RRB Mathematics - Number System
Exam Duration: 45 Mins Total Questions : 30
What is the unit digit in \({ \left( { 4137 } \right) }^{ 754 }\)?
- (a)
1
- (b)
3
- (c)
7
- (d)
9
\(9{3\over4} + 7 {2\over 17} - 9 {1\over15} = ?\)
- (a)
\(7{719\over1020}\)
- (b)
\(9{817\over1020}\)
- (c)
\(9{719\over1020}\)
- (d)
\(7 {817\over1020}\)
- (e)
none of these
9548 + 7314 = 8362 + ?
- (a)
8230
- (b)
8410
- (c)
8500
- (d)
8600
- (e)
none of these
If 1400 x x = 1050. Then , x = ?
- (a)
\(1\over4\)
- (b)
\(3\over5\)
- (c)
\(2\over3\)
- (d)
\(3\over4\)
- (e)
None of these
\(\left( 800\div 64 \right) \times \left( 1296\div 36 \right) =?\)
- (a)
420
- (b)
460
- (c)
500
- (d)
540
- (e)
none of these
\(35+15\times 1.5=?\)
- (a)
75
- (b)
51.5
- (c)
57.5
- (d)
5.25
- (e)
none of these
\(587\times 999=?\)
- (a)
586413
- (b)
587523
- (c)
614823
- (d)
615173
\(2056\times 987=?\)
- (a)
1936372
- (b)
2029272
- (c)
1896172
- (d)
1923472
- (e)
none of these
\(1904\times 1904=?\)
- (a)
3654316
- (b)
3632646
- (c)
3625216
- (d)
3623436
- (e)
none of these
\(106\times 106-94\times 94=?\)
- (a)
2400
- (b)
2000
- (c)
1904
- (d)
1906
- (e)
none of these
\(8796\times 223+8796\times 77=?\)
- (a)
2736900
- (b)
2638800
- (c)
2658560
- (d)
2716740
- (e)
none of these
\(397\times 397+104\times 104+2\times 397\times 104=?\)
- (a)
250001
- (b)
251001
- (c)
260101
- (d)
261001
\(\frac { (963+476)^{ 2 }+(963-476)^{ 2 } }{ (963\times 963+476\times 476) } =?\)
- (a)
1449
- (b)
497
- (c)
2
- (d)
4
- (e)
none of these
Which one of the following numbers is completely divisible by 45?
- (a)
181560
- (b)
331145
- (c)
292860
- (d)
203550
- (e)
none of these
Which one of the following is a prime number?
- (a)
119
- (b)
187
- (c)
247
- (d)
551
- (e)
none of these
Which one of the following cannot be the square of a natural number?
- (a)
30976
- (b)
75625
- (c)
28561
- (d)
143642
- (e)
none of these
Which natural number is nearest to 8485, which is completely divisible by 75?
- (a)
8475
- (b)
8500
- (c)
8550
- (d)
8525
- (e)
none of these
The smallest 5-digit number is exactly divisible by 41 is :
- (a)
10041
- (b)
10004
- (c)
10045
- (d)
10025
- (e)
none of these
On dividing a number by 357,we get 39 as remainder.On dividing the same number by 17,what will be the remainder?
- (a)
0
- (b)
3
- (c)
5
- (d)
11
On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5?
- (a)
0
- (b)
1
- (c)
2
- (d)
4
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
- (a)
\(\frac {12}{35}\)
- (b)
\(\frac {1}{35}\)
- (c)
\(\frac {35}{8}\)
- (d)
\(\frac {7}{32}\)
If 60% of \(\frac {3}{5}\)of a number is 36, then the number is :
- (a)
80
- (b)
100
- (c)
75
- (d)
90
On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is :
- (a)
10
- (b)
11
- (c)
12
- (d)
13
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
- (a)
3
- (b)
4
- (c)
6
- (d)
7
The difference of the squares of two consecutive odd integers is divisible by which of the following integers ?
- (a)
3
- (b)
6
- (c)
7
- (d)
8
Which one of the following numbers will completely divide (461 + 462 + 463 + 464)?
- (a)
3
- (b)
10
- (c)
11
- (d)
13
If the number 653 xy is divisible by 90,then (x + y) = ?
- (a)
2
- (b)
3
- (c)
4
- (d)
6
(51 + 52 +53 + ... + 100) = ?
- (a)
2525
- (b)
2975
- (c)
3225
- (d)
3775
How many terms are there in the G.P 3,6,12,24,...,384?
- (a)
8
- (b)
9
- (c)
10
- (d)
11
- (e)
7
(22 + 42 + 62 + ... + 202) = ?
- (a)
770
- (b)
1155
- (c)
1540
- (d)
385 x 385
