Mathematics Archives

341. (i). a2 – 7a + 12 = 0, (ii). b2 – 3b + 2 = 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.

342. In a rhombus whose area is 144 sq.cm on of its diagonals is twice as long as the other. The lengths of its diagonals are:_________?

A. 24 cm,48cm

B. 12cm,24cm

C. 6√2cm,12√2cm

D. 6cm,12cm

✅ The correct answer is option B. 12cm,24cm.

343. Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days?

A. Rs.1104

B. Rs.1000

C. Rs.934

D. Rs.1210

✅ The correct answer is option A. Rs.1104.
Assume that cost of keeping a cow for 1 day = c ,

344. The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?

A. 4%

B. 5%

C. 6%

D. 8%

✅ The correct answer is option B. 5%.

345. Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.

A. Rs.420.20

B. Rs.319.06

C. Rs.306.04

D. Rs.294.75

✅ The correct answer is option C. Rs.306.04.

346. In a partnership for a business, Changaz invests Rs.6000 for complete year & Nasir invests Rs.3000 for 6 months. What is Nasir’s share if they earn Rs.240 as profit?

A. 120

B. 80

C. 192

D. 48

✅ The correct answer is option D. 48.
If A invests amount C1 for T1 time and his share of profit is P1, and B invests amount C2 for T2 time and his share of profit is P2, then, C1 * T1 / C2 * T2 = P1/P2

If P is the Nasir’s share of profit, then Changaz gets (240 – P)

Therefore, 6000 * 12 / 3000 * 6 = (240 – P) / P = 72/ 18 = 4

4P = (240 – P)

5P = 240

P = 48

347. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

A. 12

B. 11

C. 10

D. 9

✅ The correct answer is option C. 10.
speed of the bus excluding stoppages = 54 kmph

speed of the bus including stoppages = 45 kmph

Loss in speed when including stoppages = 54 – 45 = 9kmph

=> In 1 hour, bus covers 9 km less due to stoppages

Hence, time that the bus stop per hour = time taken to cover 9 km

348. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it ?

A. 80 days

B. 100 days

C. 120 days

D. 150 days

✅ The correct answer is option C. 120 days.

349. Milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively in what ratio the liquids in both the vessels should be mixed to obtain a new mixture in vessel C containing half milk and half water?

A. 1:1

B. 1:3

C. 1:2

D. 7:5

✅ The correct answer is option D. 7:5.

350. (84 ÷ 14 ÷ 2 ÷ 9) * ? = 33⅓

A. 100

B. 300

C. 90,000

D. 10,000

✅ The correct answer is option A. 100.