Installmets

Formulas to solve the problems based on Installments

Aptitude Test-3

Reasoning aptitude questions - based on problems of ages- age ratio - average of ages etc.
quantitative aptitude questions paper for competition exam contains some question based on "AGE" .

These reasoning aptitude question are very helpful for - ibps clerk exam paper- sbi clerk recruitment - railway jobs exam, sbi po job , ibps exams, ssc cgl  etc. 
Read these questions and try to solve it fast :-

Question 1-
A person's present age is two-fifth of the age of his mother. After 8 years, he will be

one-half of the age of his mother. How old is the mother at present ?

(a) 45
(b) 32
(c) 40
(d) 29
(e) none of these

Question 2-
Ten years ago, Kumar was thrice as old as Selva was but 10 years hence, he will be
only twice as old. Find Kumar’s present age?


(a) 34
(b) 30
(c) 32
(d) 36
(e) none of these

Question 3-
A father is four times as old as his son today. After 20 years, he would be just twice
as old. At the time of birth of his son, how much old must the father be?
(a) 29
(b) 30
(c) 32
(d) 35
(e) none of these

Question 4-
Three years ago, the average age of a family of 5 members was 17. A baby having
been born the average age of the family is the same today? What is the age of the
child?
(a) 1 Year
(b) 2 year
(c) 3 Year
(d) 4 Year
(e) none of these


Question 5-
The total age of A and B is 12 year more than the total age of B and C. C is how
many years younger that A?

(a) 18
(b) 14
(c) 12
(d) 10
(e) None of these

Question 6-
Raman was thrice as old as Snehal 6 years back. Raman will be 5/3 times as old as
Snehal 6 years hence. How old is Snehal today?

(a) 12
(b) 13
(c) 11
(d) 10
(e) none of these

Question 7-
The ages of A and B are in the ratio of 6:5 and sum of their ages is 44 years. The
ratio of their ages after 8 years will be: ?

(a) 7: 6
(b) 7: 8
(c) 6: 7
(d) 8: 7
(e) None of these

Question 8-
The ratio of the ages of Akansha and Arpit is 2 : 5, After 8 years, their ages will be in
the ratio of 1 : 2. The difference in their present ages (in years) is?

(a) 40
(b) 16
(c) 24
(d) 8
(e) None of these

Question 9-
The ratio of the ages of Ramesh and Suresh is 4 : 3. The sum of their ages is 28
years. The ratio of their ages after 8 years will be:
(a) 6: 5
(b) 5: 6
(c) 7: 6
(d) 6: 7
(e) None of these

Question 10-
The Average age of a class of 22 students is 21 years. The average increased by 1
when the teacher’s age also included. What is the age of the teacher?
(a) 41
(b) 42
(c) 44
(d) 45
(e) None of the above

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Ratios, Mixtures and Allegations

Ratio and mixture questions are common in every exams like bank jobs  exam conducted by ibps, state bank of india, competitive exams, ssc, staff selection commission exams, CAT- common aptitude test etc. 

Its not tough to learn this section. There is only need of practice class. 

Alligation or mixture is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price.  It consist of two parts:-

Mean price

Cost price

Mean price is  a price of a unit quantity of the mixture.

What is formula for mixture/ alligation

(Quantity of cheaper) = (C.P. of dearer) - (Mean price)

(Quantity of dearer)       (Mean price) - (C.P. of cheaper)

C.P.  means cost price

                            

C.P. of a unit quantity                                       C.P. of a unit quantity 
of cheaper                                                          of dearer

So 

cheaper quantity : dearer =   (d-m ) : (m-c)

<

Example:-

In what ratio must water be mixed with milk to gain 20 %  by selling the mixture at cost price?

Solution:-

Suppose cost price of 1 litre milk is = Rs 1

Than selling price of 1 l mixture     = Rs 1 as we are selling it on cost price

We got profit of  20 %

C.P. of 1 litre of mixture = Rs.[(100/120)* 1]=Rs.5/6

As C.P.  =  [(100/100+p)* S.P.]

                       C.P. of 1 litre of water                    C.P. of1litre ofmilk

                         0                                             Rs 1

                   (1- (5/6))= 1/6                                                    ((5/6)-0)=5/6

So therefore ratio of water and milk=

1/6 : 5/6 

Aptitude Test-2

1- Speed of a train is 20 meters per second. It can cross a pole in 10 seconds. What is the length of train ?

(a) 150 m

(b) 200 m

(c) 250 m

(d) 300 m 

2- In a 100 m race A runs at a speed of 1.66 m/s. If A gives a start of 4m to B and still beats him by 12 seconds. What is the speed of B

(a) 1 m/s

(b) 1.25 m/s

(c) 1.33 m/s

(d) 1.5 m/s

3- 

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time.  On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of  car ?

(a) 100 kmph

(b) 110 kmph

(c) 120 kmph

(d) 130 kmph

4- 

A jeep travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?

(a) 70.24 km/hr

(b) 71.11 km/hr

(c)  72.21  km/hr

(d)  74. 24 km/hr

Answer:- (b)

5- 

A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance travelled on foot is:

(a) 13 km

(b) 14 km

(c) 15 km 

(d) 16 km

6-

The speed of a bus increases by 2 km after every one hour. If the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?

(a) 422 km

(b) 552 km

(c) 502 km

(d) 492 km

7-

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

(a) 224 km

(b) 226 km

(c) 230 km

(d) 234 km

8- 

 A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?

(a) 42 km/hr

(b) 44 km/hr

(c) 48 km/hr

(d) 50 km/hr

9-

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

(a) 40 km/hr

(b) 45 km/hr

(c) 60 km/hr

(d) 50 km/hr

10-

How many minutes Ajay will take to cover a distance of 400 meters if he runs at a speed of 20 km/hr ?

(a) 1 1/5 mins

(b) 1.5 mins

(c) 2 mins

(d) 2.5 mins

Aptitude Test-1

1. Two, trains, one from Howrah to Patna an d the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

A.    2 : 3        B.        4 : 3         C.    6 : 7       D.    9 : 16

2. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

A.    45 m    B.        50 m      C.    54 m    D.    72 m


3. Two stations A and B are 110 km apart on a staright line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

A.    9 a.m.    B.        10 a.m.          C.    10.30 a.m.    D.    11 a.m.


4. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A.    35    B.        40         C.    45    D.    50


5. Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

A.    7 hours 30 minutes    B.    8 hours           C.        8 hours 15 minutes            D.    8 hours 25 minutes


6. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A.    30 days    B.    40 days     C.        60 days      D.    70 days


7. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A.    Rs. 21,000    B.    Rs. 22,500          C.        Rs. 25,300        D.    Rs. 25,800


8. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A.    No profit, no loss    B.        5%          C.    8%    D.    10%             E.    None of these


9. Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

A.    16 years    B.    18 years         C.    28 years    D.        24.5 years           E.    None of these


10. Ayesha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

A.    2 years    B.    4 years         C.        6 years          D.    8 years



11. In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?

A.    810    B.    1440           C.    2880    D.        50400        E.    5760



12. In how many ways can the letters of the word ‘LEADER’ be arranged?

A.    72       B.    144         C.        360          D.    720       E.    None of these



13. How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

A.    40         B.    400           C.        5040         D.    2520



14. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

A.        23 years             B.    24 years              C.    25 years          D.    None of these



15. In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doesn’t not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

A.        67 kg.           B.    68 kg.           C.    69 kg.      D.    Data inadequate           E.    None of these


Bank and competition exams, Exams sample paper, Math Paper, numerical aptitude, Math Question Paper, Math Test Paper, numerical aptitude,

Question	Answer	Question	Answer
1	B	8	B
2	B	9	D
3	B	10	C
4	B	11	D
5	C	12	C
6	C	13	C
7	C	14	A
15	A