
Answer: A
Question: A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A.1000
B.2888
C.2771
D.1261
Answer: A.1000
Explanation: 90%
104%
--------
14% ---- 140
100% ---- ? => Rs.1000
Answer: A
Question: In some language, 'COLLEGE' is written as 'FSOPHKH' and 'SCHOOL' is wriiten as 'VGKSRP'. Then What is for "STUDENT"??
A.VXWHHRW
B.VXXHIRW
C.VXWHIRX
D.VXXHHRW
Answer: D.VXXHHRW
Explanation: In 'college' and "school'
1) odd letters has +3 letters more from the alphabets
2) even letter has +4 letters from the alphabets
ODD LETTERS EVEN LETTERS
-----------------------------
S--->V T--->X
U--->X D--->H
E--->H N--->R
T--->W
ANSWER:D
Question: Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
A.15
B.25
C.35
D.45
Answer: C.35
Explanation: Explanation:
Let A's age 10 years ago = x years.
Then, B's age 10 years ago = 2x years.
(x + 10) / (2x+ l0) = 3/4
=> x = 5.
So, the total of their present ages =(x + 10 + 2x + 10)
= (3x + 20) = 35 years. Answer: C
Question: 4.036 divided by 0.02 gives :
A.10.09
B.1.06
C.10.06
D.201.8
Answer: D.201.8
Explanation: = 4.036/0.02
= 403.6/2
= 201.8
Answer is D.
Question: The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner ?
A.22
B.29
C.88
D.28
Answer: B.29
Explanation: Clearly, every member except one (i.e. the winner) must lose one game to decide the winner. Thus, minimum number of matches to be played = 30 - 1
= 29.
Answer:B
Question: For every positive integer n, the nth term of sequence is given by an= 1/n - 1/(n+1). What is the sum of the first 80 terms?
A.1
B.21
C.40/41
D.80/81
Answer: D.80/81
Explanation: a1 = 1 - 1/2
a2 = 1/2 - 1/3
a3 = 1/3 - 1/4
etc...
a80 = 1/80 - 1/81
The sum of these terms is 1-1/81 = 80/81
The answer is D.
Question: A box contains ten bulbs out of which 5 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
A.5/21
B.9/21
C.7/21
D.6/21
Answer: A.5/21
Explanation: Required probability = (5C3 . 5C1)/10C4 = (10 * 5)/210
= 5/21
Answer:A
Question: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
A.11
B.12
C.10
D.13
Answer: C.10
Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Man's rate against the current = (12.5 - 2.5) km/hr = 10 km/hr.
Ans- C
Question: If 25th of August in a year is Thursday, the number of Mondays in that month is
A.4
B.5
C.2
D.3
Answer: B.5
Explanation: Explanation:
Given that 25th August = Thursday
Hence 29th August = Monday
So 22nd,15th and 8th and 1st of August also will be Mondays
Number of Mondays in August = 5
Answer: Option B
Question: Set A contains all the even numbers between 12 and 50 inclusive. Set B contains all the even numbers between 112 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
A.2000
B.2550
C.5050
D.6275
Answer: A.2000
Explanation: Set A contains 12,14 , 16 ... 50
Set B contains 112 , 114 , 116 ... 150
Number of terms in each set = 20
Difference between corresponding terms in set A and B = 100
Difference between Sum of set B and set A = 100*20 = 2000
Answer A
Question: A person incurs 20% loss by selling a watch for $1000. At what price should the watch be sold to earn 20% profit?
A.$1000
B.$950
C.$1500
D.$1150
Answer: C.$1500
Explanation: Let the new selling price be $x
(100-loss%): (1st S.P.) = (100+gain%):(2nd S.P.)
(100-20)/1000 = (100+20)/x
x = 120*1000/80 = 1500
Answer is C
Question: A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
A.5 5/9
B.5 5/7
C.5 5/2
D.5 5/8
Answer: A.5 5/9
Explanation: Let sum = x. Then, amount = 7x/6
S.I. = 7x/6 - x = x/6; Time = 3 years.
Rate = (100 * x) / (x * 6 * 3) = 5 5/9 %.
Answer:A
Question: Two pipes can fill a tank in 10 hours and 12 hours. While the 3rd pipe empties the full tank in 20hours. If all the 3 pipes are open in how much time will the tank be filled?
A.6hr
B.5hr
C.7hr 30min
D.8hr 20min
Answer: C.7hr 30min
Explanation: Net part filled in 1 hour = 1/10 + 1/12 - 1/20 = 8/60 = 2/15
The tank will be full in 15/2 hours = 7hr 30min
Answer is C
Question: A particular parking garage is increasing its rates by 25 percent per month. Bob decides to reduce the number of days he uses the garage per month so that the amount he spends at the garage per month remains unchanged. Which of the following is closest to Bob’s percentage reduction in the number of days he uses the garage each month?
A.15%
B.18%
C.20%
D.25%
Answer: C.20%
Explanation: Let x be the original number of days that Bob used the garage.
Let P be the original cost per day.
Let N*x be the new number of days that Bob uses the garage.
N*x*1.25P = x*P
N*x = x/1.25 = 0.8x, thus a 20% reduction.
The answer is C.
Question: Which pair of numbers has least and maximum frequency in the given sequence?
8 7 5 6 4 5 8 3 8 6 7 2 3 5 8 3 5 7 6 4 7 6 5
A.3 and 8
B.4 and 5
C.2 and 6
D.2 and 5
Answer: D.2 and 5
Explanation: frequency means how many times the number occured in the given series
here they asked about least and max frequency
so in the given pair 2 occurs 1 time and 5 occurs 5 times
ANSWER:D
Question: What is the diference between the place value and face value of 3 in the numeral 1375?
A.295
B.297
C.300
D.310
Answer: B.297
Explanation: place value of 3 = 3 * 100 = 300
face value of 3 = 3
300 - 3 = 297
B
Question: Which of the following integers is NOT a divisor of x if x = (21)(3^6) – (109)?
A.2
B.5
C.18
D.19
Answer: C.18
Explanation: (21)(3^6) is divisible by 3 but 109 is not divisible by 3.
Therefore (21)(3^6) - 109 is not divisible by 3 and thus not divisible by 18.
The answer is C.
Question: A train passes a station platform in 36 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.299
B.288
C.240
D.775
Answer: C.240
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 / 36 = 15
x + 300 = 540
x = 240 m. Answer: C
Question: Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 19.8 The difference between the unit digit and hundreds digit of that number is :
A.2
B.6
C.5
D.3
Answer: A.2
Explanation: Since the average increased by 29.7 and there were a total of 10 numbers, it means the incorrect number was 198 greater than the correct number.
Say, the correct number was abc (where a, b and c are the digits of the 3 digit number)
Then the incorrect number was cba.
100c + 10b + a - (100a + 10b + c) = 198
99c - 99a = 99(c - a) = 198
198 = 99*2 = 99(c - a)
So c - a = 2
Answer (A)
Question: A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
A.3kmph
B.4kmph
C.5.1kmph
D.6kmph
Answer: C.5.1kmph
Explanation: M = 5.5
S = 1.5
DS = 7
US = 4
AS = (2 * 7 * 4) /11 = 4
Answer:C
Question: A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
A.2/91
B.3/52
C.5/25
D.8/45
Answer: A.2/91
Explanation: n(s)=no of ways of drawing 3 balls out of 15
15C3 = 15*14*13/3*2*1
==>455
n(E)=5C3=5C2 = 5*4/2*1 = 10
p(E) =n(E)/n(S)=10/455 = 2/91
ANSWER A
Question: Working alone, pump A can empty a pool in 4 hours. Working alone, pump B can empty the same pool in 6 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?
A.132
B.138
C.144
D.150
Answer: C.144
Explanation: Pump A can empty (1/4) of the pool per hour.
Pump B can empty (1/6) of the pool per hour.
Together the pumps can empty 1/4+1/6=5/12 of the pool per hour.
1 pool / (5/12) pool per hour = 12/5 hours = 144 minutes.
The answer is C.
Question: The ratio of spinsters to cats is 2 to 7. If there are 55 more cats than spinsters, how many spinsters are there?
A.20
B.21
C.22
D.23
Answer: C.22
Explanation: Let 2x be the number of spinsters. Then 7x is the number of cats.
7x-2x=55
x=11 and the number of spinsters is 2(11)=22.
The answer is C.
Question: If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are
the E odds that x^2+y^2>1?
A.1. pi/4
B.2. E=pi/16
C.3. E=1-pi/4
D.4. 1-pi/16
Answer: C.3. E=1-pi/4
Explanation: area of the square will be 4, and the area of circle with center (0,0) and radius 1 will be pi.
then succesful outcomes = 4 - pi (the area where x2+y2 will be greater than 1)
total outcomes = 4
therefore probability = (4-pi)/4
C
Question: A charity collected $1,299 from donors during the last month. If each donor gave at least $20, what is the greatest possible number of donors the charity could have?
A.60
B.64
C.66
D.68
Answer: B.64
Explanation: Min fund = 20
Total = 1299
The closest multiple of 20 to 1299 is : 63
Which implies 63 people gave 20 and 1 person gave 39
Ans. B
Question: (168% of 1265) ÷ 6 = ?
A.A)354
B.B)175
C.C)225
D.D)375
Answer: A.A)354
Explanation: Explanation :
? = (168 x 1265/100) ÷ 6 = 212520/600 = 354
Answer : Option A
Question: A 13% stock yields 8%.The market value of the stock is :
A.Rs. 72
B.Rs. 92
C.Rs. 162.50
D.Rs. 116.50
Answer: C.Rs. 162.50
Explanation: solution
To obtain Rs. 8, investment = Rs. 100.
To obtain Rs. 13, investment = Rs.(100/8X13)= Rs. 162.50
∴ Market value of Rs. 100 stock = Rs.162.50
Answer C
Question: In what ratio must tea of Rs.42 per kg be mixed with tea of Rs.50 per kg so that cost of mixture is Rs.45 per kg?
A.5:3
B.3:5
C.2:3
D.3:4
Answer: A.5:3
Explanation: 50-45:45-42=5:3
ANSWER:A
Question: The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?
A.s. 25.6
B.s. 70/3
C.s. 16.6
D.s. 26/3
Answer: B.s. 70/3
Explanation: Total members in the group = 7
Average amount = Rs. 30
Total amount with them = 7 * 30 = Rs. 210
One number has Rs. 70. So, the amount with remaining 6 people = 210 - 70 = Rs. 140
The average amount with them = 140/6 = Rs. 70/3
ANSWER:B
Question: The average price of 10 oranges is Rs. 12 while the average price of 8 of these oranges is Rs. 11.75. Of the remaining two oranges, if the price of one orange is 60% more than the price of the other, what is the price of each of these two oranges?
A.Rs 5, Rs 7.50
B.Rs 8, Rs 12
C.Rs 10, Rs 16
D.Rs 12, Rs 14
Answer: C.Rs 10, Rs 16
Explanation: Explanation :
Total price of the two oranges = Rs. [(12 x 10) (11.75 x 8)]
= Rs. (120 - 94) = Rs. 26.
Let the price of one orange be Rs. x.
Then, the price of other orange = Rs. (x + 60% of x) = Rs. x + 3/5x = Rs. 8x/5
So, x + 8x/5 = 26
13x = 130
x = 10.
The prices of the two oranges are Rs. 10 and Rs. 16
Answer : C
Question: A man can row with a speed of 20 kmph in still water. If the stream flows at 10 kmph, then the speed in downstream is?
A.29
B.378
C.20
D.30
Answer: D.30
Explanation: M = 20
S = 10
DS = 20 + 10 = 30
Answer: D
Question: The edges of a cuboid are 4 cm, 5 cm and 6 cm. Find the volume of the cuboid?
A.120
B.298
C.272
D.827
Answer: A.120
Explanation: 4*5*6
= 120
Answer:A
Question: Pipe A can fill a tank in 2 hours, pipe B in 4 hours and pipe C in 4 hours. If all the pipes are open, in how many hours will the tank be filled?
A.2
B.1
C.3
D.4
Answer: B.1
Explanation: Answer:	Part filled by A + B + C in 1 hour = 1/2 + 1/4 + 1/4= 1/1
All the three pipes together will fill the tank in 1 hours.
Answer: B
Question: If a person walks at 10 km/hr instead of 5 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
A.50 km
B.76 km
C.20 km
D.16 km
Answer: C.20 km
Explanation: Let the actual distance traveled be x km. Then,
x/5 = (x + 20)/10
5x - 100 =>x = 20 km.
Answer: C
Question: A two digit number, digits interchange places and the new number is added to the original number, then the resulting number will be divisible by?
A.10
B.11
C.13
D.15
Answer: B.11
Explanation: Let the ten's digit be x and unit's digit be y.
Then, number = 10x + y.
Number obtained by interchanging the digits = 10y + x.
(10x + y) + (10y + x) = 11(x + y), which is divisible by 11.
B
Question: A train 125 m long passes a man, running at 6 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A.40
B.50
C.51
D.79
Answer: C.51
Explanation: Speed of the train relative to man = 125/10 = 25/2 m/sec.
= 25/2 * 18/5 = 45 km/hr
Let the speed of the train be x km/hr. Then, relative speed = (x - 6) km/hr.
x - 6 = 45 => x = 51 km/hr.
Answer: Option C
Question: Eight family members are seated around their circular dinner table. If only arrangements that are considered distinct are those where family members are seated in different locations relative to each other, and Michael and Bobby insist on sitting next to one another, then how many distinct arrangements around the table are possible?
A.1040
B.1240
C.1440
D.1640
Answer: C.1440
Explanation: Let's consider Michael and Bobby as one unit.
There are 7! possible arrangements of 7 units.
Around a table, there would be repetitions of each arrangement, so we divide by 7.
Then there are 6! arrangements around a circular table.
For each arrangement, Michael and Bobby can switch places, so we multiply by 2.
The number of arrangements is 6!*2 = 1440.
The answer is C.
Question: Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 160 m, in what time will they cross other travelling in opposite direction?
A.17 sec
B.12 sec
C.16 sec
D.15 sec
Answer: C.16 sec
Explanation: Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train = 120/5 = 8 m/sec.
Relative speed = 12 + 8 = 20 m/sec.
Required time = (160 + 160)/20 = 16 sec.
Answer:C
Question: Excluding stoppages, the speed of a train is 50 kmph and including stoppages it is 30 kmph. Of how many minutes does the train stop per hour?
A.82
B.17
C.12
D.24
Answer: D.24
Explanation: Explanation:
T = 20/50 * 60 = 24
Answer: Option D
Question: How many arrangements can be made out of the letters of the word 'ENGINEERING' ?
A.277200
B.92400
C.69300
D.23100
Answer: A.277200
Explanation: The word 'ENGINEERING' contains 11 letters, namely 3E, 3N, 2G, 2I and 1R.
∴ Required number of arrangements = 11!/(3!)(3!)(2!)(2!)(1!) = 277200.
Answer is A
Question: From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 10 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
A. 38
B. 39
C. 40
D. 41
Answer: D. 41
Explanation: 1.10x=45 --> 11/10*x=45 --> x=45*10/11=450/11=~41.
Answer: D.
Question: On a map, 1 centimeter represents 17 kilometers. Two cities 663 kilometers apart would be separated on the map by how many centimeters?
A.15
B.27
C.39
D.270
Answer: C.39
Explanation: X=663/17= 39
Answer: C
Question: The average marks scored by Ganesh in English, Science, Mathematics and History is less than 18 from that scored by him in English, History, Geography and Mathematics. What is the difference of marks in Science and Geography scored by him?
A.72
B.50
C.60
D.Data inadequate
Answer: A.72
Explanation: E+H+G+M/4âˆ’E+S+M+H/4=18
â‡’ G - S = 72
Answer A
Question: Which is longest: a foot, a yard or an inch?
A.a yard
B.inch
C.foot
D.feet
Answer: A.a yard
Explanation: 3 feet = 1 yard
12 inches = 1 foot
answer A
Question: If p and q are integers, such that p < 3 < q, and s is a nonnegative integer, which of the following must be true?
A.p^2 < q^2
B.p + q = 0
C.sp < sq
D.sp ≠ sq
Answer: B.p + q = 0
Explanation: We're told that P < 0 < Q and that S is a NON-NEGATIVE INTEGER. We're asked which of the following MUST be true.
P = -2
Q = 2
S = 0
Answer A: P^2 < Q^2.... 4 < 1 NOT TRUE
Answer B: P+Q=0... -2+1 = -1 NOT TRUE
Answer C: SP < SQ... 0 < 0 NOT TRUE
Answer D: SP ≠ SQ... 0 = 0 NOT TRUE
Answer E: P+Q=0 This IS TRUE
B
Question: A grocer stacked apples in a pile. The bottom layer was rectangular with 3 rows of 5 apples each. In the second layer from the bottom, each apple rested on 4 apples from the bottom layer, and in the third layer, each apple rested on 4 apples from the second layer. Which of the following is the maximum number of apples that could have been in the third layer?
A. 5
B. 3
C. 6
D. 2
Answer: B. 3
Explanation: Bottom Layer = 5 x 3 = 15
IInd Layer = (5-1) x (3-1) = 8
IIIrd Layer = (4-1) x (2-1) = 3
Answer = 3 = B
Question: The radius of a sphere is increased by 50%. The increase in surface area of the sphere is :
A.168
B.125
C.186
D.197
Answer: B.125
Explanation: Explanation:
Take radius 100. Then surface area is 4 × ππ × 100 × 100.
After increase radius by 50% the radius becomes100 + 50% of 100 = 150
Then new surface area is 4 × ππ × 150 × 150
Then put the values into formula of percentage = 4π1502−4π10024π1002×1004π1502−4π10024π1002×100 = 125%
Answer: B
Question: If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A.9
B.8
C.7
D.6
Answer: B.8
Explanation: 96% ---- 12
144% ---- ?
96/144 * 12 = 8
Answer: B
Question: How much is 80% of 40 is greater than 2/5 of 25?
A.22
B.27
C.18
D.12
Answer: A.22
Explanation: (80/100) * 40 â€“ (2/5) * 25
32 - 10 =22
Answer:A