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 |
|---|---|---|---|---|---|
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly? | [
"1261",
"1632",
"9177",
"1682"
] | A | 1261 | A = 8000(21/20)3
= 9261
= 8000
---------
1261
Answer:A | aqua_rat |
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 140? | [
"3",
"6",
"28",
"42"
] | C | 28 | n includes the factors 2^2 (but not 2^3) and 3 (but not 3^2 or 5)
140 = 4*5*7
The GCF could be 4 or 28
The answer is C. | aqua_rat |
For integers x and y, if (x+2)(y+3) is even then 4xy must be divisible by: | [
"4",
"8",
"9",
"10"
] | A | 4 | Just looking at the question, (x+2)(y+3) could be even*even, odd*even, or even*odd in order for the whole expression to be even.
However, just looking at 4xy, since x*y will always be an integer, it will always be divisible by 4. 4 divided by 4 is 1, hence preserving x*y.
Answer: A. 4 | aqua_rat |
Hazardous waste is material that is toxic, chemically active, corrosive, or what? | [
"organic",
"decomposed",
"inactive",
"flammable"
] | D | flammable | Hazardous waste is material that is toxic, chemically active, corrosive, or flammable. | science |
Tom invested Rs. 15000 @ 8% per annum for two years. If the interest is compounded half-yearly, then the amount received by Tom at the end of the year will be? | [
"17,546.75",
"17,547.40",
"17,547.88",
"17,548.32"
] | C | 17,547.88 | P = Rs. 15000; R = 8% p.a. = 4% per half-year; T = 2 years = 4 half-year
Amount = [15000 * (1 + 4/100)4]
= (15000 * (1.04)4) = Rs. 17547.88
Answer: C | aqua_rat |
In the xy-plane, the line y = k is the perpendicular bisector of the line segment PQ and the line x = b is the perpendicular bisector of the line segment RQ. If the coordinates of the point R are (-b, -k), then what are the coordinates of the point P? | [
"(-5b, -5k)",
"(-3b, -3k)",
"(2b, 2k)",
"(3b, 3k)"
] | D | (3b, 3k) | firstly the Question tells us that RQ and PQ are perpendicular at Q..
Now the coordinates of the point R are (-b, -k), so R is at a distance of 2b from line x and at dist of 2k from line Y..
as line X bisect RQ .... length of RQ =4b and coord (3b,-k)..
as line Y bisect PQ .... length of PQ =4k and coord (3b,3k).ans D | aqua_rat |
what is the distance between two parallel chords of length 32 cm and 24 cm in a circle of radius 20 cm ? | [
"1 or 7",
"3 or 21",
"4 or 28",
"2 or 14"
] | C | 4 or 28 | since the chord length=2sqrrt(r^2-d^2)
chord length=32,r=20 then we get d=12
chord length=24,r=20 then we get d=16
then we add/subtract we get 4 or 28
ANSWER:C | aqua_rat |
What is the smallest integer k for which 64^k > 4^16? | [
"4",
"5",
"6",
"7"
] | C | 6 | 64^k > 4^16
4^(3k) > 4^16
3k > 16
k = 6
The answer is C. | aqua_rat |
What is the leastvalue of x. So that 23x57 is divisible by 3? | [
"3",
"4",
"1",
"5"
] | C | 1 | The sum of the digits of the number is divisible by 3, then the number is divisible by3.
2 + 3 + x + 5 + 7 = 17 + x
Least value of x may be 1
Therefore 17 + 1 = 18 is divisible by 3.
C | aqua_rat |
-64x29+165=? | [
"2436",
"2801",
"-2801",
"-1601"
] | D | -1601 | Given exp.=-64x(30-1)+165
=-(64x30)+64+165
=-1830+229
=-1601
Answer is D | aqua_rat |
Natasha climbs up a hill, and descends along the same way she went up. It takes her 4 hours to reach the top and 2 hours to come back down. If her average speed along the whole journey is 4 kilometers per hour, what was her average speed (in kilometers per hour) while climbing to the top? | [
"2",
"2.5",
"3",
"3.25"
] | C | 3 | Let the distance to the top be x, so the total distance traveled by Natasha is 2x.
The total time is 4 + 2 = 6 hours
The average speed = total distance/total time taken = 2x/6 = x/3
The average speed of the complete journey is 4 km/hour
x/3 = 4
x = 12 km
The average speed while climbing = distance/time = 12/4 = 3 km/h
The answer is C. | aqua_rat |
What object would be most attracted to a magnet? | [
"A feather",
"A brush",
"A pillow",
"A zipper"
] | D | A zipper | science | |
What are connected to structural and functional units of the nervous system? | [
"eardrum",
"axons",
"bacteria",
"cilia"
] | B | axons | axons are connected to structural and functional units of the nervous system | qasc |
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.36, the number of 25 paisa coins is? | [
"30",
"36",
"32",
"34"
] | B | 36 | 5x 6x 2x
50 25 100
250x + 150x + 200x = 3600
600x = 3600
x = 6 => 6x = 36
ANSWER:B | aqua_rat |
There 3 kinds of books in the library physics, chemistry and biology. Ratio of physics to chemistry is 3 to 2; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. Which one of following can be the total Q of the book? | [
"3003",
"3027",
"3024",
"3021"
] | A | 3003 | First, you have to find the common ratio for all 3 books. You have:
P:C:B
3:2 --> multiply by 2 (gives you row 3)
4:6
6:4:3
Hence:
P:C:B:T(Total)=Q
6:4:3:13 ----> This means, the Total Number must be a multiple of 13.
Answer A is correct since 299 is divisible by 13, hence is 2990 and so is 3003 (2990+13). | aqua_rat |
Of 100 apples in a tree, 30 percent are green. How many red apples must be picked in order to bring the number of green apples up to 50 percent of the apples in the tree? | [
"40",
"50",
"30",
"70"
] | A | 40 | Now, there are 30 green apples (30% of 100) and 100-30=70 red apples in the tree. We need there to be 30 green apples and 30 red apples, in this case there will be 50% green apples and 50% red apples.
Therefore 70-30=40 red apples must be picked.
Answer: A. | aqua_rat |
The sun is good for | [
"Brownies",
"Envrionments",
"Buildings",
"Cars"
] | B | Envrionments | science | |
If two pipes function simultaneously the reservoir will be filled in 12 hours, one pipe fills the reservoir 10 hours faster than the other. How many hours it takes the second pipe to fill the reservoir? | [
"15 hours",
"18 hours",
"30 hours",
"20 hours"
] | C | 30 hours | C
30 hours | aqua_rat |
The average age of 12 men in a group is increased by 2 years when two men whose ages are 20 years and 22 years, are replaced by new members. What is the average age of the new men included? | [
"22",
"767",
"77",
"33"
] | D | 33 | Explanation:
Total age of two men replaced = 20 + 22 = 42 years
Total increase in age on replacement = 2 × 12 = 24 years
Total age two new persons included = 42 + 24 = 66 years
Therefore, Average age of new persons = 66/2 = 33 years
Answer:D | aqua_rat |
The radial artery and which artery parallel their namesake bones, giving off smaller branches until they reach the wrist, or carpal region? | [
"biceps",
"ulnar",
"humerus",
"triceps"
] | B | ulnar | Arteries Serving the Upper Limbs As the subclavian artery exits the thorax into the axillary region, it is renamed the axillary artery. Although it does branch and supply blood to the region near the head of the humerus (via the humeral circumflex arteries), the majority of the vessel continues into the upper arm, or brachium, and becomes the brachial artery (Figure 20.31). The brachial artery supplies blood to much of the brachial region and divides at the elbow into several smaller branches, including the deep brachial arteries, which provide blood to the posterior surface of the arm, and the ulnar collateral arteries, which supply blood to the region of the elbow. As the brachial artery approaches the coronoid fossa, it bifurcates into the radial and ulnar arteries, which continue into the forearm, or antebrachium. The radial artery and ulnar artery parallel their namesake bones, giving off smaller branches until they reach the wrist, or carpal region. At this level, they fuse to form the superficial and deep palmar arches that supply blood to the hand, as well as the digital arteries that supply blood to the digits. Figure 20.32 shows the distribution of systemic arteries from the heart into the upper limb. Table 20.9 summarizes the arteries serving the upper limbs. | science |
In the parking lot there are 44 vehicles, 24 of them are buses, and the rest are cars. The color of 24 vehicles is red, of which 18 are buses. How many cars can be found in the parking lot which are not colored red? | [
"11",
"12",
"13",
"14"
] | D | 14 | The number of cars is 44-24 = 20.
The number of red cars is 24-18=6.
The number of cars which are not red is 20-6=14.
The answer is D. | aqua_rat |
If |4x+10| = 46, what is the sum of all the possible values of x? | [
"2",
"-2",
"4",
"-5"
] | D | -5 | There will be two cases
4x+10= 46 or 4x+10 = -46
=> x =9 or x= -14
sum of both the values will be -14 +9 = -5
Answer is D | aqua_rat |
40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together? | [
"390",
"405",
"408",
"415"
] | C | 408 | Solution:
Let X be the number of employees.
We are given that 40% of the employees are workers. Now, 40% of X is (40/100)*X =0.4X.
Hence, the number of workers is 2X/5.
All the remaining employees are executives, so the number of executives equals,
(The number of Employees)–(The number of Workers),
= X–(2X/5)
=(3X/5)
The annual income of each worker is Rs. 390.
Hence, the total annual income of all the workers together is,
= (2X/5)*390 =156X.
Also, the annual income of each executive is Rs. 420. Hence, the total income of all the executives together is,
(3X/5)×420 =252X
Hence, the total income of the employees is,
= 156X +252X =408X.
The average income of all the employees together equals,
Answer: Option C | aqua_rat |
A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself? | [
"22",
"18",
"12",
"88"
] | C | 12 | 100 ---- 200 ---- 4
400 ---- 4
800 ---- 4
------
12 years
Answer: C | aqua_rat |
A boat can move upstream at 32 kmph and downstream at 30 kmph, then the speed of the current is? | [
"5",
"9",
"1",
"9"
] | C | 1 | US = 32
DS = 30
M = (32 - 30)/2 = 1
Answer: C | aqua_rat |
Which of the following is closer to (20!+19!)/(20!-19!)? | [
"11",
"13",
"1",
"3"
] | C | 1 | Notice that 20! = (20)(19!),
(20!+19!)*(20!-19!)=[19!(20+1)]*[19!(20-1)]
= 21/19
≈ 1
Answer: C | aqua_rat |
How many bricks each measuring 21cm x 10cm x 8cm, will be needed to build a wall 9m x 5m x 18.5m | [
"4955",
"4899",
"4650",
"7200"
] | A | 4955 | Explanation:
no. of bricks= volume of the wall/volume of 1 brick = (900 x 500 x 18.5) / (21 x 10 x 8) = 4955
Answer: A | aqua_rat |
Which system of the body is responsible for bringing air into the body? | [
"digestive system",
"excretory system",
"vascular system",
"respiratory system"
] | D | respiratory system | We breathe because we need oxygen. Breathing also releases carbon dioxide from our bodies into the air. The respiratory system is the body system that brings air containing oxygen into the body and releases carbon dioxide into the atmosphere. Recall that oxygen is needed to make ATP. | science |
Five people are on an elevator that stops at exactly 5 floors. What is the probability that exactly one person will push the button for each floor? | [
"5!/5^5",
"5^5/5!",
"5/5!",
"5/5^5"
] | A | 5!/5^5 | Each person out of 5 has 5 options, hence total # of outcomes is 5^5;
Favorable outcomes will be 5!, which is # of ways to assign 5 different buttons to 5 people
So basically # of arrangements of 5 distinct objects: 5!.
P=favorable/total=5!/5^5
Answer: A. | aqua_rat |
If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y? | [
"550",
"551",
"560",
"561"
] | D | 561 | This is a perfect example of why you should not use formulas without understanding them properly. If you understand them, you will not make a mistake and will save time.
The formula quoted by the original poster: n(n+1) is absolutely fine. But one needs to understand that n is the number of even terms starting from the first even term. (I discuss why this is so here:
Sum of even numbers from 40 to 60 using this formula will be:
30*31 - 19*20 = 10(3*31 - 19*2) = 550
Since number of terms is 11, required sum is 561
But, I would not use this formula for this question and would do it the way many of you have done:
Average = 50 (it is the middle number), Number of terms = 11 (No formula again. Any 10 consecutive integers have 5 even and 5 odd numbers. 41 to 60 will have 10 even integers and 40 is the 11th one)
Sum = 50*11 + 11 = 561
answer is D | aqua_rat |
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 700 more than that by the previous schema, his sales were worth? | [
"s. 8,000",
"s. 9,000",
"s. 20,000",
"s.10,000"
] | A | s. 8,000 | [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 700
X = 8000
ANSWER A | aqua_rat |
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B. | [
"2:1",
"1:2",
"1:1",
"4:3"
] | D | 4:3 | Explanation:
5% of A + 4% of B
=2/3(6% of A + 8% of B)
A/B=4/3
A : B = 4 : 3
ANSWER IS D | aqua_rat |
The banker's discount on a sum of money for 1 1/2 years is Rs. 558 and the true discount on the same sum for 2 years is Rs. 600. The rate percent is: | [
"10%",
"13%",
"12%",
"15%"
] | C | 12% | B.D. for 3/2 years = Rs. 558.
B.D. for 2 years
= Rs.(558 x 2/3 x 2)
= Rs. 744
T.D. for 2 years = Rs. 600.
Therefore, Sum = B.D. x T.D./B.D. - T.D
= Rs. (744 x 600/144 )= Rs. 3100.
Thus, Rs. 744 is S.I. on Rs. 3100 for 2 years.
Therefore, Rate =(100 x 744/3100 x 2)%
= 12%
Answer is C | aqua_rat |
If x, y, and a are positive numbers such that 10*x/(x+y)+ 20*y/(x+y)=a and if x is less than y, which of the following could be the value of a? | [
"10",
"12",
"15",
"18"
] | D | 18 | Answer choice C: a= 15
(10x + 20y)/(x+y) = 15
10x + 20y = 15x + 15y
5y = 5x
y = x
Doesn't work because the problem states that x<y.
We need y to be larger, so let's try answer choice D: a=18
10x + 20y = 18x + 18y
2y = 8x
y/x = 8/2
Success! x<y.
The correct answer is D. | aqua_rat |
A can do a piece of work in 15 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? | [
"11 6/7days",
"12 6/7days",
"13 6/7days",
"14 6/7days"
] | B | 12 6/7days | 8/15 + 6/x = 1
X = 12 6/7days
ANSWER:B | aqua_rat |
Each side of a rectangle is increased by 100% .By what percentage does the area increase? | [
"300%",
"400%",
"500%",
"200%"
] | A | 300% | original area=a*b where a and b are sides
after increase in side increase in area will be=(((2a*2b)-(a*b))*100)/(a*b)=300%
ANSWER:A | aqua_rat |
If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number D of integers that can be negative? | [
"2",
"3",
"4",
"5"
] | D | 5 | Minimuum should be 1
Maximum should be 4:
1 out of a or b to make the multiplication negative
3 out of c, d, e or f to make the multiplication negative.
Negative+Negative<0
Answer:C
maximum will be 5..
you dont require both the multiplicatin to be negative for entire equation to be negative...
any one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...
actually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see D=5 or 1 will give you same equation..
ans D | aqua_rat |
One fourth of one third of two fifth of a number is 20. What will be40% of that number | [
"240",
"150",
"180",
"200"
] | A | 240 | Explanation:
(1/4) * (1/3) * (2/5) * x = 20 then x = 20 * 30 = 600
40% of 600 = 240
Answer: Option A | aqua_rat |
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? | [
"1: 96",
"1: 99",
"1: 94",
"1: 92"
] | A | 1: 96 | Let the length and the breadth of the rectangle be 4x cm and 3x respectively.
(4x)(3x) = 6912
12x2 = 6912
x2 = 576 = 4 * 144 = 22 * 122 (x > 0)
=> x = 2 * 12 = 24
Ratio of the breadth and the areas = 3x : 12x2 = 1 : 4x = 1: 96.
Answer: A | aqua_rat |
Chirag was conducting an experiment in which the average of 11 observation came to be 90. Average of first five observation was 87, and that of the last five was 84. What was the measure of the 6th observation? | [
"165",
"125",
"145",
"135"
] | D | 135 | Explanation :
11 * 90 - 5 * 87 - 5 * 84 = 900 - 435 - 420 = 135.
Answer : D | aqua_rat |
7 speakers gathered to deliver speeches on two topics. Even though 7 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible? | [
"2",
"49",
"50",
"47"
] | B | 49 | 1)there are 7 speeches in ONE topic and 7 in OTHER..
2)there is a specific order for topics, so
a) both the topics are to be spoken on- so ONE from each
b) the order does not matter since there is ONLY one specific order..
so 7C1∗7C1=7∗7=49
ANSWER:B | aqua_rat |
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 742. | [
"120 ,122 , 124 ,126",
"120 ,122 , 124 ,128",
"120 ,121 , 122 ,123",
"123 ,125 , 127 ,129"
] | A | 120 ,122 , 124 ,126 | Let x, x + 2, x + 4 and x + 6 be the four integers. The sum of the first two
x + (x + 2)
twice the sum of the last two is written as
2 ((x + 4) + (x + 6)) = 4 x + 20
sum of the first two added to twice the sum of the last two is equal to 742 is written as
x + (x + 2) + 4 x + 20 = 742
Solve for x and find all four numbers
x = 120 , x + 2 = 122 , x + 4 = 124 , x + 6 = 126
Answer A | aqua_rat |
An bus covers a certain distance at a speed of 240 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of? | [
"677 km/hr",
"720 km/hr",
"790 km/hr",
"800 km/hr"
] | B | 720 km/hr | Distance = (240 x 5) = 1200 km.
Speed = Distance/Time
Speed = 1200/(5/3) km/hr. [We can write 1 hours as 5/3 hours]
Required speed = 1200 x 3 km/hr = 720 km/hr.
B | aqua_rat |
in the presence heat, which of these comes about? | [
"a piece of gum",
"a slurpy at the cafeteria",
"an ice cream cone",
"a large metamorphic rock"
] | D | a large metamorphic rock | science | |
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? | [
"12",
"20",
"88",
"77"
] | B | 20 | 1: 2/5 = 5: 2
2/7 * 70 = 20
Answer: B | aqua_rat |
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 6/15 Find P(A|B) | [
"1/2",
"2/3",
"3/2",
"4/5"
] | C | 3/2 | P(A|B) = P(A ∪ B)/P(B)
P(A|B) = (6/15)/(4/15) = 3/2.
C | aqua_rat |
Bobby had a new toy. It had lots of buttons on it. One of the buttons had a picture of a cow on it and every time Bobby pushed that button the toy would make a mooing noise. That's because | [
"a circuit was opened up when he pressed the button",
"His new toy was possessed",
"a cow was inside of the toy",
"a circuit was made intact when the button was pressed"
] | D | a circuit was made intact when the button was pressed | science | |
What is it called when pollen from one plant fertilizes another plant of the same species? | [
"cross - vegetation",
"cross-typing",
"cross-pollination",
"cross-breeding"
] | C | cross-pollination | Pea plants are naturally self-pollinating. In self-pollination , pollen grains from anthers on one plant are transferred to stigmas of flowers on the same plant. Mendel was interested in the offspring of two different parent plants, so he had to prevent self-pollination. He removed the anthers from the flowers of some of the plants in his experiments. Then he pollinated them by hand with pollen from other parent plants of his choice. When pollen from one plant fertilizes another plant of the same species, it is called cross-pollination . The offspring that result from such a cross are called hybrids. | science |
If a person wants to help the environment, that person should | [
"leave the faucet open.",
"watch a lot of TV",
"reuse pieces of paper",
"buy a new car"
] | C | reuse pieces of paper | science | |
up to 20,how many no. are odd and prime both? | [
"9",
"5",
"6",
"7"
] | D | 7 | we have to calculate it manually.
odd 1,3,5,7,9,11,13,15,17,19
prime 2,3,5,7,11,13,17,19
common 3,5,7,11,13,17,19
total no. 7
answer D | aqua_rat |
Three pieces of timber 30 m, 35 m and 45 m long have to be divided into planks of the same length, What is the greatest possible length of each plank ? | [
"7 m",
"4 m",
"5 m",
"6 m"
] | C | 5 m | Answer
Greatest possible length of each plank = H.C.F of 30, 35, 45 = 5 m
Correct Option: C | aqua_rat |
Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm. | [
"45",
"47",
"49",
"42"
] | A | 45 | Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.
495 = 3^2 x 5 x 11, 900 = 2^2 x 3^2 x 5^2, 1665 = 3^2 x 5 x 37.
Therefore, H.C.F. = 32 x 5 = 45.
Hence, required length = 45 cm.
Answer is A. | aqua_rat |
A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is? | [
"71.61 km/hr",
"71.11 km/hr",
"71.18 km/hr",
"77.11 km/hr"
] | B | 71.11 km/hr | Total time taken = (160/64 + 160/8) = 9/2 hrs.
Average speed = 320 * 2/9
=71.11 km/hr.
Answer:B | aqua_rat |
One-third less than 15% of 180 is equal to: | [
"18",
"30",
"35",
"40"
] | A | 18 | Lots of ways to tackle this.
15% of 180 =27
1/3 of 27= 9
So, 1/3less than 27 is equal to 27- 9 = 18
Answer: A | aqua_rat |
Last year, the price per transaction of certain company increases P percent from the year before, and the number of transactions increase N percent from the year before. Total revenue is simply the number of transactions times the price per transaction. Assume this one transaction is this company's only source of revenue. Which of the following is the percent increase in revenue last year, from the year before? | [
"P∗N %",
"(P+N)",
"(P+N+P∗N/100) %",
"(P+N-P∗N/100) %"
] | D | (P+N-P∗N/100) % | Assume
x = price per transaction for previous year
y = price per transaction for this year
Relationship between x and y
y =x (1+P/100)
Similarly, if
n1= no. of transactions for last year
n2 = no. of transactions for this year
n2 = n1(1+N/100)
Now, the question is [(n2y- n1x) /n1x] * 100
n2y = n1x(1+P/100)(1+N/100)
So, [(n2y - n1x)/n1x] * 100 = (n1x[(1+P/100) (1+N/100) - 1]/ n1x) * 100
D is the answer. | aqua_rat |
Find the sum 3/10 + 5/100 + 8/1000 in decimal form ? | [
"0.853",
"0.358",
"3.58",
"8.35"
] | B | 0.358 | Answer
3/10 + 5/100 + 8/1000
= 0.3 + 0.05 + 0.008
= 0.358
Correct Option: B | aqua_rat |
A river 2m deep and 45 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is? | [
"6000 M3",
"4580 M3",
"18500 M3",
"4900 M3"
] | A | 6000 M3 | Explanation:
(4000 * 2 * 45)/60 = 6000 M3
Answer: Option A | aqua_rat |
Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ? | [
"7",
"6",
"5",
"4"
] | A | 7 | (Rajiv +venky+ravi) 2 days work= 2(1/10+1/12+1/15)=1/2
ravi works alone for last 3 days = 3*1/15=1/5
total work 1/2+1/5=7/10
remaining work=1-7/10=3/10
(venky+ravi) 1 days work=1/12+1/15=9/60=3/20
3/10 work will be done by venky and ravi in 3/10*20/3=2 days
total days is the work completed= 2+3+2=7 days
ANSWER:A | aqua_rat |
From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary? | [
"6000",
"3788",
"9009",
"6788"
] | A | 6000 | Suppose his total salary be Rs.x, then
90% of 85% of 90% of x = 4131
\inline \Rightarrow \frac{90}{100}\times \frac{85}{100}\times \frac{90}{100}\times x=4131
\inline \therefore x=\frac{4131\times 100\times 100\times 100}{90\times 85\times 90}=6000
Hence , the salary of the officer is Rs.6000
Answer:A | aqua_rat |
Double-replacement reactions generally occur between substances in what kind of solution? | [
"saline",
"reactive",
"aqueous",
"solid"
] | C | aqueous | In this reaction, and are positively-charged cations, while and are negatively-charged anions. Double-replacement reactions generally occur between substances in aqueous solution. In order for a reaction to occur, one of the products is usually a solid precipitate, a gas, or a molecular compound such as water. | science |
The weights of three bags are in the ratio 4 : 5 : 6. If the sum of the weights of the heaviest and the lightest bag is 45 kg more than the weight of the third bag, what is the weight of the lightest bag? | [
"45kg",
"38kg",
"66kg",
"36kg"
] | D | 36kg | Let the weights of the three boys be 4k, 5k and 6k respectively.
4k + 6k = 5k + 45
=> 5k = 45 => k = 9
Therefore the weight of the lightest boy
= 4k = 4(9) = 36 kg.
ANSWER:D | aqua_rat |
The number of meters in WB is equal to the square root of the number of centimeters in WB. What is the length of WB (1 meter=100 centimeters)? | [
"100 meters",
"10 meters",
"100 centimeters",
"10 centimeter"
] | A | 100 meters | I'd plug in the options for this question.
Check option A: if the number of meters in WB is 100, then the number of centimeters is 100*100. The square root of 100*100 is 100: 100 = 100.
Answer: A. | aqua_rat |
If x+y=2z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z? | [
"2z+1",
"3z",
"5z",
"z"
] | D | z | Pick any number like X=12, Y=10 and Z= 11 so that X+Y=2Z, now then the arithmetic mean will be (12+10+11)/3=11. Now, just look at the answers and put the value of Z there.
(A) 2.11+1=23, no.
(B) 3.11=33,no
(C) 5.11=55, no
(D) 11, it can be the answer, lets check us the other options
(E) (3.2)/2=3, no
so the answer will be D.. | aqua_rat |
Average of first five multiples of 8 is | [
"9",
"11",
"24",
"15"
] | C | 24 | Explanation:
Average=8(1+2+3+4+5)/5=24
Answer: Option C | aqua_rat |
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 600. What is the manager's monthly salary ? | [
"Rs.16003",
"Rs.16029",
"Rs.11288",
"Rs.14100"
] | D | Rs.14100 | Explanation:
Manager's monthly salary Rs. (2100 * 21 - 1500 * 20) = Rs.14100.
Answer: D | aqua_rat |
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? | [
"267 m",
"256 m",
"245 m",
"627 m"
] | C | 245 m | Speed
= (45 * 5/18) m/sec = (25/2) m/sec. Time
= 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X)
= 750 ==> X
= 245 m.
Answer: C | aqua_rat |
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 3 days. How many more days are required to complete the remaining work if they work together? | [
"3 (5/18)",
"3 (5/16)",
"2 (5/11)",
"3 (5/13)"
] | C | 2 (5/11) | A can do 1/10 of the work in a day.
B can do 1/12 of the work in a 1 day.
Both of them together can do (1/10 + 1/12) part of work in 1 day = (6 + 5)/60 = 11/60
They take 60/11 days to complete the work together.
Given that they already worked for 3 days.
The number of days required to complete remaining work => 60/11 - 3 = 27/11 = 2 (5/11) days.
Answer:C | aqua_rat |
In a straight highway 2 cars starts from the same point in opposite directions each travels for 8 Kms and take left turn then travel for 6 Kms what is the distance between them now. | [
"16",
"20",
"25",
"10"
] | B | 20 | use pythagoras theorem
c^2=a^2+b^2
=8^2+6^2 =64+36
c^2=100
c=10
the distance between A and B is (10+10)=20
ANSWER:B | aqua_rat |
The energy a chemical reaction needs to get started is called what kind of energy? | [
"fusion",
"conduction",
"activation",
"function"
] | C | activation | All chemical reactions, even exothermic reactions, need a certain amount of energy to get started. This energy is called activation energy . For example, activation energy is needed to start a car. Turning the key causes a spark that activates the burning of gasoline in the engine. The combustion of gas won’t occur without the spark of energy to begin the reaction. | science |
Excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 42 kmph. For how many minutes does the bus stop per hour? | [
"10 min",
"7 min",
"8.2 min",
"9.6 min"
] | D | 9.6 min | D
9.6 min
Due to stoppages, it covers 8 km less.
Time taken to cover 9 km = (8/50 x 60) min = 9.6 min | aqua_rat |
An exertion on a thing that is going against the thing's intended direction, when in motion will | [
"melt it",
"oppose it",
"speed it up",
"burn it"
] | B | oppose it | science | |
Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP? | [
"Rs.320",
"Rs.450",
"Rs.550",
"Rs.640"
] | C | Rs.550 | Find Selling Price to gain 10 %.
Now, we are asked to find selling price to gain 10% profit.
Hint:
Selling Price = (100 + Gain%) × C.P.
100
Selling Price = (100 + 10) × 500
100
Selling Price = (110) × 500
100
Therefore, selling Price = Rs.550
C | aqua_rat |
What helps us see rainbows in the sky? | [
"prism",
"visible light",
"spectral light",
"myopia"
] | B | visible light | We can see rainbows because they are formed by visible light. Visible light includes all the wavelengths of light that the human eye can detect. It allows us to see objects in the world around us. Without visible light, we would only be able to sense most objects by sound or touch, and we would never see rainbows. Like humans, most other organisms also depend on visible light, either directly or indirectly. Many animals use it to see. All plants use it to make food in the process of photosynthesis. Without the food made by plants, most other organisms could not survive. | science |
Population is 23000. Population increases by 10% every year, then the population after 3 years is? | [
"26630",
"26640",
"36623",
"30613"
] | D | 30613 | population after 1st year = 23000*10/100 = 2300 ===> 23000+2000 = 25300
population after 2nd year = 25300*10/100 = 2530 ===> 25300+2530= 27830
population after 3rd year = 27830*10/100 = 2783 ===> 27830+2783 = 30613
ANSWER:D | aqua_rat |
The maitre 'd at an expensive Manhattan restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability R that the next couple the maitre 'd seats will not order dessert? | [
"20%",
"25%",
"40%",
"60%"
] | B | 25% | could you use a venn diagram and just go with the number 100.
60 people order dessert and coffee... which is the union of D and C.
R=2/10 of D aren't in D U C = so 8/10 of D are in DUC which means =60 =8/10D. So D in total=75, and 15 D's aren't in D union C. which means 25 people are in C only + Neither.
B 25% | aqua_rat |
Find the missing number: ? - 1936248 = 1635773 | [
"3572021",
"3572012",
"3770221",
"3570221"
] | B | 3572012 | Let x - 1936248=1635773.
Then, x = 1635773 + 1936248
=3572021.
Answer is B. | aqua_rat |
If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $81, how much does one shirt cost? | [
"$10",
"$12",
"$13.20",
"$21"
] | D | $21 | 3J + 2S = 69
2J + 3S = 81
----------------
5J + 5S = 150 ----(divide by 5)---> J + S = 30
3J + 2S = J + 2(J + S) = J + 60 = 69 ---> J = 9
3*9 + 2S = 69
27 + 2S = 69
2S = 42
S = 21
Answer: D | aqua_rat |
If a(a + 2) = 48 and b(b + 2) = 48, where a ≠ b, then a + b = | [
"-10",
"-9",
"-5",
"-4"
] | B | -9 | i.e. if a = 6 then b = -8
or if a = -8 then b = 6
But in each case a+b = -8+6 = -2
Answer:B | aqua_rat |
Weights of two friends Ram and Shyam are in the ratio 3:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased? | [
"18%",
"10%",
"21%",
"16%"
] | A | 18% | Solution:
given ratio of Ram and Shayam's weight = 3:5
Hence, (x-15)/(15-10) = 3/5
Or, x = 18%.
Answer: Option A | aqua_rat |
If a - b = 3 and a2 + b2 = 29, find the value of ab? | [
"10",
"12",
"14",
"17"
] | A | 10 | 2ab = (a2 + b2) - (a - b)2
= 29 - 9 = 20
ab = 10
A) | aqua_rat |
Something that died millions of years ago can still be relevant | [
"because we drive cars",
"because they are in our memories",
"because we still see them",
"because we miss them"
] | A | because we drive cars | science | |
As part of a game, five people each must secretly choose an integer between 1 and 5, inclusive. What is the approximate likelihood that all five people will choose different numbers? | [
"4%",
"12%",
"16%",
"20%"
] | A | 4% | Ans:a)
1st person has option no's- (1,2,3,4,5) - there fore probability of getting a no = 5c1/5c1 = 1
2nd person has option no's any four ,
he has to choose a no from four no's - there fore probability of getting a no = 4c1/5c1 = 4/5
3rd person has option no's any three ,
he has to choose a no from three no's -there fore probability of getting a no = 3c1/5c1 = 3/5
4th person has option no's any two - there fore probability of getting a no = 2c1/5c1 = 2/5
4th person has option no's only one - there fore probability of getting a no = 1c1/5c1 = 1/5
=1*4/5*3/5*2/5*1/5 = 4% | aqua_rat |
find value for x from below equation? x + 1 = 5 | [
"-5",
"-4",
"4",
"3"
] | C | 4 | 1. Subtract 1 from both sides:
x + 1 - 1 = 5 - 1
2. Simplify both sides:
x = 4
C | aqua_rat |
Several neuropeptides, relatively short chains of amino acids, serve as neurotransmitters that operate via metabotropic what? | [
"lipids",
"membranes",
"receptors",
"organelles"
] | C | receptors | science | |
At what rate percent on simple interest will a sum of money double itself in 30 years? | [
"3 1/3%",
"3 1/8%",
"3 7/3%",
"3 1/7%"
] | A | 3 1/3% | P = (P*30*R)/100
R = 3 1/3%
Answer: A | aqua_rat |
How many two-digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4?
Options: | [
"ONE",
"TWO",
"THREE",
"FOUR"
] | D | FOUR | Numbers giving remainder 3 when divided by 10 = 13,23, 33,43, 53,63, 73,83, 93
Numbers giving remainder 3 when divided by 4 = Alternate numbers (coloured in red) = 4
Correct Option: D | aqua_rat |
If 222 = 6
333 = 12
444 = 20
Then, 555 = ?? | [
"30",
"35",
"40",
"45"
] | A | 30 | 222=2*2+2=6
333=3*3+3=12
444=4*4+4=20
555=5*5+5=30
ANSWER:A | aqua_rat |
Ben is driving on the highway at z miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour? | [
"5,280(z/y)",
"5,280(y/x)",
"5,280(xy)",
"5,280/(xy)"
] | A | 5,280(z/y) | In one hour, at the rate of z miles per hour, Ben covers z miles, so 5,280z feet.
The number of revolutions = distance/circumference = 5,280z/y.
Answer: A. | aqua_rat |
Anne bought doughnuts for a class breakfast party. She bought 15 chocolate doughnuts, 12 coconut doughnuts, and 14 jam-filled doughnuts. How many doughnuts did Anne buy in all? | [
"41",
"36",
"39",
"21"
] | A | 41 | Add the numbers of doughnuts.
15 + 12 + 14 =41.
Answer is A. | aqua_rat |
A man purchased a grinder for Rs. 640 and sold it at a profit of 15%. The selling price is: | [
"Rs. 736",
"Rs. 812",
"Rs. 684",
"None of these"
] | A | Rs. 736 | s.p.=115/100 × 640=736
Answer: A | aqua_rat |
If 1< x < 2, which of the following must be true?
I. x^3 < x^2
II. x^2 < 2 + x
III. x^2 < x^4 | [
"I only",
"I and II only",
"III only",
"I and III only"
] | C | III only | I. x^3 < x^2 --> for values greater than 1 x^3 > x^2, so this statement is false.
II. x^2 < 2 + x --> x(x-1) < 2 --> 2*(2-1)= 2 !< 2, so this statement is also false.
III. x^2 < x^4 --> for values of x between 1 and 2 x^2< x^4, so this statement is true.
Answer: C. | aqua_rat |
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 2500 resolutions? | [
"1187 m",
"1704 m",
"2179 m",
"3520 m"
] | D | 3520 m | In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 2500 resolutions.
= 2500 * 2 * 22/7 * 22.4
= 352000 cm
= 3520 m
Answer:D | aqua_rat |
The angles of a triangle are in the ratio 1:3:8. Find the measurement of the three angles of triangle. | [
"90°",
"100°",
"120°",
"140°"
] | C | 120° | If the ratio of the three angles is 1:3:8, then the measures of these angles can be written as x, 3x and 8x. Also the sum of the three interior angles of a triangle is equal to 180°. Hence
x + 3x + 8x = 180
Solve for x
12x = 180
x = 15
The measures of the three angles are
x = 15°
3x = 3 × 15 = 45°
8x = 8 × 15 = 120°
C | aqua_rat |
A cyclist bikes x distance at 12 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? | [
"8.1",
"8.3",
"9.6",
"8.9"
] | C | 9.6 | Distance = d1 = x miles
Speed = s1 = 12 miles per hour
Time = t1 = Distance/ Speed = x/12
2. Going from B to A
Distance = d2 = x miles
Speed = s2 = 8 miles per hour
Time = t2 = Distance/ Speed = x/8
3. Average Speed = Total Distance/Total Time
Total Distance = x + x = 2x
Total Time = x/12 + x/8 = x (1/12 + 1/8) = =5x/24
Speed = 2x/(5x/24) = 48/5
= 9.6
Answer : C | aqua_rat |
The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire? | [
"2:5",
"2:7",
"4:3",
"2:4"
] | A | 2:5 | The volume of the cone = (1/3)πr2h
Only radius (r) and height (h) are varying.
Hence, (1/3)π may be ignored.
V1/V2 = r12h1/r22h2 => 1/10 = (1)2h1/(2)2h2
=> h1/h2 = 2/5
i.e. h1 : h2 = 2 : 5
Answer:A | aqua_rat |
What kind of charge do iconic compounds have? | [
"net neutral charge",
"net negative charge",
"net positive charge",
"white neutral charge"
] | A | net neutral charge | Ionic compounds consist of oppositely charged ions that are held together by ionic bonds. The opposite charges cancel out so ionic compounds have a net neutral charge. Ionic compounds form when metals transfer valence electrons to nonmetals. | science |
What color is the brittle metalloid tallurium? | [
"purplish blue",
"silvery white",
"brownish black",
"yellowish green"
] | B | silvery white | Tellurium is a silvery white, brittle metalloid. It is toxic and may cause birth defects. Tellurium can conduct electricity when exposed to light, so it is used to make solar panels. It has several other uses as well. For example, it makes steel and copper easier to work with and lends color to ceramics. | science |
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%? | [
"600",
"887",
"256",
"650"
] | D | 650 | Cost price = Rs.500
profit = 30% of 500 = Rs.150
Selling price = Cost price + Profit
= 500 + 150 = 650
Answer: D | aqua_rat |
3889 + 12.952 - ? = 3854.002 | [
"47.95",
"49.75",
"45.97",
"47.59"
] | A | 47.95 | Let 3889 + 12.952 - x = 3854.002.
Then x = (3889 + 12.952) - 3854.002
= 3901.952 - 3854.002
= 47.95.
Answer is A | aqua_rat |
Virginia, Adrienne, and Dennis have taught history for a combined total of 75 years. If Virginia has taught for 9 more years than Adrienne and for 9 fewer years than Dennis, for how many years has Dennis taught? | [
"23",
"34",
"35",
"41"
] | B | 34 | Let number of years taught by Virginia = V
number of years taught by Adrienne = A
number of years taught by Dennis = D
V+A+D = 75
V= A+9
=>A = V-9
V= D-9
=> A = (D-9)-9 = D-18
D-9 + D-18 + D = 96
=> 3D = 75+ 27 = 102
=> D = 34
Answer B | aqua_rat |
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