Bank Math Master

Question: A number when multiplied by 16 increases by 540. What is the number?

Solution:
Let the number is x.

As per question;
16x - x = 540
⇒ 15x = 540
∴ x = 36

Question: Find the HCF of 210, 385, and 735.

Solution:
HCF of 210, 385, and 735.

Factor of 210 = 2 × 3 × 5 × 7
Factor of 385 = 5 × 7 × 11
Factor of 735 = 3 × 5 × 7 × 7 
∴ HCF of (210, 385 and 735) = 35 

Question: {(2.39)² - (1.61)²}/(2.39 - 1.61) = ?

Solution:
Expression = (a² - b²)/(a - b)
= {(a + b)(a - b)}/(a - b)
= (a + b)

∴ {(2.39)² - (1.61)²}/(2.39 - 1.61) 
= (2.39 + 1.61)
= 4

Question: If two-third of three-fourth of a number is 34, find the 20% of that number?

Solution:
Let, the number be x.

ATQ,
(2/3) × (3/4) × x = 34
⇒ (1/2) × x = 34
∴ x = 68

20% of 68 = (20 × 68)/100 = 13.6

Question: What is the L.C.M. of 25, 30, 35 and 40?

Solution:
25 = 5 × 5,
30 = 5 × 3 × 2,
35 = 5 × 7,
40 = 2 × 2 × 2 × 5

Required LCM = 2 × 2 × 2 × 5 × 5 × 3 × 7 = 4200

Question: When 0.232323..... is converted into a fraction, then the result is-

Solution:

Question:


Solution:
 

Question: What is the sum of all odd numbers up to 240?

Solution:
Number of odd numbers up to 240 = 240/2 = 120

Sum of first n odd numbers = n²

n = 120

Required sum = 120² = 14400

Question: What is the H.C.F. of 4/9, 10/21 and 20/63?

Solution:
H.C.F of 4/9, 10/21 and 20/63 = H.C.F of 4,10 and 20 / L.C.M of 9,21 and 63

H.C.F of 4, 10 and 20 = 2
& L.C.M. of 9, 21 and 63 = 63.

∴ Required H.C.F. = 2/63

Question: 0.009/? = 0.01

Solution:
Let
.009/x = .01;     

Then x = .009/.01
= .9/1
= .9

Question: Simplify

Solution:

= 22 - [9 - {6 - (10 - 1)}]
= 22 - [ 9 - { 6 - 9}]
= 22 - [9 - {-3}]
= 22 - [9 + 3]
= 22 - [12]
= 22 - 12
= 10

Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is-

Solution:
Let the numbers be x and y. [x > y]
Then, xy = 9375 and
x/y = 15

(xy)/(x/y)  = 9375/15
⇒ y² = 625
∴ y = 25

Now,
x = 15y = (15 × 25) = 375.
Sum of the numbers = x + y = 375 + 25 = 400

Question: What is the greatest number which divides 639, 1065 and 1491 exactly?

Solution:
H.C.F. of 639 and 1065 is 213.
H.C.F. of 213 and 1491 is 213.

Question: Which of the following fractions is greater than 3/4 and less than 5/6?

Solution:
3/4 = 0.75,   
5/6 = 0.833,   

1/2 = 0.5,   
2/3 = 0.66,   
4/5 = 0.8,   
9/10 = 0.9

Clearly, 0.8 lies between 0.75 and 0.833.

Question: The value of 12 ÷ (1/2) + {(35 ÷ 7) of 40} + 20 - 15 of 10 is-

Solution:
12 ÷ (1/2) + {(35 ÷ 7) of 40} + 20 - 15 of 10
= 12 ÷ (1/2) + {(5) of 40} + 20 - 15 of 10
= 12 ÷ (1/2) + 5 × 40 + 20 - 150
= 12 × 2 + 200 + 20 - 150
= 244 - 150
= 94

∴ The required answer is 94.

Question: The cube root of .000216 is-

Solution: