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If N is a natural number less than 100, then for how many values of N are the numbers 6N + 1 and 15N + 2 relatively prime?
Quantitative Aptitude and Data sufficiency Quiz for CAT, XAT
Dear readers,
This quiz consists of questions from various past actual CAT papers. Leave your answers/ responses in the comments section below and soon we'll let you know the correct answers!
1. The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest?
a. 55 b. 60 c. 62 d. Cannot be determined
Direction for questions 2 to 4: Answer the questions based on the following information. A survey of 200 people in a community who watched at least one of the three channels - BBC, CNN and DD - showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.
2. What is the maximum percentage of people who can watch all the three channels?
a.12.5% b. 8.5% c. 15% d. Data insufficient
3. If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentage of people watched BBC and CNN only?
a.2% b. 5% c. 8.5% d. Cannot be determined
4. Referring to the previous question, what percentage of people watched all the three channels?
a.3.5% b. 0% c. 8.5% d. Cannot be determined
5. A man earns x% on the first Rs. 2,000 and y% on the rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900 from if his income is Rs. 5,000, find x%.
a.20% b. 15% c. 25% d. None of these
6. A dealer buys dry fruits at Rs. 100, Rs. 80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and sells at a profit of 50%. At what price per kilogram does he sell the dry fruit?
a. Rs 80 b. Rs 100 c. Rs 95 d. None of these
7. Fresh grapes contain 90% water while dry grapes contain 20% water. What is the weight of dry grapes obtained from 20 kg fresh grapes?
a. 2 kg b. 2.5 kg c. 2.4 kg d. None of these
8. An express train travelling at 80 km/hr overtakes a goods train, twice as long and going at 40 km/hr on a parallel track, in 54 s. How long will the express train take to cross a platform of 400 m long?
a. 36 s b. 45 s c. 27 s d. None of these.
9. A student instead of finding the value of 7/8 of a number, found the value of 7/18 of the number. If his answer differed from the actual one by 770, find the number.
a. 1584 b. 2520 c. 1728 d. 1656
10. P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?
a. 20 b. 65 c. 16 d. 35
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A certain virus increases by 15 times in 10 minutes. in how much will it double itself?
Hi All! How is the prep coming along?
Can you guys help me out , for quants which one should I follow Arun sharma or CL quant material. I have been using the material , but i feel that there are not enough questions!
ratio of jim's salary for october to november was 1.5 : 1.333 and ratio of the salary for november to december was 2 : 2.666. the worker got 40 rs more for december than october and recieved a bonus constituting of 40 percent of salary for three months. find the bonus .Please explain with solution
The length of the hypotenuse of a particular right-angled triangle is given by sqrt (1 + 3 + 5 + 7 + ... +25). The lengths of the
other two sides are given by sqrt (1 + 3 + 5 + ... + X) and sqrt (1 + 3 + 5 + .... + y) where x and y are positive integers. What is the
value of x + y?
A 32
B 17
C 24
D 12
DO MENTION THE APPROACH TOO THANKS.
a numbr V,which has only 3 prime factors,has exactly 12 divisors including 1 and itself,if the sum of the prime factors of the number is 20,then the smallest possible value a number can assume?
The sum of three distinct positive integers x,y and z is 10. How many ordered pair of (x,y,z) exist?
let g(y) = min(-y+3 , 2+7y). Find maximum possible value of g(y).
A) 21/8
B) 25/8
C) 23/8
D) 5/2
please discuss the approach.
67.A rectangle ABCD is inscribed in a sector of central angle 30° and radius r, such that the length BC lies along one of the radii bounding the sector, while A lies on the other radius and D lies on the arc. If AB : BC = 1 : 2, find AB in terms of r.
OA- r(_/3-1) / (2_/2)
Approach?
79.In triangle ABC, AB measures 18 cm, AC measures 20 cm and the altitude to side BC measures 15 cm. If the area of the circumcircle of triangle ABC is k sq.cm., find k.
Two tanks, T1 and T2, of equal capacities, are provided with inlet taps, A and B, of different flow rates, respectively. Tap A begins to fill the first tank. Seven minutes later, tap B is opened. Nine minutes after that, the total quantity of water in the two tanks is just enough to fill one tank completely. Exactly t minutes after that both the tanks are full. What is the value of t?
which is best B school among myra and woxsen ?
How do you solve installment sums in SI / CI ? Eg: A borrowed 12000 at 10% PA. He repaid 7000 at the end of the first year . what amount should he pay at the end of the 2nd year to completely discharge the loan, Compound interest being reckoned?
Remainder when 14^400 is divided by 1393?
Approach?
Questions 28 -32. Please provide me answers and solutions
ratio of nth term and n-1th term is n-1/n.find the ratio of 12th term and 18th term of the series