Quantitative Aptitude Materials for RRB PO Mains:
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Directions (1 – 10): Each question contains a statement followed by Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.
1) Quantity I: The area of rectangular garden is 2080 Sq m. The length of the rectangular garden is 30 % more than the breadth. Find the perimeter of the garden?
Quantity II: The area of a square park is 2304 Sq m. Find the perimeter of the park?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
2) Quantity I: The shopkeeper sold an article at 15 % discount on marked price and he gains 25 %. If the marked price of the article is Rs. 600, then the cost price is?
Quantity II: The shopkeeper marks the price of the book Rs. 550 and his profit % is 20 %. Find the cost price of the book, if he allows a discount of 16 %?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
3) Quantity I: 240 m long train can crosses a pole in 8 sec. The speed of the train is,
Quantity II: 200 m long train can crosses a platform of length 160 m in 24 sec. The speed of the train is,
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
4) A bag contains, 4 pink, 7 yellow and 5 black balls.
Quantity I: If 3 balls are drawn randomly, then find the probability of getting at least one yellow ball?
Quantity II: If 2 balls are drawn randomly, then find the probability of getting both the balls are either pink or black?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
5) Quantity I: A and B started a business by Rs. 5400 and Rs. 7200 respectively. A invested only 6 months and they divided their shares after a year. The ratio of profit of A and B is 3: 8. Then how many months B invested the money?
Quantity II: P and Q invested in the ratio of 7: 10. P invested the money for 10 months. The ratio of profit of P and Q is 7: 12. Then, how many months Q invested the money?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
6) Quantity I: If √25 x + √5625 = 0, then find the value of x?
Quantity II: If (243)1/5 y + (1728)1/3 = 0, then find the value of y?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
7) Quantity I: Mani can swim at 5 km/hr in still water. The river flows at 3 km/hr and it takes 6 hours more upstream than downstream for the same distance. How far is the place?
Quantity II: A man can row 15 km/hr in still water and the river is running at 7 km/hr. If the man takes 3 hr to row to a place and back, how far is the place?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
8) Quantity I: A bangle was sold for Rs. 250 with a profit of 25 %. If it were sold for Rs. 230, then what would have been the percentage of profit?
Quantity II: A person bought two books for Rs. 600 each. He sold one at a profit of 20 % and the other at a loss of 10 %. What would be his overall profit or loss in the transaction?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
9) Quantity I: The difference between the simple interest and compound interest on a certain sum of money for 2 years at 6 % per annum is Rs. 72. Find the sum?
Quantity II: A certain sum of money invested for a period of 3 years at 10 % per annum, simple interest earned is Rs. 7500. Find the principle?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
10) Quantity I: 5 years ago, the ratio of age of A and B is 2: 3. After 2 years, the sum of their ages is 44. Then find the present age of A?
Quantity II: 5 years ago, the ratio of age of P and Q is 3: 4. P’s age after 6 years is equal to the present age of Q. Then find the present age of P?
a) Quantity I > Quantity II
b) Quantity I ≥ Quantity II
c) Quantity II > Quantity I
d) Quantity II ≥ Quantity I
e) Quantity I = Quantity II or Relation cannot be established
Answers :
Direction (1-10) :
1). Answer: c)
Quantity I:
The area of rectangular garden= 2080 Sq m
Length = (130/100)*breadth
l/b = 13/10 = > l : b = 13 : 10
13x*10x = 2080
130x2 = 2080
X2 = (2080/130) = 16
X = 4
Length = 52 m, Breadth = 40 m
Perimeter of the garden = 2*(l + b) = 2*(52 + 40) =2*92 = 184 m
Quantity II:
The area of a square park = 2304 Sq m
Area (a2) = 2304
Side (a) = 48
Perimeter of the park = 4a = 4*48 = 192 m
Quantity II > Quantity I
2). Answer: a)
Quantity I:
Selling price of the article = 600*(85/100) = Rs. 510
Cost price of the article
= > CP*(125/100) = 510
= > CP = 510*(100/125)
= > CP = Rs. 408
Quantity II:
Selling price of the book = 550*(84/100) = Rs. 462
Cost price of the book = 462*(100/120) = Rs. 385
Quantity I > Quantity II
3). Answer: a)
Quantity I:
Speed = Distance/Time
= > 240/8
= > 30 m/sec
The speed of the train = 30 m/sec
Quantity II:
Distance = Length of train + Platform length = 200 + 160 = 320 m
Speed = 360/24 = 15 m/sec
Quantity I > Quantity II
4). Answer: a)
Total no of balls = 4 + 7 + 5 = 16 balls
Quantity I:
n(S) = 16C3 = (16*15*14)/(1*2*3)
The probability of getting at least one yellow ball = 1- P (None is yellow ball)
P (None is yellow ball)
n(E) = 9C3 = (9*8*7)/(1*2*3)
P(E) = n(E)/n(S) = 9C3 /16C3
= > [(9*8*7)/(1*2*3)] / [(16*15*14)/(1*2*3)]
= > 3/20
Required probability = 1 – (3/20) = 17/20
Quantity II:
n(S) = 16C2 = (16*15)/(1*2)
n(E) = Probability that both the balls are either pink or black
n(E) = 4C2 or 5C2
P(E) = n(E)/n(S)
= > [4C2 or 5C2] / 16C2
= > [6 + 10] / [(16*15)/(1*2)]
= > (16*2)/(16*15) = 2/15
Quantity I > Quantity II
5). Answer: e)
Quantity I:
According to the question,
(5400*6)/(7200*x) = (3/8)
54*6/72x = 3/8
18/12x = 1/8
6/x = 1/2
X = 12 months
Quantity II:
According to the question,
(7*10)/(10x) = (7/12)
X = 12 months
Quantity I = Quantity II
6). Answer: c)
Quantity I:
√25 x + √5625 = 0
5x = – 75
X = -15
Quantity II:
(243)1/5 y + (1728)1/3 = 0
(35)1/5 y = – (123)1/3
3y = -12
Y = – 4
Quantity II > Quantity I
7). Answer: c)
Quantity I:
x/(5-3) – x/(5+3) = 6
x/2 – x/8 = 6
3x/8 = 6
X= 16 km
Quantity II:
Speed of still water (x) = 15 km/hr,
Speed of stream (y) = 7 km/hr
D = t*[(x2 – y2)/2x]
= > 3*[(152-72)/(2*15)]
= > 3*(225 – 49)/30
= > 3*(176/30)
= >17.6 km
Quantity I < Quantity II
8). Answer: a)
Quantity I:
According to the question,
(125/100)*CP = 250
CP = 250*(4/5) = Rs. 200
SP = 230
Profit % = (Profit/CP)*100
= > (30/200)*100
= > 15 %
Quantity II:
According to the question,
CP1= 600, Profit = 20 %
SP1 = 600*(120/100) = 720
CP2 = 600, Loss = 10 %
SP2= 600 × (90/100) = 540
Total selling price = S.P1 + S.P2 = 720 + 540 = 1260
Total cost price = 600 + 600 = 1200
Profit % = (60/1200)*100 = 5 %
Quantity I > Quantity II
9). Answer: c)
Quantity I:
The difference between the simple interest and compound interest for 2 years,
Diff = Sum*(r/100)2
72 = Sum*(6/100)2
(72*100*100)/36 = Sum
Sum = Rs. 20000
Quantity II:
- I = Pnr/100
7500 = (P*3*10)/100
(7500*100)/30 = P
Principle = Rs. 25000
Quantity II > Quantity I
10). Answer: c)
Quantity I:
5 years ago, the ratio of age of A and B = 2 : 3 (2x, 3x)
According to the question,
2x + 3x + 14 = 44
5x = 30
X = 6
The present age of A = 2x + 5 = 17 years
Quantity II:
5 years ago, the ratio of age of P and Q = 3 : 4(3x, 4x)
According to the question,
3x + 5 + 6 = 4x + 5
X = 6
The present age of P = 3x + 5 = 18 + 5 = 23 years
Quantity I < Quantity II
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