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Quantitative Aptitude
List of top Quantitative Aptitude Questions
Find the range of x that satisfies the equation: || 3x-6| +4|<10.
CAT
Quantitative Aptitude
Algebra
If a
2
+ 32 + b
2
+ 8(a + b) = 0, then find the value of (a3 + b3).
CAT
Quantitative Aptitude
Basic Algebra
If a + b + c = 4, (a + b)
2
+ (b + c)
2
+ (c + a)
2
= 20. Find the value of (a
2
+ b
2
+ c
2
).
CAT
Quantitative Aptitude
Algebra
Find the minimum numbers starting from 74 that are multiplied to get 50 zeros at the end ?
CAT
Quantitative Aptitude
Number Systems
Let R1 and R2 respectively denote the maximum and the minimum possible remainders when 276\(^n\) is divided by 91 for any natural number n, n ≥ 144. Find R1 + R2.
CAT
Quantitative Aptitude
Arithmetic
The simple interest accrued on an amount of Rs.25,000 at the end of three years is Rs.7,500. What would be the compound interest accrued on the same amount at the same rate in the same period?
CAT
Quantitative Aptitude
Simple and Compound Both
A shopkeeper has two jars P and Q containing almond oil in the ratio 2 : 3 respectively. He mixes '3x' litres and '2x' litres of olive oil in P and Q, respectively, after which the percentage of olive oil in jar P becomes 80% more than that in jar Q. If mixtures from jar P and jar Q are then mixed in the ratio of 3 : 1, what will be the percentage of olive oil in the resultant mixture?
CAT
Quantitative Aptitude
Mixtures and Allegations
Given below are 3 equations I, II and III where 'a' and 'b' are the roots of equation I where (a < b) and 'c' and’d’ are roots of equation II where (c < d). On this basis, solve for equation III and find the relationship between 'z' and 'k' given that k = 11
I. 3x(x - 12) + 72 = x
2
- 11x - 5
II. 5y(y - 3) - 64 = y(3y - 2) – 19
III. (z + 2a - d)
2
= 169
CAT
Quantitative Aptitude
Linear & Quadratic Equations
Aman bought '3x' shares for Rs. 420 per share, '4x' shares for Rs. 450 per share and '3x' shares for Rs. 430 per share. He sold 40% of the shares at Rs. 480 per share and the rest at Rs. 'y' per share. If he made a total profit of 20% on the whole transaction, find the value of 'y'.
CAT
Quantitative Aptitude
Shares and Dividends
A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is
CAT
Quantitative Aptitude
Divisibility and Remainder
In a ∆PQR, internal angle bisectors of ∠Q and ∠R meet at I while external angle bisectors of ∠Q and ∠R meet at X. If ∠P = 54°, then find the measures of ∠QIR and ∠QXR, respectively.
CAT
Quantitative Aptitude
Triangles
A group of friends decided to share the cost of a gift equally. If each person contributed Rs. 50, the amount would have been short by Rs. 20. However, if each person contributed Rs. 60, they would have Rs. 30 more than the required amount. What is the price of the gift?
CAT
Quantitative Aptitude
Ratio and Proportion
The digit at the unit place of P would be: Given, P=(6+1) (6
2
+1) (6
3
+1) ......... (6100+1)
CAT
Quantitative Aptitude
Linear Equations
How many times does the 29th day of the month occur in 800 successive years?
IBSAT
Quantitative Aptitude
Clock and Calendar
A group of 630 children is arranged in rows for a photograph session. Each row contains three children lesser than the row in front of it. Which of the below mentioned number of rows is not possible?
IBSAT
Quantitative Aptitude
Sequence and Series
Find the possible value of cosx, if 3 sin x = 2(1-cos x).
IBSAT
Quantitative Aptitude
Trigonometry
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
NMAT
Quantitative Aptitude
Equations
In a forest there are as many Santa Trees as there are Ajanta Trees. One-fourth of all the tree are old. One-half of the total trees are in flowering stage. Which of the following statement is true?
NMAT
Quantitative Aptitude
Division Of Fractions
A tailor had a piece of cloth. He initially reduced its length by 80%. After this, he further shortened it by 90% of its new length. What was the percentage decrease in the cloth's length from the first to the second cut?
CAT
Quantitative Aptitude
Percentage
In a library, the ratio of fiction books to non-fiction books is 7:5. The ratio of English fiction books to Hindi fiction books is 2:3. If there are 420 English fiction books, find the total number of non-fiction books in the library.
CAT
Quantitative Aptitude
Ratio and Proportion
Sneh’s age is
\(\frac{1}{6}^{th}\)
of her father’s age. Sneh’s father’s age will be twice of Vimal’s age after 10 years. If Vimal’s eighth birthday was celebrated two years before, then what is Sneh’s present age?
NMAT
Quantitative Aptitude
distance
In each of the following questions a number series is given with one missing (?) term. The term is given as one of the alternatives among the five numbers given in the answer choic Find the term.
2, 5,11,23,47,?
IBSAT
Quantitative Aptitude
Sequence and Series
If 9, 6, p are in arithmetic progression, 9, 6, q are in geometric progression and 9, 6, are in harmonic progression, then what is the value of (4p – 6q + r)?
IBSAT
Quantitative Aptitude
Arithmetic Progression
What is the probability that a five-digit number has at least one zero in it?
IBSAT
Quantitative Aptitude
Probability
Solve the following:-
\((193 – 87) ÷ (1.25 × 2) = ?\)
NMAT
Quantitative Aptitude
Equations
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