Sherry's math test had 100 problems, 40 arithmetic, 30 algebra, 30 geometry problems. Although he answered 30% of arithmetic, 40% of algebra and 70% of geometry problems correctly, still he got less then 50% marks. How many more questions he would have to answer more to get passed.

Arithmetic: 30% of 40 = 12

Algebra : 40% of 30 = 12

Geometry : 70% of 30=21

Total correct = 12+12+21=45

50-40=5 marks needed to pass.

.
In following number series, two terms have been put within brackets. Choose the appropriate option

Choose the appropriate option 4, 6, 10, (12), 16, (14), 22

Choose the appropriate option 4, 6, 10, (12), 16, (14), 22

The correct sequence is + 2, + 4, + 2, + 4,...

Clearly, the term 12 is correct.

But, 14 is wrong and must be replaced by (16 + 2) i.e. 18..

The passenger train takes 2 hours less for a journey of 300 km if it's speed is increased by 5 kilometre per hour from its normal speed. The normal speed is:

Let the normal speed be "S" kilometre/hour

New speed=(S+5) km/ hr

(300/s)-2=300/(s+5)

On solving this equation we get:

S=25 km/hr.

.
In alphabet series, some alphabets are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.

ab _ bc _ c _ ba _ c

The series is abc / bca / cab / abc. Thus, the letters are written in a cyclic order.

.
K is the brother of N and X. Y is the
mother of N and Z is the father of K.

Which of the following statements is not
definitely true?

Option (D)

K is the brother of N and X. So, Y, who is the mother of N and Z, who is the father of K, will be mother and father of all three. However, it is not mentioned whether N is male or female.

.
Kevin is who is 17 year old and his grandfather who is 71 year old have the same birthday. In how many years will grandfather be twice as old as kevin?

Let's x is year add in both age's .

Kevin :X + 17

grand father: X + 71

when grandfather be twice as old as kevin.

2( X +1 7) = X + 71

X = 37

.
The ages of two friends Julie is twice older than ketty. However if the age of Julie before 20 years that of ketty after 20 years then Ketty age is twice then Julie. What is age of Ketty?

let's Julie age = a ketty age = b

given that a + b = 2 / 1

a=2b,

a - 2b = 0.... Equation 1

and also given that (a - 20 )/ (b + 20) = 1/2

2a- 40 =b + 20

2 - 20 = 60....eauation 2

by solving both equation

B = 20

so, ketty is 20 years old.

.