# Quantitative Aptitude and Data sufficiency Quiz for CAT, XAT

Dear readers,

This quiz consists of questions from

various past actual CAT papers. Leave your answers/ responses in the comments

section below and soon we’ll let you know the correct answers!

**1. The average marks of a student in 10 papers are 80.
If the highest and the lowest scores are not considered, the average is 81. If
his highest score is 92, find the lowest?**

** **

a. 55 b. 60 c. 62 d. Cannot be determined

** **

**Direction for questions 2 to 4: Answer the
questions based on the following information. A survey of 200 people in a
community who watched at least one of the three channels – BBC, CNN and DD –
showed that 80% of the people watched DD, 22% watched BBC, and 15% watched CNN.**

** **

**2. What is the maximum percentage of people who can
watch all the three channels? **

** **

a.12.5%

b. 8.5% c.

15% d. Data

insufficient

** **

**3. If 5% of people watched DD and CNN, 10% watched DD
and BBC, then what percentage of people watched BBC and CNN only? **

** **

a.2%

b. 5% c.

8.5% d. Cannot be

determined

** **

**4. Referring to the previous question, what percentage
of people watched all the three channels? **

** **

a.3.5%

b. 0% c.

8.5% d. Cannot be

determined

** **

**5. A man earns x% on the first Rs. 2,000 and y% on the
rest of his income. If he earns Rs. 700 from income of Rs. 4,000 and Rs. 900
from if his income is Rs. 5,000, find x%. **

** **

a.20% b. 15% c. 25% d. None of these

**6. A dealer buys dry fruits at Rs. 100, Rs.
80 and Rs. 60 per kilogram. He mixes them in the ratio 3 : 4 : 5 by weight, and
sells at a profit of 50%. At what price per kilogram does he sell the dry
fruit? **

a. Rs 80 b. Rs 100 c. Rs 95 d. None of these

**7. Fresh grapes contain 90% water while dry
grapes contain 20% water. What is the weight of dry grapes obtained from 20 kg
fresh grapes? **

a. 2 kg b. 2.5 kg c. 2.4 kg d. None of these

**8. An express train travelling at 80 km/hr
overtakes a goods train, twice as long and going at 40 km/hr on a parallel
track, in 54 s. How long will the express train take to cross a platform of 400
m long? **

a. 36 s b. 45 s c. 27 s d. None of these.

** **

**9. A student instead of finding the value of 7/8 of a
number, found the value of 7/18 of the number. If his answer differed from the
actual one by 770, find the number. **

** **

a. 1584 b. 2520 c. 1728 d. 1656

** **

**10. P and Q are two positive integers such that PQ =
64. Which of the following cannot be the value of P + Q? **

** **

a. 20 b. 65 c. 16 d. 35

** **

**To get fresh updates about MBA exams on your Facebook
& Twitter timelines, subscribe to our pages created specifically for them.
We will post only exam specific links on these pages:**

** **

Facebook: https://www.facebook.com/PaGaLGuy

Twitter: https://twitter.com/pagalguy