Mathematics Archives

231. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?

A. 1 : 96

B. 1 : 48

C. 1 : 84

D. 1 : 68

✅ The correct answer is option A. 1 : 96.
Let the length and the breadth of the rectangle be 4x cm and 3x respectively.

232. The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -.

A. 4000

B. 2160

C. 4320

D. 5300

✅ The correct answer is option C. 4320.

233. What is the are of an equilateral triangle of side 16 cm?

A. 48√3 cm2

B. 128√3 cm2

C. 9.6√3 cm2

D. 64√3 cm2

✅ The correct answer is option D. 64√3 cm2.
Area of an equilateral triangle = √3/4 S2

234. A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

A. 0%

B. 5%

C. 7.5%

D. 10%

✅ The correct answer is option A. 0%.

235. A man can row 7 ½ kms on hour in still water and he finds that it takes hi twice as long to row down the river. The rate of stream is

A. 2.4km/hr

B. 2.5 km/hr

C. 3.4km/hr

D. 3.5km/hr

✅ The correct answer is option B. 2.5 km/hr.

236. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is :__________?

A. 2 : 5

B. 3 : 5

C. 4 : 5

D. 6 : 7

✅ The correct answer is option C. 4 : 5.
Let the third number be x.

Then, first number = 120% of x = 120x/100 = 6x/5 second numbet = 150% of x = 150x/100 = 3x/2 Ratio of first two numbers = 6x/5 : 3x/2 =12x : 15x = 4 : 5.

237. The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?

A. 18%

B. 9%

C. 15%

D. 6%

✅ The correct answer is option A. 18%.

238. A boat running upstream takes 8 hours 48 min to cover a certain distance while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of water current respectively?

A. 2 : 1

B. 3 : 1

C. 8 : 3

D. Cannot be determined

✅ The correct answer is option C. 8 : 3.

239. A can do a certain work-in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in_________?

A. 15 days

B. 20 days

C. 25 days

D. 30 days

✅ The correct answer is option C. 25 days.
(A + B)’s 1 day’s work = 1/10; C’s 1 day’s work = 1/50 (A + B + C)’s 1 day’s work = 1/10 + 1/50 = 6/50 = 3/25 Also, A’s 1 day’s work = (B + C)’s 1 day’s work

From (i) and (ii), we get : 2 x (A’s 1 day’s work) = 3/25 As 1 day’s work = 3/50 B’s 1 day’s work = 1/10 – 3/50 = 2/50 = 1/25 So, B alone could do the work in 25 days.

240. Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?

A. 101

B. 103

C. 107

D. 113

✅ The correct answer is option B. 103.