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Question 1 of 10

1. Question

1 points

Category: Quantitative Aptitude

Two trains Samta Express and AP Express simultaneously started on two parallel tracks from Nagpur to Raipur, which are 416 km apart. The ratio of the speed of Samta Express and AP Express is 6:7. After travelling, how long does AP express exchanges the speed with Samta Express so that both the trains reach at their destination simultaneously:

Correct

Answer:3.224km Solution:
For time t1 distance covered by Samata and AP express are 6xt1 and 7xt1 respectively
After they exchanged speeds suppose they take t2 time then the distances covered by Samta and AP express are 7xt2 and 6xt2 respectively
Then total distance covered by trains
6xt1+7xt2 = 416
7xt1+6xt2 =416
Then t1 = t2 let it be t
13xt = 416
xt = 32
After travelling 7xt = 224 km AP Express exchanges speed with Samta Express

Incorrect

Answer:3.224km Solution:
For time t1 distance covered by Samata and AP express are 6xt1 and 7xt1 respectively
After they exchanged speeds suppose they take t2 time then the distances covered by Samta and AP express are 7xt2 and 6xt2 respectively
Then total distance covered by trains
6xt1+7xt2 = 416
7xt1+6xt2 =416
Then t1 = t2 let it be t
13xt = 416
xt = 32
After travelling 7xt = 224 km AP Express exchanges speed with Samta Express

Question 2 of 10

2. Question

1 points

Category: Quantitative Aptitude

A boat takes 7 hours more while going back in upstream than in downstream. If the distance between two places is 30 km and the speed of the boat in still water is 6.5kmph, what must be the speed of a boat in still water so that it can row downstream 30 km in 4 hours?

Correct

Answer:4.4km/hr Solution:
7 = 30(1/6.5-R – 1/6.5+R)
R =3.5
S+R = 30/4 =7.5
S =7.5-3.5 =4

Incorrect

Answer:4.4km/hr Solution:
7 = 30(1/6.5-R – 1/6.5+R)
R =3.5
S+R = 30/4 =7.5
S =7.5-3.5 =4

Question 3 of 10

3. Question

1 points

Category: Quantitative Aptitude

Rehman starts in a Car from Agra towards Delhi. After sometime he realize that he will cover only 75% of the distance in the scheduled time and he therefore doubles his speed immediately and thus manages to reach Delhi exactly on time. Find the time after which Rehman changed his speed, given that he could have been late by 4 hours if he had not changed his speed:

Correct

Answer:4.8hr Solution:
t = 0.75d/s; st =0.75d……1
t+3 =d/s; s(t+4) = d…….2
Equation 1/2 we get t =12
d =16s
Now after he realizes doubles his speed
d =s*t+ 2s*(12-t)
t = 8

Incorrect

Answer:4.8hr Solution:
t = 0.75d/s; st =0.75d……1
t+3 =d/s; s(t+4) = d…….2
Equation 1/2 we get t =12
d =16s
Now after he realizes doubles his speed
d =s*t+ 2s*(12-t)
t = 8

Question 4 of 10

4. Question

1 points

Category: Quantitative Aptitude

Srilaxmi Printers prepares diaries expecting to earn a profit of 52% by selling on the Marked Price. But during transportation 18% diaries were got spoiled due to rain and 32% could be sold only at 75% of the cost price. Thus the remaining 50% diaries could be sold at the expected price. What is the net profit or loss in the whole consignment?

Correct

Answer: 4. No profit or no loss Solution:
Let total dairies be x
MP = CP*152/100
18% dairies spoiled
32% sold at 75% of CP and rest at MP
Then SP of x dairies = 32/100*x*75/100*CP+50/100*x*MP
SP = 32/100*75/100*CP+50/100*152/100*CP
SP = CP (32*75+50*152)/100*100
SP = CP
No profit or no loss

Incorrect

Answer: 4. No profit or no loss Solution:
Let total dairies be x
MP = CP*152/100
18% dairies spoiled
32% sold at 75% of CP and rest at MP
Then SP of x dairies = 32/100*x*75/100*CP+50/100*x*MP
SP = 32/100*75/100*CP+50/100*152/100*CP
SP = CP (32*75+50*152)/100*100
SP = CP
No profit or no loss

Question 5 of 10

5. Question

1 points

Category: Quantitative Aptitude

In Balaji Temple every devotee offers fruits to the orphans. Thus every orphan receives Pomegranates, Mangoes and Apples in the ratio of 4:3:7 in terms of dozen. But the weight of three Apples is 108 gm and weight of Pomegranate and Mango are in the ratio of 6:5, while the weight of a Mango is 120 gm. Find the ratio of all the three fruits in terms of weight, that an orphans gets:

Correct

Answer: 5. None of these Solution:
3 Apples = 108
1 Apple = 36 gm
Mango = 120
Pomegranate = 144
ratio = 4*144: 3*120: 7*36
16:10:7

Incorrect

Answer: 5. None of these Solution:
3 Apples = 108
1 Apple = 36 gm
Mango = 120
Pomegranate = 144
ratio = 4*144: 3*120: 7*36
16:10:7

Question 6 of 10

6. Question

1 points

Category: Quantitative Aptitude

The amount of work in a Cigaratte factory is increased by 25%. By what per cent is it necessary to increase the number of workers to complete the new amount of work in previously planned time, if the productivity of the new labor is 25% more?

Correct

Answer: 2. 20% Solution:
MDE/W = constant
Days are same
increased labor be x
(M*E+ x*E*125/100)/W*125/100 = M*E/W
125M = 100M+x*125
M= 5x
% is x/M*100 = 20%

Incorrect

Answer: 2. 20% Solution:
MDE/W = constant
Days are same
increased labor be x
(M*E+ x*E*125/100)/W*125/100 = M*E/W
125M = 100M+x*125
M= 5x
% is x/M*100 = 20%

Question 7 of 10

7. Question

1 points

Category: Quantitative Aptitude

Suresh and Rajesh each invested Rs.10,000 for 3 years at the same rate of interest but Rajesh’s investment is compounded annually while Suresh’s investment is charged on simple interest. What amount did Rajesh received more than Suresh?

Correct

Answer: 4. Data insufficient Solution:
From the above data without interest rate cannot be determined

Incorrect

Answer: 4. Data insufficient Solution:
From the above data without interest rate cannot be determined

Question 8 of 10

8. Question

1 points

Category: Quantitative Aptitude

A cylindrical cistern whose diameter is 21 cm is partly filled with water. If a rectangular block of iron 22 cm in length, 27 cm in breadth and 14 cm in thickness is wholly immersed in water, by how many cm will the water level rise?

Correct

Answer: 2. 24 cm Solution:
Volume of Cube = 22*27*14
22*27*14 =22/7*21/2*21/2*h
h=24

Incorrect

Answer: 2. 24 cm Solution:
Volume of Cube = 22*27*14
22*27*14 =22/7*21/2*21/2*h
h=24

Question 9 of 10

9. Question

1 points

Category: Quantitative Aptitude

The average price of 80 Mobiles in a shop is Rs. 15,000, if the highest and lowest priced mobiles are sold out then the average price of the remaining 78 mobiles is Rs.14,750. The cost of the highest price mobile is Rs.37,125. The cost of lowest price Mobile is:

The sum of the ages of 4 members of a family four years ago was 96 years. Today, when the daughter has been married off and replaced by a daughter in law , the sum of their ages is 92 .Assuming that there has been no other change in the family structure and all the people are alive, what is the difference in the age of the daughter and the daughter in law?