Question Bank (1)  Quant Mixed Bag  Shashank Prabhu, CAT 100 Percentiler

Number of questions : 100
Answer Key Available  No
Topic : Quant Mixed Bag
Source  Learningroots

Q1) Four stacks containing equal number of chips are to be made from 11 orange, 9 white, 13 black and 7 yellow chips. If all of these chips are used and each stack contains at least one chip of each color, what is the maximum number of white chips in any one stack?
a. 3
b. 4
c. 5
d. 6[OA: Option d]

Q 2) In a shop, cost of 3 burgers, 7 milkshake and french fries is Rs. 120. In the same shop, cost of 4 burgers, 10 milkshake and french fries is Rs. 164.5. Find the cost of 1 Burger, 1 Milkshake and french fries in the shop.
(1) 41
(2) 21
(3) 31
(4) None of these[OA: Option 3]

Q 3) All the pages of a book starting from page 1 are summed. One of the pages has been added twice, and the total thus obtained is 1000. Which is the page that has been added twice ?
(1) 10
(2) 12
(3) 14
(4) None of these[OA: Option 1]

Q 4) There are three classes X,Y and Z. Average of class X is 83. Average of Class Y is 76. Average of class Z is 85. Average of class X and Y is 79, average of class Y and Z is 81. Find average of three Classes.
(1) 81
(2) 81.5
(3) 82
(4) 84[OA: Option 2]

Q 5) For a scholarship, at most n candidates out of (2n + 1) can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is:
a. 3
b. 4
c. 2
d. 5[OA: Option a]

Q 6) The sum of squares of first 15 positive integers is 1240. What is the sum of squares of the next 15 positive integers (16^2 + 17^2 + ... + 30^2)
a. 2480
b. 3490
c. 6785
d. 8215
e. 9255[OA: Option d]

Q 7) A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible value of the number of tiles along one edge of the floor is _____.
(a) 10
(b) 12
(c) 14
(d) 16
(e) None of these[OA: Option b]

Q 8) How many natural numbers are factors of 7560 and multiples of 14?
a) 20
b) 22
c) 24
d) 28[OA: Option c]

Q 9) Which of the following numbers is a perfect square?
a) 64! × 65!
b) 124! × 125!
c) 120! × 121!
d) 121! × 122![OA: Option c]

Q 10) If first 23 terms of the series 1, 11, 111, .. are added together, what digit would occupy the thousands place?
a) 3
b) 0
c) 9
d) 2[OA: Option d]

Q11) Three Professors Dr. Gupta, Dr. Sharma and Dr. Singh are evaluating answer scripts of a subject. Dr. Gupta is 40% more efficient than Dr. Sharma, who is 20% more efficient than Dr. Singh. Dr. Gupta takes 10 days less than Dr. Sharma to complete the evaluation work. Dr. Gupta starts the evaluation work and works for 10 days and then Dr. Sharma takes over. Dr. Sharma evaluates for next 15 days and then stops. In how many days, Dr. Singh can complete the remaining evaluation work.
[OA: 7.2 days]

Q12) Shyam, Gopal and Madhur are three partners in a business. Their capitals are respectively Rs 4000, Rs 8000 and Rs 6000. Shyam gets 20% of total profit for managing the business. The remaining profit is divided among the three in the ratio of their capitals. At the end of the year, the profit of Shyam is Rs 2200 less than the sum of the profit of Gopal and Madhur. How much profit, Madhur will get?
[OA: 2400]

Q13) A Techno company has 14 machines of equal efficiency in its factory. The annual manufacturing costs are Rs. 42,000 and establishment charges are Rs. 12,000. The annual output of the company is Rs. 70,000. The annual output and manufacturing costs are directly proportional to the no. of machines. The shareholders get 12.5% profit, which is directly proportional to the annual output of the company. If 7.14% machines remain closed throughout the year, then the percentage decrease in the amount of profit of the share holders would be:
a. 12%
b. 12.5%
c. 13.0%
d. None of these

Q14) How many positive integers 'n' can we form using the digits 3, 4, 4, 5, 6, 6, 7 if we want 'n' to exceed 6,000,000?
Note that any repetition except for the ones mentioned explicitly in the question is not allowed.

Q15) If you place 9 in the lefthand side of a fivedigit number, you get a sixdigit number. This sixdigit number is four times the sixdigit number that you get when you put 9 in righthand side of the original fivedigit number. What is the sum of the digits of the fivedigit number? All the digits are distinct.
a. 18
b. 27
c. 17
d. Data insufficient

Q16) The auto fare in La La Land has the following formula based upon the meter reading. The meter reading is rounded up to the next higher multiple of 4. For instance, if the meter reading is 37 paise, it is rounded up to 40 paise. The resultant is multiplied by 12. The final result is rounded up to the nearest multiple of 25 paise. If 53 paise is the meter reading, what will be the actual fare?
a. Rs. 6.75
b. Rs. 6.50
c. Rs. 6.25
d. Rs. 7.50

Q17) By selling 18 oranges, I lost the selling price of 4 oranges. What is the loss percentage?
a. 83/18
b. 200/9
c. 200/11
d. Can't be determined

Q18) Vijay covers 910 km by boat, road and rail in the ratio 4:3:6 respectively. Surprisingly, the speeds at which the journey was covered were also in the ratio 4:3:6 respectively. The total time taken for the journey was 89 hours. The ratio of the time taken by boat, road and rail was
a. 3 : 4 : 2
b. 1 : 1 : 1
c. 6 : 3 : 4
d. 4 : 3 : 6

Q19) Out of the total 390 students studying in a college of Arts and Science, boys and girls are in the ratio of 7 : 6 respectively and the number of students studying Arts and Science are in the ratio of 3 : 7 respectively. The boys and girls studying Arts are in the ratio of 4 : 5 respectively.
How many boys are studying Science?
a) 52
b) 65
c) 115
d) 180
e) None of theseWhat is the ratio between the girls studying Arts and Science respectively?
a) 13 : 23
b) 26 : 79
c) 8 : 13
d) 23 : 36
e) None of these