HALLO COMPETITION

















Logic , Reasoning 

1) Choose the odd one:

A)a)13-22 b) 24-76. c)16-52 d)17-62

B) a)6-16 b)18-48 c)21-56 d)27-76.

C)a)39-77.b)51-119 c)33-88 d)52-91

D)a)26-4 b)226-14 c)274-16. d)82-8

E) a)2-4 b) 4-5 c) 6-18. d)8-32

F) 82, 15., 65, 26 

G) a)4-44 b) 6-64. c)3-30 d)5-35

H) 37, 47, 17, 27.

I) New Delhi, Kolkata, Chennai, Mumbai

15) 9: 26:: 81: ?
A) 2 B) 4 C) 42 D) 242.

16) 3: 26: : ? : 124
A) 142 B) 124. C) 241 D) 214

17) 4: 27:: 9: ?
A) 46 B) 64. C) 83 D) 38

18) 4, ? 144, 400, 900, 1764
A) 69 B) 96 C) 102 D) 44

19) 2, 10, 30, 68, ?
A) 110 B) 120 C) 130. D) 140

20) Odd one out: 9,16,25,36,49,61
A) 9 B) 25 C) 61 D) N

29) Odd one out:
a) 2160, 360, 69., 18, 6, 3
b) 7, 8, 18, 57, 228., 1165, 6996.





2) 7: 32 :: 28 : ?
A) 128. B) 228 C) 328 D) 428

3) BCFG: HILM :: NORQ: ?
A) TUXW. B) TXUW C) TWXU D) TWUX

4) ACEG: ZXVT:: BDFH: ?
A) SUWY B) YEUS C) YUES D) N

5) 8: 9:: 56 : ?
A) 27 B) 63 C) 72. D) 36

6) 25: 37: : 49: ?
A) 26 B) 62 C) 56 D) 65.

7) JkL, AbC, MnO, DeF, PqR, Gh?
A) A B) D C) I. D) K

8) 6, 24, 60, 120, 210, ?
A) 6 B) 33 C) 36 D) 336

9) Y X H G W V F E U T D C S R B ?
A) A. B) B C) C D) D

10) R Q O L H ?
A) A B) B C) C. D) D

11) 2, 6, 12, 20, 30, ?, 56
A) 2 B) 4 C) 24 D) 42.

12) 1, 4, 10, 19, 31, ?
A) 4 B) 6 C) 46. D) 64

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

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




Puzzle Test 

13) A husband and a wife had five married sons and each of them had four children. How many members are there in the family.
A) 32. B) 44 C) 30 D) 16


21) Tarun's age is the cube of a whole number. It was square of another whole number two years ago. How long must wait before his age is again the cube of a whole number.
A) 13 B) 23 C) 32 D) 39.

31) Walking at 6/7 th of his usual speed, a man is 12 minutes late. The usual time taken by him to cover that distance is. 
A) 1 hr B) 1hr 5min C) 1hr 12m D) none 

32) ₹56250 are divided among A, B and C. So that A may receive half as much as B and C together, and B received one fourth of what A and C together receive. The share of A is more than that of B is. 
A) 6000 B) 7000 C) 7500 D) none 

33) A and B having income ratio 5:3, The expense ratio of A, B, C are 8:5:2. If C spends ₹2000 and B saves ₹700, then A's savings are.            
A) 1500 B) 2000 C) 2500 D) none 






Mathematics 

27) If √4096 = 64 then the value of √40.96 + √0.4096 + √0.004096 + √0.00004096
A) 7.1104. B) 0.71104 C) 0.071104 D) n

28) If 2= 5, 4 = 18, 6 = 39 and 8 = 68 then 10 = ?
A) 10 B) 100 C) 105 D) 110

1) (2⁴ -2)/(2³ -1) = ?
A) 2 B) 4 C) 8 D) 16 E) none

2) Which is larger, 2²³⁴ or 5¹⁰⁰

3) 2²(x +3) + 9 - 5 = 32. Then x = ?
A) 4 B) 8 C) 1 D) 16 E) none

4) 4x/6 = 2 + 3x/15. Then x = ? 
A) 17 B) 30 C) 30/17 D) 17/30 E) none

5) 2ˣ + 2ˣ + 2ˣ + 2ˣ = 2²⁰²³
A) 2000 B) 2001 C) 2021  D) none 

6)  Find the correct option:
If 9x² = 360 then
A) x= 40 B) x= -40 & x= 40 C) x=√40 D) x= - √40 & x= √40

7) If 16ˣ = 81 then (2ˣ ⁻¹)² = ?
A) 3 B) 2 C) 3/2 D) 9/4 E) none

8) 20% of 60 is equal to what percent of 80
A) 10 B) 15 C) 20 D) 25 E) none

9) If (8ˣ⁺¹ - 2ˣ⁺³)/(4ˣ - 2ˣ) = 136 then find x.
A) 3 B) 4 C) 5 D) 6 E) none

10) If 3²ʸ -30 = 6 then 3⁻ʸ= ?
A) 6 B) -6 C) 1/6 D) -1/6 E) none

11) If 2ˣ 3ʸ = 72 ×72 then the value of √{(xy+1)/(xy-8)} is
A) 5 B) 4 C) 5/4 D) 4/5 E) none

12) What is the remainder when 2x⁴ - 3x² - x +3 is divided by x+1
A) 1 B) 2 C) 3 D) 4 E) none

13)  Find the number of digits by multiplying these two numbers
(16⁵) × (5¹⁶)
A) 5 B) 16 C) 21 D) 20 E) none

14) (49)¹⁵ - 1 is exactly divisible by:
A) 50 B) 51 C) 8 D) 29

15) If 1/98! + 1/99! ° x/100! Then x=?
A) 100 B) 1000 C) 10000 D) 1/10 E) none

16) If 5ˣ⁻¹ = 1 then simplify 5ˣ⁺¹ = ?
A) 265 B) 275 C) 225 D) 25

17) If 9x² = 144y² then the value of x/y is
A) 12 B) 4 C) 3 D) 1

18) i √{√(i)²²}= ?
A) √-1 B) -1 C) +1 D) None

19) 2¹⁰⁰ - 2⁹⁹ = ?
A) 2¹ B) 2⁹⁹ C) 2¹⁰⁰ D) none

20) If ˣ√(122² - 121²) = 3 then x is
A) 11 B) 21 C) 31 D) none

21) If 3ˣ = 4 then find the value of 9⁵ˣ⁺³ is
A) 3² B) 81 C) 243 D) none

22) Value of √[2 ³√{2} ⁴√(2)}]= ?
A) 1 B) 2 C) 4 D) none

23) (2¹⁰ - 2⁹ - 2⁸)²/16 = ?
A) 256 B) 512 C) 4096 D) none 

24) If 4x - = 2/3 then the value of 81³ˣ/27ʸ is
A) 4/9 B) 8/27 C) 16/81 D) none

25) What is the half of 8⁸
A) 4⁴ B) 8⁷ C) 8⁴ D) 4⁸ E) 2²³ F) none

26) Value of √(9% × 4%) is
A) 6 B) 6% C) 60% D) 600% E) none 

27) (90²+ 30²)/{(90+30)²+(90-30)²} =?
A) 1 B) 2 C) 1/2 D) 3 

28) 9 - 3 ÷ 1/3 + 1 = ?
A) 0  B) 1 C) 2 D) 

29) Value of

A) 11/7 B) 7/11 C) 1/7 D) none 

30) 

31) 

32) 



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


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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