question stringlengths 10 716 | options listlengths 4 4 | answer stringclasses 4 values | correct_option stringlengths 1 63 | explanation stringlengths 0 2.6k | dataset stringclasses 3 values |
|---|---|---|---|---|---|
A radio station has to choose one day of the seven in a week to broadcast a certain program, and that set will repeat each week. The program can be broadcast equally on any of the seven weekdays —- weekdays vs. weekends don’t matter at all —- nor does it matter whether the days the program airs are adjacent or not. Absolutely any three of the seven weekdays can be chosen. How many different three-day combinations of the seven weekdays can be constructed? | [
"7",
"15",
"21",
"35"
] | A | 7 | Behind the story, we are really being asked to evaluate 7C1. We could use the factorial formula, but above we conveniently happen to have Pascal’s Triangle written out to the seventh row. We see that 7C1, the third entry of the seventh row, is 7. Answer = A. | aqua_rat |
What makes luminous dials glow in the dark? | [
"devil substances",
"phosphorescent substances",
"polymer substances",
"eerie substances"
] | B | phosphorescent substances | Once excited, an atom or molecule will usually spontaneously de-excite quickly. (The electrons raised to higher levels are attracted to lower ones by the positive charge of the nucleus. ) Spontaneous de-excitation has a very short mean lifetime of −8 typically about 10 s . However, some levels have significantly longer lifetimes, ranging up to milliseconds to minutes or even hours. These energy levels are inhibited and are slow in de-exciting because their quantum numbers differ greatly from those of available lower levels. Although these level lifetimes are short in human terms, they are many orders of magnitude longer than is typical and, thus, are said to be metastable, meaning relatively stable. Phosphorescence is the de-excitation of a metastable state. Glow-in-the-dark materials, such as luminous dials on some watches and clocks and on children’s toys and pajamas, are made of phosphorescent substances. Visible light excites the atoms or molecules to metastable states that decay slowly, releasing the stored excitation energy partially as visible light. In some ceramics, atomic excitation energy can be frozen in after the ceramic has cooled from its firing. It is very slowly released, but the ceramic can be induced to phosphoresce by heating—a process called “thermoluminescence. ” Since the release is slow, thermoluminescence can be used to date antiquities. The less light emitted, the older the ceramic. (See Figure 30.35. | science |
What is the probability of getting a sum 9 from two throw of a dice? | [
"1/6",
"1/8",
"1/9",
"1/12"
] | C | 1/9 | In two throws of die, n(S)=36
Let E =event of getting a sum 9
={(3,6), (4,5),(5,4),(6,3)}
P(E)=4/36=1/9
ANSWER C 1/9 | aqua_rat |
In the given series find the number which is wrong.
215,28,63,126,7,343 | [
"215",
"28",
"126",
"343"
] | D | 343 | 215=6*6*6-1
28=3*3*3+1
63=4*4*4-1
126=5*5*5+1
7=2*2*2-1
343 should be 7*7*7+1= 344 but it is 343
ANSWER:D | aqua_rat |
A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is | [
"2 years",
"3years",
"4 years",
"5 years"
] | C | 4 years | Let the time be x years. Then (600 *3* x)/100 + (800*9*x)/(2*100) = 24
18x+ 36x = 246 ; x = 246/54 = 4 years
Required time = 4 years
ANSWER:C | aqua_rat |
Find the odd man out. 1, 8, 27, 64, 125, 196, 216, 343 | [
"64",
"196",
"216",
"1"
] | B | 196 | Explanation :
The pattern is 1^3, 2^3, 3^3, 4^3, 5^3, 6^3, 7^3.
196 is not a perfect cube
Answer : Option B | aqua_rat |
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280 more at the second station it drops one half the new total and takes twelve more. On arriving at the third station it is found to have 240 passengers. Find the no of passengers in the beginning? | [
"264",
"180",
"192",
"144"
] | A | 264 | Let no of passengers in the beginning be X
After first station no passengers=(X-X/3)+280=2X/3 +280
After second station no passengers =1/2(2X/3+280)+12
1/2(2X/3+280)+12=240
2X/3+280=2*228 = 456 - 280 = 176
2X/3=176
X=264. So the answer is option A) 264. | aqua_rat |
Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time W it could take for 10 cars to be complete? | [
"111 1/9 minutes",
"115 2/5 minutes",
"116 minutes",
"120 minutes"
] | D | 120 minutes | A builds 4 cars in 80 min
B builds 4 cars in 100 min
So A builds another car in another 20 min (i.e total 5 cars)
B builds another car in another 25 minutes (i.e, total 5 cars)
However, A can build another car in next 20 min (i.e total 6 cars)
So total time W= 125 min by B, which is > 120 min by A
B - 4 cars, A - 6 cars
Answer = D | aqua_rat |
A coin is tossed live times. What is the probability that there is at the least one tail? | [
"31/32",
"31/37",
"31/18",
"31/10"
] | A | 31/32 | Let P(T) be the probability of getting least one tail when the coin is tossed five times.
= There is not even a single tail.
i.e. all the outcomes are heads.
= 1/32 ; P(T) = 1 - 1/32 = 31/32
Answer: A | aqua_rat |
What is generated when a heart ventricle contracts? | [
"blood pressure",
"artery pressure",
"vein pressure",
"blood force"
] | A | blood pressure | science | |
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days? | [
"2/5",
"1/6",
"1/4",
"1/9"
] | B | 1/6 | B
1/6
A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6. | aqua_rat |
The pages of a report are numbered consecutively from 1 to 6. If the sum of the page numbers up to and including page number x of the report is equal to one less than the sum of the page numbers following page number x, then x = | [
"4",
"5",
"6",
"3"
] | A | 4 | sum of the first few numbers =1+2+3+4 =10
sum of the last few = 5 +6 =11 page no.4 answer .A | aqua_rat |
A photo-mat shop charges $0.55 for the first photo inside a film, and 40% cents less for each additional photo. How many photos can we develop with $52.58 if each film contains 36 photos? | [
"4 films and 12 photos",
"5 films and 6 photos",
"5 films and 14 photos",
"6 films and 4 photos"
] | A | 4 films and 12 photos | 1st photo = 0.55
Subsequent = 0.55*0.6=0.33
Price of 1 full film=0.55+0.33*35=12.1
Price of 4 full film = 12.1*4=48.4
52.58-48.4=4.18
4.18=0.55+0.33x
x=11
52.58--->4 full films and 1+11=12 photos
Answer: A
Shortcut:
Price of 1 full film is 12.1 so we cannot have 5 full films as 12.1*5=60.5 and we need 52.58. Only option A seems valid. | aqua_rat |
Plant cells have cell walls that are made of what? | [
"carbonate",
"nucleus",
"cellulose",
"tissue"
] | C | cellulose | Plants are multicellular eukaryotes that are placed in the Plant Kingdom . Plant cells have cell walls that are made of cellulose. Plant cells also have chloroplasts. They allow plants to make food by photosynthesis. In addition, plants have specialized reproductive organs that produce gametes. Male reproductive organs produce sperm. Female reproductive organs produce eggs. Male and female reproductive organs may be on the same plant or on different plants. | science |
If |x| < x^2, which of the following must be true ? | [
"x² >- 1.",
"x² > -2.",
"x² > 0.",
"x² > 1."
] | D | x² > 1. | |x| < x² implies that x is NONZERO.
Since x is nonzero, |x| > 0 and x² > 0.
Implication:
Both sides of the inequality are positive, allowing us to SQUARE the inequality.
(|x|)² < (x²)²
x² < x⁴.
Since x² > 0, we can safely DIVIDE both sides by x²:
x²/x² < x⁴/x²
1 < x²
x² > 1.
Answer D | aqua_rat |
The mass of 1 cubic meter of a substance is 300 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters) | [
"3.33",
"3.34",
"3.53",
"5.32"
] | A | 3.33 | 300 kg - 1 cubic meter;
300,000 g - 1 cubic meter;
300,000 g - 1,000,000 cubic centimeters;
1 g - 1,000,000/300,000 = 10/3 = 3.33 cubic centimeters.
Answer: A. | aqua_rat |
Which of the following is a prime number ? | [
"65",
"35",
"97",
"35"
] | C | 97 | C
97
Explanation: Clearly, 97 is a prime number. | aqua_rat |
Many ionic compounds with relatively large cations and a 1:1 cation:anion ratio have this structure, which is called the what? | [
"boron chloride structure",
"hydrocarbon structure",
"analogous structure",
"cesium chloride structure"
] | D | cesium chloride structure | Common Structures of Binary Compounds As shown in part (a) in Figure 12.8 "Holes in Cubic Lattices", a simple cubic lattice of anions contains only one kind of hole, located in the center of the unit cell. Because this hole is equidistant from all eight atoms at the corners of the unit cell, it is called acubic hole. An atom or ion in a cubic hole therefore has a coordination number of 8. Many ionic compounds with relatively large cations and a 1:1 cation:anion ratio have this structure, which is called the cesium chloride structure (Figure 12.9 "The Cesium Chloride Structure") because CsCl is a common example. | science |
he average of 25 numbers is zero. Of them, at the most, how many may be greater than zero? | [
"0",
"1",
"24",
"19"
] | C | 24 | Average of 25 numbers = 0.
Sum of 25 numbers (0 x 25) = 0.
It is quite possible that 24 of these numbers may be positive and if their sum is a the 25th number is (-a).
Answer: Option C | aqua_rat |
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters
Look at this series: C19, E21, __, I25, K27, ... What number should fill the blank? | [
"D20",
"E21",
"F22",
"G23"
] | B | E21 | B
G23
In this series, the letters progress by 2, and the numbers increase by 2. | aqua_rat |
An automobile engine transforms chemical energy into what? | [
"driving",
"Greenhouse gases",
"moving objects",
"Something to move"
] | C | moving objects | An automobile engine transforms chemical energy into moving objects. | qasc |
what must organisms that live in maine biomes be adapted to? | [
"wetland",
"bamboo",
"heat",
"oceans"
] | D | oceans | organisms that live in marine biomes must be adapted to oceans | qasc |
John and Tony began business with Rs.12000 and Rs.14000 after 8 months, John withdraws Rs.2000 and Tony withdraws Rs.4000. At the end of the year, their profits amounted to Rs.4500 find the share of Tony. | [
"2375",
"2325",
"2300",
"3375"
] | A | 2375 | (12*8 + 10*4):(14*8 + 10*4)
17:19
19/36 * 4500 = 2375. Answer: A | aqua_rat |
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages? | [
"30, 40",
"30, 47",
"30, 46",
"30, 498"
] | A | 30, 40 | Their present ages be 3X and 4X.
5 years age, the ratio of their ages was 5:7, then (3X - 5):(4X - 5) = 5:7
X = 35 - 25 => X = 10.
Their present ages are: 30, 40.
Answer: A | aqua_rat |
A man can row 9km/hrin still water. it takes him twice as long to row upas to row down the river find the rate of the stream Rate of the current ? | [
"2km/hr",
"63.8km/hr",
"8.9km/hr",
"9.6km/hr"
] | A | 2km/hr | Lets man's rate in upstream =xkm/hr.
man's rate down stream =2xkm/hr. man's rate in still water =1/2(x+2x)km/hr ==>3x/2=6==>x=4 The rate upstream=4km/hr . The rate down stream=8km/hr. Rate of the current=1/2(8-4)km/hr=2km/hr
Answer is (A) | aqua_rat |
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km/hr and 90 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? | [
"48",
"93",
"24",
"23"
] | C | 24 | Relative speed = 60 + 90 = 150 km/hr.
150 * 5/18 = 125/3 m/sec.
Distance covered = 500 + 500 = 1000 m.
Required time = 1000 * 3/125 = 24 sec.
Answer:C | aqua_rat |
Fish use some of their fins to propel themselves through the water and others to do what? | [
"rest",
"reproduce",
"steer",
"breathe"
] | C | steer | Most fish have several fins for swimming. They use some of their fins to propel themselves through the water and others to steer the body as they swim. | science |
Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 3125 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year period. | [
"1287",
"1285",
"1283",
"1280"
] | D | 1280 | Trees increase by 1/4 the number of trees in preceding year. Hence, correct answer must be divisible by 4. Based on divisibility rules, if last 2 digits are divisible by 4 then the number is divisible by 4. Thus, we can eliminate A, B, C,E The answer to be D
Again, trees increase by 1/4 the number of trees in preceding year. Hence, the number of trees increase by 5/4 times the number of trees the preceding year.
If x = initial number of trees = 1280
Year 1 = 5/4x
Year 2 = (5/4)(5/4)x
Year 3 = (5/4)(5/4)(5/4)x
Year 4 = (5/4)(5/4)(5/4)(5/4)x
Only for Answer D: (5/4)(5/4)(5/4)(5/4)1280 = 3125
Hence, correct answer = D | aqua_rat |
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be: | [
"3",
"2",
"1",
"5"
] | A | 3 | Answer: Option A
Given number = 97215x6
(6 + 5 + 2 + 9) - (x + 1 + 7) = (14 - x), which must be divisible by 11.
x = 3 | aqua_rat |
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number? | [
"12",
"18",
"20",
"24"
] | C | 20 | 2:3
2x + 10 : 3x + 10 = 3 : 4
4[2x + 10] = 3[3x + 10]
8x + 40 = 9x + 30
9x - 8x = 40 - 30
x = 10
Then smallest number is = 2
2x = 20
C | aqua_rat |
Light is scattered from what in our atmosphere? | [
"ions",
"molecules",
"matter",
"particles"
] | B | molecules | Light is scattered from the molecules in our atmosphere. | science |
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? | [
"1218",
"2777",
"1200",
"2688"
] | C | 1200 | CP* (76/100) = 912
CP= 12 * 100 => CP = 1200
Answer: C | aqua_rat |
The average of 11numbers is 60. Out of 11numbers the average of first 6no. is 78, and last 6numbers is 75 then find 6th number? | [
"A)258",
"B)65",
"C)58",
"D)62"
] | A | A)258 | 6th number = sum of 1st 6no.s + sum of last 6no.s - sum of 11no.s
answer = 6*78+6*75-11*60 = 258
Answer is A | aqua_rat |
Students are partnered in the class and are given stickers for their behavior. Green stickers are for good behavior, yellow stickers are for okay behavior, and red stickers for for behavior requiring discipline. The students' desks are labeled A, B, C, and D. If A:B = green/yellow, B:C = yellow/red, C:D = red/student absent no sticker, and then D:A are partnered. What will D:A sticker color be if behavior does not change? | [
"green only",
"yellow only",
"red only",
"A & C"
] | A | green only | Solution
A : B = green : yellow, B : C = yellow : red, C : D = red : student absent no sticker
∴A∶B∶C∶D= green : yellow : red : student absent no sticker.
Thus, A : D = green : student absent no sticker Or D : A = student absent no sticker: green
Correct Option A | aqua_rat |
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is? | [
"688",
"798",
"698",
"699"
] | C | 698 | S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.
Principal = Rs. (815 - 117) = Rs. 698.
Answer:C | aqua_rat |
There are 300 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%? | [
"200",
"175",
"150",
"125"
] | C | 150 | There are 297 managers and 3 others. The 3 others would compose 2% of the total number of people if there were 150 people in the room. Thus 150 managers must leave.
The answer is C. | aqua_rat |
Most air masses form over what two types of regions? | [
"polar and arctic",
"polar and tropical",
"marine and tropical",
"arctic and marine"
] | B | polar and tropical | Most air masses form over polar or tropical regions. They may form over continents or oceans. Air masses are moist if they form over oceans. They are dry if they form over continents. Air masses that form over oceans are called maritime air masses. Those that form over continents are called continental air masses. Figure below shows air masses that form over or near North America. | science |
If the sum of two integers is 6, then it must be true that | [
"both integers are even",
"both integers are odd",
"both integers are positive",
"if one integer is negative, the other is positive"
] | D | if one integer is negative, the other is positive | We're asked to find a statement that MUST be true. So, if we can find a case where a statement is false, we can ELIMINATE that answer choice.
(A) both integers are even : it could be the case that the numbers are 1 and 5. ELIMINATE A
(B) both integers are odd : it could be the case that the numbers are 2 and 4. ELIMINATE B
(C) both integers are positive : it could be the case that the numbers are -1 and 7. ELIMINATE C
(D) if one integer is negative, the other is positive : Can't think of a counterexample so KEEP D for now
(E) if one integer is positive, the other is negative : it could be the case that the numbers are 1 and 5. ELIMINATE E
By the process of elimination, the correct answer is D | aqua_rat |
A certain industrial machine requires 15 quarts (480 ounces) of oil every day, and it is given a mixture of oil A and oil B. Oil A consists of 5% special additives while oil B consists of 8% special additives. If the machine needs exactly 40 ounces of the special additives to ensure smooth operation, then how much of oil A, in ounces, should be in the mixture? | [
"a.\tA – 53.33",
"b.\tB – 280",
"c. C – 290",
"d.\tD – 300"
] | A | a. A – 53.33 | 5%*x + 8% *(480-x)=40
1.6 = 3 %*x
x=53.33
A | aqua_rat |
The average of 35 numbers is 25. If each number is multiplied by 5, find the new average? | [
"125",
"189",
"297",
"267"
] | A | 125 | Sum of the 35 numbers = 35 * 25 = 875
If each number is multiplied by 5, the sum also gets multiplied by 5 and the average also gets multiplied by 5.
Thus, the new average = 25 * 5
= 125.
Answer:A | aqua_rat |
The banker's discount on $1600 at 15% per annum is the same as true discount on $1680 for the same time and at the same rate. The time is: | [
"2 months",
"1 months",
"4 months",
"8 months"
] | C | 4 months | S.I. on $1600 = T.D. on $1680.
THEREFORE $1600 is the P.W. of $1680, i.e., $80 is on $1600 at 15%.
Time =(100 x 80/ 1600 x 15) year = 1/3 year = 4 months.
ANSWER:C | aqua_rat |
Statements: Population increase coupled with depleting resources is going to be the scenario of many developing countries in days to come. Conclusions: 1) The population of developing countries will not continue to increase in future. 2) It will be very difficult for the governments of developing countries to provide its people decent quality of life. | [
"Only conclusion I follows",
"Only conclusion II follows",
"Either I or II follows",
"Neither I nor II follows"
] | B | Only conclusion II follows | The fact given in I is quite contrary to the given statement. So, I does not follow. II mentions the direct implications of the state discussed in the statement. Thus, II follows.
B | aqua_rat |
65% of x = 20% of 552.50. Find the value of x? | [
"100",
"170",
"150",
"180"
] | B | 170 | 65% of x = 20% of 552.50
Then, 65/100 * x = 20/100 * 5525/10
x = 170
Answer is B | aqua_rat |
How long does a train 140 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length? | [
"13.6 sec",
"12.1 sec",
"17.9 sec",
"16.8 sec"
] | A | 13.6 sec | Speed = 72 * 5/18 = 20 m/sec
Total distance covered = 140 + 132 = 272 m.
Required time = 272/20 = 13.6 sec.
Answer: A | aqua_rat |
Kiran travels from A to B by car and returns from B to A by cycle in 7 hours. If he travels both ways by car he saves 3 hours. What is the time taken to cover both ways by cycle? | [
"10",
"88",
"267",
"28"
] | A | 10 | Let the time taken to cover from A to B in car and cycle be x hours and y hours respectively.
x + y = 7 --- (1) ; 2x = 4 --- (2)
solving both the equations, we get y = 5
So, time taken to cover both ways by cycle = 2y hours = 10 hours.
Answer: A | aqua_rat |
Arun, Akash, Amir and Aswanth go for a picnic. When Arun stands on a weighing machine, Akash also climbs on, and the weight shown was 132 kg. When Akash stands, Amir also climbs on, and the machine shows 130 kg. Similarly the weight of Amir and Aswanth is found as 102 kg and that of Akash and Aswanth is 116 kg. What is Aswanth’s weight? | [
"58kg",
"78 kg",
"44 kg",
"48 kg"
] | C | 44 kg | arun+akash=132-----eq1
akash+amir=130------eq2
amir+aswanth=102------eq3
akash+aswanth=116-------eq4
solving eq 2 and 4
we get amir-aswanth=14-------eq5
now solving eq 3 and 5
we get aswanth=44
ANSWER:C | aqua_rat |
65% of x = 20% of 422.50. Find the value of x? | [
"100",
"130",
"150",
"180"
] | B | 130 | 65% of x = 20% of 422.50
Then, 65/100 * x = 20/100 * 4225/10
x = 845/10 * 100/65 = 130
Answer is B | aqua_rat |
How are genetic traits passed down to offspring? | [
"Through mucus",
"Through chromosomes",
"Through bacteria",
"Plant reproduction"
] | B | Through chromosomes | Genetic traits are passed down to offspring through chromosomes | qasc |
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is? | [
"50 kmph",
"62 kmph",
"54 kmph",
"74 kmph"
] | B | 62 kmph | B
54 kmph
S = 240/16 * 18/5 = 54 kmph | aqua_rat |
If a = 0.1039, then the value of √4a2 - 4a + 1 + 3a is: | [
"0.1039",
"0.2078",
"1.1039",
"2.1039"
] | C | 1.1039 | Explanation:
√4a2 - 4a + 1 + 3a = √(1)2 + (2a)2 - 2 x 1 x 2a + 3a
=√(1 - 2a)2 + 3a
= (1 - 2a) + 3a
= (1 + a)
= (1 + 0.1039)
= 1.1039
ANSWER IS C | aqua_rat |
Soymilk are sold in packages of two or three only. If Hannah bought 17 Soymilk exactly, what could be the number of large packs Hannah bought? | [
"1",
"4",
"3",
"5"
] | C | 3 | Let number of packs of three = t
let number of packs of two = w
3t + 2w = 17
Now , we need to test for values of w .
Since sum 17 is odd and 2w will always be even, therefore w can't be even .
Now , we can test for values w = 1 , 3 and 5
2*4 + 3*3 = 8 + 9 = 17
Answer C | aqua_rat |
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water? | [
"20 kmph",
"40 kmph",
"30 kmph",
"55 kmph"
] | C | 30 kmph | US = 25
DS = 35
M = (35 + 25)/2 = 30
Answer:C | aqua_rat |
The paragraph can start only with the sentence E. The opening words of the sentence of ‘B’ – ‘these two parties’ is a continuation of the last words of the sentence E– ‘two parties’. There are only two options with EB; in the option 4, D follows B; but whom the opening pronoun ‘he’ of D does refer to? F is the further explanation of B. Hence EBFCAD. | [
"11",
"77",
"26",
"99"
] | B | 77 | Answer: B | aqua_rat |
12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required? | [
"5 days",
"6 days",
"7 days",
"8 days"
] | D | 8 days | That is, 1 work done = 12 × 8 × 10
Then, 12 8 × 10 = ? × 15 × 8
? (i.e. No. of men required) = 12 × 8 × 10/15× 10 = 8 days
D) | aqua_rat |
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there? | [
"209",
"145",
"321",
"521"
] | A | 209 | We may have (1 boy and 3 girls) or (2 boys and 2 girls) or (3 boys and 1 girl) or (4 boys).
Required number
of ways = (6C1 x 4C3) + (6C2 x 4C2) + (6C3 x 4C1) + (6C4)
= (6C1 x 4C1) + (6C2 x 4C2) + (6C3 x 4C1) + (6C2)
= (24 + 90 + 80 + 15)
= 209.
Ans: A | aqua_rat |
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made? | [
"Rs. 1,10,000",
"Rs. 1,20,000",
"Rs. 1,24,000",
"Rs. 1,21,000"
] | C | Rs. 1,24,000 | The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000
SP such that a profit of Rs. 24,000 is made = 96,000 + 28,000 = Rs. 1,24,000
ANSWER:C | aqua_rat |
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions? | [
"794 m",
"704 m",
"454 m",
"186 m"
] | B | 704 m | In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions.
= 500 * 2 * 22/7 * 22.4
= 70400 cm
= 704 m
Answer: B | aqua_rat |
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas? | [
"81:121",
"81:131",
"81:145",
"81:167"
] | A | 81:121 | Ratio of the sides
= ³√729 : ³√1331 = 9 : 11
Ratio of surface areas
= 92 : 112 = 81:121
Answer:A | aqua_rat |
An error 19% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square? | [
"6.64%",
"41.61%",
"45.64%",
"46.64%"
] | B | 41.61% | Percentage error in calculated area
=(19+19+(19×19)/100)%=41.61%
ANSWER:B | aqua_rat |
V is the volume of a cylinder; the radius r is 3.4. The height is 350% more than the radius. Which of the following is true? | [
"100 < V < 300",
"300 < V < 500",
"500 < V < 700",
"700 < V < 900"
] | C | 500 < V < 700 | As we see the answers are in form of range we can use approximation
Volume of cylinder is πr^2h
Given π= 22/7 and r = 3.4 so r^2 ~ 12 and h = 4.5 * 3.4 ~ 15
So 22/7 * 12 * 15 = 566
so answer should be
C. 500 < V < 700
Answer : C | aqua_rat |
John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $50. What is the percent decrease? | [
"20%",
"30%",
"40%",
"50%"
] | D | 50% | The is always the difference between our starting and ending points. In this case, it’s 100 – 50 = 40. The “original†is our starting point; in this case, it’s 100. (50/100)*100 = (0.5)*100 = 50%.
D | aqua_rat |
The annual interest rate earned by an investment increased by 11 percent from last year to this year. If the annual interest rate earned by the investment this year was 22 percent, what was the annual interest rate last year? | [
"17%",
"19%",
"18%",
"20%"
] | D | 20% | let i = interest rate
i(this year) = i(last year) + 0.11i(last year) = 1.11i(last year)
22 = 1.11 x i(last year)
i(last year) = 22/1.1 = 220/11 = 20%
Answer : D | aqua_rat |
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is : | [
"45 runs",
"46 runs",
"48 runs",
"49 runs"
] | C | 48 runs | 10(x-8) + 108 = 11x , x = 48 . This is the shortest way
or
10*6=60 runs for 10 innings and 108 in 11th innings then 108-60=48 runs
ANSWER:C | aqua_rat |
Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. If Rachel eats four scones in ten minutes, then the number of minutes it takes Henry to eat 12 scones must be equal to which of the following? | [
"Y/5",
"3Y/10",
"100Y/(15X)",
"XY/250"
] | B | 3Y/10 | Rachel eats 4 scones/10 minutes = 2/5 scones per minute
The time for Rachel to eat 1 scone is 5/2 minutes.
The time for Rachel to eat Y scones is 5Y/2 minutes.
The time for Henry to eat X scones is 5YX/200 minutes.
The time for Henry to eat 1 scone is 5Y/200 minutes.
The time for Henry to eat 12 scones is 60Y/200 = 3Y/10 minutes.
The answer is B. | aqua_rat |
There is a total of 90 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/6 and the probability that it will be green is 1/5. What is the probability that the marble will be either red or blue? | [
"3/5",
"7/15",
"11/15",
"19/30"
] | D | 19/30 | P(red or blue) = 1 - P(white) - P(green) = 30/30 - 5/30 - 6/30 = 19/30
The answer is D. | aqua_rat |
If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet? | [
"90",
"100",
"110",
"120"
] | D | 120 | The projectiles travel a total of 999 km per hour.
The time to meet is 1998/999=2 hours = 120 minutes
The answer is D. | aqua_rat |
Adding salt to liquid decreases what? | [
"light",
"energy",
"magnetism",
"thawing temp"
] | D | thawing temp | science | |
In a village of 100 households, 75 have at least one DVD player, 85 have at least one cell phone, and 70 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is: | [
"65",
"55",
"40",
"35"
] | C | 40 | Am I missing something here??? it seems straightforward......
The obvious maximum that have all 3 is 70, because you are limited by the SMALLEST number.
The minimum is simply the sum of the max of each people who DONT have the product, so:
100-85 = 15 don't have Cell
100-75 = 25 don't have DVD
and 100-70 = 30 don't have MP3
SO a total of 15+25+30 = 70 combined who might NOT have SOME combination of the 3 products. So subtract that from 100, to give you the minimum of the people who COULD have all 3 and you get 100-70 = 30.
70-30 = 40
C | aqua_rat |
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train? | [
"69.5 km/hr",
"70 km/hr",
"79 km/hr",
"79.2 km/hr"
] | D | 79.2 km/hr | Let the length of the train be x m and its speed be y m/sec.
Then, x/y = 8 => x = 8y
(x + 264)/20 = y
y = 22
Speed = 22 m/sec = 22 * 18/5 = 79.2 km/hr.
ANSWER:D | aqua_rat |
what unites to form a diploid zygote? | [
"plant reproduction",
"Most plants",
"orchids",
"sperm and ova"
] | D | sperm and ova | sperm and ova unite to form a diploid zygote | qasc |
If x = y+3+4.5x and y = x+17, what is the value of x/y ? | [
"-6/5.",
"-40/113.",
"1/4.",
"5/6."
] | B | -40/113. | (1) x = y + 3 + 4.5x
Substitute y for y = x + 17 (Eq. we are given)
x = x + 17 + 3 + 4.5x
Combine like terms
x = 5.5x + 20 --> -4.5x = 20 --> x = -40/9
(2) y = x + 17
Substitute x for x = -40/9
y = (-40/9) + 17 = 113/9
(3) x/y = ?
Substitute x and y we found above
x/y = (-40/9) / (113/9) = (-40/9) * (9/113) = -40/113
My answer: B | aqua_rat |
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by six when k is any of the following values EXCEPT | [
"-4",
"-2",
"-1",
"2"
] | D | 2 | We have the product of 3 integers: (x-1)x(x-k).
Note that the product of 3 integers is divisible by 6 if at least one multiple is divisible by 6. Now, to guarantee that at least one integer out of x, (x – 1), and (x – k) is divisible by 6 these numbers must have different remainders upon division by 3, meaning that one of them should have remainder of 1, another reminder of 2 and the last one remainder of 0, so be divisible by 6.
Next, if k=2 then we'll have (x-1)x(x-2)=(x-1)x(x-2) --> which means that (x-1) and (x-2) will have the same remainder upon division by 6. Thus for k=2 we won't be sure whether (x-1)x(x-k) is divisible by 6.
Answer: D. | aqua_rat |
what are living things that cannot make their own food? | [
"hydrogen",
"clouds",
"animals",
"humans"
] | C | animals | animals are living things that cannot make their own food | qasc |
If 4 men working 10 hours a day earn Rs. 1000 per week, then 9 men working 6 hours a day will earn how much per week? | [
"Rs 840",
"Rs 1350",
"Rs 1620",
"Rs 1680"
] | B | Rs 1350 | Explanation :
(Men 4:9) : (Hrs/Day 10:6) :: 1000 : x
hence 4 * 10 *x = 9 * 6 * 1000
or x = 9*6*1000/ 4*10 = 1350
Answer : B | aqua_rat |
If the price of a certain computer increased 30 percent from a dollars to 351 dollars, then 2a = | [
"540",
"570",
"619",
"649"
] | A | 540 | Before Price increase Price = a
After 30% Price increase Price = a+(30/100)*a= 1.3a = 351 (Given)
i.e. a= 351/1.3 = $270
i.e. 2a = 2*270 = 540
Answer: option A | aqua_rat |
How Many 7’s are there in the following sequence which are immediately preceded by 6 but not immediately followed by 4?
6 7 4 2 7 4 9 3 6 7 1 9 4 7 2 9 6 7 1 3 6 7 4 3 6 | [
"1",
"2",
"3",
"4"
] | B | 2 | Answer: B . 2 | aqua_rat |
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is? | [
"2662",
"1286",
"1987",
"8112"
] | D | 8112 | Explanation:
A = 7500(26/25)2 = 8112
Answer:D | aqua_rat |
If the product of the integers from 1 to n is divisible by 1029, what is the least possible value of n? | [
"7",
"14",
"21",
"28"
] | C | 21 | 1029 = 7 x 7 x 7 x 3
N must include at least 7, 2*7, and 3*7.
The answer is C. | aqua_rat |
The average of 45 students in a class is 18 years. The average age of 21 students is 16. What is the average age of remaining 14 students? | [
"21",
"16",
"17",
"18"
] | D | 18 | Sum of the ages of 14 students
= (18* 45) - (18 * 21) = 810 - 378 = 432
Required average = (266/23)
= 18 years.
Answer: D | aqua_rat |
what requires great amounts of water to survive | [
"sunlight",
"beavers",
"octopus",
"mussels"
] | B | beavers | beavers require great amounts of water to survive | qasc |
A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full? | [
"17",
"16",
"70",
"36"
] | D | 36 | 1/12 - 1/18 = 1/36
36 minutes
Answer: D | aqua_rat |
There are w members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 55 possible combinations in which Michael is not selected, what is the value of w? | [
"11",
"12",
"15",
"18"
] | B | 12 | Combinations of two persons, in which Michael was not selected = 55
number of ways two persons can be selected from m people = m*(m-1)/2
Let m be the number of people excluding Michael, then m*(m-1) = 110 => m=11
Thus, w = m + 1(Michael) = 12
option B | aqua_rat |
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1792? | [
"1600",
"2777",
"2889",
"27670"
] | A | 1600 | 1792 = P [1 + (5*12/5)/100]
P= 1600.Answer:A | aqua_rat |
If x and y are integers and x divided by y is 19.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3 | [
"I,III only",
"II only",
"I only",
"III only"
] | A | I,III only | x=19.15y from which x = 19y + 15y/100 or x = 19y + 3y/20.
Since x and y are integers, 3y/20 must also be an integer. 3 is not divisible by 20, then y must be divisible by 20, and therefore, y/20 is an integer and 3y/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3.
Answer A | aqua_rat |
Which of the following must be an integer if the integer x is divisible by both 28 and 21? | [
"x/252",
"x/84",
"x/126",
"x/108"
] | B | x/84 | the integer has to be multiple of LCM of 28 and 21, which is 84..
so x/84 will be an integer
ans B | aqua_rat |
What does a planet receive more of when it is tilted? | [
"light",
"sun",
"Energy.",
"rain"
] | A | light | a hemisphere receives less sunlight when it points away | qasc |
Find the average of all the numbers between 6 and 34 which are divisible by 5 | [
"18",
"20",
"24",
"30"
] | B | 20 | Exp. Multiples of 5 between 6 and 34 are 10,15,20,25,30
Average = (10+15+20+25+30)/5 =5(10+30)/2*5 = 40/2 =20
Answer:B | aqua_rat |
How many different letter arrangements can be made from the letters of the word RECOVER? | [
"1210",
"5040",
"1260",
"1200"
] | C | 1260 | Possible arrangements are :
7!/2!×2!=1260 [division by 2 times 2! is because of the repetition of E and R]
Answer C | aqua_rat |
Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food? | [
"20",
"21",
"22",
"23"
] | D | 23 | The part of her salary that is spent on food is $280 out of her monthly salary of $1200
percent = part / whole = 280 / 1200 = 0.23 (rounded to 2 decimal places)
Multiply and divide 0.23 by 100 to convert in percent
percent = 0.23 * 100 / 100 = 23 / 100 = 23%
Option D is correct. | aqua_rat |
In an examination 60% failed in Math and 40% failed in French. If 15% failed in both. What % of students passed in both. | [
"25%",
"15%",
"20%",
"30%"
] | B | 15% | Passed in Math = 100 - 60 = 40%
Passed in French = 100 - 40 = 60%
Students who passed Math or French = 100 -15 = 85%
Students passed in Math and French = (Passed in Math) + (Passed in French) - (Students who passed Math or French) = 60+40-85 =15%
ANSWER:B | aqua_rat |
A can do a piece of work 60 days. B can do work in 90 days. In how many days they will complete the work together? | [
"36 days",
"32 days",
"19 days",
"17 days"
] | A | 36 days | LCM = 180, Ratio= 60:90=2:3
No of days= 180/(2 + 3) = 180/5 = 36 days
ANSWER:A | aqua_rat |
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is? | [
"28",
"50",
"99",
"121"
] | B | 50 | 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 - 5) km/hr.
x - 5 = 45 => x = 50 km/hr.
Answer: B | aqua_rat |
Lines y=√2·x+2 and y=3√2·x−1 intersect at what height above the x axis? | [
"(13√2)/2",
"13/2",
"13",
"2"
] | B | 13/2 | Solve two equations for y
y=√2·x+2
y=3√2·x−1
Set the two equations equal to each other and solve for x
√2·x+2 = 3√2·x−1
3 = 2√2·x
3/(2√2) = x
Plug x = 3/(2√2) into any one of the original equations to find the y value (height above x axis) where the two lines intersect
y=√2·x+2
y=√2·(3/(2√2))+2
y = 3/2 + 5
y = 3/2 + 10/2
y = 13/2
Final answer:
B) 13/2 | aqua_rat |
Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 40 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work? | [
"20",
"34",
"38",
"40"
] | C | 38 | Nice question +1
We have that X/24 - (60-X)/2R = 40
Also X/R - (60-X)/2R = 120
So we get that 2x - 60 = 80R
3x - 60 = 240R
Get rid of R
120 = 3x
x = 38
Hence answer is C | aqua_rat |
A person covered one-fourth of the total distance at 6 kmph and remaining distance at 24 kmph. What is the average speed for the total distance? | [
"10(5/7)kmph",
"21(2/3) kmph",
"13 (5/7)kmph",
"15 (5/7)kmph"
] | C | 13 (5/7)kmph | Let the total distance be x km
total time taken = (x/4)/6 + (3x/4)/24 = x/24 + x/32 = 7x/96
Average speed = x/(7x/96) = 96/7kmph = 13 (5/7)kmph.
ANSWER:C | aqua_rat |
One component of rock formations in caves is | [
"liberal tears",
"bat urine",
"salty ocean water",
"granite statues"
] | B | bat urine | science | |
How many revolutions does the moon make around the Earth during spring? | [
"one",
"six",
"three",
"twelve"
] | C | three | science | |
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? | [
"200 Sec",
"190 Sec",
"167 Sec",
"197 Sec"
] | B | 190 Sec | L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer: B | aqua_rat |
In a 100-mile trip, the first 30 miles were completed at 60 mph. If the average speed for the whole trip was 40 mph, what was the average speed in the last 70 miles? | [
"30 mph",
"32 mph",
"35 mph",
"37 mph"
] | C | 35 mph | The time to complete the first 30 miles was (30 miles / 60 mph) = (1/2) hours.
The time to complete the whole trip was (100 miles / 40 mph) = (5/2) hours.
The time to complete the last 70 miles was (5/2) - (1/2) = (2) hours.
The average speed in the last 70 miles was (70 miles / 2 hours) = 35 mph.
The answer is C. | aqua_rat |
Find the fourth proportional to 2.4, 4.6 and 7.6? | [
"14",
"14.56",
"15.14",
"15.17"
] | B | 14.56 | Formula = Fourth proportional = (b × c)/a
A = 2.4 , B = 4.6 and C = 7.6
(4.6 × 7.6)/2.4 = 14.56
B | aqua_rat |
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