and Search

Q:

In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?

A) 26	B) 24
C) 18	D) 12

Answer & Explanation Answer: A) 26

Explanation:

Gold coins = 18000 , Silver coins = 9600 , Bronze coins = 3600

Find a number which exactly divide all these numbers

That is HCF of 18000, 9600& 3600

All the value has 00 at end so the factor will also have 00.

HCF for 180, 96 & 36.

Factors of

180 = 3 x 3 x 5 x 2 x 2

96 = 2 x 2 x 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

Common factors are 2x2×3=12

Therefore, Actual HCF is 1200

Gold Coins 18000/1200 will be in 15 rooms

Silver Coins 9600/1200 will be in 8 rooms

Bronze Coins 3600/1200 will be in 3 rooms

Total rooms will be (15+8+3) = 26 rooms.

Report Error

View Answer Report Error Discuss

Filed Under: HCF and LCM
Exam Prep: CAT
Job Role: Bank Clerk

Q:

A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

A) 1100	B) 1300
C) 1400	D) 1200

Answer & Explanation Answer: C) 1400

Explanation:

Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches.

Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel

If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15

Distance covered by both the wheels is the same

i.e, 40*(n+15)=70n

n=20

Front wheel : Back Wheel

Circumference 40 : 70

Revolutions 35 : 20

Distance covered : 40×35 = 70×20 = 1400 inches.

Report Error

View Answer Report Error Discuss

Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank PO

Q:

The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan?

A) 56 years	B) 62 years
C) 69 years	D) 72 years

Answer & Explanation Answer: D) 72 years

Explanation:

Let us consider Karthik as K1 and Kalyan as K2.

Given $\frac{k 1}{8 + k 1}$ and K2 - (K1 + 5) = 3

K2 - K1 = 8

K2 = 8 + K1

Now,

$\frac{k 1}{8 + k 1} = \frac{4}{5}$

=> K1 = 32 years

Therefore K2 = 40 years.

K1 + K2 = 72 years.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Ages
Exam Prep: CAT
Job Role: Bank PO

Q:

How many iron rods, each of length 7 mts and diameter 2 cms can be made out of 0.88 cubic metre of iron ?

A) 500	B) 600
C) 400	D) 300

Answer & Explanation Answer: C) 400

Explanation:

Given length of iron rod =7 mts and and diameter of rod = 2 cms

=> r = 1/100 mts

Therefore, Volume of one rod = ${πr}^{2} h$ cu. m = $(\frac{22}{7} \times {[\frac{1}{100}]}^{2} \times 7)$ cu. m = $\frac{11}{5000}$ cu. m

Given volume of iron = 0.88 cu. m

Therefore, Number of rods = $(0.88 \times \frac{5000}{11})$ = 400.

Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: CAT
Job Role: Bank PO

Q:

Find the ratio of the areas of the incircle and circumcircle of a square ?

A) 1 : 4	B) 4 : 1
C) 2 : 1	D) 1 : 2

Answer & Explanation Answer: D) 1 : 2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2} x$ .

Radius of incircle = x/2 and radius of circumcircle = $\frac{\sqrt{2} x}{2}$ . k11482389216.png image

Therefore, required ratio = $(\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2})$ = $\frac{1}{4} : \frac{1}{2} = 1 : 2$

Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: CAT
Job Role: Bank Clerk

Q:

A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ?

A) 24.52 litres	B) 29.63 litres
C) 28.21 litres	D) 25.14 litres

Answer & Explanation Answer: B) 29.63 litres

Explanation:

Given that container has 50 litres of milk.

After replacing 8 litres of milk with water for three times, milk contained in the container is:

$\Rightarrow [50 {(1 - \frac{8}{50})}^{3}]$

$\Rightarrow (50 \times \frac{42}{50} \times \frac{42}{50} \times \frac{42}{50})$ = 29.63 litres.

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: CAT
Job Role: Bank PO

Q:

A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is :

A) 9.5 km/hr	B) 10 km/hr
C) 10.5 km/hr	D) 11 km/hr

Answer & Explanation Answer: B) 10 km/hr

Explanation:

Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.

Therefore, Man's rate against the current = (12.5 - 2.5) = 10 km/hr.

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains
Exam Prep: CAT
Job Role: Bank PO

Q:

A,B and C enter into a partnership in the ratio $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ . After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is :

A) Rs. 4000	B) Rs. 6000
C) Rs. 9000	D) Rs. 3000

Answer & Explanation Answer: A) Rs. 4000

Explanation:

Given ratio of initial investments = $\frac{7}{2} : \frac{4}{3} : \frac{6}{5}$ = 105 : 40 : 36.

Let the initial investments be 105x, 40x and 36x.

$∴ A : B : C = (105 x \times 4 + \frac{150}{100} \times 105 x \times 8) : (40 x \times 12) : (36 x \times 12)$

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = $(21600 \times \frac{10}{54})$ = Rs. 4000.

Report Error

View Answer Report Error Discuss

Filed Under: Partnership
Exam Prep: CAT
Job Role: Bank PO

Searching for "and"

Quick Links