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questions
List of practice Questions
Let a and b be natural numbers. If
\(a^2+ab+a=14\)
and
\(b^2+ab+b=28\)
, then (2a+b) equals
CAT - 2022
CAT
Quantitative Aptitude
Basics Algebraic Formulae
Amal buys 110kg of syrup and 120kg of juice, syrup being 20% less costly than juice, per kg. He sells 10kg of syrup at 10% profit and 20kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at ₹ 308.32 per kg and makes an overall profit of 64%. Then, Amal's cost price for syrup, in rupees per kg, is
CAT - 2022
CAT
Quantitative Aptitude
Profit and Loss
In a village, the ratio of number of males to females is 5:4. The ratio of number of literate males to literate females is 2:3. The ratio of the number of illiterate males to illiterate females is 4:3. If 3600 males in the village are literate, then the total number of females in the village is
CAT - 2022
CAT
Quantitative Aptitude
Ratio and Proportion
A trapezium ABCD has side AD parallel to BC, ∠BAD=90∘, BC=3 cm, and AD=8 cm. If the perimeter of this trapezium is 36 cm, then its area, in sq. cm, is
CAT - 2022
CAT
Quantitative Aptitude
Mensuration
The largest real value of a for which the equation
\( |x+a|+|x−1|=2\)
has an infinite number of solutions for x is
CAT - 2022
CAT
Quantitative Aptitude
Linear Inequalities
Ankita buys 4kg cashews, 14kg peanuts, and 6kg almonds when the cost of 7kg cashews is the same as that of 30kg peanuts or 9kg almonds. She mixes all three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent buying almonds is
CAT - 2022
CAT
Quantitative Aptitude
Profit and Loss
Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3:5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is
CAT - 2022
CAT
Quantitative Aptitude
Ratio and Proportion
The average of three integers is 13. When a natural number n is included, the average of these four integers remains an odd integer. The minimum possible value of n is
CAT - 2022
CAT
Quantitative Aptitude
Averages
Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is
CAT - 2022
CAT
Quantitative Aptitude
Time and Work
For natural numbers x,y, and z, if xy+yz=19 and yz+xz=51, then the minimum possible value of xyz is
CAT - 2022
CAT
Quantitative Aptitude
Maxima and Minima
The number of ways of distributing 20 identical balloons among 4 children such that each child gets some balloons but no child gets an odd number of balloons, is
CAT - 2022
CAT
Quantitative Aptitude
Permutation and Combination
Let ABCD be a parallelogram such that the coordinates of its three vertices A, B, C are (1, 1), (3, 4), and (−2, 8), respectively. Then, the coordinates of the vertex D are
CAT - 2022
CAT
Quantitative Aptitude
Coordinate Geometry
Row 1 shows a word with 7 partial letters. Row 2 contains the parts that complete the word in Row 1. The parts in Row 2 are arranged randomly. What should be the correct sequence in Row 2?
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
Identify the odd one.
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
Shown below are trajectories of 4 flies over the juice glasses. Identify the fly that crossed over the maximum number of glasses.
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
Fill in the blank with the same font.
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
A folding paper fan P is dipped in orange colour and then in red colour as shown. Which option is the closest representation of the resultant fan?
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
Shown on the left is a pattern printed by repeated use of a single printing block. Which of the printing blocks shown on the right can be used to print the pattern?
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
The image shown below is made up of triangles only, from which the central portion is missing. Identify the missing portion.
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
A painting was created on the road as shown in the image. From the given options, identify which image was used to plan the painting (as seen from the top view).
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
The animation depicts morphing of faces and abstract forms. A face consists of two eyes, two ears, a nose and a mouth. How many unique faces appear in this morphing animation?
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
From the options choose which option will come next in this question figure?
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
A contractor has a set of ceramic tiles of which one tile is shown on the left. Which of the options show(s) the pattern(s) created using this tile?
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
Choose the correct option which will fit the in question mark figure.
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
What will be the output comes this
UCEED - 2022
UCEED
Logical Reasoning
Pattern Recognition
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