Quantitative Aptitude

Data Interpretation

290 Questions
All Percentage & Fraction Conversion 77 Sum, Difference & Average 76 Ratio Comparison 37 Pie Chart Angle Mapping 33 Missing Data Derivation 27 Commercial Arithmetic Application 19 Direct Value Extraction 10 Trend & Growth Analysis 9 Compound DI Cross-Referencing 1 Permutations & Arrangements 1

Data Interpretation Questions

Multiple choice

A man spends Rs. $500$ in buying $12$ tables and chairs. The cost of one table is Rs.$50$ and that of one chair is $40$. What is the ratio of the numbers of the chairs and the tables purchased?
  1. $5:4$
  2. $3:2$
  3. $1:5$
  4. $5:1$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let c be the number of chairs and t be the number of tables. 50t + 40c = 500. Dividing by 10 gives 5t + 4c = 50. Testing integer solutions: if t=2, 10+4c=50, 4c=40, c=10. Ratio c:t = 10:2 = 5:1.

Multiple choice

The following table gives the ares of the oceans of the world Ocean Area (million $\displaystyle km^{2}$) Pacific $70.8$ Atlantic $41.2$ Indian $28.5$ Antarctic $7.6$ Arctic $4.8$ A pie diagram of this data is to be drawn What is the angle which the sector representing Pacific Ocean subtends at the center?
  1. $\displaystyle 167^{\circ}$
  2. $\displaystyle 97^{\circ}$
  3. $\displaystyle 67^{\circ}$
  4. $\displaystyle 18^{\circ}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The total ocean area is 152.9 million km^2. The Pacific sector angle is 70.8/152.9 x 360 = 166.7 degrees approximately, which rounds to 167 degrees.

Multiple choice

A poll of 200 registered voters was taken before the election for the post of mayor . All 200 voters indicated which 1 of the 4 candidates they would vote for. The results of the poll are given in the table below. Candidate Number of voters Blackcloud 50 Lue 80 Gomez 40 Whitney 30 Find the measure of the central angle of the sector for Gomez if the information in the table were converted into a pie chart.
  1. $\displaystyle { 54 }^{ \circ }$
  2. $\displaystyle { 72 }^{ \circ }$
  3. $\displaystyle { 90 }^{ \circ }$
  4. $\displaystyle { 108 }^{ \circ }$
  5. $\displaystyle { 144 }^{ \circ }$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total voters = 200. Gomez has 40 votes. The fraction of the total is 40/200 = 1/5. The central angle is 1/5 * 360 degrees = 72 degrees.

Multiple choice

A poll is conducted in US to know the participation of people in elections. The table below shows the details of the poll Voted Did not vote No Response Total 18-to 34-year-olds 30,329 23,211 9,468 63,008 35-to 54-year-olds 47,085 17,721 9,476 74,282 55-to 74-year-olds 43,075 10,092 6,831 59,998 People 75 years old and over 12,459 3,508 1,827 17,794 Total 132,948 54,532 27,602 215,082 Find the age group for which greatest percentage of people report that they had voted?
  1. $18$ to $34$ -year-olds
  2. $35$ to $54$ -year-olds
  3. $55$ to $74$ -year-olds
  4. People $75$ years old and over
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate percentage of voters for each group: 18-34: 30329/63008 approx 48.1%. 35-54: 47085/74282 approx 63.4%. 55-74: 43075/59998 approx 71.8%. 75+: 12459/17794 approx 70.0%. The 55-74 age group has the highest percentage.

Multiple choice

Age Age Gender Under $40$ $40$ or older Total Male $12$ $2$ $14$ Female $8$ $3$ $11$ Total $20$ $5$ $25$ The table above shows the distribution of age and gender for $25$ people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female under age $40$ or a male age $40$ or older?
  1. $\dfrac {4}{25}$
  2. $\dfrac {10}{25}$
  3. $\dfrac {11}{25}$
  4. $\dfrac {16}{25}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total people = 25. Female under 40 = 8. Male 40 or older = 2. Total favorable outcomes = 8 + 2 = 10. Probability = 10/25.

Multiple choice

In a table showing L.C.F.D. and G.C.F.D; for a class whose upper boundary is $60$ has less than cumulative frequency of $35$ and a class whose lower boundary is $60$ has greater than cumulative frequency of $25$. Find the total frequency of the distribution.
  1. $10$
  2. $60$
  3. $35$
  4. $70$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In a frequency distribution, the total frequency is the value where the cumulative frequency reaches its maximum. Given the boundary conditions, the total frequency is the sum of frequencies across the classes, which is 60.