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Quantitative Ability and Data Interpretation
List of top Quantitative Ability and Data Interpretation Questions
X is older than Y, Z is younger than W, and V is older than Y. Is Z younger than X?
I. W may not be older than V.
II. W is not older than V.
CAT - 1990
CAT
Quantitative Ability and Data Interpretation
Data Sufficiency
How long did Mr. X take to cover 5000 km journey with 10 stopovers?
I. The $i^{th}$ stopover lasted $i^2$ minutes.
II. The average speed between any two stopovers was 66 kmph.
CAT - 1990
CAT
Quantitative Ability and Data Interpretation
Data Sufficiency
If R is an integer between 1 & 9, P - R = 2370, what is the value of R?
I. P is divisible by 4.
II. P is divisible by 9.
CAT - 1990
CAT
Quantitative Ability and Data Interpretation
Data Sufficiency
A man distributed 43 chocolates to his children. How many of his children are more than five years old?
I. A child older than five years gets 5 chocolates.
II. A child 5 years or younger in age gets 6 chocolates.
CAT - 1990
CAT
Quantitative Ability and Data Interpretation
Data Sufficiency
Ramu went by car from Calcutta to Trivandrum via Madras, without any stoppages. The average speed for the entire journey was 40 kmph. What was the average speed from Madras to Trivandrum?
I. The distance from Madras to Trivandrum is 0.30 times the distance from Calcutta to Madras.
II. The average speed from Madras to Trivandrum was twice that of the average speed from Calcutta to Madras.
CAT - 1990
CAT
Quantitative Ability and Data Interpretation
Data Sufficiency
$x$, $y$, and $z$ are three positive odd integers. Is $x + z$ divisible by 4?
I. $y - x = 2$
II. $z - y = 2$
CAT - 1990
CAT
Quantitative Ability and Data Interpretation
Data Sufficiency
Raman can do a piece of work in 16 days, Satish in 8 days, while Ashok can do it in 32 days. All started together but Satish left after 2 days. Raman left 3 days before the completion of the work. How long did it take to complete the entire work?
CMAT
Quantitative Ability and Data Interpretation
Time and Work
What is the unit digit of $(234)^{100} + (234)^{101}$?
CMAT
Quantitative Ability and Data Interpretation
Number System
Sum of three consecutive odd numbers is always divisible by:
A)
2
B)
3
C)
5
D)
6
CMAT
Quantitative Ability and Data Interpretation
Number System
The following table provides information about the number of cars sold by four dealers P, Q, R and S.
Total number of cars sold by P during February to June is what percent more than the total number of cars sold by all dealers in June?
CMAT
Quantitative Ability and Data Interpretation
Data Interpretation
Find the value of:
\[ \frac{5}{2^2 \cdot 3^2} + \frac{7}{3^2 \cdot 4^2} + \frac{9}{4^2 \cdot 5^2} + \frac{11}{5^2 \cdot 6^2} + \frac{13}{6^2 \cdot 7^2} + \frac{15}{7^2 \cdot 8^2} \]
CMAT
Quantitative Ability and Data Interpretation
Number System
85 litres of a mixture contain milk and water in the ratio 27:7. How much water is required to be added so that the resulting mixture contains milk and water in the ratio 3:1?
CMAT
Quantitative Ability and Data Interpretation
Mixtures & Alligations
In Kendriya Vidyalaya (K.V.), Ujjain, 20% students are athletes. In Navodaya Vidyalaya (N.V.), Ujjain, 25% students are athletes. If N.V. has 60% more students than K.V., then the number of athletes in N.V. is what percent of athletes in K.V.?
CMAT
Quantitative Ability and Data Interpretation
Percentage
If the height and radius of a right circular cylinder are equal and its volume is $\dfrac{176}{7}\,\text{cm}^3$, find the diameter of the cylinder.
CMAT
Quantitative Ability and Data Interpretation
Mensuration
If
\[ A + \frac{1}{B + \frac{1}{C - 9}} = \frac{29}{5} \]
then find the value of
\( A + B + C \).
CMAT
Quantitative Ability and Data Interpretation
Number System
A person buys two watches for Rs.1000 in total. He sells one watch at a loss of 5% and the other at a gain of 20%. On the whole, he gains Rs.50. Find the cost prices of the two watches.
CMAT
Quantitative Ability and Data Interpretation
Profit and Loss
Even after reducing the marked price by Rs.32, a shopkeeper makes a profit of 15%. If the cost price (C.P.) is Rs.320, what would be the percentage profit if the item is sold at the marked price?
CMAT
Quantitative Ability and Data Interpretation
Profit and Loss
Four coins are tossed. What is the probability that two consecutive heads never occur together?
CMAT
Quantitative Ability and Data Interpretation
Probability
Calculate the value of:
\[ \frac{\sqrt{\sqrt{5}+2} + \sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}} \]
CMAT
Quantitative Ability and Data Interpretation
Number System
Consider the following statements:
A)
There exists a smallest natural number.
B)
There exists a largest natural number.
C)
Every rational number is also a real number.
D)
Between two consecutive natural numbers, there is always a natural number.
CMAT
Quantitative Ability and Data Interpretation
Number System
Four electronic devices make a beep after every 30 minutes, 1 hour, 1.5 hours and 1 hour 45 minutes respectively. All beeped together at 12 noon. At what time will they again beep together?
CMAT
Quantitative Ability and Data Interpretation
Number System
Sudhir purchased a chair with 3 successive discounts of 20%, 12.5% and 5%. Find the equivalent single discount.
CMAT
Quantitative Ability and Data Interpretation
Profit and Loss
The number of distinct arrangements of the letters of the word STATISTICS is:
CMAT
Quantitative Ability and Data Interpretation
Permutations and Combinations
The ratio of the speed of a boat in still water to the speed of the stream is 5:2. If the boat goes 14 km downstream in the same time as it goes 6 km upstream, the speed of the boat in still water is:
CMAT
Quantitative Ability and Data Interpretation
Boat and Stream
A train covers a certain distance at 60 km/h and returns at 40 km/h. The average speed for the entire journey is:
CMAT
Quantitative Ability and Data Interpretation
Average Speed
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