General Aptitude - Number System
Exam Duration: 45 Mins Total Questions : 30
There are four prime numbers written in ascending order. The product of the first three is 1001 and that of the last three is 2431. Find the first prime number
- (a)
7
- (b)
11
- (c)
3
- (d)
5
What is the remainder when \({ 7 }5^{ 3 }\) is divided by 4?
- (a)
1
- (b)
1
- (c)
3
- (d)
2
A man is typing numbers 5 to 700 on his computer. How many times does he press the key of his computer?
- (a)
988
- (b)
1988
- (c)
1888
- (d)
1990
What least number must to be added to 15763 so that it is exactly divisible by 18?
- (a)
5
- (b)
18
- (c)
12
- (d)
13
What least number must be subtracted from 178669 ao that it is exactly divisible by 36?
- (a)
18
- (b)
1
- (c)
36
- (d)
5
Find the numbers of prime factors contained in the product of \({ 23 }^{ 11 }\times { 7 }^{ 4 }\times { 3 }^{ 5 }\)
- (a)
25
- (b)
17
- (c)
30
- (d)
20
Two numbers when divided by a certain divisor give remainders 350and 20 respectively and when their sum is divided by the same divisor, the remainder is 1.5 find the divisor.
- (a)
30
- (b)
40
- (c)
35
- (d)
45
A certain number when successively dividedby 5 and 7 leaves the remainder, if the same number is divided by 35?
- (a)
21
- (b)
23
- (c)
24
- (d)
29
What is the difference between the greatest and th smallest five digit numbers formed using the digits 7,0,3,4 and 2 without repeating the digits?
- (a)
65672
- (b)
53978
- (c)
54672
- (d)
65978
A boy had to do a multiplication.instead of taking 35 as one of the multipliers, he took 53. As a result the product went up by 540.What is the new product?
- (a)
1590
- (b)
1450
- (c)
1550
- (d)
1420
If both \({ 5 }^{ 2 }\quad \)and \( { 7 }^{ 3 }\)are factors of the number \(p\times { 4 }^{ 3 }\times { 7 }^{ 2 }\times { 13 }^{ 5 }\), then what is the least possible value of p?
- (a)
175
- (b)
145
- (c)
190
- (d)
156
A worker earns rs.40 the first day and spends rs 25 on the second day. He earns rs 40 on the third day and spends rs 25 on the fourth day and so on. On which day would he have rs 100
- (a)
10
- (b)
9
- (c)
8
- (d)
11
A shepherd has 324 sheeps, 396 goats and 428 cows. He wants to arrange them into groups of equal sie without mixing. Find the least number of groups required to arrange them.
- (a)
285
- (b)
287
- (c)
284
- (d)
289
A number 475 is divided into two parts in such a way that the LCM and HCF of the two parts is 2250 and 25 respectively. Find the two numbers.
- (a)
250,225
- (b)
200,275
- (c)
175,300
- (d)
240,235
A traffic lights at three different road crossingschange after every 50 s, 75 s and 100 s respectively. If thet start changing simultaneously at 10 am, after how much time will they change again simultaneously?
- (a)
6 min
- (b)
5 min
- (c)
3 min
- (d)
8 min
Find the unit digit in the expansion of \({ 42 }^{ 23 }\)
- (a)
4
- (b)
8
- (c)
6
- (d)
2
A worker was engaged for a certain number of days and was promised to be paid rs1755. Heremained absent for some days and was paid rs 1365 only. Waht were his daily wages?
- (a)
182
- (b)
195
- (c)
185
- (d)
192
A and B had some candies each. If A gave 5 candies to B will have twice as many as A. Instead of that, if B were to give 5 candies to A, then they will both have the same number of candies. How amny did A have?
- (a)
28
- (b)
21
- (c)
26
- (d)
25
there was 240 multiple choice questions in an entrance examination of amedical college. Aa candiate was given 2 marks for every correct answer and penalised 1/2 mark for every wrong answer. The candidate scored 160 marks in the paper having answered all the questions. Find the number of correct answers given by the candidate.
- (a)
108
- (b)
112
- (c)
116
- (d)
104
Find the HCF of 40 and 64.
- (a)
4
- (b)
8
- (c)
2
- (d)
10
Find the HCF of \({ 2 }^{ 2 }\times { 3 }^{ 3 }\times { 5 }^{ 2 },{ 2 }^{ 3 }\times { 3 }^{ 2 }\times 5,{ 5 }^{ 2 }\times 7\)
- (a)
\({ 2 }^{ 2 }\times { 3 }^{ 2 }\times 5\times 7\)
- (b)
\({ 2 }^{ 2 }\times { 3 }^{ 3 }\times 5\)
- (c)
\({ 2 }^{ 3 }\times { 3 }^{ 2 }\times 7\)
- (d)
\({ 3 }^{ 2 }\times { 5 }^{ 2 }\times 7\)
Four wheels moving 12,25,20 and 30 revolutions in a minute starting at a certai point on the circumference downwards. After what interval of time will they come together again in the same position?
- (a)
30 s
- (b)
20 s
- (c)
15 s
- (d)
45 s
Find the smallest 4 digit number that is eactly divisible by 8,10 and 12.
- (a)
1080
- (b)
1100
- (c)
1050
- (d)
1120
Findthe HCF of \(\frac { 2 }{ 5 } ,\frac { 12 }{ 11 } ,\frac { 1 }{ 3 } \)
- (a)
\(\frac { 1 }{ 165 } \)
- (b)
\(\frac { 5 }{ 165 } \)
- (c)
\(\frac { 2 }{ 165 } \)
- (d)
\(\frac { 12 }{ 165 } \)
Find the greatest five digit number exactly divisible by 6,8, and 12.
- (a)
99924
- (b)
99988
- (c)
99984
- (d)
99972
The number of boys in a class is three times the number of girls.Which one of the following numbers cannot represent the total number of children in the class?
- (a)
48
- (b)
44
- (c)
42
- (d)
40
If 8+12=2,7+14=3, then 10+18=?
- (a)
10
- (b)
4
- (c)
6
- (d)
18
Which among the following is the least number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6, when divided by 6 leaves a remainder of 5, when divided by 5 leaves a remainder of 5, when divided by 4 leaves a reaminder 3, when divided by 3 leaves a remainder of 2, when divided by 2 leves a reaminder of 1 ?
- (a)
7559
- (b)
839
- (c)
5039
- (d)
None of these
The number zero (0) is surrounded by the same 2 digit number on both (left and right) sides: for example 25025, 67067 etc. The largest number that always divides such a number is
- (a)
7
- (b)
11
- (c)
13
- (d)
1001
If x,y and z are three integers such that x=y=16, y=z=20 and +x=22, then xy=
- (a)
880
- (b)
981
- (c)
900
- (d)
819
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