text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 17000, then find the annual income of A?
Answer Choices: (A) Rs. 571200 (B) Rs. 180000 (C) Rs. 201600 (D) Rs. 504000 (E) None of these<|im_end|>
<|im_start|>assist... | 61,622 |
<|im_start|>user
A furniture manufacturer has two machines, but only one can be used at a time. Machine S is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine S can do the job in 12 days working two shifts and Machine B can do the job in 15 days w... | 54,747 |
<|im_start|>user
The average salary of 20 people in the shipping department at a certain firm is $1000. The salary of 10 of the employees is $600 each and the salary of 6 of the employees is $200 each. What is the average salary of the remaining employees?
Answer Choices: (A) $2500 (B) $3200 (C) $4500 (D) $5000 (E) $52... | 18,962 |
<|im_start|>user
If n = 2.0563 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
Answer Choices: (A) -0.0053 (B) -0.0003 (C) 0.0007 (D) 0.0037 (E) 0.0153<|im_end|>
<|im_start|>assistant
<think>
</think>
n*=2.06
n*-n=2.06-2.0563
0.0037
The answer is D<|endoftext|> | 82,754 |
<|im_start|>user
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
Answer Choices: (A) 37.5 (B) 25.7 (C) 30.5 (D) 22.5 (E) 20.5<|im_end|>
<|im_start|>assistant
<think>
</think>
100 * 100 = 10000
110 * 125 = 13750
-----------
3750
10000 ------ 3750
100 --... | 53,644 |
<|im_start|>user
What is the energy called that is stored in matter?
Answer choice: (A) stored energy (B) potential (C) possible (D) mechanical<|im_end|>
<|im_start|>assistant
<think>
</think>
Potential energy is energy stored in matter.
The answer is B<|endoftext|> | 11,364 |
<|im_start|>user
If C.P. of 28 books is equal to S.P of 30 books , then your gain or loss is ?
Answer Choices: (A) 23 1/3 gain % (B) 30 10/23 loss % (C) 6.67 loss % (D) 30 1/3 loss % (E) 40 1/3 loss %<|im_end|>
<|im_start|>assistant
<think>
</think>
Say the cost price of 28 books is $28 so $1 for a book.
The cost of ... | 61,297 |
<|im_start|>user
The Mathplanet school has increased its student body from 150 students to 240 from last year. How big is the increase in percent?
Answer Choices: (A) 20 (B) 30 (C) 40 (D) 50 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
We begin by subtracting the smaller number (the old value) from the gre... | 43,128 |
<|im_start|>user
Find the middle one when The sum of three consecutive even numbers is 36?
Answer Choices: (A) 10 (B) 12 (C) 14 (D) 15 (E) 18<|im_end|>
<|im_start|>assistant
<think>
</think>
3 consecutive numbers can be a - 1, a, a + 1
So sum of numbers = 3a = 36.
Hence a = 12.
B
The answer is B<|endoftext|> | 25,917 |
<|im_start|>user
Let x be a positive integer, what is the remainder when 5^(3x+1)+5 is divided by 5?
Answer Choices: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4<|im_end|>
<|im_start|>assistant
<think>
</think>
For: (5^(3x+1)+5)/3
Let n = 3x + 1
5^n
5^1 = 5
5^2 = 25
5^3 = 125, ... last digit is always 5.
Rule: x^(m+n) = (x^m)(x^n)
... | 75,383 |
<|im_start|>user
What is the length of a bridge (in meters), which a train 166 meters long and travelling at 45 km/h can cross in 40 seconds?
Answer Choices: (A) 310 (B) 318 (C) 326 (D) 334 (E) 342<|im_end|>
<|im_start|>assistant
<think>
</think>
speed = 45 km/h = 45000 m / 3600 s = 25/2 m/s
In 40 seconds, the train ... | 75,905 |
<|im_start|>user
A train covers a distance of 12 km in 10 min. If it takes 10 sec to pass a telegraph post, then the length of the train is?
Answer Choices: (A) 177 m (B) 189 m (C) 120 m (D) 178 m (E) 200 m<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec
= 20 m/sec.
Len... | 26,268 |
<|im_start|>user
33 1/3% OF 330?
Answer Choices: (A) 80 (B) 90 (C) 110 (D) 120 (E) 130<|im_end|>
<|im_start|>assistant
<think>
</think>
33 1/3 % = 1/3
1/3 × 330 = 110
C)
The answer is C<|endoftext|> | 53,851 |
<|im_start|>user
An intern wants to label folders with numbers using digit stickers only. If the intern uses 999 stickers, how many folders have been numbered? (The numbers of the folders are consecutive and the number of the first folder is 1).
Answer Choices: (A) 287 (B) 369 (C) 370 (D) 371 (E) 430<|im_end|>
<|im_sta... | 91,913 |
<|im_start|>user
What do skeletal muscles enable the body to do?
Answer choice: (A) breathe (B) look (C) eat (D) move<|im_end|>
<|im_start|>assistant
<think>
</think>
Skeletal Muscles. Skeletal muscles enable the body to move.
The answer is D<|endoftext|> | 888 |
<|im_start|>user
What least number must be added to 1145, so that the sum is completely divisible by 23 ?
Answer Choices: (A) 2 (B) 3 (C) 4 (D) 5 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
50*23 = 1150
1150 - 1145 = 5
The answer is D<|endoftext|> | 17,804 |
<|im_start|>user
Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
Answer Choices: (A) 10 (B) 26 (C) 12 (D) 24 (E) 48<|im_end|>
<|im_start|>assistant
<think>
</think>
1/8 + 1/24 = 1/6
6 * 2 = 12
The answer is C<|e... | 42,594 |
<|im_start|>user
If x is 30 percent greater than 88, then x =
Answer Choices: (A) 68 (B) 70.4 (C) 86 (D) 114.4 (E) 108<|im_end|>
<|im_start|>assistant
<think>
</think>
x=88*1.3=114.4
So
The answer is D<|endoftext|> | 5,081 |
<|im_start|>user
The perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
Answer Choices: (A) 30 cm2 (B) 85 cm2 (C) 65 cm2 (D) 45 cm2 (E) 35 cm2<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of a triangle = r * s
Where r is the inradius and s is the se... | 19,477 |
<|im_start|>user
Robin is traveling from one end of a forest to the other. In order to find her way back, she is leaving morsels of bread in the following pattern: 2 morsels of GRAIN, 3 morsels of white, and 1 morsel of rye. The pattern repeats after she leaves the morsel of rye. If Robin drops 2,000 morsels of bread, ... | 40,605 |
<|im_start|>user
If f(1, 3) = 10 and f(1, 4) = 17, what is the value of f(1, 5)?
Answer Choices: (A) 107 (B) 127 (C) 147 (D) None of these (E) 26<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
The function f(a, b) = a3 + b2
f(1, 3) therefore is = 10 and
f(1, 4) = 13 + 62 =17.
Therefore, f(1, 5) = 1 + 25 =... | 2,830 |
<|im_start|>user
Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 180 feet in circumference.After how many minutes are the three of them together again?
Answer Choices: (A) 3 mins (B) 10 mins (C) 15 mins (D) 3 mins (E)... | 5,365 |
<|im_start|>user
If a number between 1 and 60 (inclusively) is chosen randomly, what are the odds that it is divisible by 5 or 8?
Answer Choices: (A) 1/4 (B) 7/30 (C) 17/60 (D) 3/10 (E) 4/15<|im_end|>
<|im_start|>assistant
<think>
</think>
P(5ᴜ8) = P(5) + P(8) - P(5∩8), where S denotes divisible by 5 and 8 denote... | 37,694 |
<|im_start|>user
The sum of four consecutive even integers is 1284. The greatest of them is:
Answer Choices: (A) 324 (B) 342 (C) 364 (D) 382 (E) none<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol.
Let the four integers be x, x + 2, x + 4 and x + 6
Then, x + (x + 2) + (x + 4) + (x + 6) = 1284 ⇔ 4x = 1272 ⇔ x = ... | 38,429 |
<|im_start|>user
3(1/2) + 5(1/5) + ? + 2(1/4) = 11(1/3)
Answer Choices: (A) 11/60 (B) 13/60 (C) 23/60 (D) 29/60 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
3(1/2) + 5(1/5) + ? + 2(1/4) = 11(1/3)
=> ? = 11(1/3) - [3(1/2) + 5(1/5) + 2(1/4)]
= 34/3 - [7/2 + 26/5 + 9/4]
= 34/3 - 219/20... | 93,790 |
<|im_start|>user
What is the sac-like organ at the end of the esophagus?
Answer choice: (A) stomach (B) rectum (C) larynx (D) appendix<|im_end|>
<|im_start|>assistant
<think>
</think>
The stomach is a sac-like organ at the end of the esophagus. It has thick muscular walls. The muscles contract and relax. This moves t... | 11,017 |
<|im_start|>user
In the formula X = 1/(2y+1)^2, if y is halved, then X is multiplied by
Answer Choices: (A) 25/9 (B) 25 (C) 1/9 (D) 1/25 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Say y=2 => X1 = 1/25
when y=1; X2 = 1/9
X2 = 25/9*X1.
The answer is A<|endoftext|> | 22,263 |
<|im_start|>user
One-sixth of the students at a nursery school are 5 years old or older. If 15 students have not yet reached their fourth birthday, and a total of 30 students are not between 4 years old and 5 years old, how many children are in the nursery school?
Answer Choices: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70<|im_... | 51,544 |
<|im_start|>user
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
Answer Choices: (A) 20% (B) 33.0% (C) 22% (D) 77% (E) 54%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
SP2 = 2/3 SP1
CP = 100
SP2 = 80
2/3 SP1 = 8... | 53,345 |
<|im_start|>user
The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 10, and k < m < r < s < t. If t is 20, what is the greatest possible value of the median of the 5 integers?
Answer Choices: (A) 16 (B) 18 (C) 13 (D) 20 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
We need to find... | 512 |
<|im_start|>user
A train 125 m long crosses a platform 125 m long in 14 sec; find the speed of the train?
Answer Choices: (A) 87 kmph (B) 64 kmph (C) 54 kmph (D) 16 kmph (E) 18 kmph<|im_end|>
<|im_start|>assistant
<think>
</think>
D = 125 + 125 = 250
T = 14
S = 250/14 * 18/5 = 64 kmph
The answer is B<|endoftext|> | 11,619 |
<|im_start|>user
An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 36 coaches are attached... | 94,276 |
<|im_start|>user
Find the L.C.M of 20,50,100
Answer Choices: (A) 400 (B) 200 (C) 600 (D) 800 (E) 1000<|im_end|>
<|im_start|>assistant
<think>
</think>
20=2^2*5 50=2*5^2 100=2^4*5^2
L.C.M=2^4*5^2=400
The answer is A<|endoftext|> | 69,197 |
<|im_start|>user
How many integers n greater than and less than 100 are there such that,if the digits of n are reversed, the resulting integer is n+9 ?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
(10x+y)=(10y+x)+9
=> 9x-9y=9
=> x-y=1
and only 8 numbers satisfy this c... | 2,426 |
<|im_start|>user
A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Answer Choices: (A) 56 (B) 78 (C) 27 (D) 79 (E) 50<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m
The answer is E<|e... | 8,506 |
<|im_start|>user
A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at $7.50. If the company’s latest order required a truck with at least 336,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
A... | 24,609 |
<|im_start|>user
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Answer Choices: (A) 10/21 (B) 11/21 (C) 2/7 (D) 5/7 (E) 6/7<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Total number of balls = (2 + 3 + 2) = ... | 14,648 |
<|im_start|>user
Ramu bought an old car for Rs. 48000. He spent Rs. 14000 on repairs and sold it for Rs. 72900. What is his profit percent?
Answer Choices: (A) 16% (B) 17.5% (C) 18.2% (D) 58.5% (E) 13%<|im_end|>
<|im_start|>assistant
<think>
</think>
Total CP = Rs. 48000 + Rs. 14000
= Rs. 62000 and SP = Rs. 72900
Pro... | 72,993 |
<|im_start|>user
A sum of money deposited at compound interest (compounded yearly) amounts to $4200 in 2 years and to $4494 in 3 years. What is the interest rate?
Answer Choices: (A) 3% (B) 5% (C) 7% (D) 9% (E) 11%<|im_end|>
<|im_start|>assistant
<think>
</think>
4494 - 4200 = 294
294 / 4200 = 0.07 = 7%
The answer is... | 18,525 |
<|im_start|>user
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 81^5?
Answer Choices: (A) 5 (B) 8 (C) 10 (D) 15 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
81 = 3*3*3*3= 3^4
81^5 =(3^4)^5
=3^20
we have to find the greatest positive integer value for x
wh... | 45,777 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Measurements are written with both a number and a unit. The unit comes after the number. The unit shows what the number means.
Volume is a measurement of how much space something takes up.
There are many different units of v... | 608 |
<|im_start|>user
Tough and Tricky questions: Absolute Values.
If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?
Answer Choices: (A) 3/5 (B) -3/5 (C) -1/5 (D) 2/3 (E) 1/5<|im_end|>
<|im_start|>assistant
<think>
</think>
|a| = 1/5
Absolute value of 'a' can have two values = 1/5 and -(1/5... | 5,940 |
<|im_start|>user
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Answer Choices: (A) 0 sq m (B) 7 sq m (C) 5 sq m (D) 4 sq m (E) 3 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
S = (1 + 2 + 3)/2 = 3
=> No triangle exists
The answer is A<|endoftext|> | 28,699 |
<|im_start|>user
What has a single voltage source and a single resistor
Answer choice: (A) complex circuit (B) simple circuit (C) pattern circuit (D) stuff circuit<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 20.8 shows the schematic for a simple circuit. A simple circuit has a single voltage source and a... | 10,613 |
<|im_start|>user
Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 40 miles apart. One and a half hours later, they are again 40 miles apart, driving away from each other. If Otto drives at a speed of x miles per hour, ... | 181 |
<|im_start|>user
The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer
Answer Choices: (A) 12 (B) 24 (C) 46 (D) 48 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
If we consider all pythago... | 20,518 |
<|im_start|>user
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Answer Choices: (A) 8 (B) 6 (C) 5 (D) 54 (E) 1<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed of train relative to m... | 28,700 |
<|im_start|>user
What is the least common multiple of 8,12,32,14
Answer Choices: (A) 672 (B) 682 (C) 328 (D) 964 (E) 285<|im_end|>
<|im_start|>assistant
<think>
</think>
The given numbers are 8,12,32,14
thus the l.c.m is 2*2*2*1*3*4*7=672
The answer is A<|endoftext|> | 42,893 |
<|im_start|>user
{1/(5+√24)}^2 =
Answer Choices: (A) a. 16+16√15 (B) b. 31- 8√15 (C) c. 31+ 10√15 (D) d. 49+10√24 (E) e. 32 + 4√15<|im_end|>
<|im_start|>assistant
<think>
</think>
=1 / (25 + 10 root24 + 24)
= 1 / (49 + 10 root24)
Multiply numeratordenominator by (49 -10 root24)
= (49 + 10root24)
The answer is D<|endo... | 59,491 |
<|im_start|>user
Amy's sells kale at x dollar per pound for the first 25 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
Answer Choices: (A) 24 (B)... | 85,908 |
<|im_start|>user
There are three foam generators in the factory, each of the first two can generate 14 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two ... | 75,345 |
<|im_start|>user
Jason flips a coin three times. What is the probability E that the coin will land on the same side in all three tosses?
Answer Choices: (A) 1/16 (B) 1/8 (C) 1/4 (D) 1/3 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
Total outcome is 2^3=8
Favorable cases HHH or TTT
Therefore, probability E ... | 47,142 |
<|im_start|>user
Insert the missing number. 2, 7, 10, 22, 18, 37, 26
Answer Choices: (A) 42 (B) 52 (C) 46 (D) 62 (E) 68<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
There are two series here
2, 10, 18, 26, ... (Increase by 8)
7, 22, 37, ... (Increase by 15)
Hence, next term is 37+15 = 52
The answer ... | 86,379 |
<|im_start|>user
If the product of two numbers is 45276 and their H.C.F. is 22, find their L.C.M.
Answer Choices: (A) 2574 (B) 2500 (C) 2100 (D) 2058 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
HCF * LCM = 45276, because we know
Product of two numbers = Product of HCF and LCM
LCM =... | 75,251 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
A simple sentence is a sentence with only one subject and predicate.
The pitcher threw the ball to first base.
A compound sentence is two simple sentences joined by a comma and a conjunction such as and, but, or, or so.
The ... | 6,221 |
<|im_start|>user
An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand Y gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand Y gasoline. At this time, what percent Q of the gasoline... | 92,885 |
<|im_start|>user
The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot?
Answer Choices: (A) 11 (B) 33 (C) 24 (D) 31 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
R/B = 3/8 and B =90
R ... | 48,330 |
<|im_start|>user
A cylinder is sliced by a plane to form the solid
shown. The base edge of the solid is a circle
of radius 3. The top edge is an ellipse. The
highest point on the ellipse is 6 units above the
base. The lowest point on the ellipse is 2 units
above the base. What is the volume, in cubic
units, of the soli... | 6,346 |
<|im_start|>user
Let exp(m,n) = m to the power n. If exp(10, m) = n exp(2, 2) where to and n are integers then n =
Answer Choices: (A) 27 (B) 272 (C) 98 (D) 25 (E) 72<|im_end|>
<|im_start|>assistant
<think>
</think>
Given 10m=n.2210m=n.22
⇒⇒ 2m×5m=n.22⇒2m−2×5m=n2m×5m=n.22⇒2m−2×5m=n
For m = 2 we get least value of n =... | 71,440 |
<|im_start|>user
Youseff lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. It is takes him exactly 14 minutes more to walk to work than to ride his bike to work, then x equals?
Answer Choices: (A) 4 (B) 7 (C) 10 (D) 15 (E) 21<|im_end|>
<|i... | 60,920 |
<|im_start|>user
A certain no. whendivided by 35leaves a remainder 25, what is the remainder if the same no.be dividedby 15?
Answer Choices: (A) 2 (B) 4 (C) 7 (D) 8 (E) 9<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
35 + 25 = 60/15 = 4 (Remainder)
B
The answer is B<|endoftext|> | 38,135 |
<|im_start|>user
Which of the following MUST yield an integer when divided by 11?
Answer Choices: (A) The sum of eleven consecutive positive integers. (B) The square of a prime number. (C) The sum of two odd integers. (D) The product of three consecutive odd numbers. (E) The difference between a multiple of 8 and a mul... | 97,152 |
<|im_start|>user
2 corner most boxes of a chess board(diagonally opposite) haven been cut out
there's a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ?”
Answer Choices: (A) 27 (B) 28 (C) 29 (D) 30 (E) 31<|im_end|>
<|im_start|>assistant
<think>
</think>
chess boar... | 19,455 |
<|im_start|>user
Find k if 64 ÷ k = 4.
Answer Choices: (A) 8 (B) 12 (C) 16 (D) 25 (E) 32<|im_end|>
<|im_start|>assistant
<think>
</think>
Since 64 ÷ k = 4 and 64 ÷ 16 = 4, then
k = 16
The answer is C<|endoftext|> | 43,896 |
<|im_start|>user
One hour before John started walking from P to Q, a distance of 38 miles, Ann had started walking along the same road from Q to P. Ann walked at a constant speed of 3 miles per hour and John at 2 miles per hour. How many miles had Ann walked when they met?
Answer Choices: (A) 6 miles (B) 8,4 miles (C) ... | 54,708 |
<|im_start|>user
A 20% product produces 50%. The market value of the product is:
Answer Choices: (A) Rs. 40 (B) Rs. 60 (C) Rs. 45 (D) Rs. 80 (E) Rs. 70<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the face value of the product is Rs.100
It produces Rs.20
Market value of the stock=(20/50)*100=Rs.40
The answer ... | 76,802 |
<|im_start|>user
If (a-6)(b-2) =0, which of the following must be true ?
I. a=6 and b=2
II. if a is not 6, then b=2
III. if a=6, then b is not=2
Answer Choices: (A) I only (B) II only (C) III only (D) I and II (E) II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
(a-6)(b-2)=0
So either a=6 or b=2 or both. I... | 50,946 |
<|im_start|>user
John went to the Hospital at the speed of 60 km per hour while returning for his home he covered the half of the distance at the speed of 10 per hour, but suddenly he realized that he was getting late so he increased the speed and reached the home by covering rest 1/2 of the distance at the speed of 30... | 27,264 |
<|im_start|>user
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
Answer Choices: (A) 15 (B) 14 (C) 18 (D) 19 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the average after the 16th inning be P.
So, the average after the... | 16,960 |
<|im_start|>user
6 friends are living in 6 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 6 parking spots. In how many ways can they park their cars so that exactly 4 people park their cars in the ... | 10,020 |
<|im_start|>user
A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country W. If calls to country W are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereaf... | 41,514 |
<|im_start|>user
What is root that does not arise from a usual place?
Answer choice: (A) momentous (B) monomers (C) hypochlorous (D) adventitious<|im_end|>
<|im_start|>assistant
<think>
</think>
the radicle is also growing and producing the primary root. As it grows downward to form the tap root, lateral roots branch... | 7,283 |
<|im_start|>user
A person travels equal distances with speeds of 7 km/hr, 8 km/hr and 9 km/hr and takes a total time of 47 minutes. The total distance is?
Answer Choices: (A) 6 km (B) 3 km (C) 7 km (D) 9 km (E) 2 km<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the total distance be 3x km.
Then, x/7 + x/8 + x/... | 49,485 |
<|im_start|>user
a ladder is 100 m long and distance between bottom of the ladder and wall is 60m.what is the maximum size of the cube that can be placed between the wall and the ladder.
Answer Choices: (A) 40 (B) 45 (C) 50 (D) 55 (E) 60<|im_end|>
<|im_start|>assistant
<think>
</think>
side of the cube is 40m
AB-WALL... | 86,549 |
<|im_start|>user
Each of seven different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
Answer Choices: (A) 1/8 (B) 1/6 (C) 1/49 (D) 3/8 (E) 1/2<|im_end|>
<|im_start|>assistant
<think>
</think>
I... | 1,580 |
<|im_start|>user
What does the blue color of the pulmonary arteries reflect?
Answer choice: (A) they are lost (B) they are oxygenated (C) they are deoxygenated (D) they are done<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 16.12 The arteries of the body, indicated in red, start at the aortic arch and branc... | 10,270 |
<|im_start|>user
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Answer Choices: (A) 3.34 sq m (B) 4.98 sq m (C) 2.88 sq m (D) 2.98 sq m (E) 2.56 sq m<|im_end|>
<|im_start|>assistant
<think>
</think>
Area of the path = Area of t... | 35,450 |
<|im_start|>user
A merchant purchased a jacket for $210 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross prof... | 26,103 |
<|im_start|>user
A certain country is divided into 4 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/12 the total number of Progressives in the entire country, what f... | 73,547 |
<|im_start|>user
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 10 years, son's age will be:
Answer Choices: (A) 12 years (B) 14 years (C) 18 years (D) 24 years (E) 26 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanat... | 25,610 |
<|im_start|>user
If Nancy's income is Rs 17000, calculate his savings given that his income and expenditure are in the ratio 5:3.?
Answer Choices: (A) Rs.3800 (B) Rs.1800 (C) Rs.6800 (D) Rs.7800 (E) Rs.2800<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the income and the expenditure of the person be Rs.5x and ... | 48,135 |
<|im_start|>user
What is the units digit of (3^5)(4^13)?
Answer Choices: (A) 2 (B) 4 (C) 6 (D) 7 (E) 8<|im_end|>
<|im_start|>assistant
<think>
</think>
-> The ones place of (~3)^n repeats after 4 times like 39713.
The ones place of (~4)^n repeats after 2 times like 464.
Then, 3^5=3^4*1+13^1.,
4^13=4^2*6+1=4^1=... | 81,406 |
<|im_start|>user
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Answer Choices: (A) 648 (B) 1800 (C) 2700 (D) 10800 (E) 948<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the requi... | 24,366 |
<|im_start|>user
The product of three consecutive numbers is 990. Then the sum of the smallest two numbers is ?
Answer Choices: (A) 11 (B) 15 (C) 19 (D) 38 (E) 56<|im_end|>
<|im_start|>assistant
<think>
</think>
Product of three numbers = 990
990 = 9*10*11.
So, the three numbers are 9, 10 and 11.
And Sum of smallest ... | 69,508 |
<|im_start|>user
Each shelf of a bookcase contained 11 books. If the librarian took out 32 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 3 books, how many shelves does the bookcase have?
Answer Choices: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9<|im_end... | 82,993 |
<|im_start|>user
A and B complete a work in 4 days. A alone can do it in 8 days. If both together can do the work in how many days?
Answer Choices: (A) 3.75 days (B) 3.99 days (C) 2.67 days (D) 2.98 days (E) 2.44 days<|im_end|>
<|im_start|>assistant
<think>
</think>
1/4 + 1/8 = 3/8
8/3 = 2.67 days
The answer is C<|en... | 76,698 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Every object is made of one or more materials. A material is a type of matter. Wood, glass, metal, and plastic are common materials.
A material has different properties. A material's properties tell you how it looks, feels, ... | 2,663 |
<|im_start|>user
What is the term for the breakdown of unstable isotopes into stable elements?
Answer choice: (A) radioactive decay (B) isotopic decay (C) radioactive decrease (D) secondary decay<|im_end|>
<|im_start|>assistant
<think>
</think>
Radioactive decay is the breakdown of unstable isotopes into stable eleme... | 10,550 |
<|im_start|>user
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 60%, and reduce the price it charges its consumers by 60% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay f... | 12,899 |
<|im_start|>user
In a kickball competition of 9 teams, how many possible matches can each team play with each other?
Answer Choices: (A) 9 (B) 16 (C) 24 (D) 36 (E) 54<|im_end|>
<|im_start|>assistant
<think>
</think>
Each team can play with each other in 9C2 ways
9C2 = 9*8 / 1*2 = 36
Option D
The answer is D<|endoftex... | 15,936 |
<|im_start|>user
Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as... | 27,090 |
<|im_start|>user
The sum of two numbers is 40 and their product is 375. What will be the sum of their reciprocals?
Answer Choices: (A) 1/40 (B) 8/75 (C) 75/4 (D) 75/8 (E) 75/6<|im_end|>
<|im_start|>assistant
<think>
</think>
(1/a)+(1/b)=(a+b)/ab=40/375=8/75
The answer is B<|endoftext|> | 56,881 |
<|im_start|>user
The fuel that burns in a combustion reaction in many fossil fuels such as natural gas that consists of carbon hydrogen is known as what?
Answer choice: (A) helium (B) catalyst (C) fossil (D) hydrocarbon<|im_end|>
<|im_start|>assistant
<think>
</think>
The fuel that burns in a combustion reaction is o... | 5,516 |
<|im_start|>user
What group of single-celled organisms lacking a nucleus comprises the most numerous organisms on earth?
Answer choice: (A) eukaryotes (B) prokaryotes (C) carbohydrates (D) fungi<|im_end|>
<|im_start|>assistant
<think>
</think>
No doubt you’ve had a sore throat before, and you’ve probably eaten cheese... | 5,700 |
<|im_start|>user
Bobby bought 2 shares, and which he sold for $96 each. If he had a profit of 80% on the sale of one of the shares but a loss of 80% on the sale of the other share, then on the sale of both shares Bobby had...
Answer Choices: (A) a profit of 10 (B) a profit of 8 (C) a loss of 800 (D) a loss of 342 (E) n... | 70,608 |
<|im_start|>user
After a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 80% full. If the original contents of the reservoir totaled 200 billion gallons, the reservoir was approximately what percentage full before the storm?
Answer Choices: (A) 45% (B) 48% (C) 50% (D) 58% (E) 65%<|... | 83,525 |
<|im_start|>user
Anne bought a computer for $2,000 and then paid a 5 percent sales tax, and Henry bought a computer for $1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?
Answer Choices: (A)... | 5,069 |
<|im_start|>user
A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price?
Answer Choices: (A) 28% (B) 72% (C) 12% (D) 82% (E) 16%<|im_end|>
<|im_start|>assistant
<think>
</think>
Original price = 100
... | 53,815 |
<|im_start|>user
The voltages generated at a power plant are stepped up by what passive devices, which then reduce voltage to a safe level at the point of use?
Answer choice: (A) transistors (B) batteries (C) capacitors (D) transformers<|im_end|>
<|im_start|>assistant
<think>
</think>
Figure 20.19 Power is distribute... | 5,425 |
<|im_start|>user
The sector of a circle has radius of 18 cm and central angle 135o. Find its perimeter?
Answer Choices: (A) 78.4 cm (B) 11.5 cm (C) 91.8 cm (D) 92.5 cm (E) 99.5 cm<|im_end|>
<|im_start|>assistant
<think>
</think>
Perimeter of the sector = length of the arc + 2(radius)
= (135/360 * 2 * 22/7 * 18) + 2(1... | 68,739 |
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