text stringlengths 148 4.25k | __index_level_0__ int64 0 97.5k |
|---|---|
<|im_start|>user
Tom read a book containing 1000 pages by reading the same number of pages each day. If he would have finished the book 5 days earlier by reading 15 pages a day more, how many days did Tom spend reading the book?
Answer Choices: (A) 20 (B) 18 (C) 16 (D) 15 (E) 15.39<|im_end|>
<|im_start|>assistant
<thin... | 52,511 |
<|im_start|>user
During what do homologous chromosomes separate and go to different daughter cells?
Answer choice: (A) birth (B) mitosis (C) electrolysis (D) meiosis<|im_end|>
<|im_start|>assistant
<think>
</think>
Overview of Meiosis. During meiosis, homologous chromosomes separate and go to different daughter cells... | 6,042 |
<|im_start|>user
Mahesh visited his cousin Akash during the summer vacation. In the mornings, they both would go for swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e. either they went swimming or played tennis each day. There were days when they took rest and sta... | 14,469 |
<|im_start|>user
The original price of a camera was displayed as a whole dollar amount. After adding sales tax of 8 percent, the final price was also a whole dollar amount. Which of the following could be the final price of the camera?
Answer Choices: (A) $115 (B) $101 (C) $100 (D) $108 (E) $109<|im_end|>
<|im_start|>a... | 6,949 |
<|im_start|>user
How much 70% of 100 is greater than 60% of 80?
Answer Choices: (A) 18 (B) 99 (C) 22 (D) 26 (E) 71<|im_end|>
<|im_start|>assistant
<think>
</think>
(70/100) * 100 – (60/100) * 80
70- 48 = 22
The answer is C<|endoftext|> | 53,906 |
<|im_start|>user
Last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 22,000 tickets per day on Saturday and Sunday. Which of the following is closest to the total number of tickets sold last year?
Answer Choi... | 92,480 |
<|im_start|>user
If 6<x<10<y<17, then what is the greatest possible positive integer difference of x and y?
Answer Choices: (A) 3 (B) 4 (C) 10 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let x=6.1 and y=16.1
Greatest possible difference=16.1-6.1=10
The answer is C<|endoftext|> | 39,796 |
<|im_start|>user
A man can do a piece of work in 15 days, but with the help of his son, he can do it in 6 days. In what time can the son do it alone?
Answer Choices: (A) 13 (B) 9 (C) 15 (D) 8 (E) 10<|im_end|>
<|im_start|>assistant
<think>
</think>
Son's 1day's work = (1/6)-(1/15) = 3/30= 1/10
The son alone can do the... | 596 |
<|im_start|>user
John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount E of dollars he could have spent for the $12 tickets?
Answer Choices: (A) $48 (B) $60 (C) $84 (D) $96 (E) $120<|im_end|>
<|im_start|>assistant
<think... | 32,937 |
<|im_start|>user
A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the car... | 32,307 |
<|im_start|>user
If |x – 9/2| = 5/2, and if y is the median of a set of p consecutive integers, where p is odd, which of the following must be true?
I. xyp is odd
II. xy(p^2 + p) is even
III. x^2y^2p^2 is even
Answer Choices: (A) II only (B) III only (C) I and III (D) II and III (E) I, II, and III<|im_end|>
<|im_start|... | 70,913 |
<|im_start|>user
Arnold and Danny are two twin brothers that are celebrating their birthday. The product of their ages today is smaller by 5 from the product of their ages a year from today. What is their age today?
Answer Choices: (A) 2. (B) 4. (C) 5. (D) 7. (E) 9.<|im_end|>
<|im_start|>assistant
<think>
</think>
ad... | 71,220 |
<|im_start|>user
If Sharon's weekly salary increased by 16 percent, she would earn $348 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Answer Choices: (A) $374 (B) $330 (C) $385 (D) $392 (E) $399<|im_end|>
<|im_start|>assistant
<think>
</think>
(348/116)... | 42,207 |
<|im_start|>user
If a quarter kg of potato costs 60 paise, how many paise will 200gm cost ?
Answer Choices: (A) 45 paise (B) 46 paise (C) 47 paise (D) 48 paise (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Quarter of Kg means 250 gm
Less weight, less price (Direct Proportion)
So,
250... | 52,625 |
<|im_start|>user
The difference of 2 digit no. & the no. obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
Answer Choices: (A) 6 (B) 8 (C) 10 (D) 12 (E) 13<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the number be ... | 29,957 |
<|im_start|>user
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have... | 6,518 |
<|im_start|>user
If December 3rd, 1999 is a Friday, what day is January 4th, 2000?
Answer Choices: (A) Tuesday (B) Wednesday (C) Friday (D) Saturday (E) Sunday<|im_end|>
<|im_start|>assistant
<think>
</think>
There is difference of 32 days from Dec. 3rd 1999 to Jan. 4th 2000.
32/7 has a remainder of 4.
Jan. 4th is: F... | 22,916 |
<|im_start|>user
When positive integer x is divided by positive integer y, the remainder is 8. If x/y = 76.4, what is the value of y?
Answer Choices: (A) 20 (B) 22 (C) 23 (D) 24 (E) 25<|im_end|>
<|im_start|>assistant
<think>
</think>
When positive integer x is divided by positive integer y, the remainder is 8 --> x=q... | 46,824 |
<|im_start|>user
A ship went on a voyage after 180 miles a plane statrted with 10 times speed that of the ship.Find the distance when they meet from starting point.
Answer Choices: (A) 200 miles (B) 179 miles (C) 146 miles (D) 149 miles (E) 143 miles<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the distance t... | 93,094 |
<|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.
Mass is a measurement of how much matter something contains.
There are many different units of ma... | 583 |
<|im_start|>user
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 110 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Answer Choices: (A) 19 sec (B) 87 sec (C) 36 sec (D) 16 sec (E) 35 sec<|im_end|>
<|im_start|>assistant
<t... | 34,959 |
<|im_start|>user
Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
Answer Choices: (A) 5/12 (B) 4/13 (C) 5/17 (D) 3/12 (E) 8/9<|im_end|>
<|im_start|>assistant
<think>
</think>
Using question number 11 and 12, we get the probability as
1 - (1/36 + 5/9) = 5... | 47,383 |
<|im_start|>user
By selling 175 apples, a shopkeeper gains the price of 25 apples. His gain per cent is
Answer Choices: (A) 18.66% (B) 17.66% (C) 16.66% (D) 15.66% (E) 14.66%<|im_end|>
<|im_start|>assistant
<think>
</think>
Suppose S.P of 175 apples = Rs 175
Therefore, Gain = Rs 25 => C.P = Rs 150
Gain % = 25/150 x 1... | 11,557 |
<|im_start|>user
What is formed when sperm mixes with secretions from the various other glands of the reproductive system?
Answer choice: (A) testosterone (B) urine (C) hormone (D) semen<|im_end|>
<|im_start|>assistant
<think>
</think>
Sperm leave the epididymis through the vas deferens. As they travel through the va... | 9,088 |
<|im_start|>user
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
Answer Choices: (A) I only (B) I and II only (C) III only (D) I and III only (E) I, II and III<|im_end|>
<|im_start|>assistant
<think>
</think>
I. x^3 < x^2 --> for values greater than 1 x^3 > x^2, so this s... | 32,471 |
<|im_start|>user
An old priest fell on a bottom of the well of a church.
The well is 19 inches deep.
At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches.
In how many days priest will come out of the well ?
Answer Choices: (A) 15-days (B) 14-days (C) 11-days (D) 19-days (E) 10-days<|im_end... | 37,112 |
<|im_start|>user
Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A compute... | 58,435 |
<|im_start|>user
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 30 per cent. The two reductions together are equal to a single reduction of
Answer Choices: (A) 45% (B) 47.5% (C) 35% (D) 32.5% (E) 30%<|im_end|>
<|im_start|>assistant
<think>
</think>
Price = p
initially price redu... | 35,727 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Question:
The Fifth Amendment talks about the rights of people who are accused of crimes. For example, it says that a person cannot be put on trial for the same crime more than once. Which is another right protected by the... | 3,650 |
<|im_start|>user
Ratio between Rahul and Deepak is 4:3, After 4 Years Rahul age will be 32 years. What is Deepak present age.
Answer Choices: (A) 14 (B) 15 (C) 20 (D) 21 (E) 24<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
Present age is 4x and 3x,
=> 4x + 4 = 32 => x = 7
So Deepak age is = 3(7) = 21
... | 68,670 |
<|im_start|>user
The cytoplasm divides during what process?
Answer choice: (A) cytokinesis (B) metamorphosis (C) osmosis (D) genesys<|im_end|>
<|im_start|>assistant
<think>
</think>
During mitosis , the nucleus divides as the chromosomes are equally separated. One nucleus becomes two nuclei, each with an identical se... | 4,664 |
<|im_start|>user
If x and y are positive integers, and x^3*y^4 = 2,000, which of the following is the value of xy?
Answer Choices: (A) 2 (B) 4 (C) 8 (D) 10 (E) 20<|im_end|>
<|im_start|>assistant
<think>
</think>
x^3y^4 = (xy)^3 * y = 2000
a. if xy = 2 => 2^3 = 8, can't find y
b. xy = 4 (same as above)
c. xy = 8, 8^3 ... | 46,652 |
<|im_start|>user
The average of 9 numbers is 7 and the average of 7 other numbers is 10. What is the average of all 16 numbers?
Answer Choices: (A) 9 (B) 8 5/16 (C) 7 7⁄8 (D) 7 1⁄2 (E) 7 1⁄4<|im_end|>
<|im_start|>assistant
<think>
</think>
The average of 9 numbers is 7....
The sum of those numbers is (9)(7) = 63.
The... | 90,851 |
<|im_start|>user
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
Answer Choices: (A) 21/112 (B) 36/145 (C) 3/115 (D) 2/115 (E) 3/116<|im_end|>
<|im_start|>assistant
<think>
</think>
The probability that first ball is white:
=... | 73,324 |
<|im_start|>user
After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.4 cubic inches, what is the original volume of the cubic ice, in cubic inches?
Answer Choices: (A) 2.5 (B) 3.0 (C) 4.0 (D) 6.4 (E) 8.0<|im_end|>... | 71,854 |
<|im_start|>user
A man bought 40 shares of Rs. 80 at 5 discount, the rate of dividend being 12 1/2%The rate of interest obtained is
Answer Choices: (A) 13.33% (B) 15.5% (C) 14% (D) 14.25% (E) 14.95%<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Face Value of a share = Rs.80
He bought each share at Rs... | 38,177 |
<|im_start|>user
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
Answer Choices: (A) 12a.m (B) 10a.m (C) 19a.m (D) 76a.m (E) 37a.m<|im_end|>
<|im_start|>assis... | 587 |
<|im_start|>user
For any integer m greater than 1, $m denotes the product of all the integers from 1 to m, inclusive. How many prime numbers are there between $7 + 2 and $7 + 10, inclusive?
Answer Choices: (A) None (B) One (C) Two (D) Three (E) Four<|im_end|>
<|im_start|>assistant
<think>
</think>
$ is basically a fa... | 94,012 |
<|im_start|>user
How many 6 letter words ( with or without meaning) can be formed using all the following 5 lettersV, P,Q,R,S,and T so that letter P is to the left of letter R?
Answer Choices: (A) 320 (B) 300 (C) 400 (D) 480 (E) 360<|im_end|>
<|im_start|>assistant
<think>
</think>
Two positions can be selected out of... | 19,604 |
<|im_start|>user
How many times are the hands of a clock at right angle in a day?
Answer Choices: (A) 44 (B) 21 (C) 22 (D) 41 (E) 40<|im_end|>
<|im_start|>assistant
<think>
</think>
A
44
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.
The answer is A<|endoftext|> | 88,635 |
<|im_start|>user
Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 12x + 3 = 0?
Answer Choices: (A) 6 (B) 7 (C) 23 (D) 17 (E) 42<|im_end|>
<|im_start|>assistant
<think>
</think>
a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab
= [(a + b)2 - 2ab]/ab
a + b = -12/1 = -12
ab = 3/1 = 3
He... | 57,156 |
<|im_start|>user
If x = 6^36 and x^x = 6^k, what is k?
Answer Choices: (A) 6^36 (B) 6^38 (C) 6^72 (D) 6^216 (E) 6^432<|im_end|>
<|im_start|>assistant
<think>
</think>
Solution:
We know that x=6^36
which implies x^x = (6^36)^(6^36) = 6^(36 * 6^36) [because (x^y)^z = x^(y*z))]
so 6^(6^2 * 6^36) = 6^(6^(2+36)) [because ... | 33,966 |
<|im_start|>user
Liquid water changing to water vapor is called?
Answer choice: (A) oxidation (B) respiration (C) evaporation (D) transpiration<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is C<|endoftext|> | 1,894 |
<|im_start|>user
What will be the difference between simple and compound interest at 12% per annum on a sum of Rs. 1000 after 4 years?
Answer Choices: (A) 94.19 (B) 94.12 (C) 93.5 (D) 64.1 (E) 64.11<|im_end|>
<|im_start|>assistant
<think>
</think>
S.I. = (1000 * 12 * 4)/100 = Rs. 480
C.I. = [1000 * (1 + 12/100)4 - 10... | 75,708 |
<|im_start|>user
A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 410 m long?
Answer Choices: (A) 33 Seconds (B) 22 Seconds (C) 41 Seconds (D) 24 Seconds (E) 29 Seconds<|im_end|>
<|im_start|>assistant
<think>
</think>
Distance travelled = 140 + 410m = 550m
Speed = 60 * 5/8 = 5... | 27,833 |
<|im_start|>user
At present the ratio between the ages of Arun and Deepak is 2:3. After 5years, Arun's age will be 25 years. What is the age of Deepak at present?
Answer Choices: (A) 20 years (B) 30 years (C) 15 years (D) 25 years (E) 28 years<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the present ages of A... | 21,490 |
<|im_start|>user
Competition is a relationship between organisms that depend on the same resources. the resources might be food, water, or what?
Answer choice: (A) thought (B) space (C) language (D) time<|im_end|>
<|im_start|>assistant
<think>
</think>
Competition is a relationship between organisms that depend on th... | 899 |
<|im_start|>user
Suppose you flip a fair coin four times. What is the probability that, in four flips, you get at least one head?
Answer Choices: (A) 13/16 (B) 7/16 (C) 15/16 (D) 21/16 (E) 19/16<|im_end|>
<|im_start|>assistant
<think>
</think>
Best way of solving an at least 1 type of question is to compute 1 - proba... | 19,793 |
<|im_start|>user
What process takes place when echinoderms release their gametes into the water?
Answer choice: (A) migration (B) stimulation (C) isolation (D) fertilization<|im_end|>
<|im_start|>assistant
<think>
</think>
The echinoderm nervous system has a nerve ring at the center and five radial nerves extending o... | 1,822 |
<|im_start|>user
a and b are positive integers less than or equal to 8. If a and b are assembled into the six-digit number ababab, which of the following must be a factor of ababab?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) none of the above<|im_end|>
<|im_start|>assistant
<think>
</think>
484848 when divided by 4 ... | 45,637 |
<|im_start|>user
A watch was sold at a loss of 10%. If it was sold for Rs.210 more, there would have been a gain of 4%. What is the cost price?
Answer Choices: (A) s.1000 (B) s.1009 (C) s.1007 (D) s.1006 (E) s.1500<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
90%
104%
--------
14% ---- 210
100% ---- ... | 13,613 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Organisms, including people, have both inherited and acquired traits. Inherited and acquired traits are gained in different ways.
Inherited traits are passed down through families. Children gain these traits from their paren... | 6,047 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Matter is made of very small particles called atoms. Atoms can be linked together by chemical bonds. When two or more atoms link together, they form a molecule.
In a chemical change, the chemical bonds in the molecules break... | 1,484 |
<|im_start|>user
The present worth of Rs. 1404 due in two equal half-yearly installments at 8% per annum simple interest is:
Answer Choices: (A) Rs. 1325 (B) Rs. 1300 (C) Rs. 1350 (D) Rs. 1500 (E) Rs. 1600<|im_end|>
<|im_start|>assistant
<think>
</think>
time=1/2yr
r=8%
let pw=x
si=1404-x
x*1/2*8/100=1404-x.(ref prob... | 75,002 |
<|im_start|>user
Which of the following is the full form of the term SLR as used in the banking sector?
Answer Choices: (A) Social Lending Ratio (B) Statutory Liquidity Ratio (C) Scheduled Liquidity Rate (D) Separate Lending Rate (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
The answer is B<|endo... | 58,954 |
<|im_start|>user
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 17 terms of the arithmetic progression?
Answer Choices: (A) 300 (B) 120 (C) 150 (D) 170 (E) 270<|im_end|>
<|im_start|>assistant
<think>
</think>
n th term of A.P. is given by a+(n-1)d
4 th term = a... | 85,475 |
<|im_start|>user
Difference between the length &breadth of a rectangle is 30 m. If its perimeter is 300 m, then its area is?? We have: (l - b) = 30 and 2(l + b) = 300 or (l + b) = 150?
Answer Choices: (A) 5425 m^2 (B) 5250 m^2 (C) 5300 m^2 (D) 5200 m^2 (E) 5400 m^2<|im_end|>
<|im_start|>assistant
<think>
</think>
Sol... | 16,022 |
<|im_start|>user
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective?
Answer Choices: (A) 1/126 (B) 1/129 (C) 1/122 (D) 1/124 (E) 1/123<|im_end|>
<|im_start|>assistant
<think>
</think>
Out of nine, five are good and fou... | 20,214 |
<|im_start|>user
Acids are the opposites of what?
Answer choice: (A) water (B) solids (C) bases (D) gas<|im_end|>
<|im_start|>assistant
<think>
</think>
Acids and bases have had many uses throughout history. In this chapter we want to explore the properties of acids and bases and the reactions in which they take part... | 5,348 |
<|im_start|>user
The body's second line of defense against pathogens includes which response?
Answer choice: (A) reaction (B) anxiety (C) blood (D) inflammatory<|im_end|>
<|im_start|>assistant
<think>
</think>
The body's second line of defense against pathogens includes the inflammatory response. If bacteria enter th... | 11,341 |
<|im_start|>user
A can complete a project in 20 days and B can complete the same project in 40 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Answer Choices: (A) 18 days (B) 20 days (C) 26.67 days (D) 16 days (E... | 45,939 |
<|im_start|>user
If a man lost 8% by selling oranges at the rate of 25 a rupee at how many a rupee must he sell them to gain 25%?
Answer Choices: (A) 20 (B) 15 (C) 18.4 (D) 20 (E) 12.8<|im_end|>
<|im_start|>assistant
<think>
</think>
92% ---- 25
125% ---- ?
92/125* 25 = 18.4
The answer is C<|endoftext|> | 52,267 |
<|im_start|>user
In a car dealership, they buy cars for Rs.320000 and takes a profit of Rs. 25000. What is the % of profit dealership is making per car?
Answer Choices: (A) 9.4% (B) 11.6% (C) 7.8% (D) 10.2% (E) 6.6%<|im_end|>
<|im_start|>assistant
<think>
</think>
The profit % per car=(25000/320000)*100=7.8%
The answ... | 68,654 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
When writing, make sure to avoid vague pronoun references. A vague pronoun reference occurs when a pronoun could refer to more than one possible antecedent.
When Lisa and Kim finally landed, she breathed a sigh of relief.
Th... | 5,638 |
<|im_start|>user
Who should an obese person with an eating disorder seek for help?
Answer choice: (A) psychiatrist (B) health professional (C) body builder (D) social worker<|im_end|>
<|im_start|>assistant
<think>
</think>
Some people who are obese have an eating disorder. Eating disorders are mental illnesses that r... | 6,189 |
<|im_start|>user
Cost of 16 mirror and 8 comb is Rs.368 and the cost of 4 mirror and 4 comb is Rs.96. Find the cost of each mirror?
Answer Choices: (A) 10 (B) 12 (C) 20 (D) 21 (E) 22<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the cost of each pen and pencil be 'p' and 'q' respectively.
16m + 8c = 368 --- (1... | 51,358 |
<|im_start|>user
Kamal is 60 years old and Karthi is 80 years old. How many years ago was the ratio of their ages 4 : 6?
Answer Choices: (A) 20 yrs (B) 30 yrs (C) 25 yrs (D) 40 yrs (E) 15 yrs<|im_end|>
<|im_start|>assistant
<think>
</think>
(60-x)/(80-x) = 4/6
6(60-x)=4(80-x)
x = 20
The answer is A<|endoftext|> | 64,212 |
<|im_start|>user
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Answer Choices: (A) 3887 (B) 2689 (C) 2678 (D) 4530 (E... | 1,503 |
<|im_start|>user
What will be the compound interest on Rs. 50000 after 3 years at the rate of 12 % per annum
Answer Choices: (A) Rs 20123.20 (B) Rs 20246.4 (C) Rs 20123.40 (D) Rs 20123.50 (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation:
(50000×(1+12/100)3)
=>50000×28/25×28/25×28/25
=>70... | 55,585 |
<|im_start|>user
Three seventh of a number is 12 more than 40% of that number. What will be the 10% of that number?
Answer Choices: (A) A) 148 (B) B) 210 (C) C) 21 (D) D) 248 (E) E) 258<|im_end|>
<|im_start|>assistant
<think>
</think>
3/7 x – 40/100 x = 12
x = 35 * 12
35 * 12 * 10/100 = 42/2 = 21
The answer is C<|end... | 3,289 |
<|im_start|>user
In a series of six consecutive odd numbers, the sum of the third and fifth numbers is 50. What are the third and fifth number respectively?
Answer Choices: (A) 27,31 (B) 31,35 (C) 21,25 (D) 23,27 (E) 25,29<|im_end|>
<|im_start|>assistant
<think>
</think>
Let the numbers be x, x + 1, x + 3, x + 5 and ... | 82,117 |
<|im_start|>user
The integer W has a tens digit of 6 and a units digit of 7. The units digit of integer y is 8. The product of W and y has a tens digit of 8. Which of the following is a possible tens digit of integer y?
Answer Choices: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Let... | 82,212 |
<|im_start|>user
A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Answer Choices: (A) 17% (B) 77% (C) 44% (D) 16% (E) 69%<|im_end|>
<|im_start|>assistant
<think>
</think>
g% = 30 + 30 + (30*30)/100
= 69%
... | 95,762 |
<|im_start|>user
Find the value of x in the sequence of numbers 5,1,6,0,4,8,x,2 if the sum of the first 7 numbers is 30 and the average is 4.
Answer Choices: (A) 4 (B) 9 (C) 8 (D) 6 (E) 7<|im_end|>
<|im_start|>assistant
<think>
</think>
Given 5+1+6+0+4+8+x =30 (36+6)/7 =6
The answer is D<|endoftext|> | 970 |
<|im_start|>user
A bike covers a certain distance at the speed of 65km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel?
Answer Choices: (A) 85 km/h (B) 85.34 km/h (C) 86.66 km/h (D) 90.25 km/h (E) 90.64 km/h<|im_end|>
<|im_start|>assistant
... | 56,894 |
<|im_start|>user
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Answer Choices: (A) 157.56 (B) 157.51 (C) 157.5 (D) 157.59 (E) 157.52<|im_end|>
<|im_start|>assistant
<think>
</think>
(3500*1.5*3)/100 => 157.50.
The answer is C<|e... | 51,039 |
<|im_start|>user
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $234 million, which represented 6 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
Answer Choices: (A) 17,010 (B) 2,100 (C) 3,900 (... | 47,407 |
<|im_start|>user
An article is bought for Rs.575 and sold for Rs.675, find the gain percent?
Answer Choices: (A) 17.39% (B) 33 1/6% (C) 33 1/3% (D) 38 1/3% (E) 33 2/3%<|im_end|>
<|im_start|>assistant
<think>
</think>
575 ---- 100
100 ---- ? => 17.39%
The answer is A<|endoftext|> | 30,510 |
<|im_start|>user
A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
Answer Choices: (A) 1:3 (B) 4:3 (C) 2:3 (D) 2:1 (E) 3:1<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Work done by 2... | 17,146 |
<|im_start|>user
There are 25 doors marked with numbers 1 to 25. And there are 25 individuals marked 1 to 25.
An operation on a door is defined as changing the status of the door from open to closed or vice versa. All doors are closed to start with.
Now one at a time one randomly picked individual goes and operates the... | 71,335 |
<|im_start|>user
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Answer Choices: (A) 299 (B) 277 (C) 240 (D) 88 (E) 112<|im_end|>
<|im_start|>assistant
<think>
</think>
Speed = [54 * 5/18] m/se... | 51,065 |
<|im_start|>user
What make distant objects appear both nearer and larger?
Answer choice: (A) astrolabes (B) mirrors (C) lasers (D) telescopes<|im_end|>
<|im_start|>assistant
<think>
</think>
Telescopes make distant objects appear both nearer and larger. You can see many more stars through a telescope than with the un... | 2,321 |
<|im_start|>user
The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
Answer Choices: (A) 50 (B) 60 (C) 80 (D) 100... | 96,368 |
<|im_start|>user
A rectangular with dimensions 35 inches by 45 inches is to be divided into squares of equal size. Which of the following could be a length of a side of the squares?
Answer Choices: (A) a) 4 inches (B) b) 6 inches (C) c) 5 inches (D) d) 8 inches (E) e) 10 inches<|im_end|>
<|im_start|>assistant
<thi... | 22,581 |
<|im_start|>user
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Answer Choices: (A) 6400 (B) 6410 (C) 6440 (D) 6500 (E) 6800<|im_end|>
<|im_start|>assistant
<think>
</think>
Number of bricks = Volume of Wall/Volume of Bricks
=800x600x22.5/21x11.25x6= = ... | 12,691 |
<|im_start|>user
If the first day of a year (other than leap year) was Friday, then which was the last day of that year?
Answer Choices: (A) Saturday (B) Friday (C) Tuesday (D) Monday (E) None of these<|im_end|>
<|im_start|>assistant
<think>
</think>
Explanation :
Given that first day of a normal year was Friday
Odd ... | 69,021 |
<|im_start|>user
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
Answer Choices: (A) 23/35 (B) 23/38 (C) 23/15 (D) 22/35 (E) 21/35<|im_end|>
<|im_start|>assistant
<think>
</think>
Given that there are t... | 2,045 |
<|im_start|>user
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
Answer Choices: (A) 2C7 * 10C6 (B) 2C7 * 17C5 (C) 2C7 * 10C5 (D) 2C9 * 10C5 (E) 2C7 * 30C5<|im_end|>
<|im_start|>assistant
<... | 76,297 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
An object's speed tells you how fast the object is moving. Speed depends on both distance and time.
Distance tells you how far the object has moved. One unit used to measure distance is the mile.
Time tells you how long the ... | 4,134 |
<|im_start|>user
Which electromagnetic waves are the most energetic of all electromagnetic waves?
Answer choice: (A) gamma rays (B) sunlight rays (C) plasma rays (D) ultraviolet rays<|im_end|>
<|im_start|>assistant
<think>
</think>
Gamma rays are electromagnetic waves that carry photons of energy called gamma particl... | 1,576 |
<|im_start|>user
Find the amount on Rs.5000 in 2 years, the rate of interest being 20% per first year and 25% for the second year?
Answer Choices: (A) 3377 (B) 2678 (C) 5460 (D) 7500 (E) 1671<|im_end|>
<|im_start|>assistant
<think>
</think>
5000 * 120/100 * 125/100 => 7500
The answer is D<|endoftext|> | 90,547 |
<|im_start|>user
If x is 20 percent more than y and y is 30 percent less than z, then x is what percent of z?
Answer Choices: (A) 500% (B) 250% (C) 500/3% (D) 84% (E) 60%<|im_end|>
<|im_start|>assistant
<think>
</think>
Z = 100 ; Y = 70 so X = 84
X as % of Z = 84/100 * 100 => 84%
The answer is D<|endoftext|> | 46,971 |
<|im_start|>user
A man can hit the target once in four shots. If he fires two shots in succession, what is the probability that he will hit the target?
Answer Choices: (A) 7/16 (B) 1/256 (C) 81/256 (D) 175/256 (E) 185/256<|im_end|>
<|im_start|>assistant
<think>
</think>
In two shots he can hit once,all hit
the probab... | 13,072 |
<|im_start|>user
Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 30% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of
Answer Choice... | 55,202 |
<|im_start|>user
Use the following context to help answer a multiple choice question.
Context:
Experiments can be designed to answer specific questions. When designing an experiment, you must identify the supplies that are necessary to answer your question. In order to do this, you need to figure out what will be test... | 2,612 |
<|im_start|>user
When positive integer x is divided by positive integer y, the remainder is 5. If x/y = 96.2, what is the value of y?
Answer Choices: (A) 96 (B) 75 (C) 48 (D) 25 (E) 12<|im_end|>
<|im_start|>assistant
<think>
</think>
Guys, one more simple funda.
5/2= 2.5
now .5 x2 =1 is the remainder
25/4 = 6.25
now ... | 32,485 |
<|im_start|>user
Four hundred students at College Q study a foreign language. Of these, 190 of those students study French, and 260 study Spanish. If at least 105 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 an... | 70,574 |
<|im_start|>user
A book is bought for $60 and sold for $63. What is the profit in percentage?
Answer Choices: (A) 3 (B) 5 (C) 7 (D) 9 (E) 11<|im_end|>
<|im_start|>assistant
<think>
</think>
63/60 = 1.05
The answer is B<|endoftext|> | 25,771 |
<|im_start|>user
The probability that a number selected at random from the first 50 natural numbers is a composite number is
Answer Choices: (A) 17/26 (B) 17/25 (C) 17/20 (D) 17/22 (E) 17/21<|im_end|>
<|im_start|>assistant
<think>
</think>
The number of exhaustive events = ⁵⁰C₁ = 50.
We have 15 primes from 1 to 50.
N... | 91,822 |
<|im_start|>user
At a certain school, the ratio of the number of English majors to the number of Sociology majors is 5 to 2, and the ratio of the number of Psychology majors to the number of Sociology majors is 3 to 4. If the ratio of the number of History majors to the number of English majors is 5 to 3, what is the r... | 10,181 |
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