### Quantitative Aptitude

## SIMPLE EQUATIONS MCQs

### Total Questions : 30

**Page 1 of 3 pages**

**Answer is Option B. ->**40 years

Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively.

A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)

3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8

V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8

=> 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8

=> 10 - 20/3 = 10/12 A - 9/12 A

=> 10/3 = A/12 => A = 40.

**Answer is Option E. ->**None of these

Let the number of rabbits and peacocks be 'r' and 'p' respectively. As each animal has only one head, so r + p = 60 --- (1)

Each rabbit has 4 legs and each peacock has 2 legs. Total number of legs of rabbits and peacocks, 4r + 2p = 192 --- (2)

Multiplying equation (1) by 2 and subtracting it from equation (2), we get

=> 2r = 72 => r = 36.

**Answer is Option D. ->**7, 9, 11

Let the three consecutive odd integers be x, x + 2 and x + 4 respectively.

x + 4 + x + 2 = x + 13 => x = 7

Hence three consecutive odd integers are 7, 9 and 11.

**Answer is Option E. ->**None of these

Let the number of children in the school be x. Since each child gets 2 bananas, total number of bananas = 2x.

2x/(x - 360) = 2 + 2(extra)

=> 2x - 720 = x => x = 720.

**Alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice-cream cups. The cost of each chapati is Rs.6, that of each plate of rice is Rs.45 and that of mixed vegetable is Rs.70. The amount that Alok paid the cashier was Rs.961. Find the cost of each ice-cream cup?**

__Question 5.__**Answer is Option A. ->**Rs.25

Let the cost of each ice-cream cup be Rs.x

16(6) + 5(45) + 7(70) + 6(x) = 961

96 + 225 + 490 + 6x = 961

6x = 150 => x = 25.

**Answer is Option E. ->**None of these

Cost of each eraser = (36 + 8 -40) = Rs.4

Required amount = 15 * 36 + 12 * 45 + 10 * 8 + 5 * 4

540 + 540 + 80 + 20 = Rs.1180

**Answer is Option B. ->**5

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.

V - x = A + x --- (1)

If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.

V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)

From (1) we have V - A = 2x

Substituting V - A = 2x in (2)

6x = 30 => x = 5.

**The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?**

__Question 8.__**Answer is Option A. ->**Rs.126

Let the train fare between the two places for one person be Rs.t

Bus fare between the two places for two persons Rs.4/3 t

=> 6/2 (4/3 t) + 8(t) = 1512

=> 12t = 1512 => t = 126.

**Answer is Option C. ->**144

Let the number of coins of each kind be x.

=> 5x + 2x + 1x = 1152

=> 8x = 1152 => x = 144

**Answer is Option D. ->**750 km

Total distance traveled = 1800 km.

Distance traveled by plane = 600 km.

Distance traveled by bus = x

Distance traveled by train = 3x/5

=> x + 3x/5 + 600 = 1800

=> 8x/5 = 1200 => x = 750 km.

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