Mathematics Archives

311. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

A. 20 hrs

B. 25 hrs

C. 35 hrs

D. Cannot be determined

✅ The correct answer is option C. 35 hrs.

312. A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?

A. 50

B. 36

C. 24

D. 12

✅ The correct answer is option D. 12.

313. The average of first 10 natural numbers is____________?

A. 5

B. 5.5

C. 6.5

D. 6

✅ The correct answer is option B. 5.5.
Sum of 10 natural no. = 110/2 = 55

314. (i). a2 – 9a + 20 = 0, (ii). 2b2 – 5b – 12 = 0 to solve both the equations to find the values of a and b?

A. If a < b

B. If a ≤ b

C. If the relationship between a and b cannot be established

D. If a ≥ b

✅ The correct answer is option D. If a ≥ b.

315. A and B can do a work in 8 days, 13, and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in_________?

A. 4 days

B. 6 days

C. 8 days

D. 12 days

✅ The correct answer is option C. 8 days.
(A + B + C)’s 1 day’s work = 1/6; (A + B)’s 1 day’s work = 1/8 (B + C)’s 1 day’s work = 1/12 (A + C)’s 1 day’s work = ( 2 X 1/6 ) – ( 1/8 + 1/12 ) = ( 1/3 – 5/24 ) = 3/24 = 1/8 So, A and C together will do the woirk in 8 days.

316. Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?

A. Rs.1261

B. Rs.1440

C. Rs.1185

D. Rs.1346

✅ The correct answer is option A. Rs.1261.

317. P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?

A. 2 : 5

B. 5 : 2

C. 3 : 5

D. 1 : 1

✅ The correct answer is option D. 1 : 1.

318. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?

A. 9985

B. 9960

C. 9957

D. 9975

✅ The correct answer is option B. 9960.

319. A bag contains 1 rupee, 2 rupee and 5 rupee coins amounting to Rs.264. If the ratio of the number of these coins is 3:5:4, find the number of 1 rupee coins.

A. 66

B. 48

C. 24

D. 8

✅ The correct answer is option C. 24.
Let the number of 1 rupee, 2 rupee and 5 rupee coins be 3x, 5x and 4x. (1*3x)+(2*5x)+(5*4x)=264 3x+10x+20x=264 33x=264 x=8 No. of 1 rupee coins

= 3x = 24

320. In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?

A. 975

B. 753

C. 642

D. 684

✅ The correct answer is option E. None of these.