CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

In a big hostel, there are 1000 rooms. In that hostel only even numbers are used for room numbers i.e 2,4,6,8,....2000. All rooms have one resident each. One fine morning, the warden calls all the residents and tells hem to go back to their rooms as well as multiple of their room numbers. When a guy visits a room and he finds the door open, he closes it and if the door is closed, he opens it. All 1000 guys do this operation. All the doors were open initially.

1. The last room that is closed is room number:

A. 1936   B.2000   C.1922  D.1966

2. The 38th room that is open is room number:

A. 80   B.88  C.76  D.72

3. If only 500 guys i.e residents of room number 2 to 1000 do the task, then the last room that is closed is room number:

A. 2000  B.1936  C.1849  D.1746

answers are : CBA(please mention the approach)

Q6

At what time between 7:00 and 8:00 does the minute hand make an angle of 10 degrees with the hour hand?

Please give an explanation or a shortcut if any.

Can somebody pls post  the links or concepts of questions asking like

Minimum number of wins required to win the tournament / Minimum number of games required to win to proceed to next round etc??

These could come under DI/LR..

Pls post 

solution for q6?

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Please upload the full solution

Quantitative Aptitude Quiz for SNAP

Dear readers,

This quiz consists of questions from various past actual papers. Leave your answers/ responses in the comments section below and soon we'll let you know the correct answers!

1. Multiply 5746320819 by 125

(a) 748, 290, 103, 375

(b) 728, 490, 301, 375

(c) 718, 290, 102, 375

(d) 798, 290, 102, 975

2. A series of books was published at seven year interval. When the seventh book was issued, the sum of the publication years was 13,524. When was the first book published?

(a) 1932           (b) 1942           (c) 1911           (d) 1917

3. In a given period of days, it was observed that when it rained in afternoon, it had been clear in the morning, and when it rained in the morning, it was clear in the afternoon. It rained on 9 days and was clear on 6 afternoons and 7 mornings. How long was the period?

(a) 21               (b) 17               (c) 13               (d) 11

                       

4. The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec respectively. If they all change simultaneously at 8 : 20 : 00 hours, then they will again change simultaneously at:

(a) 8 : 27 : 12 hrs         (b) 8 : 27 : 24 hrs         (c) 8 : 27 : 36 hrs         (d) 8 : 27 : 48 hrs

           

5. If 1/4 of 20 is 6 then 1/5 of 10 is

(a) 3                 (b) 4                 (c) 22/5           (d) 21/2

6. Which pair from below will not satisfy the equation 187x - 104y = 41?

(a) x = 3, y = 5                         (b) x = 107, y = 192          (c) x = 211, y = 379                        (d) x = 314, y = 565

7.  If 1.125 x 10^k = .001125, then the value of k is

(a) -4               (b) -3               (c) -2               (d) -l

8. 10 people start a club. If there had been five more in the group, the initial expenses to each would have been Rs.100 less. What was initial cost per person?

(a) 250             (b) 300             (c) 500             (d) 400

9. A 27 quartz capacity car radiator is filled with 18% alcohol solution. How many quartz be drained and then be replaced by a 90% alcohol solution for resulting solution to contain 42% alcohol.

(a) 9 quartz                 (b) 7 quartz                 (c) 11 quartz                (d) 14 quartz

10. If 70% of adult males of a community have brown eyes, 75% have dark hair, 85% are over 5'8" tall and 90% weigh more than 140 pounds, what percent at least have all four characteristics?

(a) 60%            (b) 45%            (c) 20%            (d) 48%

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A positive divisor of 42^20 is selected at random. The probability that it is a multiple of 6^15 is a^2/b^2 where a and b are integers. What is the value of b-a?

A. 2

B. 2.5

C. 3

D. None of these

http://www.pagalguy.com/discussions/official-2016-time-aimcat-test-series-43495048

Please share the approach

The spring balance of a trader weighed 800 g for 1 kg. What is the net result, is it a profit or a loss and by what per cent?

My answer is 20% loss to trader. But given answer is 25 % profit. Am I correct. If not can you please help me with the soln.

  • 20% loss to trader
  • 25% profit to trader

0 voters

A is a solution with 10% concentration while solution B is a solution with x% concentration and solution C is a solution with x^2% concentration. If A and B mixed in some ratio m:n, we get a solution with concentration 6% , while if A and C are mixed in the same ratio m:n, we get a solution with concentration 14%. What is the value of x

http://www.pariksha9.com/2016/04/16/why-mba-after-engineering/

If set S= {1,2,3,4,5,6,7,8,9,10} then how many sunsets of S are possible so that the sum of the elements is greater than 27?

Off the record, should I enrolled for IMS e test series(6k) or SIMCAT plus(4k) will do? I still haven't started giving tests. Please help.

From a point D outside a circle, two tangents DA and DB are drawn as shown in the figure given below. It is

also given that AC = CB, where point C lies on the given circle, AB = 2 cm and the measure of ∠ACB is 30°

If the measure of ∠ADB is 'k' times the measure of ∠ACB, then what is the value of 'k'?