text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
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<|im_start|>user
For a race a distance of 224 meters can be covered by P in 7 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
Answer Choices: (A) 800m (B) 838m (C) 834m (D) 831m (E) 836m<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
This is a simple speed time problem. Given ... | 25,881 |
<|im_start|>user
In Mr. Mehta's family, there are one grandfather, two fathers, two mothers, one father-in-law, one mother-in-law, one brother, two sisters, two sons, two daughters, etc. You have to give the minimal number of members
Answer Choices: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
... | 68,255 |
<|im_start|>user
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separat... | 36,725 |
<|im_start|>user
A painting crew painted 80 houses. They painted the first y houses at a rate of x houses per week. Then more painters arrived and everyone worked together to paint the remaining houses at a rate of 3.25x houses per week. How many weeks did it take to paint all 80 houses, in terms of x and y?
Answer Cho... | 50,023 |
<|im_start|>user
If the population of a certain country increases at the rate of one person every 30 seconds, by how many persons does the population increase in 1 hour?
Answer Choices: (A) 100 (B) 120 (C) 150 (D) 180 (E) 160<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer = 2 * 60 = 120
The answer is B<|endo... | 7,646 |
<|im_start|>user
If twice of a number divided by 3d gives 20 as the remainder, and five times of the same number gives 32 as the remainder. What will be the value of d?
Answer Choices: (A) 11 (B) 12 (C) 15 (D) 14 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
ReMainder in second case is,32. So,3d>=33.
So, mi... | 82,409 |
<|im_start|>user
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Answer Choices: (A) 17/26 (B) 17/29 (C) 17/24 (D) 17/20 (E) 17/21<|im_end|>
<|im_start|>assistant
<think>
</think>
n(S) = 20
n(Even no) = 10 = n(E)
n(Prime no) = ... | 27,919 |
<|im_start|>user
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
Answer Choices: (A) 54.68 (B) 54 (C) 45.68 (D) 45 (E) 55<|im_end|>
<|im_start|>assistant
<think>
</think>
Average marks of batch1 = 50
Students in batch1 = 55
Tot... | 86,585 |
<|im_start|>user
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the roots of the equation 2a and 3a respectively.
2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
Product of the... | 30,275 |
<|im_start|>user
How many integers from 22 to 160, inclusive, are divisible by 3 but not divisible by 7?
Answer Choices: (A) 30 (B) 35 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
We should find # of integers divisible by 3 but not by 3*7=21.
# of multiples of 21 in the range from 22 to 160, ... | 17,906 |
<|im_start|>user
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative to man =... | 21,587 |
<|im_start|>user
Find the number such that when 15 is subtracted from 7 times the number,the result is 10 more than twice the number?
Answer Choices: (A) 4 (B) 3 (C) 5 (D) 2 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be x.
7x-15=2x+10
7x-2x=15+10
5x=25
x=5
The answer is C<|endoftext|> | 55,979 |
<|im_start|>user
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
DS = 6
US = 4
S = ?
S = (6 - 4)/2 = 1 kmph
The answer is A<|endoftext|> | 41,662 |
<|im_start|>user
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
Answer Choices: (A) 20 (B) 21 (C) 25 (D) 27 (E) 29<|im_end|>
<|im_start|>assistant
<think>
</think>
(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131
a + b + c = √400 = 20
A
Th... | 84,826 |
<|im_start|>user
A man bought pens at 3 for a dollar. How many for a dollar must he sell to gain 50%?
Answer Choices: (A) 3 (B) 1 (C) 2 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. of 3 pens = $1
S.P. of 3 pens = 150% of $1 = 3/2
for $3/2 pens sold = 3
for $1 pens sold = 3*2/3 = 2
The answer is C... | 84,928 |
<|im_start|>user
The Price of 357 apples is Rs.2499. What will be the price of 49 dozens of such apples?
Answer Choices: (A) Rs.3800 (B) Rs.2816 (C) Rs.4116 (D) Rs.3116 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl : More apples, more cost(Direct)
357 *588 : : 2499 : x
x = (588*2499)/357 = 4... | 29,734 |
<|im_start|>user
Spindle fibers pull what apart in anaphase i?
Answer choice: (A) linked chromosomes (B) known chromosomes (C) risk chromosomes (D) True Chromosomes<|im_end|>
<|im_start|>assistant
<think>
</think>
In anaphase I, the spindle fibers pull the linked chromosomes apart. The sister chromatids remain tightl... | 6,521 |
<|im_start|>user
If a coin is tossed three times, what is the probability that on the first toss the coin lands tails, on the second toss the coin lands tails, and on the third toss the coin lands heads.
Answer Choices: (A) 1/2 (B) 1/8 (C) 1/6 (D) 1/4 (E) 3/8<|im_end|>
<|im_start|>assistant
<think>
</think>
Since the... | 56,458 |
<|im_start|>user
Ram professes to sell his goods at the cost price but he made use of 850 grms instead of a kg, what is the gain percent?
Answer Choices: (A) 19 11/17% (B) 15 11/17% (C) 18 11/17% (D) 17 11/17% (E) 10 11/17%<|im_end|>
<|im_start|>assistant
<think>
</think>
850 --- 150
150 --- ? =>
=150/850 *100
=17 11... | 48,780 |
<|im_start|>user
In how many ways can the letters D, I, G, I be arranged so that the two I's are not next to each other?
Answer Choices: (A) 36 (B) 48 (C) 72 (D) 6 (E) 128<|im_end|>
<|im_start|>assistant
<think>
</think>
1 D
2 I
1 G
1 T
Number of ways these letters can be arranged = 4!/2! (2! to account 2 same Is) = ... | 22,915 |
<|im_start|>user
A man complete a journey in 20 hours. He travels first half of the journey at the rate of 10 km/hr and second half at the rate of 15 km/hr. Find the total journey in km.
Answer Choices: (A) 220 km (B) 240 km (C) 230 km (D) 232 km (E) 234 km<|im_end|>
<|im_start|>assistant
<think>
</think>
0.5x/10 + 0... | 64,158 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Amphibians have moist skin and begin their lives in water.
Question:
Select the amphibian.
Answer Choices: (A) fire salamander (B) gharial (C) green moray eel (D) whale shark<|im_end|>
<|im_start|>assistant
<think>
</think... | 3,447 |
<|im_start|>user
What was the day of the week on 15th May, 2006?
Answer Choices: (A) Thursday (B) Friday (C) Saturday (D) Monday (E) Sunday<|im_end|>
<|im_start|>assistant
<think>
</think>
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)
Odd days in 1600 years = 0
Odd days in 400 years = 0
5 years = (4... | 18,977 |
<|im_start|>user
PR is tangent to a circle at point P. Q is another point on circle such that PQ is diameter of circle and RQ cuts circle at M. if radius of circle is 4 units and PR=6units. find ratio of triangle PMR to PQR.
Answer Choices: (A) 11/20 (B) 3/5 (C) 13/20 (D) 18/25 (E) 18/26<|im_end|>
<|im_start|>assistant... | 35,524 |
<|im_start|>user
The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Answer Choices: (A) A) 72 (B) B) 828 (C) C) 50 (D) D) 34 (E) E) 35<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Area of a triangle = r * s
Where r is the inradius and s i... | 2,669 |
<|im_start|>user
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 5 different offices?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 25 (E) 9<|im_end|>
<|im_start|>as... | 24,909 |
<|im_start|>user
99,998^2 - 2^2 =
Answer Choices: (A) 10^10 - 2 (B) (10^5 – 2) ^2 (C) 10^4(10^5 – 2) (D) 10^5(10^4 – 2) (E) 10^5(10^5 – 4) <|im_end|>
<|im_start|>assistant
<think>
</think>
(99,998)^2 - (2)^2 = (100,000 -2)^2 - (1)^2 = (100,000)^2 - 2*2*100,000 + 2^2-2^2=(10^5)^2 - 4*(10^5) = 10^10 - 4*(10^5)=10^5(1... | 71,295 |
<|im_start|>user
If the positive integer x is divisible by 3, 8, and 12, then which of the following must x be divisible by?
I. 24
II. 26
III. 48
Answer Choices: (A) IIonly (B) I only (C) I and II only (D) II and III only (E) I, II, and III<|im_end|>
<|im_start|>assistant
<think>
</think>
LCM of 3, 8, 12 = 24
Answer ... | 88,238 |
<|im_start|>user
Among 300 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Answer Choices: (A) 30 (B) 90 (C) 120 (D) 17... | 64,401 |
<|im_start|>user
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 146 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 1 (E) 5<|im_end|>
<|im_start|>assis... | 64,513 |
<|im_start|>user
If each data point in a certain set Q is increased by a factor of 8, what happens with the set's standard deviation?
Answer Choices: (A) Doesn't Change (B) Decreases by Factor 8 (C) Increases by Factor 8 (D) Increases by 8 (E) Can't be determined<|im_end|>
<|im_start|>assistant
<think>
</think>
Stand... | 7,268 |
<|im_start|>user
What do you call vesicle transport into the cell?
Answer choice: (A) passive transport (B) endocytosis (C) metastasis (D) dialysis<|im_end|>
<|im_start|>assistant
<think>
</think>
Vesicle transport into the cell is called endocytosis. The cell membrane engulfs the substance. Then a vesicle pinches of... | 9,409 |
<|im_start|>user
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 6 times the amount of the second solution?
Answer Choices: (A) 62 (B) 65 (C) 68 (D) 70 (E) 72<|im_end|>
<|i... | 85,610 |
<|im_start|>user
If (5^7)(9^4)=3(15^x), what is the value of x?
Answer Choices: (A) 7 (B) 9 (C) 11 (D) 13 (E) 15<|im_end|>
<|im_start|>assistant
<think>
</think>
(5^7)(9^4)=3(15^x)
=> 5^7 * 3^8 = 3 * 3^x * 5^x
=> 5^7 * 3^8 = 3^(x+1) * 5^x
Value of x = 7
The answer is A<|endoftext|> | 84,528 |
<|im_start|>user
Two identical circles intersect such that their centers and the points at which they intersect form a square of side 1 cm. What is the area of the region where the two circles intersect?
Answer Choices: (A) pi/2 - 1 (B) pi/4 - 1 (C) 1 - pi/4 (D) pi/8 + 1 (E) 4 - pi<|im_end|>
<|im_start|>assistant
<thin... | 3,166 |
<|im_start|>user
The “d-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^d, where d is the d-number of the result of his die roll, and plots 3^d on a number line as... | 21,510 |
<|im_start|>user
Fill in the missing number:
18 14 12 11 ? 10.25
Answer Choices: (A) 10.1 (B) 10.4 (C) 10.2 (D) 10.5 (E) 10.3<|im_end|>
<|im_start|>assistant
<think>
</think>
D
10.5
Divide each number by 2 and then add 5 to it.
The answer is D<|endoftext|> | 72,678 |
<|im_start|>user
Sandy buys an old scooter for $900 and spends $300 on its repairs. If Sandy sells the scooter for $1260, what is the gain percent?
Answer Choices: (A) 3% (B) 5% (C) 7% (D) 9% (E) 11%<|im_end|>
<|im_start|>assistant
<think>
</think>
selling price / total cost = 1260/1200 = 1.05
The gain percent is 5%.... | 44,254 |
<|im_start|>user
Which of the following functions f(x) satisfies the condition f(y-z) = f(y)-f(z) for all possible values of y and z?
Answer Choices: (A) f(x) = x2 (B) f(x) = x + (x−1) ^2 (C) f(x) = x-1 (D) f(x) = 5/x (E) f(x) = x/5<|im_end|>
<|im_start|>assistant
<think>
</think>
E. f(x) = x/5
Now for LHS x=y-z... | 62,171 |
<|im_start|>user
Jake took a bus from home to market, that travels at 10 kmph. While walking back at 2 kmph,
halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 50 kmph. Find the average speed.
Answer Choices: (A) 1.17 kmph (B) 1.67 kmph (C) 0.69 kmph (D) 1.45 kmph (E)... | 60,100 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
Answer the riddle.
I am small.
I have six legs.
I may be red or black.
What am I?
Answer Choices: (A) a fish (B) an ant<|im_end|>
<|im_start|>assistant
<think>
</think>
An ant is small.
An ant has six legs.
An ... | 6,086 |
<|im_start|>user
What occurs when air masses meet?
Answer choice: (A) earthquakes (B) fronts (C) currents (D) tides<|im_end|>
<|im_start|>assistant
<think>
</think>
Much of the weather occurs at fronts, where air masses meet.
The answer is B<|endoftext|> | 5,868 |
<|im_start|>user
I. a3 - 305 = 207,
II. b2 - 72 = -8 to solve both the equations to find the values of a and b?
Answer Choices: (A) a > b (B) a ≥ b (C) a < b (D) a ≤ b (E) a = b or the relationship between a and b cannot be established.<|im_end|>
<|im_start|>assistant
<think>
</think>
a3 = 512 => a = 8
b2 = 64 => b =... | 57,137 |
<|im_start|>user
An woman swims downstream 64 km and upstream 24 km taking 8 hours each time; what is the speed of the current?
Answer Choices: (A) 1.6 (B) 1.8 (C) 3.5 (D) 1.5 (E) 2.5<|im_end|>
<|im_start|>assistant
<think>
</think>
64 --- 8 DS = 8
? ---- 1
24 ---- 8 US = 3
? ---- 1 S = ?
S = (8 - 3)/2 = 2.5
The answ... | 76,050 |
<|im_start|>user
In expressing a length 81.479 km as nearly as possible with three significant digits, find the percentage error?
Answer Choices: (A) 0.075% (B) 0.156% (C) 0.026% (D) 0.048% (E) 0.152%<|im_end|>
<|im_start|>assistant
<think>
</think>
Error = 81.5-81.479 = 0.021
Required percentage = (0.021/81.479)*100... | 49,333 |
<|im_start|>user
Find the odd one out:
125, 106, 85, 76, 65, 58, 53
Answer Choices: (A) 33 (B) 85 (C) 26 (D) 18 (E) 222<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
This sequence represents a series in which from the reverse order a prime number is added:
53+5=58
58+7=65
65+11=76
76+13=89
89+17=106
1... | 4,184 |
<|im_start|>user
What is the relationship of multiple action potentials from a single cell resulting in a significant change in the membrane potential?
Answer choice: (A) nature summation (B) bipolar summation (C) temporal summation (D) distinct summation<|im_end|>
<|im_start|>assistant
<think>
</think>
membrane is a... | 10,962 |
<|im_start|>user
A man buys an article for $20. and sells it for $25. Find the gain percent?
Answer Choices: (A) 25% (B) 50% (C) 20% (D) 15% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
C.P. = $20
S.P. = $25
Gain = $5
Gain% = 5/20 *100 =25%
The answer is A<|endoftext|> | 25,996 |
<|im_start|>user
By selling 9 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
Answer Choices: (A) 8 (B) 9 (C) 7 (D) 4 (E) 6<|im_end|>
<|im_start|>assistant
<think>
</think>
80% --- 9
120% --- ?
80/120 * 9 = 6
The answer is E<|endoftext|> | 68,510 |
<|im_start|>user
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
Answer Choices: (A) 34 (B) 97 (C) 37 (D) 80 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
1/2 * d (10 + ... | 89,203 |
<|im_start|>user
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
Answer Choices: (A) 65 kg (B) 70 kg (C) 75 kg (D) 80 kg (E) 85 kg<|im_end|>
<|im_start|>assistant
<think>
</think>
Total weight increased = ... | 4,190 |
<|im_start|>user
A person crosses a 800 m long street in 5 minutes. What is his speed in km per hour?
Answer Choices: (A) 1.23 (B) 2.86 (C) 4.36 (D) 9.25 (E) 9.61<|im_end|>
<|im_start|>assistant
<think>
</think>
distance = 800 meter
time = 5 minutes = 5 x 60 seconds = 300 seconds
Speed = distance/time=800/300=2.67 m/... | 63,293 |
<|im_start|>user
Which of these must the factor M of the product of four consecutive even integers:-
1) 48
2) 64
3) 96
4) 192
5) 80
Answer Choices: (A) M=1,2 only (B) M=2,3 only (C) M=1,2,3 only (D) M=1,2,3,4 only (E) All of them<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the four variables be a< b< c< d.
A... | 15,844 |
<|im_start|>user
What branch of science is the study of matter and energy?
Answer choice: (A) unnatural science (B) natural science (C) physical science (D) negative science<|im_end|>
<|im_start|>assistant
<think>
</think>
Physical science is the study of matter and energy. That covers a lot of territory because matt... | 8,643 |
<|im_start|>user
The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is :
Answer Choices: (A) 8% (B) 1% (C) 20% (D) 80% (E) None<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Let the business value changes from x to y.
... | 21,099 |
<|im_start|>user
The present age of a father is 4 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
Answer Choices: (A) 30 (B) 38 (C) 29 (D) 40 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
... | 31,263 |
<|im_start|>user
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 75 per kg. How much amount did he pay to the shopkeeper?
Answer Choices: (A) A) 1235 (B) B) 1055 (C) C) 1065 (D) D) 1075 (E) E) 1080<|im_end|>
<|im_start|>assistant
<think>
</think>
Cost of 8 kg grapes = 70 ×... | 47,118 |
<|im_start|>user
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be odd?
Answer Choices: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6<|im_end|>
<|im_start|>assistant
<think>
</think>
Probably the best way to solve wo... | 72,690 |
<|im_start|>user
The most common mode of asexual reproduction is through the formation of asexual these?
Answer choice: (A) spores (B) fibers (C) atoms (D) cells<|im_end|>
<|im_start|>assistant
<think>
</think>
The most common mode of asexual reproduction is through the formation of asexual spores, which are produced... | 7,591 |
<|im_start|>user
What is the 26th digit to the right of the decimal point in the decimal form of 6/11?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
6/11 = 0.54545454...
The even numbered positions in the decimal expansion are all 4.
The answer is B<|endoftext|> | 7,359 |
<|im_start|>user
The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to:
Answer Choices: (A) 0.48 (B) 5.8 (C) 0.58 (D) 0.058 (E) 0.0058<|im_end|>
<|im_start|>assistant
<think>
</think>
= 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749
= 489 x 0.05 x 2/0.09 x 93 x 100
= 489/9 x 93 x 10
= 163/... | 86,535 |
<|im_start|>user
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Answer Choices: (A) Rs. 8400 (B) Rs. 11,900 (C) Rs. 13,600 (D) Rs. 14,700 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Expl... | 87,431 |
<|im_start|>user
Radha started a business, investing 75,000. After 3 months, Sunidhi joined her with an amount of 1,25,000 and after another six months Neha joined them with an amount of 1,50,000. Profit earned at the end of three years from when Radha started the business should be distributed in what ratio among Radh... | 12,851 |
<|im_start|>user
What should be the least number to be added to the 3198 number to make it divisible by 8?
Answer Choices: (A) 12 (B) 17 (C) 2 (D) 77 (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Answer : 2
Option : C
The answer is C<|endoftext|> | 91,347 |
<|im_start|>user
A and B enter into a partnership with respective capitals of Rs. 20,000 and Rs. 40,000. At the end of the year, the total profit is Rs. 39,000. If A receives Rs. 15,000 as both his salary and profit, then what is his salary?
Answer Choices: (A) Rs. 2000 (B) Rs. 4000 (C) Rs. 3500 (D) Rs. 3000 (E) None o... | 46,865 |
<|im_start|>user
what will come after
1,3,9,31,129
Answer Choices: (A) 451 (B) 551 (C) 651 (D) 751 (E) 851<|im_end|>
<|im_start|>assistant
<think>
</think>
1*1+2 = 3
3*2+3 = 9
9*3+4 = 31
31*4 + 5 = 129
In same logic next number will be-
129*5 + 6 = 651
The answer is C<|endoftext|> | 16,206 |
<|im_start|>user
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
Answer Choices: (A) 22 (B) 10 (C) 88 (D) 566 (E) 222<|im_end|>
<|im_start|>assis... | 40,266 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Answer Choices: (A) 350 m (B) 250 m (C) 300 m (D) 148 m (E) 150 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m
Th... | 18,003 |
<|im_start|>user
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Answer Choices: (A) 378 (B) 277 (C) 375 (D) 287 (E) 279<|im_end|>
<|im_start|>assistant
<think>
</think>
A+B+C = 1500
A = 1/3(B+C); B = 2/3(A+C)
A/(B+C) = 1/3
A = ... | 46,883 |
<|im_start|>user
In an election between 2 candidates, 50% of the voters cast their votes, out of which 10% of the votes were declared invalid. A candidate got 5000 votes which were 50% of the total valid votes. Find the total number of votes enrolled in that election?
Answer Choices: (A) 16200 (B) 18000 (C) 17500 (D) 1... | 380 |
<|im_start|>user
A company blends two varieties of tea from two different tea gardens, one variety costing 20 per kg and other 25 per kg, in the ratio 5 : 4. He sells the blended tea at 23 per kg. Find his profit percent
Answer Choices: (A) 5% profit (B) 3.5% loss (C) 3.5% profit (D) No profit, no loss (E) None of thes... | 91,888 |
<|im_start|>user
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
Answer Choices: (A) 4/5 (B) 2/7 (C) 8/15 (D) 7/5 (E) 2/8<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Amount of work P can do in... | 83,022 |
<|im_start|>user
The mark up between "normal plan" price and "premium plan" price is 30 percent of the "normal plan" price. The markup is what percent of the "premium plan" price ?
(markup = difference between normal and premium price plans)
Answer Choices: (A) 8% (B) 20% (C) 33 1/3% (D) 45% (E) 56 2/3%<|im_end|>
... | 7,173 |
<|im_start|>user
Gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles/hr for the remaining 40 miles of the trip if she made no stops during the trip what was Gwen's avg speed in miles/hr for the entire trip
Answer Choices: (A) 35 (B) 20 (C) 45 (D) 50 (E) 5... | 31,394 |
<|im_start|>user
IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
Answer Choices: (A) 3x^3 (B) 9x/3 (C) 9x^2 (D) x(x+1) (x+2) (E) x-3<|im_end|>
<|im_start|>assistant
<think>
</think>
*any number multiplied by 3, will be divided by 3
for option E if we put value x=10, 10-3=7 is ... | 67,225 |
<|im_start|>user
A train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 180 (B) 240 (C) 288 (D) 267 (E) 211<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (54 * 5/18) m/s... | 85,929 |
<|im_start|>user
A walks at 10 kmph and 3 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Answer Choices: (A) 100km (B) 150km (C) 60km (D) 120km (E) 200km<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose after x km from the start B catches up with A. Then, ... | 59,975 |
<|im_start|>user
A factory makes 134,341 jam packets which need to be placed in boxes and each box can contain at most 9 packets.How many packets will be in the last unfilled box?
Answer Choices: (A) 1 packet (B) 2 packets (C) 3 packets (D) 4 packets (E) 5 packets<|im_end|>
<|im_start|>assistant
<think>
</think>
In o... | 3,247 |
<|im_start|>user
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Answer Choices: (A) 25 (B) 30 (C) 40 (D) 45 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Relative speed of the train=... | 71,504 |
<|im_start|>user
A can be divided by 11 with no remainder. Which of the following expressions could be divided by 11 leaving a remainder of 1?
Answer Choices: (A) A-20 (B) A-12 (C) A-9 (D) A-10 (E) A-13<|im_end|>
<|im_start|>assistant
<think>
</think>
since A is a multiple of 11, we could very well say A = 11K (where... | 12,221 |
<|im_start|>user
A train of length 250 m crosses a bridge of length 180m in 20 seconds. What is the speed of train?
Answer Choices: (A) 33 (B) 77.4 (C) 25 (D) 22 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol : (length of train+ length of bridge) = speed of train x Time
(250+180) = 20 x Speed
Speed = 430... | 84,552 |
<|im_start|>user
Local trains leave from a station at an interval of 14 minutes at a speed of 36 km/h. A man moving in the same direction along the road meets the trains at an interval of 18 minutes. Find the speed of the man.
Answer Choices: (A) 8 km/h (B) 7 km/h (C) 6 km/h (D) 5.8 km/h (E) None of these<|im_end|>
<|i... | 69,014 |
<|im_start|>user
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.5 per sq m?
Answer Choices: (A) 3350 (B) 3357 (C) 3328 (D) 3329 (E) 3375<|im_end|>
<|im_start|>assistant
<think>
</think>
Area = (l + b +2... | 36,004 |
<|im_start|>user
Of the 90 people in a room, 2/5 are women. If 2/3 of the people are married, what is the maximum number of women in the room who could be unmarried?
Answer Choices: (A) 26 (B) 30 (C) 32 (D) 34 (E) 36<|im_end|>
<|im_start|>assistant
<think>
</think>
women = 2/5 * 90 = 36
married = 2/3 * 90 = 60
unmarr... | 75,420 |
<|im_start|>user
A 64 gallon solution of salt and water is 10% salt. How many gallons of water must be added to the solution in order to decrease the salt to 8% of the volume?
Answer Choices: (A) 8 (B) 12 (C) 13 (D) 14 (E) 16<|im_end|>
<|im_start|>assistant
<think>
</think>
Amount of salt = 6.4
Assume x gallons of wa... | 9,979 |
<|im_start|>user
In a bouquet of flowers, all but two are roses, all but two are tulips, and all but two are daisies. How many flowers are in the bouquet?
Answer Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5<|im_end|>
<|im_start|>assistant
<think>
</think>
C
3
There are 3 flowers (1 rose, 1 tulip, and 1 daisy).
The answer i... | 32,821 |
<|im_start|>user
a,b and c are three sides of a right angled triangle . a,b and c are all integers . Area of the triangle is T1. From all three sides a,b and c , we draw a square having areas as S1, S2 and S3 . Now, Total area ( T1+S1+S2+S3) is :
Answer Choices: (A) a fractional value (B) may be even or odd (C) odd onl... | 1,475 |
<|im_start|>user
What is the process in which a liquid boils and changes to a gas?
Answer choice: (A) sublimation (B) freezing (C) vaporization (D) melting<|im_end|>
<|im_start|>assistant
<think>
</think>
The process in which a liquid boils and changes to a gas is called vaporization . The temperature at which a liqu... | 8,151 |
<|im_start|>user
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
Answer Choices: (A) Rs.2008 (B) Rs.2022 (C) Rs.2000 (D) Rs.2029 (... | 68,797 |
<|im_start|>user
A can do a piece of work in 10 days and B can do it in 15 days and C can do it 20 days. They started the work together and A leaves after 2 days and B leaves after 4 days from the beginning. How long will work lost?
Answer Choices: (A) 1 days (B) 12 days (C) 52 days (D) 60 days (E) 10 2/3 days<|im_end|... | 79,535 |
<|im_start|>user
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Answer Choices: (A) 3/9 (B) 3/2 (C) 3/6 (D) 3/2 (E) 3/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Let ... | 5,728 |
<|im_start|>user
If the price of an article went up by 40%, then by what percent should it be brought down to bring it back to its original price?
Answer Choices: (A) 16 2/3% (B) 16 4/3% (C) 16 7/3% (D) 16 6/3% (E) 28 4/7%<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the price of the article be Rs. 100.
40% o... | 73,638 |
<|im_start|>user
If you flip a coin three times, what is the probability that you will get three heads?
Answer Choices: (A) 1/4 (B) 1/5 (C) 1/6 (D) 1/7 (E) 1/8<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability of getting heads on a single flip is 1/2,
The probability of getting heads on each flip is P_... | 12,606 |
<|im_start|>user
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Answer Choices: (A) ?= 17 (B) 18 (C) 13 (D) 10 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
A
17
The relationship holds for below form... | 2,209 |
<|im_start|>user
Find the average of first 10 natural numbers.
Answer Choices: (A) 20.5 (B) 18 (C) 19.5 (D) 19 (E) 5.5<|im_end|>
<|im_start|>assistant
<think>
</think>
Exp. Sum of first n natural numbers = n( n+1)/2
So, sum of first 10 natural numbers = 10*11/2 = 55
Required average =55/10 =5.5
The answer is E<|endof... | 29,610 |
<|im_start|>user
The ratio of investments of A, B and C is 5:6:7. If they share the profit in the ratio of 5:18:14, then find the ratio of their periods of investments.
Answer Choices: (A) 1:3:2 (B) 3:5:6 (C) 3:2:4 (D) 2:4:3 (E) 2:5:3<|im_end|>
<|im_start|>assistant
<think>
</think>
The ratio of investments of A, B a... | 82,276 |
<|im_start|>user
Can you replace the question mark with the number to complete the series, provided the pair of numbers exhibits a similar relationship?
? : 4623 :: 9 : 647
Answer Choices: (A) 17 (B) 18 (C) 13 (D) 10 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
A
17
The relationship holds for below formula... | 28,515 |
<|im_start|>user
Find the number of square tiles to cover the floor of a room measuring 6 m * 10 m leaving 0.50 m space around the room. A side of square tile is given to be 50 cms?
Answer Choices: (A) 100 (B) 180 (C) 277 (D) 18 (E) 150<|im_end|>
<|im_start|>assistant
<think>
</think>
5*9= 1/2 * 1/2 * x => x =180
The... | 70,995 |
<|im_start|>user
During a certain season, a team won 85 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Answer Choices: (A) 180 (B) 175 (C) 156 (D) 150 (E) 105<|im_end|>
<|im_sta... | 39,355 |
<|im_start|>user
In how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 54 km/hr?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 16 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = 54 * 5/18 = 15 m/s
time = 180/15 = 12 seconds
The answer is B<|endoftext|> | 90,898 |
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