# IQ Contest, Daily, Weekly & Monthly IQ & Mathematics Competitions

#### Question No 1

The ratio of Two Sisters Alice and Betty is 3/2. However if the age of Alice before 15 years and that of Betty after 15 years than the original ratio is reserved. What is the age of Betty?

Solution!
Let
Alice age's= A and Betty Age's=B
Given that
A / b = 3 / 2
2 A= 3 B
2A-3B=0.......(1)
And also given that
(A -15 )/ (B+ 15 )= 2 / 3
3 A- 45 =2B-30
3A - 2B = 75..... (2)
By solving both equation
B=30
So Batty is 30 years old
.

#### Question No 2

Forest cannot be completed without:

Solution!
No explanation available for this question..

#### Question No 3

The sum of first 45 natural numbers is:

Solution!
Let Sn = (1 + 2 + 3 + ... + 45)
This is an A.P. in which a = 1, d = 1, n = 45 and l = 45
Sn =n/2(a + l)=45/2x (1 + 45)   = (45 x 23)   = 1035.
.

#### Question No 4

In following questions, a sequence of groups of alphabets and numbers is provided with one term missing , Choose the missing term from options. Q1F, S2E, U6D, W21C, ?

Solution!
The first letter of each term is moved two steps forward and the last letter is moved one steps backward to obtain the corresponding letters of the next term. The number series runs as follows :
1 x 1 + 1 = 2,
2 x 2 + 2 = 6,
6 x 3 + 3 = 21,
21 x 4 + 4 = 88.
.

#### Question No 5

A glass is made in 3 hours by 4 men. The same glass can be made in 6 hours by how many men?

Solution!
No explanation available for this question..

#### Question No 6

The sum of odd multiples 5 between 0 to 50 is:

Solution!
No explanation available for this question..

#### Question No 7

Choose the word that has same or nearly the same meaning of obsolete?

Solution!
Obsolete and outmooded both mean no longer in use..

#### Question No 8

A person Travels 50 km per hour. If we increase his speed by 10 km per hour, how many minutes will it take to cover 7500 m.

Solution!
Speed= 50 km per hour
If the speed is increased by 10 kilometre per hour
Then the new speed= 60 km per hour
So distance covered in 1 hour=60 km/ hr
Then the distance covered in 60 minute= 60000
Distance covered in 1 minute=1000m
The new speed 1000 per minute=1000 m /min
Distance to be covered 7500 m= 7500 meters.
Time=7500/1000=7.5 min
.

#### Question No 9

A is the brother of B. B is the brother of C. D is the father of A. Based on these three statements, which of the following statement cannot be definitely true?

Solution!
Option (D)
A is the brother of B and B is the brother of C. So, C may be the brother or sister of A.

.

#### Question No 10

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

Solution!
The series is a / bcaa / bcaa / bcaa / bcaa / bc. Thus, the pattern bcaa is repeated.
.

#### Question No 11

There are 512 boys in a school in 2010. After each year, half of boys leave the school. In 2015, how many boys remain in school

Solution!
No explanation available for this question..

#### Question No 12

A is taller than B. B is shorter than C. C is shorter than D but taller than F and A. Who is the tallest?

Solution!
No explanation available for this question..

#### Question No 13

2, 5, 10, 17, ___, 37.
Find the missing?

Solution!
12 +1, 22 +1, 32 +1 ,42 +1, 52 +1, 62 +1... Us given series..

#### Question No 14

In following questions, one term in number series is incorrect.
Find out the incorrect number
3, 2, 8, 9, 13, 22, 18, 32, 23, 42

Solution!
The given sequence is a combination of two series:
I. 3, 8, 13, 18, 23 and
II 2, 9, 22, 32,42
The pattern in I is + 5 and the pattern in II is + 10.
So, in II, 9 is wrong and must be replaced by (2 + 10) i.e. 12.

#### Question No 15

Ratio between Addison's and Adney's age is 1:4, and between Adney's and Ali's age is 2:3, then ratio between Ali's and Addison's age will be:

Solution!
No explanation available for this question..

#### Question No 16

The average of six consecutive odd numbers is 61. What is the difference between the highest and lowest numbers:

Solution!
Let's 6 consecutive odd numbers are:
3,5,7,9,11,13
Lowest term is 3 and highest is 13
13-3=10
So difference of 10 will remain the same in the consecutive series numbers.

.

#### Question No 17

Average marks of 36 students are 92.5 and of 12 students are 95. What will be the average of all students:

Solution!
No explanation available for this question..

#### Question No 18

61.5, 63, 64.5, ___, 67.5, 69.
Find the missing.

Solution!
Difference of 1.5.

#### Question No 19

Find Odd one out:

Solution!
No explanation available for this question..

#### Question No 20

Price of an article decrease from $50 to$30. What is the percentage?

Solution!
Decrease in price=50-30=20
Percentage decrease=(20/50)*100=40
.

#### Question No 21

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter of P. Z is the brother of P. Which is a pair of brothers?

Solution!
Option (D)
Q is the son of R but R is not the mother. So, R is the father of Q. P is married to R. So, P is the wife of R and the mother of Q. X is the daughter of P and hence of R and so she is the sister of Q. Y is the brother of R and Z is the brother of P.
Clearly, Y is brother of R who is a male. So, Y and R is a pair of brothers.

.

#### Question No 22

What comes next in the series C , G , E , I , G , K , ?

Solution!
No explanation available for this question..

#### Question No 23

In a family , there are six members A,B,C,D,E, and F. A and  B are married couples. A being the male member. D is the only son of C, who is the brother of A. E is the sister of D. B is daughter in law of F, whose husband has died. h ow many male members are there in the family?

Solution!
A is male.B the wife is female. C, the brother is male. D the son is male.E is the sister is female . F the mother is female. so, there are three male members.

#### Question No 24

A + B means A is the daughter of B ;
A x B means A is the son of B  and
A - B means A is the wife of B.
If P x Q - S, which of the following is true?

Solution!
Option (B)
P x Q - S means P is the son of Q who is the wife of S i.e. P is the son of S or S is the father of P.

.

#### Question No 25

A + B means a is the daughter of B.
A -B means  A is the husband of B.
Ax B means A is the brother of B.
If  Px Q+ R, which of the following is true?

Solution!
P x Q+ R means P is the brother of Q who is the daughter of  R .i .e. p is the son of R..

#### Question No 26

Rid is 5 years younger than Allen. 4 years later Allen will be twice as old as Rid. Find the percentage of Rid.

Solution!
let's
Allen = x
Rid= x - 5
after 4 years condition
2 x - 5 + 4 = x + 4
x = 6
Allen = 6
and rid = 1
.

#### Question No 27

The temperature in 0 F on 20 days during the month of June
was as follows:
70 F, 76 F, 76 F, 74 F, 70 F, 70 F, 72 F, 74 F, 80 F,
74F,74F,78F,76F,78 F,76F,74F,78F,80F,76F
What is the mode of the temperature for the month of June?

Solution!
76 and 78 is the highest occurrence in series..

#### Question No 28

Shopkeeper buys an article for \$150 and sold it at a profit of 10%. What is the selling price of the article?

Solution!
10% of  150=(150/10*100)
=15
S.P=150+15=165
.

#### Question No 29

Owner:Factory relationship is like:

Solution!
No explanation available for this question..

#### Question No 30

X is to '3rd Last' as B is to