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Mathematics Mcqs

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

Height and Distance Mcqs, Mathematics Mcqs /
Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________?

A. 173 m
B. 200 m
C. 273 m
D. 300 m
Let AB be the lighthouse and C and D be the
positions of the ships. Then,
AB = 100 m, ∠ACB = 300 and ∠ADB = 45°.
AB/AC = tan 30° = 1/√3
AC = AB X √3 = 100√3 m.
AB/AD = tan 45° = 1 ⇒ AD = AB = 100 m.
CD = (AC + AD) = (100√3 + 100) m
= 100 (√3 +1) m = (100 X 2.73) m = 273 m.

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :_________? Read More »

Height and Distance Mcqs, Mathematics Mcqs

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

Height and Distance Mcqs, Mathematics Mcqs /
The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________?

A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 9.2 m
Let AB be the wall and BC be the ladder. Then, ∠ACB = 60° and AC = 4.6 m. AC/BC = Cos 60° = 1/2 BC = 2 X AC = (2 X 4.6) m = 9.2 m.

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :_________? Read More »

Height and Distance Mcqs, Mathematics Mcqs

A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

Mathematics Mcqs, Partnership /
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

A. 4 months
B. 5 months
C. 6 months
D. 8 months

A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1? Read More »

Mathematics Mcqs, Partnership

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years?

Mathematics Mcqs, Partnership /
A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be d at the end of 3 years?

A. 2:3:5
B. 3:4:7
C. 4:5:9
D. None of these
Explanation:
A:B:C = (40000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12)
= 144:192:336 = 3:4:7

A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3 years? Read More »

Mathematics Mcqs, Partnership

Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?

Mathematics Mcqs, Partnership /
Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business?

A. 7:6:10
B. 12:15:16
C. 42:45:56
D. Cannot be determined
E. None of these
Explanation:
Ameen : Rahim : Sameer = (70000 * 36) : (105000 * 30) : (140000 * 24)
= 12:15:16

Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Ameen, Rahim and Sameer respectively, 3 years after Ameen started the business? Read More »

Mathematics Mcqs, Partnership

A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

Mathematics Mcqs, Partnership /
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?

A. Rs. 7500
B. Rs. 9000
C. Rs. 9500
D. Rs. 10,000
E. None of these
Explanation:
A:B:C = (20000 * 24) : (15000 * 24) : (20000 * 18) = 4:3:3
B’s = 25000 * 3/10 = Rs. 7500.

A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business? Read More »

Mathematics Mcqs, Partnership

Sameena started a software business by investing Rs. 50,000. After six months, Nida joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Saneena’s share in the profit?

Mathematics Mcqs, Partnership /
Sameena started a software business by investing Rs. 50,000. After six months, Nida joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Saneena’s in the profit?

A. Rs. 9423
B. Rs. 10,250
C. Rs. 12,500
D. Rs. 14,000
E. None of these
Explanation:
Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4
Simran’s = 24500 * 3/7 = Rs. 10500

Sameena started a software business by investing Rs. 50,000. After six months, Nida joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Saneena’s share in the profit? Read More »

Mathematics Mcqs, Partnership

Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit?

Mathematics Mcqs, Partnership /
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the of Sameer in the profit?

A. Rs. 1883.78
B. Rs. 2380
C. Rs. 3690
D. Rs. 3864
Explanation:
Kamal : Sameer = (9000 * 12) : (8000 * 7)
= 108:56 = 27:14
Sameer’s = 6970 * 14/41 = Rs. 2380.

Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit? Read More »

Mathematics Mcqs, Partnership