and Search

Q:

Out of the following remains excavated in indus valley,which one indicates the commercial and economic development

A) Pottery	B) Seals
C) Boats	D) Houses

Answer & Explanation Answer: B) Seals

Explanation:

Report Error

View Answer Report Error Discuss

Filed Under: Indian History

Q:

The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?

A) 12	B) 15
C) 17	D) none of these answers can be determined

Answer & Explanation Answer: D) none of these answers can be determined

Explanation:

Let the ten's digit be x and unit's digit be y.

Then, (10x + y) - (10y + x) = 63

=> 9 (x - y) = 63

=> x - y = 7.

Thus, none of the numbers can be deermined..

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Q:

There are two numbers such that the sum of twice the first and thrice the second is 39, while the sum of thrice the first, and twice the second is 36. The larger of the two is :

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: C) 9

Explanation:

Let the numbers be x and y. Then, 2x + 3y = 39...(i)and 3x + 2y = 30 ...(ii)

On solving (i) and (ii), we get : x = 6 and y = 9.

larger number = 9

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Q:

The sum of the squares of two numbers is 3341 and the diference of their squares is 891. The numbers are :

A) 35 and 46	B) 35 and 50
C) 40 and 55	D) 45 and 60

Answer & Explanation Answer: A) 35 and 46

Explanation:

Let the numbers be x and y. Then,

x^2+y^2=3341......(1)

x^2-y^2=891......(2)

Adding (i) and (ii), we get : 2x^2=4232 or x^2= 2116 or x =46

Subtracting (ii) from (i), we get : 2y^2= 2450 or y^2 = 1225 or y = 35

So, the numbers are 35 and 46

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Q:

If the sum and diference of two numbers are 20 and 8 respectively, then the difference of their squares is :

A) 120	B) 140
C) 160	D) 180

Answer & Explanation Answer: C) 160

Explanation:

Let the numbers be x and y. Then, x + y = 20 and x - y = 8.

x^2 - y^2 = (x + y) (x - y) = 20 x 8 = 160.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Q:

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is :

A) 253	B) 263
C) 273	D) 283

Answer & Explanation Answer: A) 253

Explanation:

Let the middle digit be x.

Then, 2x = 10 or x = 5. So, the number is either 253 or 352

Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit.

Hence, required number = 253.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Q:

In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :

A) 12	B) 24
C) 36	D) 48

Answer & Explanation Answer: B) 24

Explanation:

Let the ten's digit be x.

Then, unit's digit = x + 2.

Number = 10x + (x + 2) = 11x + 2

Sum of digits = x + (x + 2) = 2x + 2.

(11x + 2) (2x + 2) = 144

=> 22x^2+26x-140=0

=> (x - 2)(11x + 35) = 0

=> x = 2

Hence, Required Number = 11x + 2 = 24

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Q:

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 :

A) 100	B) 200
C) 300	D) 400

Answer & Explanation Answer: D) 400

Explanation:

Let the numbers be x and y.

Then, xy = 9375 and x/y = 15.

$(\frac{x y}{\frac{x}{y}}) = 9375 / 15$

=> $y^{2} = 625$

=> y = 25

=> x = 15y = 15 x 25 = 375.

Sum of the numbers = 375 + 25 = 400.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Numbers

Searching for "and"

Quick Links