# NIACL AO Prelims – Quantitative Aptitude Questions Day- 67

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NIACL AO Prelims โ Quantitative Aptitude Questions Day- 67

maximum of 10 points

1) Rajeev borrowed a certain amount at the rate of 12 % per annum and pays a simple interest of Rs. 30720 at the end of 4 years. What amount of compound interest would he pay on the same amount at the same rate of interest at the end of 3 years?

a) Rs. 25915.392

b) Rs. 23857.128

c) Rs. 24564.456

d) Rs. 27893.521

e) None of these

2) P, Q and R started business by investing in the ratio of 5: 3: 7. After 4 months, P invested 20 % more than the initial investment and R withdraw three- seventh of the initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 13383?

a) Rs. 51323

b) Rs. 45865

c) Rs. 60967

d) Rs. 57631

e) None of these

3) A man can row 25 km/hr in still water and the river is running at 13 km/hr. If the man takes 5 hrs to row to a place and back, then how far is the place?

a) 40.8 km

b) 42.4 km

c) 45.6 km

d) 46.2 km

e) None of these

4) The percentage profit earned when the article is sold for Rs. 546 is double the percentage profit earned when the same article is sold for Rs. 383. If the marked price of the article is 40 % above the cost price, then find the marked price of the article?

a) Rs. 324

b) Rs. 252

c) Rs. 276

d) Rs. 308

e) None of these

5) 120 m length of Train A crosses another train B travelling in opposite direction in 15 seconds. Train A crosses a pole in 15 sec and the length of train A is half of the length of train B then find the speed of train B in?

a) 16 m/s

b) 22 m/s

c) 28 m/s

d) 24 m/s

e) None of these

Directions (Q. 6 โ 10): Study the following information carefully and answer the given questions:

The following pie chart shows the total number of students (both higher secondary and graduation) studying a different course from different institutions and the table shows the ratio of higher secondary students to that of graduation students from different institutions.

6) Find the ratio between the total number of graduate students from institution A and C together to that of total number of higher secondary students from institution B and D together?

a) 15: 11

b) 23: 17

c) 14: 13

d) 22: 19

e) None of these

7) Find the difference between the total number of higher secondary students from institution A to that of total number of graduate students from institution D?

a) 350

b) 420

c) 280

d) 240

e) None of these

8) Find the total number of graduate students from institution D, E and F together?

a) 3320

b) 3850

c) 2930

d) 3640

e) None of these

9) If the ratio of total number of male to that of female graduates from institution C is 8 : 7, then find the sum of the total number of male graduates from institution C and total number of higher secondary students from institution F together?

a) 1850

b) 1620

c) 2160

d) 2380

e) None of these

10) Which of the following institution has second lowest number of higher secondary students?

a) Institution A

b) Institution B

c) Institution C

d) Institution D

e) Institution E

S.I = PNR/100

30720 = (P*12*4)/100

P = (3072000)/48 = Rs. 64000

C. I:

64000*(12/100) = 7680

71680*(12/100) = 8601.6

80281.6*(12/100) = 9633.792

C.I = 7680 + 8601.6 + 9633.792 = Rs. 25915.392

The share of P, Q and R

= > [5*4 + 5*(120/100)*8]: [3*12]: [7*4 + 7*(4/7)*8]

= > 68: 36: 60

= > 17: 9: 15

The share of Q = Rs. 13383

9โs = 13383

1โs = 13383/9 = 1487

Total profit = 41โs = Rs. 60967

Downstream speed = (25+13) = 38 km/hr

Upstream speed = (25 – 13) = 12 km/hr

Let us take the distance be x

x/38 + x/12 = 5

(12+38)x = 5*12*38

50x = 5*12 *38

= > x = 45.6 km

(Or)

Let the still water and stream be x and y,

Distance = Time*[(x2 โ y2)/2x]

= > 5*[(252 โ 132)/(2*25)]

= > 5*[(625 โ 169)/50]

= > 5*(456/50)

= > 45.6 km

According to the question,

SP1 โ CP = 2*(SP2 โ CP)

546 โ CP = 2*(383 โ CP)

546 โ CP = 766 โ 2CP

CP = Rs. 220

MP = (140/100)*220 = Rs. 308

Let the speed of train B be x,

Length of Train A = 120 m

Length of Train B = 240 m

T = D/S

{(120 + 240) / [(120/15) + x]} = 15

360/(8 + x) = 15

24 = 8 + x

X = 24 โ 8 = 16 m/s

Directions (Q. 6 โ 10):

The total number of graduate students from institution A and C together

= > 15000*(14/100)*(4/7) + 15000*(16/100)*(3/8)

= > 1200 + 900 = 2100

The total number of higher secondary students from institution B and D together

= > 15000*(17/100)*(1/3) + 15000*(11/100)*(2/3)

= > 850 + 1100 = 1950

Required ratio = 2100: 1950 = 14: 13

The total number of total number of higher secondary students from institution A

= > 15000*(14/100)*(3/7) = 900

The total number of total number of graduate students from institution D

= > 15000*(11/100)*(1/3) = 550

Required difference = 900 โ 550 = 350

The total number of graduate students from institution D, E and F together

= > 15000*(11/100)*(1/3) + 15000*(23/100)*(2/5) + 15000*(19/100)*(3/5)

= > 550 + 1380 + 1710 = 3640

The ratio of total number of male to that of female graduates from institution C

= > 8: 7

The total number of male graduates from institution C

= > 15000*(16/100)*(3/8)*(8/15) = 480

The total number of higher secondary students from institution F

= > 15000*(19/100)*(2/5) = 1140

Required sum = 480 + 1140 = 1620

Higher secondary students:

In institution A,

= > 15000*(14/100)*(3/7) = 900

In institution B,

= > 15000*(17/100)*(1/3) = 850

In institution C,

= > 15000*(16/100)*(5/8) = 1500

In institution D,

= > 15000*(11/100)*(2/3) = 1100

In institution E,

= > 15000*(23/100)*(3/5) = 2070

In institution F,

= > 15000*(19/100)*(2/5) = 1140

Institution A has second lowest number of higher secondary students.

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