question stringlengths 5 2.38k | choices listlengths 4 4 | reasoning stringlengths 0 3.7k ⌀ | answer stringclasses 9
values |
|---|---|---|---|
A sum of Rs.3000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. | [
"A. 2888",
"B. 3120",
"C. 2877",
"D. 2999"
] | Let A be the amount received at the end of the three years.
A = 3000[1 + 10/100][1 + 20/100][1 + 25/100]
A = (3000 * 11 * 6 * 5)/(10 * 5 * 4)
A = Rs.4950
So the interest = 4950 - 3000 = Rs.1950
Answer: E
The answer is: E | E |
What aspect of tardigrade neuroanatomy makes them particularly suitable for studying the integration of motor control systems in systems neuroscience? | [
"A. Their large brain size relative to body size allows for complex processing.",
"B. They possess a multi-lobed brain with a simple organization of a few hundred neurons.",
"C. Their ability to perform complex multi-limbed behaviors requires advanced neural circuitry.",
"D. They have a well-developed sensory... | We present the case for developing the tardigrade (Hypsibius exemplaris) into a model organism for systems neuroscience. These microscopic, transparent animals (~300-500 microns) are among the smallest known to possess both limbs (eight) and eyes (two), with a nervous system of only a few hundred neurons organized into... | B |
In a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. Find the total number of cows. | [
"A. 12",
"B. 14",
"C. 16",
"D. 18"
] | Let the number of ducks be d
and number of cows be c
Then, total number of legs = 2d + 4c = 2(d + 2c)
total number of heads = c + d
Given that total number of legs are 32 more than twice the number of heads
=> 2(d + 2c) = 32 + 2(c + d)
=> d + 2c = 16 + c + d
=> 2c = 16 + c
=> c = 16
i.e., total number of cows = 16
Answ... | C |
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water? | [
"A. 5",
"B. 6",
"C. 8",
"D. 4"
] | S = 4
M = x
DS = x + 4
US = x - 4
6/(x + 4) + 6/(x - 4) = 2
x = 8
Answer:C
The answer is: C | C |
If the sum of the interior angles of a regular polygon measures up to 720 degrees, then how many sides does the polygon have? | [
"A. 10",
"B. 6",
"C. 12",
"D. 11"
] | one of the interior angle = 180 - 360/n
sum of the interior angles is = n (180 - 360/n)
given
n(180 - 360/n)=720
180n - 360 = 720
180n = 1080
n = 1080/180 = 6
ANSWER:B
The answer is: B | B |
What principle does a quartz crystal microbalance rely on to measure mass changes in thin films during deposition? | [
"A. The photoelectric effect",
"B. The piezoelectric effect",
"C. The thermoelectric effect",
"D. The Hall effect"
] | Most such instruments use a quartz crystal microbalance as the sensor. Optical measurements are sometimes used; this may be especially appropriate if the film being deposited is part of a thin film optical device. | B |
J is 25% less than P and 20% less than T. T is x% less than P. What is the value of x? | [
"A. 93.5",
"B. 90",
"C. 6.75",
"D. 6.25"
] | Let, P = 400
then J = (75/100)*400 = 300
also J = (80/100)*T
i.e. T = 300*100/80 = 375
and T = [1-(x/100)]*P
i.e. 100-x = 100*T/P = 100*375/400 = 93.75
i.e. x = 6.25
Answer: Option D
The answer is: D | D |
Three runners E, B and C run a race, with runner E finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race? | [
"A. 36m",
"B. 48m",
"C. 60m",
"D. 72m"
] | Let distance of race be x mtrs. Then when E finishes x m , B has run (x- 12)mtrs and C has run x-18 mtrs. so at this point B is 6 m ahead of C. Now to finish race b needs to run another 12 m, so he runs another 12 m. when B finishes race he is 8 m ahead of C. so last 12 m B has run, C has run 10 m.
as speeds are consta... | B |
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is? | [
"A. 65 years",
"B. 40 years",
"C. 54 years",
"D. 46 years"
] | Sum of the present ages of husband, wife and child
= (27 * 3 + 3 * 3) = 90 years.
Sum of the present age of wife and child
= (20 * 2 + 5 * 2) = 50 years.
Husband's present age
(90 - 50) = 40 years.
Answer:B
The answer is: B | B |
Which of the following statements best describes a graph property in the context of graph theory? | [
"A. A graph property is dependent on the specific layout of the graph.",
"B. A graph property is preserved under all possible isomorphisms of the graph.",
"C. A graph property only applies to weighted graphs and not to unweighted graphs.",
"D. A graph property can change if the graph is redrawn in a different... | While graph drawing and graph representation are valid topics in graph theory, in order to focus only on the abstract structure of graphs, a graph property is defined to be a property preserved under all possible isomorphisms of a graph. In other words, it is a property of the graph itself, not of a specific drawing o... | B |
What is the primary innovation introduced by the FMSD-TTS framework in the context of speech synthesis for Tibetan dialects? | [
"A. A method to create a large-scale parallel speech corpus from existing datasets.",
"B. A few-shot, multi-speaker, multi-dialect text-to-speech framework that synthesizes speech using limited data.",
"C. An algorithm that exclusively focuses on enhancing speaker identity without considering dialectal variatio... | Tibetan is a low-resource language with minimal parallel speech corpora spanning its three major dialects-\"U-Tsang, Amdo, and Kham-limiting progress in speech modeling. To address this issue, we propose FMSD-TTS, a few-shot, multi-speaker, multi-dialect text-to-speech framework that synthesizes parallel dialectal spee... | B |
If p and q are the two digits of the number 653pq such that this number is divisible by 80, then p+q is equal to : | [
"A. 2",
"B. 3",
"C. 4",
"D. 6"
] | Since 653xy is divisible by 5 as well as 2, so y = 0.
Now, 653x0 must be divisible by 8.
So, 3x0 must be divisible by 8. This happens when x = 2
x + y = (2 + 0) = 2.
ANSWER:A
The answer is: A | A |
An amount of Rs. 10000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested at 11% was? | [
"A. 2377",
"B. 3750",
"C. 2997",
"D. 2677"
] | Let the sum invested at 9% be Rs. x and that invested at 11% be Rs. (10000 - x). Then,
(x * 9 * 1)/100 + [(10000 - x) * 11 * 1]/100 = (10000 * 39/4 * 1/100)
(9x + 110000 - 11x)/100 = 3900/4 =975
(9x + 110000 - 11x) = 97500
x = 6250
Sum invested at 9% = Rs. 6250
Sum invested at 11% = Rs. (10000 - 6250) = Rs. 3750.
Answe... | B |
The number of the members of a club is more than 20 and less than 50. When 5 people sit at a table, other people exactly divided to 6-people groups (6 people sit at a table) or 7-people groups (7 people sit at a table). If the members are divided to 8-people groups, how many people will be left? | [
"A. 3",
"B. 4",
"C. 5",
"D. 6"
] | The number of members is 7k+5 = 6j+5
The only number in this range which satisfies this is 47.
47/8 = 5(8) + 7
The answer is E.
The answer is: E | E |
If a fair die is rolled three times, what is the probability that a 3 occurs on at least one roll? | [
"A. 25/36",
"B. 125/216",
"C. 91/216",
"D. 11/36"
] | Thus, the probability of at least 1 roll = 1- Probability of NO 3s = 1- (5/6)(5/6)(5/6) = 1-125/216 = 91/216.
5/6 is the probability of NOT getting a 3 in any 1 roll with 5 allowed numbers (=1,2,4,5,6) out of a total of 6 possibilities.
answer:C
The answer is: C | C |
The average age of 25 students in a class is 12years. If teacher's age is also included then average increases 1year then find the teacher's age? | [
"A. 40",
"B. 35",
"C. 29",
"D. 38"
] | Total age of 25 students = 25*12 = 300
Total age of 26 persons = 26*13 = 338
Age of teacher = 338-300 = 38years
Answer is D
The answer is: D | D |
A individuals pledged to pay equal contributions so that a charity’s goal of $x could be reached. If d of the contributors failed to pay their share, which of the following represents the additional number of dollars that each of the remaining individuals would have to pay in order to allow the charity to reach its goa... | [
"A. dx/A(A - d)",
"B. dx",
"C. a",
"D. A-d"
] | Number of individuals = A
Amount paid by each individual = n
Total expected amount = Charity's goal = nA = x
n = x/A
Number of individuals who fail to pay = d
Contribution from individuals who would fail to pay = dx/A --> Additional amount
Number of individuals who are paying = A - d
Additional amount has to be divided... | A |
What is a key characteristic of a non-neutral plasma as described in the passage? | [
"A. It contains equal numbers of positive and negative charges.",
"B. It must have a low density or small volume to remain stable.",
"C. It can sustain high densities without dissipating.",
"D. It is composed only of positive charges."
] | It is possible to produce a plasma that is not quasineutral. An electron beam, for example, has only negative charges. The density of a non-neutral plasma must generally be very low, or it must be very small. Otherwise, the repulsive electrostatic force dissipates it. | B |
Seven men and four boys can complete a work in 6 days. A man completes double the work than a boy. In how many days will 5 men and 4 boys complete the work? | [
"A. 5",
"B. 4",
"C. 6",
"D. Cannot be determined"
] | M = 2B
∴ 7M + 4B = 14B + 4B = 18B
5M + 4B = 10B + 4B = 14B
∴ 18 boys complete the work in 6 days.
∴ 14 boys complete the work in
6×18/14=7 5/7days
Note: 7 men and 4 boys complete the work in 6 days. We have to find out the no. of days in which 5 men and 4 boys complete the work. Here, we see that 4 boys are common in b... | E |
The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas? | [
"A. 81 : 100",
"B. 9 : 11",
"C. 729 : 1331",
"D. 27 : 121"
] | Ratio of the sides = ³√729 : ³√1000 = 9 : 10
Ratio of surface areas = 9^2 : 10^2 = 81 : 100
ANSWER:A
The answer is: A | A |
The compound interest on a certain sum for 2 years at 10% per annum is $525. The simple interest on the same sum for double the time at half the rate percent per annum is: | [
"A. $400",
"B. $500",
"C. $600",
"D. $800"
] | Let the sum be $. P.
Then,[P(1+10/100)^2 - P] = 525
->P[(11/10)^2 - 1] = 525
P = (525*100/21) = 2500
SUM = $2500
SO SI = $(2500*5*4/100) = $ 500
ANSWER : B $500
The answer is: B | B |
A swimmer can swim in still water at 4 km/h. If the speed of the water current is 1 km/h, how many hours will the swimmer take to swim against the current for 6 km? | [
"A. 1.2",
"B. 1.4",
"C. 1.6",
"D. 1.8"
] | The swimmer can swim against the current at a speed of 4-1 = 3 km/h.
The time it will take is 6/3 = 2 hours.
The answer is E.
The answer is: E | E |
As a treat for her two crying children, a mother runs to the freezer in which she has five cherry ice pops, three orange ice pops, and four lemon-lime ice pops. If she chooses two at random to bring outside to the children, but realizes as she runs out the door that she cannot bring them different flavors without one i... | [
"A. 1/9",
"B. 1/6",
"C. 5/18",
"D. 1/999"
] | Probability of not getting the same flavor ->
Favourable -> Cherry - orange [ 5C1 * 3C1 [or simply 5*3 ] or Cherry - lemon [ 5*4] or orange - lemon [3*4]
Prob = (5*3 + 5*4 + 3*4 ) / 9C2 = 47/47520 = 1/999
Answer -> D
The answer is: D | D |
The difference between simple interest and the compound interest on Rs.600 for 1 year at 10% per annum, reckoned half-yearly is : | [
"A. Nil",
"B. Rs.6.60",
"C. Rs.4.40",
"D. Rs.1.50"
] | Explanation:
S.I = Rs. (600×10×1/100) = Rs.60
C.I = Rs. [600×(1+5/100)2−600] = Rs.61.50
Difference = Rs.(61.50-60) = Rs.1.50
Correct Option: D
The answer is: D | D |
A train is 560 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length? | [
"A. 56 seconds",
"B. 18 seconds",
"C. 40 seconds",
"D. 19 seconds"
] | Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec
Total distance = 560+140 = 700 meter
Time = Distance/speed
= 700 * (2/25)
= 56 seconds
Answer: A
The answer is: A | A |
Three hundred students at College Q study a foreign language. Of these, 130 of those students study French, and 190 study Spanish. If at least 50 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from | [
"A. 10 to 40",
"B. 40 to 100",
"C. 60 to 100",
"D. 60 to 120"
] | 130 students study French
170 students do not study French
190 students study Spanish
110 students do not study Spanish
50 students study neither French nor Spanish
170-110=60
170-50=120
D. 60 to 120
The answer is: D | D |
Meg and Bob are among the 6 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob? | [
"A. 24",
"B. 30",
"C. 60",
"D. 90"
] | Total # of ways the race can be finished is 6!. In half of the cases Meg finishes ahead of Bob and in other half Bob finishes ahead of Meg. So, ways Meg to finish ahead of Bob is 6!/2=360.
Answer: E
The answer is: E | E |
What is the primary function of RNA-GPT as described in the passage? | [
"A. To perform genetic sequencing of RNA samples.",
"B. To simplify RNA discovery by processing and analyzing RNA literature.",
"C. To develop new RNA-based drugs through molecular synthesis.",
"D. To collect RNA sequences from the internet using web scraping techniques."
] | RNAs are essential molecules that carry genetic information vital for life, with profound implications for drug development and biotechnology. Despite this importance, RNA research is often hindered by the vast literature available on the topic. To streamline this process, we introduce RNA-GPT, a multi-modal RNA chat m... | B |
A train crosses a platform of 250 m in 20 sec, same train crosses another platform of length 640m in 40 sec. then find the length of the train? | [
"A. 150m",
"B. 180m",
"C. 152m",
"D. 140m"
] | Length of the train be ‘X’
X + 250/20= X + 640/40
2X + 500 = X + 640
X = 140m
Answer:D
The answer is: D | D |
Kid have 8 black balls and 8 white balls. He is trying to arrange a ball in a row then in how many ways can he arrange these balls in a row so that balls of different colors alternate? | [
"A. 3×(4!)^2",
"B. 1×(9!)^3",
"C. 2×(8!)^2",
"D. 2×(8!)"
] | 8 black balls can be arranged in 8! ways ...(A)
Now we need to arrange white balls such that white balls and black balls are positioned alternatively. i.e., we can arrange 8 white balls either in the 8 positions marked as A,B,C,D,E,F,G,H or in the 8 positions marked as B,C,D,E,F,G,H,I as shown below.
8 white balls can ... | C |
What is the primary purpose of correlating ground truth measurements with remotely sensed digital images in the context of remote sensing? | [
"A. To enhance the aesthetic quality of digital images.",
"B. To analyze location errors and improve the accuracy of spatial data.",
"C. To generate new geographic coordinates using GPS technology.",
"D. To develop algorithms for image processing in remote sensing."
] | Ground truth is usually done on site, correlating what is known with surface observations and measurements of various properties of the features of the ground resolution cells under study in the remotely sensed digital image. The process also involves taking geographic coordinates of the ground resolution cell with GPS... | B |
When x is divided by y, the quotient is s with remainder r. Which of the following is y in terms of r, x, and s? (Assume both y and s are nonzero.) | [
"A. x – r –s",
"B. (x+r)/s",
"C. x/s−r",
"D. (x−r)/s"
] | Given that when x is divided y, the quotient is s and remainder is r. This implies x-r is divisible by y and ys=(x-r) or y = (x-r)/s.
Answer D.
The answer is: D | D |
If an equimolar mixture X of two liquids, which decolorizes bromine water, is treated with platinum when heated, then an equimolar mixture Y of two other liquids is formed as a result of disproportionation, which does not decolorize bromine water. Hydrogenation of both mixture X and mixture Y in the presence of platinu... | [
"A. 22",
"B. 18",
"C. 12",
"D. 16"
] | The calculation shows the simplest formula of a hydrocarbon Z - CH2. Since this substance does not react further with hydrogen, it is a cycloalkane. The skeleton of all hydrocarbons described in the condition of the task must be the same as that of this cycloalkane.
Since mixture Y does not decolorize bromine water, wh... | B |
A certain experimental mathematics program was tried out in 2 classes in each of 22 elementary schools and involved 31 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and grea... | [
"A. 0 and 13",
"B. 0 and 14",
"C. 1 and 10",
"D. 1 and 6"
] | One may notice that greatest possible values differ in each answer choice in contrast to the least values, which repeat.
To find out the greatest value you should count the total classes (22*2=44), then subtract the total #of teachers since we know from the question that each teacher taught at least one class (44-31=13... | D |
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 10 percent of revenues. The profits in 2009 were what percent of the profits in 2008? | [
"A. 105%",
"B. 80%",
"C. 120%",
"D. 124.2%"
] | the profit 0f 2009 in terms of 2008 = (0.8*10/10)*100=80%
B
The answer is: B | B |
Given the following Python code snippet, which statement accurately describes the behavior and implications of using 'if (not my_string):' to check if 'my_string' is empty? Consider the scenario where 'my_string' can be any string or None. | [
"A. The code will only evaluate to True if my_string is an empty string, and it will raise an error if my_string is None.",
"B. The code evaluates to True for both an empty string and None, making it a concise way to check for falsy values.",
"C. The code will correctly identify an empty string, but will fail t... | Intent: Most elegant way to check if the string is empty
Code:
if (not my_string):
pass | B |
The cost price of a radio is Rs.1500 and it was sold for Rs.1110, find the loss %? | [
"A. 18",
"B. 16",
"C. 26",
"D. 17"
] | Explanation:
1500 ---- 390
100 ---- ? => 26%
Answer:C
The answer is: C | C |
In the context of the stochastic mean-field model for finite-size networks of Poisson neurons with non-full connectivity, what role does the quenched disorder of connectivity play in shaping the dynamics of the neuronal population? | [
"A. It introduces a constant noise term that stabilizes the synchronous firing of neurons.",
"B. It leads to a softening of the effective nonlinearity and can stabilize the asynchronous state.",
"C. It affects only the mean firing rate without influencing variance or nonlinear dynamics.",
"D. It is irrelevant... | Mean-field models of neuronal populations in the brain have proven extremely useful to understand network dynamics and response to stimuli, but these models generally lack a faithful description of the fluctuations in the biologically relevant case of finite network size and connection probabilities $p<1$ (non-full con... | B |
A and B enter into partnership with capitals in the ratio 3 : 4. At the end of 10 months A withdraws,and the profits now are divided in the ratio of 3 : 2. Find how long B remained in the business? | [
"A. 5 months",
"B. 8 months",
"C. 6 months",
"D. 7 months"
] | Initially A’s investment = 3x and B’s investment = 4x
Let B remain in the business for ‘n’ months.
⇒ 3x × 10 : 4x × n = 3 : 2
∴ 3x × 10 × 2 = 4x × n × 3
⇒ n = 5
Answer A
The answer is: A | A |
The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $10 more, the corresponding ratio would have been 5:3. How much was the oil bill for January? | [
"A. $60",
"B. $80",
"C. $100",
"D. $120"
] | 3:2 = 9:6 and 5:3 = 10:6.
An increase in $10 increases the ratio by 1:6.
Therefore, January's bill was 6($10) = $60.
The answer is A.
The answer is: A | A |
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. | [
"A. 1900",
"B. 1750",
"C. 10300",
"D. 8600"
] | 65 * 6 : 84 * 5 : 100 * 3
26:28:20
C share = 74000 * 95/100 = 7030 * 20/74 => 1900
ANSWER A
The answer is: A | A |
Two heavily loaded sixteen-wheeler transport trucks are 690 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintai... | [
"A. 120",
"B. 130",
"C. 150",
"D. 320"
] | I've been reading the website for a while and I'm always keen to see different approaches so I would like to share one that works for me:
Short version:
Truck A travels for an hour.
Distance remaining = 690-90 = 600k
Ratio of speeds 9:8 -> 510/17 = 30
Truck A = 90 + 30*9 = 360
Truck B = 30*8 = 240
Delta = 120km
Answer ... | A |
In a BCCI meeting there are 11 people. All shake hands with each other once. How many handshakes will be there altogether? | [
"A. 28",
"B. 10",
"C. 11",
"D. 19"
] | There will be n-1 handshakes as A person will shake hands with all the other members.
=11-1=10
Answer:B
The answer is: B | B |
Which of these structures produces male gametes in humans? | [
"A. testes",
"B. ovaries",
"C. scrotum",
"D. fallopian tube"
] | A | |
3 friends A,B,C went for week end party to McDonald's restaurant and there they measure there weights in some order in 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 155 kg, then find the average weight of all the 7 rounds? | [
"A. 56",
"B. 66",
"C. 77",
"D. 88"
] | Its finally a easy one..haha
(A+B+C+AB+BC+CA+ABC)/7 ...as given ABC=155
so A+B+C also equal to 155 and AB+BC+CA=2ABC=(2*155)
finally..(155+2*155+155)/7=88.57
ANSWER:D
The answer is: D | D |
Which one of the following is equal to 3.14×10(6)? | [
"A. 314",
"B. 3140",
"C. 3140000",
"D. None of these"
] | Solution
Given, 3.14 ×106 =3.140000×1000000
= 3140000.
Answer C
The answer is: C | C |
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