Question 1

Khushi bought the bangles of equal number of Rs. 34 per piece, Rs. 42 per piece and Rs. 6 per piece. She spends total Rs. 1722 on all types of bangles. How many bangles did she buy of each type ?

Accepted Answer

Let number of bangles kushi purchase of each type = x From the given data, 34x + 42x + 6x = 1722 x = 1722/82 = 21.

Question 2

Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and t…

Accepted Answer

Let the number of apples in each tree of the 5 farmers be a, b, c, d,e respectively. Therefore total no of apples are 7a, 9b, 11c, 13d and 14e respectively. Given, 7a+1 = 9b+3 = 11c-1 = 13d+3 = 14e-6 = x 9b+3 = 13d+3 ===> 9b = 13d so take b = 13 and d = 9 9b+3 = 9*13+3 = 120 ie, x=120 substituting 7a+1 = 120 7a = 119 a = 17 11c-1 = 120 11c = 121 c=11 14e-6 = 120 14e = 126 e = 9 Yields per tree in the orchards of d 3rd & 4th farmers= 11,9

Question 3

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?

Accepted Answer

Assume the family has X girls and Y boys, according to the question, we can have 2 equations: X-1=Y, 2(Y-2)=X. Solve the equations, we get X=4, Y=3.

Question 4

A bird lover was asked how many birds he had in the basket. He replied that there were all parrots but six, all pigeons but six, and all koel but six. How many birds he had in the basket in all ?

Accepted Answer

There were all parrots but six means that six birds were not parrots but only pigeons and koels. Similarly, number of parrots + number of koels = 6 and number of parrots + number of pigeons = 6. This is possible when there are 3 parrots, 3 pigeons and 3 koels i.e. 9 birds in all.

Question 5

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

Accepted Answer

After 5 mins ..... 3 persons will get rumour After 10 mins .... 3x2 + 3 = 9 = 3 2 persons will get after 15 =5x3 min ......9x2 + 9 =27 = 3 3 persons will get news. . . after 5x6 mins ... 3 6 = 729 persons will get news. Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

Question 6

If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?

Accepted Answer

3

Question 7

How many feet are in a meter?

Accepted Answer

We know that, 1 meter = 100 cms. => 1 meter = 3.28084 feet.

Question 8

What is the difference between the local values of 3 in the number 43403 ?

Accepted Answer

3000 – 3 = 2997

Question 9

If the LCM and HCF of two numbers are equal, then the numbers must be

Accepted Answer

If LCM = HCF then, the two numbers are equal.

Question 10

Find the least number by which 175760 be divided to make it a perfect cube.

Accepted Answer

175760 =2³ x 2 x 5 x 13³ = 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10

Question 11

A Child has 1200 five rupee coins. He wants to place them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of coins that he needs more for this purpose?

Accepted Answer

25

Question 12

If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?

Accepted Answer

From the given information in the question 24 ÷ 4 + 6 - 3 x 4 6 + 6 - 12 = 0

Question 13

In a parking lot there are two types of vehicles, two wheelers and four wheelers. The total number of the vehicles in the parking lot is 200. When the number of the wheels of all the vehicles is counted it is counted to be 580. Find the total number…

Accepted Answer

Let number of 2 wheelers be 'x' and 4 wheelers be 'y' Given total number of vehicles = 200 i.e, x + y = 200 ....(1) Given total number of wheels = 580 i.e, 2x + 4y = 580 ...(2) By solving (1)&(2), we get y = 90 => x = 110 Therefore, number of two wheelers = 110 number of four wheelers = 90

Question 14

If two line pa + b = 2 and 3a + b = 4 are parallel to each other, then what is the value of p ?

Accepted Answer

Given two lines are parallel pa+b=2 b=-pa+2..........(1) 3a+b=4 b=-3a+4 ...........(2) m1 = -p m2= -3 The condition for the two lines to be parallel is m1=m2 p = 3

Question 15

How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

Accepted Answer

There are total 5 ways. we have only one kg of weight so, 2kg = 1kg + 1kg 4kg = 1 + 2 + 1 8kg = 1 + 2 + 4 + 1 16kg = 1 + 2 + 4 + 8 + 1 31kg = 1 + 2 + 4 + 8 + 16 So 5 weights are needed.

Question 16

In a class of students, if 1 is absent rest of people can be divided into 6 equal parts and if 2 are absent rest of them are divided into 7 equal parts, how many students are present in the class ?

Accepted Answer

Let the number of students in the class be 'x'. Given if 1 is absent rest of people can be divided into 6 equal parts i.e (x-1)/6.........(1) And given if 2 are absent rest of people can be divided into 7 equal parts i.e (x-2)/7.....(2) From (1)&(2), we get x-1/6 = ((x-2)/7) + 1 => x = 37.

Question 17

The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have ?

Accepted Answer

We know that Sum of Interior angles of Polygon = 180(n-2) Sum of Exterior angles of Polygon = 360 so 180(n-2)=2x360 Therefore, by solving we get n=6 sides.

Question 18

Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is ?

Accepted Answer

Let the number be x. Then, 3 x 2 - 4x = x + 50 3 x 2 - 5x - 50 = 0 (3x + 10)(x - 5) = 0 x = 5

Question 19

18 tens 20 ones =

Accepted Answer

18 tens 20 ones, the given stateent can be split into 18 tens = 18 x 10 = 180 20 ones = 20 x 1 = 20 Then add both => 180 + 20 = 200 Hence, 18 tens 20 ones = 200.

Question 20

Lami's theorem is applicable only for

Accepted Answer

The Lami's theorem states that " If three forces coplanar and concurrent forces acting on a particle keep it in equilibrium, then each force is proportional to the sine of the angle between the other two and the constant of proportionality is the same." This theorem is derived from the Sine rule of triangles.

Arithmetic Reasoning Questions