QUICK REVISION PAPER(CAT)

1) In How many ways can 5 persons occupy 3 seats?
A) 15 B) 20 C) 30 D) 60

2) In How many ways can 5 children stand in a que ?
A) 5 B) 25 C) 60 D) 120

3) In How many ways can 4 different books be arranged in a shelf ?
A) 4  B) 8    C) 24 D) 16

4)  Ten students are participating in a race. In how many different ways can the first prize be won ?
A) 30 B) 60 C) 120 D) 720

4) What's the next term in the sequence?
3, 14, 39, 84, ?

5) 2/3, 3/8, 4/15, 5/24, 6/35, ?

6) (20!. 22!)/(19! .23!) 
A) 20/22 B) 22/23 C) 22/19 D) 20/19

7) (2²⁰ + 4¹⁰+ 4¹¹+ 8⁸)/(2²¹+ 8⁷+ 4¹²)=

8) 9⁹+ 9⁹+ 9⁹= 3ᵐ then find m
A) 17 B) 18 C) 19 D) 20

9) How many factors does 78645 have ?
A) 10 B) 7 C) 12 D) 9 E) none

10) Value of: 1 - 2 + 3 - 4 + 5 - 6 +7 -8 + 9 - 10 + 11 - 12 +13 -14 +15 -16 +17 - 18 + 19 is
A) 22 B) 32 C) 14 D) 3 E) none

11) Value of x:   ³√y¹⁸/y² = yˣ is
A) 0 B) 1 C) 4 D) 12 E) none 

12) 2 log₃x + 2 log₉x = 9 value of x is 
A) 1 B) 3 C) 9 D) none 

13)

14) 

15)
16) If a number is increased 20% now what percent must be reduced from that increased number to get the original.

17) 
18) 
19) Find the value of of x: 
             √{(9²-9)/√9}= √x

20) The product of two Integers is 336 and their sum is 37. Find their difference.

21) Value of x: (6!)!/(3!)! = x!

22) (11! - 10!)/9!= ?
a) 1  b) 100 c) 10 d) 110

23) What is the value of x/y ?
10= (y +3x)/x
a) 2  b) 1/5 c) 1/7 cannot be determined

24) 

25) D sells a table to E at a profit of 30% and E sells it to F at a loss of 30%. What is the ratio of cost price of D and F ?

26) 53!/(51!+ 52!)= ?

27) 
28) 
29) Find the units digit of the expression 216⁵¹⁹² + 25⁴³¹⁷ + 97⁷⁸⁹²= ? 

30) √(-11)²=?
a) 11 b) -11 c) ±11  d) none 

31) If x= 6², then find xˣ
a) 6⁶ b) 6³⁶ c) 6⁷² d) 6²¹⁶

32) 

33) 

34) 

35)

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