10

Number System
1. In a three digit number, the digit in the unit’s place is twice
the digit in the ten’s place and 1.5 times the digit in the
hundred’s place. If the sum of all the three digits of the
number is 13, what is the number ?
(1) 364 (2) 436
(3) 238 (4) 634
(5) None of these
2. By how much is
6
11
th of 506 lesser than
3
5
th of 895 ?
(1) 178 (2) 219
(3) 143 (4) 261
(5) None of these
3. In the fractions
5 6 7 8
, , ,
14 11 9 13
and
9
10
are arranged in
ascending order of their values, which one will be the
fourth ?
(1)
7
9
(2)
5
14
(3)
8
13
(4)
9
10
(5) None of these
4. If the numerator of a fraction is increased by 300% and
the denominator is increased by 500%, the resulatant
fraction is
5
12
. What was the original fraction ?
(1)
8
5
(2)
5
11
(3)
12
5
(4)
5
7
(5) None of these
5. One-fifth of a number is 62. What will 73% of that number
be ?
(1) 198.7 (2) 212.5
(3) 226.3 (4) 234.8
(5) None of these
6. What is 348 times 265 ?
(1) 88740 (2) 89570
(3) 95700 (4) 92220
(5) None of these
7. a, b, c, d and e are five consecutive even numbers. If the
sum of ‘a’and ‘d’is 162. What is the sum ofall the number?
(1) 400 (2) 380
(3) 420 (4) Cannot be determined
(5) None of these
8. Two numbers are such that the sum of twice the first
number and thrice the second number is 36 and the sum
of thrice the first number and twice the second number is
39. Which is the smaller number ?
(1) 9 (2) 5
(3) 7 (4) 3
(5) None of these
9. What is the greater of two numbers whose product is 1092
and the sum of two number exceeds their difference by 42?
(1) 48 (2) 44
(3) 52 (4) 54
(5) None of these
10. Which of the following smallest numbers should be added
to 6659 to make it a perfect square ?
(1) 230 (2) 65
(3) 98 (4) 56
(5) None of these
11. There are 7 dozen candles kept in a box. If there are 14
such boxes. How many candles are there in all the boxes
together ?
(1) 1176 (2) 98
(3) 1216 (4) 168
(5) None of these
12. The sum of the two digits of a two digit number is 12 and
the digit number is 12 and the difference between the two
digits of the two digit number is 6. What is the two-digit
number ?
(1) 39 (2) 84
(5) None of these
13.
3
4
th of
2
9
th of
1
5
th of a number is 249.6. What is 50%
of that number ?
(1) 3794 (2) 3749
(3) 3734 (4) 3739
(5) None of these
14. If the numerator of a fraction is increased by 200% and
the denominator of the fraction is increased by 120% , the
resultant fraction is
4
11
. What is the original fraction ?
(1)
4
15
(2)
3
11
(3)
5
12
(4)
6
11
(5) None ot these
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2
CAREER POWER
CAREER POWER, G-7, Roots Tower, Laxmi Nagar, District Centre, Delhi-92, www.careerpower.in
Chapterwise Bank PO Quantitative Aptitude
.ANSWER KEY.
1. (2) 2. (4) 3. (1) 4. (5) 5. (3) 6. (4)
7. (5) 8. (5) 9. (3) 10. (2) 11. (1) 12. (4)
13. (5) 14. (1) 15. (1) 16. (5) 17. (2) 18. (2)
19. (4) 20. (4) 21. (4) 22. (5) 23. (2) 24. (1)
25. (5)
15. The product of three consecutive even numbers is 4032.
The product of the first and the third number is 252. What
is five times the second number ?
(1) 80 (2) 100
(3) 60 (4) 70
(5) 90
16. The sum of nine consecutive odd numbers of set-A is 621.
What is the sum of different set of six consecutive even
numbers whose lowest number is 15 more than the lowest
number of set-A ?
(1) 498 (2) 468
(3) 478 (4) 488
(5) None of these
17. The sum of six consecutive even numbers of set-A is 402.
What is the sum of another set-B of four consecutive
numbers whose lowest number is 15 less than double the
lowest number of set-A ?
(1) 444 (2) 442
(3) 440 (4) 446
(5) None of these
18. The difference between the sum of four consecutive odd
numbers and three consecutive even numbers together is
20. Also, the largest even number is 5 more than the largest
odd number. What is the sum of the smallest odd number
and the smallest even number ?
(1) 75 (2) 77
(3) 85
(4) Cannot be determined
(5) None of these
19. What is the least number that can be added to the number
1020 to make it a perfect square ?
(1) 65 (2) 12
(3) 59 (4) 4
(5) None of these
20. The sum of the five consecutive even numbers of set-A is
280. What is the sum of different set of five consecutive
numbers whose lowest number is 71 less than double the
lowest number of set-A ?
(1) 182 (2) 165
(3) 172 (4) 175
(5) None of these
21. The sum of the squares of two consecutive even numbers
is 6500. Which is the smaller number ?
(1) 54 (2) 52
(3) 48 (4) 56
(5) None of these
22. The sum of the digits of a two digit number is 15 and the
difference between the two digits of the two digit number
is 3. What is the product of the two digits of the two-digit
number ?
(1) 56 (2) 63
(3) 42
(5) None of these
23. The digit in the unit’s place of a three digit number is thrice
the digit in the ten’s place and the digit in the hundred’s
place is two-third of the digit in the ten’s place. If the sum
of the three digits of the number is 14, what is the three
digit number ?
(1) 932 (2) 239
(2) 326
(5) None of these
24. Two-third of the first number is equal to the cube of the
seconds number. If the second number is equal to twelve
percent of 50, what is the sum of the first and the second
number ?
(1) 330 (2) 360
(2) 390 (4) 372
(5) None of these
25. The sum of three consecutive odd numbers and three
consecutive even numbers together is 231. Also, the
smallest odd number is 11 less than the smallest even
number. What is the sum of the largest odd number and
the largest even number ?
(1) 82 (2) 83
(5) None of these
HINTS & SOLUTIONS

3
CAREER POWER
1. (2) Let the ten’s digit = x.
Unit’s digit = 2x and hundred’s digits =
2
15
x
According to the question,
x + 2x +
2
15
x
= 13 Þ
15 3 2
1.5
+ +x x x
= 13
Þ 6.5x = 13 × 1.5 Þ x =
13 15
6.5
´
= 3
Unit’s digit = 6 and hundred’s digit =
6
1.5
= 4
Number = 436
2. (4) Required difference =
3
5
× 895 –
6
11
× 506
= 537 – 276 = 261
3. (1) The decimal equivalent of fractions :
5
14
= 0.36 ;
6
11
= 0.545 ;
7
9
= 0.78 ;
8
13
= 0.62 ;
9
10
= 0.9
Clearty, 0.36 < 0.545 < 0.62 < 0.78 < 0.9
i. e.
5 6 8 7 9
14 11 13 9 10
< < < <
4. (5) Let the original fraction be =
x
y
.
400
600
´
´
x
y
=
5
12
Þ
x
y
=
5 6
12 4
´ =
5
8
5. (3) Let the number be x.
5
x
= 62 Þ x = 62 × 5 = 310
73% of 310 =
73
100
× 310 = 226.3
6. (4) 265 × 348 = 92220
7. (5) Let the five consecutive even number be x, x + 2 x + 4
x + 6 and x + 8 respectively.
x + x + 6 = 162
Þ 2x = 162 – 6 = 156
Þ x =
156
2
= 78
Sum of all numbers
= 78 + 80 + 82 + 84 + 86 = 410
8. (5) Let the number be x and y.
Accoding to the question,
2x + 3y = 36 ...(i)
3x + 2y = 39 ...(ii)
By equastion (i) × 3 – (ii) × 2,
6x + 9y – 6x – 4y = 108 – 78
Þ 5y = 30 Þ y =
30
5
= 6
From equation (i), we have,
2x + 3 × 6 = 36
Þ 2x = 36 – 18 = 18 Þ x =
18
2
= 9
The smaller number = 6
9. (3) Let the number be x and y.
x + y – (x – y) = 42
Þ 2y = 42 Þ y =
42
2
= 21
x =
1092
21
= 52
10. (2) 81 × 81 = 6561
82 × 82 = 6724
To make 6659 a perfect square the number to be
added = 6724 – 6659 = 65
11. (1) Total number of candles
= 7 × 12 × 14 = 1176
12. (4) Let the two digit number be = 10 x + y where x > y
x + y = 12 and x – y = 6
Adding these equations,
12
6
2 18
+ =
- =
=
x y
x y
x
Þ x =
18
2
= 9
y = 12 – 9 = 3
Number = 93
Again, let the number be 10x + y where x < y.
Then, x + y = 12 and y – x = 6
Adding these equations,
2y = 18 Þ y =
18
2
= 9
From equation (i),
x = 3
Number = 39
Thus we get two numbers. This does not satisfy the
uniqueness of answer.

4
CAREER POWER
13. (5) Let the number be x.
x ×
1
5
×
2
9
×
3
4
= 249.6
Þ x = 249.6 × 30 = 7488
50% of 7488 = 7488 ×
1
2
= 3744
14. (1) Let the original fraction be
x
y
.
300
100
220
100
x
y
´
´
=
4
11
Þ
30
20
x
y
=
4
11
Þ
x
y
=
4 22
11 30
´ =
4
15
15. (1) Second number =
4032
252
= 16
Required answer = 5 × 16 = 80
16. (5) Fifth number of set-A =
621
9
= 69
Smallest number of set-A = 61
Smallest number of set-B = 61 + 15 = 76
Required sum = 76+78+80+82+84+86 = 486
17. (2) Third even number =
402
6
– 1 = 67 – 1 = 66
Smallest even number = 62
Smallest number of set-B = 2 × 62 – 15 = 109
Required sum = 109 + 110 + 111 + 112 = 442
18. (2) Let the consecutive odd number be :
x, x + 2, x + 4 and x + 6
Largest even numbers = x + 11
Other even numbers = x + 7 and x + 9
x + x + 2 + x + 4 + x + 6 – (x+7+x+9+x+11) = 20
Þ x – 15 = 20 Þ x = 15 + 20 = 35
Required sum = x + x + 7 = 2x + 7
= 2 × 35 + 7 = 77
19. (4) 32 × 32 = 1024
Required number = 1024 – 1020 = 4
20. (4) For set-A,
x + x + 2 + x + 4 + x + 6 + x + 8 + 280
Þ 5x + 20 = 280
Þ 5x = 280 – 20 = 260
Þ x =
260
5
= 52
The lowset number of set-B = 2 × 52 – 71 = 33
Required sum = 33 + 34 + 35 + 36 + 37 = 175
21. (4) 562
+ 582
= 3136 + 3364 = 6500
Smaller number = 56
22. (5) Let the number be 10x + y and x > y.
x + y = 15 ... (i)
and, x – y = 3 ... (ii)
On adding, x = 9
From equation (i),
9 + y = 15 Þ 15 – 9 = 6
xy = 9 × 6 = 54
23. (2) Let the ten’s digit be x.
Unit’s digit = 3x
Hundred’s digit =
2
3
x
x + 3x +
2
3
x
= 14
Þ 3x + 9x + 2x = 14 × 3
Þ 14x = 14 × 3 Þ x = 3
Number = 239
24. (1) Second number =
50 12
100
´
= 6
First number =
3
6 3
2
´
= 324
Required sum = 324 + 6 = 330
25. (5) The smallest odd number = x
The smallest even number = x + 11
x + x + 2 + x + 4 + x + 11 + x + 13 + x + 15 = 231
Þ 6x + 45 = 231
Þ 6x = 231 – 45 = 186
x =
186
6
= 31
Required sum = x + 4 + x + 15
= 2x + 19 = 2 × 31 + 19 = 62 + 19 = 81

10

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