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questions
List of practice Questions
What is the probability that a two-digit positive integer N has the property that the sum of N and the number obtained by reversing the order of its digits is a perfect square?
IBSAT
Quantitative Aptitude
Probability
A shopkeepers marked price of an article is 140% of the cost price. He sold the articles under two schemes. Scheme 1 is to sell each article at a discount of 10% and scheme 2 to sell two articles at a discount of 15% each. He sold 60% of the articles under scheme 2 and the remaining under scheme 1. What is his overall gain or loss percentage?
IBSAT
Quantitative Aptitude
Profit and Loss
In a checkerboard, what is the largest number of squares that can be coloured red, so that in any arrangement of three squares at least one square is not coloured blue?
IBSAT
Quantitative Aptitude
Mensuration
An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. What is the percentage of houses having all the three equipments to the houses having only two equipments? (Approx.)
IBSAT
Quantitative Aptitude
Percentage
When a certain single digit number multiples with 1,234, the units digit and the thousand’s digit will be the same in the product. What is the number formed by the other two digits in the same order?
IBSAT
Quantitative Aptitude
Number Systems
In a kilometer race, A gives B a head start of 50 m and still beats B by 8 m. By what distance A will beat B, if B gives a start of 50 m to A.
IBSAT
Quantitative Aptitude
Speed, Time and Distance
If ‘y’ is a number such that y = x
x
, where x is a positive integer, what is the difference between the largest possible two-digit value of y and the smallest possible three-digit value of y?
IBSAT
Quantitative Aptitude
Number Systems
In a school, 150 students offered Hindi as an optional subject, 85 French and 90 Sanskrit. Out of these, 73 offered Hindi only, 52 French only, 18 Hindi and French only and 10 French and Sanskrit only. How many students offered Sanskrit only?
IBSAT
Quantitative Aptitude
Ratio and Proportion
A person brought a load of bags towards a weighing machine and measured the weights of the bags in a particular order. First, he weighed three bags individually, then weighed the bags taking two at a time of different combinations and lastly weighed all the three bags at a time. The recorded weight for the last measure was 203 kg. What is the average of the 7 measurers he has taken?
IBSAT
Quantitative Aptitude
Average
There are three cans and a bucket. The cans each have a capacity of 5 litres, but are partially filled with water. The bucket also has some water in it. The sum of the water in the bucket and water in the first can is half of the total bucket capacity. When the first and third cans are emptied into the bucket, it contains 6 litres of water. Instead, when the second and the third cans are emptied into the bucket, it contains 7 litres of water. When water in all the cans are poured into the bucket, it is filled to its capacity. The first and second can contain a total of 7 litres. What is the capacity of the bucket?
IBSAT
Quantitative Aptitude
Ratio and Proportion
Mahesh’s age is a two-digit number. The peculiarity of the number is that when divided by the sum of its digits, the quotient is 2 and the remainder is 8. If the digits are interchanged and the resulting number is divided by the sum of its digits, the quotient is 8 and the remainder is 2. What is Mahesh’s age?
IBSAT
Quantitative Aptitude
Number Systems
In how many years at 8% per annum simple interest, will the interest be half of the principal?
IBSAT
Quantitative Aptitude
SI & CI
A fruit vendor brought a bag full of mangoes to the market. He kept some of the mangoes into the basket and put them for sale. He sold one-third of the mangoes in the basket to Mr. A and adds 18 more to it. He sold three-fourth of the remaining mangoes in the basket to Mr. B, and adds 12 more to it, after which he left with 25 mangoes in his basket. How many mangoes did the fruit vendor take in his basket in the beginning?
IBSAT
Quantitative Aptitude
Number Systems
Each interior angle of a regular polygon is ‘a’ times as large as each exterior angles. How many sides does the polygon have?
IBSAT
Quantitative Aptitude
Polygons
In the figure below, PT and ST are two secants. If O is the centre of the circle and PQ = 2QT = 8 cm, OS = 5 cm, then what is the measure of the line OT? (Figure not drawn to scale)
IBSAT
Quantitative Aptitude
Triangles, Circles & Quadrilaterals
The difference between the largest and the smallest prime numbers below 100 is a multiple of two prime numbers. What is the sum of these prime numbers?
IBSAT
Quantitative Aptitude
Number Systems
A boy constructed a triangle such that its height and the three sides form four consecutive integers. If the dimensions can be measured using only 15 cm measurement scale, then the area of the triangle could be
IBSAT
Quantitative Aptitude
Mensuration
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
A man is paid Rs. 80 per regular working hour and Rs. 100 per hour overtime. He works only 8 hours per day and 6 days a week. If he earns Rs. 15,760 in four weeks, then for how many hours did he work?
IBSAT
Quantitative Aptitude
Time and Work
A quadrilateral of perimeter 126 cm is circumscribed about a circle. Three of its sides taken in order are in the ratio 5 : 8 : 9. What is the length of the fourth side?
IBSAT
Quantitative Aptitude
Mensuration
How many times does the 29th day of the month occur in 800 successive years?
IBSAT
Quantitative Aptitude
Clock and Calendar
Directions: Choose the option that best expresses the meaning of the given idiom/phrase in the italics.
Mind your Ps and Qs before signing the final deed.
IBSAT
Verbal and Logical Ability
Idioms
Directions: Choose the option that best expresses the meaning of the given idiom/phrase in the italics.
I have a gut feeling that you are lying to me.
IBSAT
Verbal and Logical Ability
Idioms
Directions: Choose the option that best expresses the meaning of the given idiom/phrase in the italics.
When the captain began explaining the whole story, his senior told him to stop beating about the bush but to hit the nail on the head and come straight to the point.
IBSAT
Verbal and Logical Ability
Idioms
Directions: Choose the option that best expresses the meaning of the given idiom/phrase in the italics.
I’ve been feeling a little under the weather today.
IBSAT
Verbal and Logical Ability
Idioms
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