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Quantitative Aptitude
List of top Quantitative Aptitude Questions
If x
2
− 5x + 6 = 0, what is the sum of the roots?
CAT - 2011
CAT
Quantitative Aptitude
Quadratic Equations
What is the area of a rectangle with length 12 cm and width 5 cm?
CAT - 2011
CAT
Quantitative Aptitude
Mensuration
The ratio of two numbers is 3:4. If their sum is 70, what is the larger number?
CAT - 2011
CAT
Quantitative Aptitude
Ratio and Proportion
What is the value of x in the equation 2x + 5 = 13?
CAT - 2011
CAT
Quantitative Aptitude
Linear Equations in One Variable
A man buys 5 kg of apples at Rs. 20 per kg and 3 kg of oranges at Rs. 30 per kg. What is the total cost?
CAT - 2011
CAT
Quantitative Aptitude
Profit and Loss
If 3x + 4 = 19, what is x?
CAT - 2011
CAT
Quantitative Aptitude
Linear Equations in One Variable
What is the value of \( 3^3 \times 2^2 \)?
CAT - 2011
CAT
Quantitative Aptitude
Exponents
If 3x + 2y = 12 and x - y = 1, what is x?
CAT - 2011
CAT
Quantitative Aptitude
Linear Equations
A train running at 72 kmph takes 20 seconds to pass a platform. It takes 12 seconds to pass a man walking at 6 kmph in the same direction. What is the length of the platform?
CLAT - 2011
CLAT
Quantitative Aptitude
Basic Algebra
Francis has 18 eggs out of which 12 eggs were sold at 10% loss than the cost price. At what mark up should he sell the remaining eggs to cover his losses?
CLAT - 2011
CLAT
Quantitative Aptitude
Basic Algebra
Rajneetha walks around the circular park in 15 minutes. If she walks at the rate of 5 km/hr, how much distance would she have to travel, at the minimum, to reach the centre of the park from any point on its perimeter?
CLAT - 2011
CLAT
Quantitative Aptitude
Mensuration
If the length and height of a brick increases by 10% each respectively, and the breadth reduces by 20%, what is the percentage change in the volume of the brick?
CLAT - 2011
CLAT
Quantitative Aptitude
Mensuration
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a perfect square number is:
CLAT - 2011
CLAT
Quantitative Aptitude
Probability
Two coins are tossed simultaneously. The probability of getting at the most one head is:
CLAT - 2011
CLAT
Quantitative Aptitude
Probability
A bag contains 19 red balls, 37 blue balls and 27 green balls. If a ball is picked up from this bag at random, what is the probability of picking a blue ball?
CLAT - 2011
CLAT
Quantitative Aptitude
Probability
A flag pole 18 m high casts a shadow 9.6 m long. What is the distance of the top of the pole from the far end of the shadow?
CLAT - 2011
CLAT
Quantitative Aptitude
Mensuration
A cylindrical tennis ball container can contain maximum three balls stacked on one another. The top and bottom balls also touch the lid and the base of the container respectively. If the volume of a tennis ball is \( 240 \text{ cm}^3 \), then what is the volume of the container?
CLAT - 2011
CLAT
Quantitative Aptitude
Mensuration
A customized jewellery was sold at Rs 1000 with 90% discount on the ‘making charges’. If the payment made for making charges was Rs 100, what is the approximate} rate of discount on the product?
CLAT - 2011
CLAT
Quantitative Aptitude
Basic Algebra
A man walks from his house to the Railway station to catch a train, which is running as per schedule. If he walks at 6 km/hr, he misses the train by 9 minutes. However, if he walks at 7 km/hr, he reaches the station 6 minutes before the departure of train. The distance of his home to the Railway Station is:
CLAT - 2011
CLAT
Quantitative Aptitude
Basic Algebra
During the academic session 2009-10, in Banaras Hindu University, Varanasi, the number of students studying Arts, Law and Commerce was in the ratio of 5:6:7. If during the academic session 2010-11 the number of students studying Arts, Law and Commerce increased by 20%, 30% and 40% respectively, what will be new ratio?
CLAT - 2011
CLAT
Quantitative Aptitude
Ratio and Proportion
In a staff room of 25 teachers, 13 drink black coffee, 7 milk coffee, 9 drink both tea and either type of coffee, and everyone drinks either of the beverages. How many teachers drink only tea?
CLAT - 2011
CLAT
Quantitative Aptitude
Statistical Estimation
Ms. Jhulan Goswami scores 102 runs in the 18th innings of her career and thus increases her average by 5. After the 18th inning, her average is:
CLAT - 2011
CLAT
Quantitative Aptitude
Statistical Estimation
Akbar will turn 50 when his son Jehangir turns 18. What will be Akbar’s age when it will be exactly 5 times that of Jehangir?
CLAT - 2011
CLAT
Quantitative Aptitude
Basic Algebra
Jogen’s taxable income for 2010-11 is Rupees 5,00,000. The tax rates are:
(i) nil for first 1,50,000,
(ii) 10% for 1,50,001—3,00,000,
(iii) 20% for the remaining. What is his tax liability?
CLAT - 2011
CLAT
Quantitative Aptitude
Statistical Estimation
The ratio of two numbers is 4:5. But, if each number is increased by 20, the ratio becomes 6:7. The sum of such numbers is:
CLAT - 2011
CLAT
Quantitative Aptitude
Ratio and Proportion
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