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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeFind the wrong number in the series.
1, 6, 21, 53, 105, 186Correct
Answer – 4) 53
Explanation:
1³-1²+1=1
2³-2²+2=6
3³-3²+3=21
Therefore, 4³-4²+4=52Incorrect
Answer – 4) 53
Explanation:
1³-1²+1=1
2³-2²+2=6
3³-3²+3=21
Therefore, 4³-4²+4=52 -
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeThe value of ((3.2)³-0.008)/((3.2)²+0.64+0.04)
Correct
Answer –4) 3
Explanation:
((3.2)³-(0.2)³)/((3.2)²+0.64+0.04)
Therefore, a³- b³=(a-b)(a²+ab+b²)
(3.2-0.2){(3.2)²+(0.2)²+3.2*0.2}/(3.2)²+3.2*0.2+(0.2)²
3.2-0.2
3Incorrect
Answer –4) 3
Explanation:
((3.2)³-(0.2)³)/((3.2)²+0.64+0.04)
Therefore, a³- b³=(a-b)(a²+ab+b²)
(3.2-0.2){(3.2)²+(0.2)²+3.2*0.2}/(3.2)²+3.2*0.2+(0.2)²
3.2-0.2
3 -
Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeP and Q started a business by investing Rs 45,000 and Rs 54,000 respectively. After four months R joined the business with a capital of Rs 30,000. After two more months Q left the business with his capital. At the end of the year P got a share of Rs 13,500 in the pro t. What is the total profitearned?
Correct
Answer- 2) 27600
Explanation:
P— 45000*12
Q— 54000*6
R—-30000*8
Ratio of their profit= 45: 27: 20
Earned Profit = (92/45) * 13500= 27600 Rs.Incorrect
Answer- 2) 27600
Explanation:
P— 45000*12
Q— 54000*6
R—-30000*8
Ratio of their profit= 45: 27: 20
Earned Profit = (92/45) * 13500= 27600 Rs. -
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeA water reservoir has two inlets and one outlet. Through the inlet it can be filled in 3 hours and 3 hours 45 minutes respectively. It can be emptied completely in 1 hour by the outlet. If the two inlets are opened at 01:00 pm and 02:00 pm respectively and the outlet at 03:00 pm then it will beemptied at.
Correct
Answer – 3) 05:20pm
Explanation:
Incorrect
Answer – 3) 05:20pm
Explanation:
-
Question 5 of 10
5. Question
1 pointsCategory: Quantitative Aptitude15x²-41x+14=0
2y²-13y+20=0Correct
Answer –2) x<y
Explanation:
15x²-41x+14=0
15x²-35x-6x+14=0
5x(3x-7)-2(3x-7)=0
X=2/5, 7/32y² -13y+20=0
2y²-8y-5y+20=0
2y(y-4)-5(y-4)=0
Y=5/2, 4
Therefore, x<yIncorrect
Answer –2) x<y
Explanation:
15x²-41x+14=0
15x²-35x-6x+14=0
5x(3x-7)-2(3x-7)=0
X=2/5, 7/32y² -13y+20=0
2y²-8y-5y+20=0
2y(y-4)-5(y-4)=0
Y=5/2, 4
Therefore, x<y -
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeStudy the given information carefully and answer the questions that follow:
A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that either all are green or all are red?
Correct
Answer – 4) 1/44
Explanation:
Required probability= (3C3 + 4C3)/12C3
1+4/220
5/220
1/44Incorrect
Answer – 4) 1/44
Explanation:
Required probability= (3C3 + 4C3)/12C3
1+4/220
5/220
1/44 -
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeTwo cubes each of 10 cm edge are joined end-to-end. Then, the surface area of the resulting cuboid is
Correct
Answer –2) 1000cm²
Explanation:
Length of cube= 10+10=20cm
Breadth= 10cm
Height= 10cm
Surface area= 2(lb+bh+hl)
2 (20*10+ 10*10 + 10*20)
2*500= 1000cm²Incorrect
Answer –2) 1000cm²
Explanation:
Length of cube= 10+10=20cm
Breadth= 10cm
Height= 10cm
Surface area= 2(lb+bh+hl)
2 (20*10+ 10*10 + 10*20)
2*500= 1000cm² -
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeA train is travelling at a speed of 45Km/hr. How many seconds it will take to cover a distance of 4/5km?
Correct
Answer – 2) 64 sec
Explanation:
Time= Distance/Speed
Therefore, time= (4/5)/45
= 4/225 hrs
= (4/225)* 3600 = 64 seconds.Incorrect
Answer – 2) 64 sec
Explanation:
Time= Distance/Speed
Therefore, time= (4/5)/45
= 4/225 hrs
= (4/225)* 3600 = 64 seconds. -
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeA car worth Rs 1,50,000 was sold by X to Y at 5% profit. Y sold the car back to X at 2% loss. In the entire transaction
Correct
Answer – 3) X gained Rs 3150
Explanation:
ATC,
2000 units=150000
1 units = 75
42 units= 75*42 = 3150
X gained 3150 rs.Incorrect
Answer – 3) X gained Rs 3150
Explanation:
ATC,
2000 units=150000
1 units = 75
42 units= 75*42 = 3150
X gained 3150 rs. -
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeWhat is the LCM of the two numbers?
I. Product of the two numbers is 2700 and their sum is 105.
II. Ratio of number is 3:4 and their HCF is 21.Correct
Answer –3) Data in statement I or statement II is alone sufficient to answer the question
Explanation
From I
Let the number be A and B
So,
(AB) = 2700 (i)
(A+B) = 105 (ii)
(A-B)2 = (A+B)2 – 4AB
(A-B) = 15 (iii)
By solving (ii) and (iii) we get
A= 60 and B=45
Thus LCM = 180
Hence I is sufficient to answerFrom II
Let the number be 3Y and 4Y
So, as we know
HCF = Y = 21
So the number are 63 and 84
Thus LCM = 252
Hence II is sufficient to answerIncorrect
Answer –3) Data in statement I or statement II is alone sufficient to answer the question
Explanation
From I
Let the number be A and B
So,
(AB) = 2700 (i)
(A+B) = 105 (ii)
(A-B)2 = (A+B)2 – 4AB
(A-B) = 15 (iii)
By solving (ii) and (iii) we get
A= 60 and B=45
Thus LCM = 180
Hence I is sufficient to answerFrom II
Let the number be 3Y and 4Y
So, as we know
HCF = Y = 21
So the number are 63 and 84
Thus LCM = 252
Hence II is sufficient to answer
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