The temperature of a place increases uniformly from 210° C to 380°C from 9 am to 2 pm. What was the temperature at noon?

Correct Answer Is : 320°C

Solution Is : Since the temperature increases uniformly The rise is temperature per hour from 9 am to 2 pm =(380°C-210°/5) =170°/5=34°C The temperature at noon =210°C+(3*34)°C =(210+102)°C =312°C =320°C

What must be added to each term of the ratio 2:5 so that it may equal to 5:6?

Correct Answer Is : 13

Solution Is : According to question (2+x)/(5+x) = 5/6
⇒ 12+6x = 25+5x ⇒x=25-12 =13

If A and B are in the ratio 4:5 and the difference of their squares is 81, what is the value of A?

Correct Answer Is : 12

Solution Is :
Ratio Now , B²-A²=81 A/B =4/5
⇒ B/A =5/4.
Squaring both sides , we get
⇒B²/A² =25/16.
Both sides subtract 1
=⇒(B²-A²)/A² =(25-16)/16 =9/16
⇒81/A² =9/16
⇒ A² =16*9 ⇒ A=12

If two numbers are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers is

Correct Answer Is : 40

Solution Is :

A and B entered into a partnership investing Rs 16000 and Rs. 12000 respectively. After 3 months A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months C joins the business with a capital of Rs 21000. The share of B exceeds that of C, out of a total profit of Rs. 26400 after one year by

Correct Answer Is : Rs. 3600

Solution Is : Ratio of equivalent capitals of A,B and C for 1
month = (16000 * 3 + 11000 * 9) : ( 12000 *3 + 17000 *9): (21000 *6)= (48000 + 99000) : ( 36000 + 153000) : 126000 =
147000:189000 :126000 = 49: 63 : 42 = 7: 9 : 6 .
Sum of ratios +7+9+6 =22.
Therefore required difference =Rs.((9-6)/22) * 26400) = Rs. (3* 26400)/22 =Rs.3600.

Correct Answer Is : 3:1

Solution Is :

The cost of a piece of diamond varies with the square of its weight. A diamond of Rs. 5,184 value is cut into 3 pieces whose weights are in the ratio 1 : 2 : 3. Find the loss involved in the cutting.

Correct Answer Is : Rs. 3,168

Solution Is : If the weight of a piece of diamond be 6x units, then Original price a(6x)²=36kx²
Therefore 36kx²=5184 ....(i)
Again, New price
=k(x²+4x²+9x²)=14kx²
=(14*5184)/36 =Rs.2016
Therefore, Loss= 5184-2016 =Rs.3168

465 coins consists of 1 rupee, 50 paise and 25 paise coins. Their values are in the ratio 5 : 3 : 1. The number of each type of coins respectively is,

Correct Answer Is : 155, 186, 124

Solution Is :

A and B are partners in a business. A contributes 1/4 of the capital for 15 months and B received 2/3 of the profit. Find for how long B`s money was used?

Correct Answer Is : 10 Months

Solution Is :

An employer reduces the number of employees in the ratio 8 : 5 and increases their wages in the ratio 7 : 9. As a result, the overall wages bill is

Correct Answer Is : Decreased in the ratio 56 : 45

Solution Is : Required ratio = 8*7 : 5*9 =56:45