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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Trailing zeroes in 100! (product of 1 to 100)?
CAT - 1993
CAT
Quantitative Aptitude
Number System
Minimum value of \( K \) for which \( x + y + z = K \), \( x<y<z \) does NOT uniquely determine the triplet?
CAT - 1993
CAT
Quantitative Aptitude
Combinatorics
Ship is 18 miles from shore when a seaplane, 10x faster, is sent. Where does it catch up?
CAT - 1993
CAT
Quantitative Aptitude
Time, Speed and Distance
If a spherical ball is placed on a hollow cone with same diameter, what portion will be outside?
CAT - 1993
CAT
Quantitative Aptitude
3D Geometry
A girl counts fingers: 1 = thumb, 2 = index, ..., 5 = little finger, then reverses. Count reaches 1994. Which finger does she end on?
CAT - 1993
CAT
Quantitative Aptitude
Algebra
P and Q start from opposite ends, with Q starting an hour later and at twice the speed. When P has covered 1/6th the distance, Q has also covered the same. Where do they meet?
CAT - 1993
CAT
Quantitative Aptitude
Algebra
The smallest number which when divided by 4, 6, or 7 leaves a remainder of 2 is
CAT - 1993
CAT
Quantitative Aptitude
Remainders and Factorials
Given: \( x<0 \), \( 0<y<1 \), \( z>1 \). Which of the following may be false?
CAT - 1993
CAT
Quantitative Aptitude
Inequalities
How many hours would P take to reach point B?
CAT - 1993
CAT
Quantitative Aptitude
Time, Speed and Distance
How many more hours would P take compared to Q to complete the journey?
CAT - 1993
CAT
Quantitative Aptitude
Time, Speed and Distance
A report has 20 sheets, each with 55 lines of 65 characters. It's retyped on pages of 65 lines and 70 characters per line. What is the percentage reduction in sheets?
CAT - 1993
CAT
Quantitative Aptitude
Percentage
In a locality of 100 families: 45 have radios, 75 have TVs, 25 have VCRs. 10 have all three. Every VCR owner has TV. 25 have radio only. How many families have only TV?
CAT - 1993
CAT
Quantitative Aptitude
Set Theory
From 5 points (4 vertices of a square + 1 intersection point of diagonals), how many triangles can be formed?
CAT - 1993
CAT
Quantitative Aptitude
Coordinate Geometry
Let \( x<0.50 \), \( 0<y<1 \), \( z>1 \). What is the median of x, y, z?
CAT - 1993
CAT
Quantitative Aptitude
Number System
A group of workers starts a job. From Day 2 onward, 1 worker is removed each day. The job ends when the last worker is withdrawn. If all had worked full time, the work would’ve been done in 2/3 time. How many workers were initially in the group?
CAT - 1993
CAT
Quantitative Aptitude
Time and Work
ABC is an equilateral triangle with AB = AC, and B is 2 km north of A. A person walks from B parallel to AC, stops when directly east of C (point D). Where is D with respect to A?
CAT - 1993
CAT
Quantitative Aptitude
Coordinate Geometry
What is the total distance walked by the person (from B to D to E)?
CAT - 1993
CAT
Quantitative Aptitude
Coordinate Geometry
A slab of ice 8 in × 11 in × 2 in is melted and recast into a cylinder of 8 in diameter. What is the length of the cylinder?
CAT - 1993
CAT
Quantitative Aptitude
Coordinate Geometry
Find the maximum value of
\( y = \min\left(\frac{1}{2} - \frac{3x^2}{4}, \frac{5x^2}{4}\right) \) for \( 0<x<1 \)
CAT - 1993
CAT
Quantitative Aptitude
Functions
John bought 5 mangoes and 10 oranges for Rs. 40. He then returned 1 mango and got 2 oranges in exchange. What is the price of one orange?
CAT - 1993
CAT
Quantitative Aptitude
Algebra
A five-digit number is formed using digits 1, 3, 5, 7, and 9 without repetition. What is the sum of all such possible numbers?
CAT - 1993
CAT
Quantitative Aptitude
Permutations and Combinations
How many positive integers less than or equal to 100 are not divisible by 2, 3, or 5?
CAT - 1993
CAT
Quantitative Aptitude
Number System
Let \( u_0 = 0 \), and \( u_{n+1} = 2u_n + 1 \). What is the value of \( u_{10} \)? (nearest to)
CAT - 1993
CAT
Quantitative Aptitude
Relations
The function given by \( f(x) = |x|^3 \) is
CAT - 1993
CAT
Quantitative Aptitude
Relations
The sum of two odd functions
CAT - 1993
CAT
Quantitative Aptitude
Relations
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