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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration.If this amount is shared by them in proportion to their work,then Kamal's share,in rupees,is
CAT - 2017
CAT
Quantitative Aptitude
Time and Work
Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4:3:2. Then the resulting mixture has
CAT - 2017
CAT
Quantitative Aptitude
Mixture Problems
Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
CAT - 2017
CAT
Quantitative Aptitude
Mensuration
The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is
CAT - 2017
CAT
Quantitative Aptitude
Geometry
The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is
CAT - 2017
CAT
Quantitative Aptitude
Geometry
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
CAT - 2017
CAT
Quantitative Aptitude
Number Systems
If x is a real number such that log3 5 = log5 (2 + x), then which of the following is true?
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
Let f(x) = x2 and g(x) = 2X , for all real x. Then the value of f( f(g(x)) + g(f(x)) ) at x = 1 is
CAT - 2017
CAT
Quantitative Aptitude
Functions
The minimum possible value of the sum of the squares of the roots of the equation x2 + (a + 3)x - (a + 5) = 0 is
CAT - 2017
CAT
Quantitative Aptitude
Maxima and Minima
If 9x-1/2-22x-2=4x-32x-3, then x is
CAT - 2017
CAT
Quantitative Aptitude
Functions
If log (2a × 3b × 5C) is the arithmetic mean of log (22 × 33 × 5), log (26 × 3 × 57 ), and log (2 × 32 × 54 ), then a equals
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
Let a1 , a2 , a3 , a4 , a5 be a sequence of five consecutive odd numbers. Consider a new sequence of five consecutive even numbers ending with 2a3.
If the sum of the numbers in the new sequence is 450, then a5 is
CAT - 2017
CAT
Quantitative Aptitude
Arithmetic Progression
How many different pairs (a, b) of positive integers are there such that a ≤ b and 1/a+1/b=1/9=?
CAT - 2017
CAT
Quantitative Aptitude
Number Systems
In how many ways can 8 identical pens be distributed among Amal, Bimal, and Kamal so that Amal gets at least 1 pen, Bimal gets at least 2 pens, and Kamal gets at least 3 pens?
CAT - 2017
CAT
Quantitative Aptitude
Permutations and Combinations
If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(l) is
CAT - 2017
CAT
Quantitative Aptitude
Functions
How many four digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, 6, such that no digit is used more than once and 0 does not occur in the left-most position?
CAT - 2017
CAT
Quantitative Aptitude
Permutations and Combinations
Let f(x) = 2x-5and g(x) = 7-2x. Then |f(x) + g(x)| = |f(x)| + |g(x)| if and only if
CAT - 2017
CAT
Quantitative Aptitude
Functions
An infinite geometric progression a1 , a2 , a3 ,... has the property that an = 3(an+ l + an+2 +….) for every n ≥ 1. If the sum a1 + a2 + a3 +….... = 32, then a5 is
CAT - 2017
CAT
Quantitative Aptitude
Geometric Progression
If a1=1/2×5, a2=1/5×8, a3=1/8×11,...,then a1, +a2, +a3, +....a100 is
CAT - 2017
CAT
Quantitative Aptitude
Sequence and Series
If
\(9^{2x – 1} – 81^{x-1} = 1944\)
, then x is
CAT - 2017
CAT
Quantitative Aptitude
Algebra
Let
\(a_1 , a_2 ,……..a_{3n}\)
be an arithmetic progression with
\(a_1 = 3\)
and
\(a_2 = 7.\)
If
\(a_1 + a_2 + ….+a_{3n} = 1830\)
, then what is the smallest positive integer m such that m
\((a_1 + a_2 + …. + a_n ) > 1830?\)
CAT - 2017
CAT
Quantitative Aptitude
Arithmetic Progression
If
\(f(x)=\frac{5x+2 }{3x-5}\)
and
\(g(x)=x^2-2x-1\)
,then the value of
\(g(f(f(3)))\)
is
CAT - 2017
CAT
Quantitative Aptitude
Functions
Let AB, CD, EF, GH, and JK be five diameters of a circle with center at O. In how many ways can three points be chosen out of A,B, C, D, E, F, G, H, J, K, and O so as to form a triangle?
CAT - 2017
CAT
Quantitative Aptitude
Triangles
The value of
\(\text {log}_{0.008}\sqrt{5}+\text{log}_{\sqrt{3}}81-7\)
is equal to
CAT - 2017
CAT
Quantitative Aptitude
Logarithms
In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser but nobody gets more than 3 erasers?
CAT - 2017
CAT
Quantitative Aptitude
Permutation and Combination
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