CAT Quantitative Aptitude Questions 2022 – PaGaLGuY

A certain no. Of trucks were requird to transport 60 tons of steel wire from one place to other . It was found that since each truck could not take 0.5 tons of cargo less , another 4 trucks were/needed . how many trucks were initially planned to be used?

  • 25
  • 20
  • 15
  • 10

0 voters

What are last three digits of 2003 ^ 2002 ^ 2000? Approach please.

Questions 20,21?

There are 20 students in a class studying 3 different subjects maths , biology and french. None of these students take up a single subject alone. If each of these subjects is taken by a different number of students what can be the maximum number of students taking up all the three subjects?

  • 16
  • 20
  • 14
  • 17

0 voters

 A bouncing ball is traversing a semi-circular path of radius 0.7 m. After every bounce the ball traverses with constant speed. From the point at which the ball bounces for the first time, there are laser beams placed 1 m apart at a height of 0.5 m from the ground. There are 20 such laser beams. The ball passes above each laser beam, below each laser beam, or through each laser beam. (Assume that the path and speed of the ball does not change if it passes through a laser beam). 

 Find the number of times the ball passes above the laser beam. 

Approach??

The number of ways of distributing 4 identical bags to 4 boys is? OA - 7C3 . Can anyone please explain this?

Form a tank full of water, the water is discharged into a tub through a pipe. what is the quantity of water discharged from the tank in a minute?


I. The tank was emptied in 30 minutes.

II. The dimensions of the tub was 3m X 2m X 2m.


A. if the qustion can be answered using one of the statements alone, but can't be answered using the other statement alone.


B. if the question can be answered using either statement alone.


C. can be answered using I and II but can't be answered using I/II alone.


D. Can't be answered even if using I and II together.

 Q.76
Two different two-digit natural numbers are written side by side such that the larger number is written on the left of the smaller number. When the absolute difference of the two numbers is subtracted from the four-digit number so formed, the number obtained is 5481. What is the sum of the two twodigit numbers? 


 a   70    b  71     c  72    d  73      OA- D


Please solve:-


http://www.cleducate.in/LSTQuestionImg/772667/518561/73.gif


 1. 81

2. 117

3. 93

4. 109 


93 is the answer


 The HCF of three natural numbers x, y and z is 13. If the sum of x, y and z is 117, then how many ordered triplets (x, y, z) exist? 


 1. 28

2. 27

3. 54

4. 55 

 Which of the following number(s) is/are not prime?
(i) 2^5001 + 1
(ii) 2^5002 + 1
(iii) 2^5003 + 1 


 1. (i) and (ii)

2. (i) and (iii)

3. (ii) and (iii)

4. (i), (ii) and (iii)


Answer is 4

 

 P is a point outside a circle with center O and radius 6 units, such that OP = 10 units. Tangents are drawn from P to the circle touching it at M and N, as shown below. The line segment OP cuts the circle at point C and the tangent drawn to the circle at C meets PM and PN at points A and B respectively. What is the length (in units) of the inradius of triangle ABP? 


image 👍 

http://www.cleducate.in/LSTQuestionImg/772667/518575/87.gif


 1. 1.50

2. 1.67

3. 1.73

4. 2.00


Answe is 1

 

In a hemispherical igloo an eskimos height just touches the roof when he stands erect at the centre of the floor while his son can ply over an area of 9586sq units of the floor without stooping! if the eskios height is 65units  what is his sons height? pls answer this q!

 

In an examination there are three subjects A,B and C. A student has to pass in each subject. 20% of the students failed in A, 22% failed in B and 16% failed in C .The total number of students passing the whole examination lies between?

  • 58%-84%
  • 58%-71%
  • 42%-71%
  • 42%-84%

0 voters

In an examination there are three subjects A,B and C. A student has to pass in each subject. 20% of the students failed in A, 22% failed in B and 16% failed in C .The total number of students passing the whole examination lies between?

  • 42%-84%
  • 58%-71%
  • 42%-71%
  • 58%-84%

0 voters

In an examination there are three subjects A,B and C. A student has to pass in each subject. 20% of the students failed in A, 22% failed in B and 16% failed in C .The total number of students passing the whole examination lies between?

  • 58%-71%
  • 42%-84%
  • 58%-84%
  • 42%-71%

0 voters

A circular ring of radius 3 cm is suspended from point  I by four identical strings tied at equal intervals on its circumference . The ring is in a horizontal plane. The point  I is 4cm vertically above the ring's centre.If the angle between any consecutive strings is Q,the find tge value of cosQ.... pls help me with this one!

X is a set of first 1990 natural numbers. A is an A.P having atleast 3 elements. First element is the latest element of X and its last element is the greatest element of X. How many possibilities does A have?

Can anyone please explain me the concept of circular permutation? It will be a great help. :)

In a right angled triangle, angle B and angle A area acute angles. If Ang(A)-Ang(B)=K, where A and B are integers, then how many integer values can K take?