Base Systems

Q.

The sum of all the $4$-digit distinct numbers that can be formed with the digits $1,2,2$and $3$is

1. $26664$

2. $122664$

3. $122234$

4. $22264$

Q.

Fill in the missing number:
5, 11, 19, 29, ?

1. None of the above
2. 31
3. 52
4. 41
5. 51

Q. Fill in the missing number:
3, 15, 35, ?, 99, 143

1. None of the above
2. 68
3. 58
4. 63
5. 45

Q.

If x+(1/x) = 3, then the value of x${}^5$+(1/x${}^5$) =

1. 123

2. 159

3. 108

4. None of these

5. 99

Q. In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then what is the dividend?

1. 4848
2. 240
3. 576
4. 4800

Q. Choose the most appropriate option to replace (?).
24 : 126 :: 48 : ?

1. 433
2. 192
3. 240
4. 344
5. None of the above

Q.

In the following number series, a wrong number is given. Find the wrong number.
3, 10, 24, 54, 108, 220, 444

1. 220
2. 108
3. 10
4. 54
5. 24

Q.

What is the decimal equivalent of the binary number $101010$?

1. $20$

2. $42$

3. $22$

4. $23$

Q. 850 843 829 808 788 745 703

1. 839
2. 808
3. 843
4. 788
5. 745

Q.

The greatest four-digit perfect square number is :

1. 9000

2. 9801

3. 1024

4. 1036

5. 1086

Q.

Mark the wrong number in the series:
66 91 120 153 190 233 276

1. 120
2. 233
3. 153
4. 276
5. 190

Q. 1500 1581 1664 1749 1833 1925 2016

1. 1581
2. 1664
3. 1833
4. 1925
5. 1749

Q.

In the following number series, a wrong number is given. Find the wrong number.
1, 2, 6, 21, 84, 445, 2676

1. 21
2. 2676
3. 84
4. 6
5. 445

Q. Find n if ${}^n{P}_4={18}^{n-1}{P}_2$

1. 6
2. 12
3. 4
4. 8

Q. find the remainder : 7^{21}+7^{22}+7^{23}+7^{24 } is divided by 25

Q. 522 1235 2661 4800 7652 11217 ?

1. 15495
2. 16921
3. 14069
4. 16208
5. 14782

Q. $?-(0.6{)}^2=(0.7{)}^2÷0.35$

1. 1.92
2. 1.62
3. 1.76
4. 1.54
5. 1.32

Q.

What should come in place of the question mark (?) in the following number series?
32, 49, 83, 151, 287, 559, ?

1. 979
2. 1118
3. 1103
4. None of these
5. 1120

Q.

Subtract $972.8-725.18$

Q. 7960 + 2956 - 8050 + 4028 = ?

1. 6984
2. 6884
3. 6894
4. 6954
5. None of these

Q.

2x${}^2$ + 11x + 14 = 0

4y${}^2$ + 12y + 9 = 0

1. (a)

2. (b)

3. (d)

4. (c)

Q.

In the following number series, a wrong number is given. out the wrong number.
8, 18, 40, 86, 178, 370, 752

1. 86
2. 178
3. 40
4. 370
5. 752

Q.

What is the base number for hexadecimal numbers?

Q. 1, 11, 38, 78, 175, 301

1. 78
2. 175
3. 301
4. None of these
5. 11

Q. $(76.32{)}^2-(28.82{)}^2=?$

1. 5014.25
2. 4975
3. 4994.15
4. 5000
5. None of these

Q.

What should come in place of the question mark (?) in the following number series?
7413, 7422, 7440, ?, 7503, 7548

1. 7464
2. 7456
3. 7466
4. 7477
5. None of the above

Q.

What should come in place of the question mark (?) in the following number series?
4, 16, 36, 64, 100, ?

1. 120
2. 136
3. 144
4. 180
5. None of the above

Q.

What should come in place of the question mark (?) in the following number series?
102, 99, 104, 97, 106, ?

1. 96
2. 95
3. 100
4. 94
5. None of these

Q. How many villages in all have adequate water supply ?

1. 594
2. 810
3. None of these
4. 702
5. 450

Q. $\frac{{24.96}^2}{(34.11+20.05)}+67.96+89.11=?$

1. 884
2. 546
3. 252
4. 424
5. 170