1000+ Toronto Dominion Bank Aptitude Test Questions & Answers Pdf - 1

Question: 1

A and B have incomes in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends Rs.2000 and B saves Rs.700, then A’s savings are

(A) Rs.500

(B) Rs.1000

(C) Rs.1500

(D) Rs.1900

Ans: D

Let the incomes of A and B be Rs.5x and Rs.3x respectively and the expenses of A, B and C be Rs.8y, Rs.5y and Rs.2y respectively.

Then, 2y = 2000 or y = 1000.

And, 3x - 5y = 700 ⇒ 3x - 5000 = 700

⇒ 3x = 5700

⇒ x = 1900.

Question: 2

The ratio of milk to water in 80 litres of a mixture is 7 : 3. The water (in litres) to be added to it to make the ratio 2 : 1 is

(A) 1

(B) 2

(C) 3

(D) 4

Ans: D

Quantity of milk = $$(80 × {7}/{10})$$litres = 56 litres.

Quantity of water = (80 - 56) litres = 24 litres.

Let the quantity of water to be added be x litres.

Then, $${56}/{24 + x}$$ = $${2}/{1}$$ ⇒ 48 + 2x = 56 ⇒ 2x = 8 ⇒ x = 4.

Question: 3

The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The number of ladies present at the party was

(A) 16

(B) 18

(C) 24

(D) 36

Ans: C

Let the number of ladies and gents at the party be 3x and 2x respectively. Then,

$${3x} / {2x + 20}$$ = $${2}/{3}$$ ⇒ 9x = 4x + 40 ⇒ 5x = 40 ⇒ x = 8.

∴ Number of ladies = 3 × 8 = 24.

Question: 4

Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 litres from the first vessel and 3 litres from the second vessel are mixed then what will be the ratio of spirit and water in the resultant solution?

(A) 7 : 17

(B) 13 : 7

(C) 15 : 17

(D) 17 : 15

Ans: B

Quantity of spirit in the resultant solution

= [(0.5 × 2) + (0.75 × 3)]litres

= (1 + 2.25) litres = 3.25 litres.

Quantity of water in the resultant solution

= [(1 – 0.5) × 2 + (1 – 0.75) × 3]litres = (1 + 0.75) litres = 1.75 litres.

∴ Required ratio = 3.25 : 1.75 = 13 : 7.

Question: 5

Rs.720 are divided among 2 men, 5 women and 8 boys so that the shares of a man, a woman and a boy are in the ratio of 3 : 2 : 1. How much does each boy get?

(A) Rs.24

(B) Rs.28

(C) Rs.30

(D) Rs.32

Ans: C

Let the share of a man, a woman and a boy be
Rs.3x, Rs.2x and Rs.x respectively.

Then, 2 × 3x + 5 × 2x + 8 × x = 720

⇒ 24x = 720

⇒ x = 30.

Hence, share of each boy = Rs.30.

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