 # Official Quants Group|CAT:2019|MBA:2020-2022

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Quantitative Ability as per CAT'16

• Trigonometry
• Algebra
• Geometry
• Arithmetic
• Mensuration
• Modern Mathematics
• Number System
• Higher Maths

Question types you can expect CAT:
Number Systems; LCM and HCF; Profit, Loss and Discount; Percentages;Speed, Time and Distance; Time and Work; Simple and Compound Interest ; Ratio and Proportion; Averages; Quadratic Equations; Linear Equations; Complex Numbers; Logarithm; Binomial Theorem; Sequences and Series; Surds and Indices; Inequalities; Probability; Permutation and Combination; Set Theory; Functions; Geometry; Mixtures and Alligations; Trigonometry; Coordinate Geometry; and Mensuration.

0.0310 lies between the reciprocals of which pair of consecutive integers?

• 31 and 32
• 33 and 34
• 32 and 33
• 29 and 30

0 voters

A number N^2 has 15 factors. How many factors can N have?

If 2n has 28 factors,3n has 30 factors. Then find out factors of 6n?

Explain?

I have one-rupee coins, 50-paisa coins and 25-paisa coins.The number of coins are in the ratio 2.5 : 3 : 4If the total amount with me is Rs. 210, find the number of one-rupee coins?

If a four-digit natural comber is 7083 more than the number formed by reversing the order of its digits, then how many such natural numbers are possible?

• 24
• 18
• 36
• 27

0 voters

39x-18y=1 x and y are the positive integers find the no of solutions

n^2 + 5n + 6 is a multiple of 6. n is natural number less than 100. How many values can n take?

Ans :

1. 33
2. 65
3. 66
4. 67

Sum of three Natural numbers a, b and c is 10. How many ordered triplets (a, b, c) exist?

1. 45
2. 36
3. 54
4. 28

EXPLAIN?

A car driver, driving in a fog, passes a pedestrian who was walking at the rate of 2 km/ h in the same direction. The pedestrian could see the car for 6 minutes and it was visible to him up to a distance of 0.6 km. What was the speed of the car? All options are in Kmph.

• 20
• 15
• 30
• 8

0 voters

Two trains A and B start from station X to Y, Y to X respectively. After passing each other, they take 12 hours and 3 hours to reach Y and X respectively. If train A is moving at the speed of 48 km/ h, the speed of train B is ... ? All options are in kmph. Approach please.

• 96
• 128
• 108
• 64

0 voters

Find the non- integral solutions of the eqn:
3a+ 2b+ c= 197.
One line solution is (202C2- 3*101)/6. But what is the logic?

Got this ques from some other group. can anyone explain here?

X=3^a * 4^b * 5^c * 9^d where a,b,c and d are odd numbers >1 .The number of factors of X that are perfect squares?

A shopkeeper wants to earn 20% profit on selling 750 gram wheat at market price. If he sells pure wheat at market price, he earns 10% profit. How much impurities(in grams) he should add to fullfill his objective if he buys the wheat in Rs. 600?

CAT 2001

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least?