KRISHNA MOHAN

Friday, 4 August 2017

Reasoning Quiz

Directions(Q.1-5):Read the following set of information and then answer the following questions.

1) There is a group of six persons living in a four storeyed building. The Persons are Anu, Bani, Chavi,

Deep, Enna, Firoj. Each storey of the building has two flats; thus there are eight flats in all, two of them being empty.

2) The heaviest of the group lives onthe top floor while the lightest lives on the ground floor.

3) Chavi is heavier then Bani, Who, in turn is heavier than Firoj.Enna is lighter than deep.

4) Anu is neither the heaviest nor the lightest.

5) There are only Two people heavier than Chavi; Anu is not one of them.

6) Bani shares the floor with the heaviest while Chavi shares with the lightest.

1.Who among the following is the heaviest of the group?

a.Deep

b.Chavi

c.Firoj

d.Can't Say

e,None of these

2.Who does Chavi Share the floor with?

a.Firoj

b.Enna

c.Anu

d.Can't say

e.None of these

3.On which floor does Anu live?

a.Ground floor

b.1st floor

c.2nd floor

d.Top floor

e.Can't say

4.Enna and Anu lives ________ ?

a.on same floor

b.on two continuous floor

c.with one floor between their floors

d.with two floor between their floors

e.Can't say

5.Starting from the heaviest of the group ,What is rank of Anu in order of weight?

a.4th

b.5th

c.6th

d.4th or 5th

e.5th or 6th

Directions(Q.6-13):Read the following set of information and then answer the following questions.

1. There is a group of seven persons in a family, A,B,C,D,E,F and G. They all appeared in an I.Q. test to test their intelligence.

2. There are two married couple in the family and three females in total.

3. G, a female , is the most intelligent.

4. B, the father of E, is more intelligent than his son.

5. C has one son and one daughter. She is more intelligent than her husband.

6. The father of B is more intelligent then B himself.

7. E, the grandson of F, is the least intelligent. F the grandfather is the second most intelligent in the family.

8. The mother of B is less intelligent Than B.

9. The grandmother of G has two sons, one of whom is D, who is more intelligent than his brother but less intelligent than his sister in law.

10. Nobody is a widow or a widower in the family.

6.Who among them is a married couple?

a.AF

b.AE

c.AC

d.AD

e.none of these

7.how is G related to D?

a.cousin

b.daughter

c.daughter in law

d.niece

e.Can't say

8.Who is third most intelligent in the family?

a.C

b.D

c.B

d.A

e.can't say

9.How are C and A related?

a.daughter in law and mother in law

b.daughter in law and father in law

c.sister in law

d.mother and daughter

e.can't say

10.Who among the following is not of the same generation as others ?

a.D

b.B

c,C

d.A

e.None of these

11.The one who is most intelligent is not a

a.Granddaughter

b.daughter

c.neice

d.sister

e.none of these

12.Who is the less intelligent than all but E?

a.A

b.B

c.C

d.D

e.can't say

13.Who is B married to?

a.A

b.D

c.C

d.can't say

e.none of these

14.In which of the following expressions will the expression ‘L < R’ be definitely true?

a.L ≥ M > N = R

b.L = M < N > R

c.L < M ≤ N ≤ R

d.R ≥ M = N < L

e.None of these

15.In which of the following expressions does the expression ‘D > A’ does not hold true?

a.A < B ≤ C = D

b.D ≥ B > C ≥ A

c.A ≤ B = C < D

d.D ≥ C ≥ B > A

e.A > B ≤ C = D

Answers

Q.(1-5).

D>E>C>A>B>F Or D>E>C>B>A>F

D	B
E/A	Empty
E/A	Empty
C	F

1.a

2.a

3.e

4.b

5.d

Q.(6-13).

G>F>C>D>B>A>E

Male- F, D, B, E

Female- A, C, G

6.a

7.d

8.a

9.a

10.d

11.e

12.a

13.c

14.c

15.e

Reasoning Quiz

1. Statements: All petals are flowers.

Some Seeds are buds.

Some buds are Branchs.

All Branchs are plants.

Conclusions:

I. Some petals are not buds.

II. Some Seeds are plants.

III. No Seeds is plant.

(a) Only I follows

(b) Either II or III follows

(d) Only III follows

(e) None of the above

2. Statements:

Some pens are Penciles.

Some Penciles are Rubbers.

All Rubbers are cards.

No card is paper.

Conclusions:

I. No Rubbers is paper.

II. Some cards are Penciles.

III. Some Penciles are not paper.

(a) I and II follow

(b) Only I follows

(d) All follow

(e) None follows

3. Statements: Some Pink are green.

All green are Blue.

No Blue is stone.

Some stones are Red.

Conclusions:

I. Some stones are pink

II. Some Red being Blue is a possibility.

III. No stone is pink.

(a) Only I follows

(b) Only II follows

(d) I and II follow

(e) None of these

4. Statements: Some Car are Bike.

Some Bike are buildings.

All buildings are Tree.

All Tree are Flower.

Conclusions:

I. All Car being building is a possibility

II. All Tree are not buildings.

III. No Bike is Flower.

(a) None follows

(b) Only I follows

(d) II and III follow

(e) Only II follows

5. Statements: All chairs are tables.

All tables are bottles.

Some bottles are jars.

No jar is bucket.

Conclusions:

I. Some tables being jar is a possibility.

II. Some bottles are chairs.

III. Some bottles are not bucket.

(a) Only I follows

(b) I and II follow

(d) Only II follows

(e) None of these

Directions (Q.1-5) Study the following information and answer the given questions.

Eight Shampoos A, B, C, D, E, F, G and H, contained in eight different bottles,

are placed around a circular table in such a manner that the tap fixed to each bottle is directed outward from the centre of the table.

Each Shampoo is opf a different colour, viz Blue, Yellow, Orange, White, Green, Violet, Brown and Black, but not necessarily in the same order.

i) shampoo B is placed third to the right of shampoo D.

ii) The Yellow shampoo is placed on the immediate left of shampoo B.

iii) The colour of shampoo B is not white.

iv) shampoo F is placed fourth to the left of shampoo A.

v) Neither shampoo F nor shampoo A is an immediate neighbour of shampoo B.

vi) The colour of shampoo C is violet and is placed third to the left of the Yellow shampoo.

vii) The Green shampoo is placed second to the right of the violet shampoo.

viii) The Brown shampoo is placed second to the right of shampoo B.

ix) H is the Orange shampoo and is placed exactly between shampoo C and shampoo A.

x) The Blue shampoo is placed second to the left of the Orange shampoo.

xi) shampoo G is placed third to the right of shampoo C.

6. Which of the following shampoos is of White colour?

(a) D

(b) E

(d) F

(e) None of these

7. What is H’s position with respect to F?

(a) Third to the left

(b) Second to the left

(d) Second to the right

(e) Fourth to the left

8.How many shampoo bottles are placed between shampoo A and G (counted from G clockwise)?

(a) One

(b) Two

(d) Four

(e) None of these

9.Four of the following five are alike in a certain way and hence from a group. Which of the folowing does not belong to that group?

(a) Violet-Brown

(b) Black-Green

(d) Yellow-Blue

(e) Green -Yellow

10. What is the colour of shampoo B?

(a) Blue

(b) Black

(d) Can’t say

(e) None of these

Answers:

1.B
2.D
3.E
4.B
5.C
6.A
7.A
8.B
9.E
10.B

Quant Quiz

Directions : From a class total 360 students appeared in an exam. Three fourth of these are boys. 40 % boys failed in the exam,

two third of the girls are failed in the exam and remaining passed :

1.What is the ratio of the total number of girls to the number of boys who failed in the exam ?

1) 4 : 9

2) 9 : 5

3) 5 : 6

4) 6 : 3

5) None of these

2.What is the sum of the number of boys who failed and number of girls who passed in the exam ?

1) 148

2) 158

3) 128

4) 138

5) None of these

3.What is the difference between the number of boys who are passed and number of girls who are failed ?

1) 102

2) 202

3) 52

4) 302

5) None of these

4.What is the ratio of the total number of boys and girls who are passed to the number of boys and girls who are failed ?

1) 7 : 8

2) 8 : 7

3) 9 : 17

4) 5 : 7

5) None of these

5. Total number of boys passed is approximately what percent of total number of girls in the class ?

1) 60 %

2) 120 %

3) 150 %

4) 180 %

5) 270 %

Direction: A bag contains 4 red, 5 brown and 6 white balls. Three balls are drawn randomly :

6.What is the probability that balls drawn contains exactly two red balls ?

1) 54/145

2) 66/455

3) 46/105

4) 31/455

5) None of these

7.What is the probability that the balls drawn contains no brown ball ?

I) 11/65

2) 31/91

3) 24/91

4) 31/455

5) None of these

8.What is the probability that the balls drawn are not of the same colour ?

1) 34/455

2) 31/105

3) 74/105

4) 421/455

5) None of these

9. If two balls are drawn randomly then what is the probability that both the balls are of same colour ?

1) 31/105

2) 74/105

3) 34/455

4) 421/455

5) None of these

10.What is the probability that the three balls drawn are of different colour ?

1) 21/91

2) 31/105

3) 24/105

4) 24/91

5) None of these

ANSWERS:

1. 3

Ratio = 90/108 = 5/6

2. 4

Sum = 108 + 30 = 138

3. 1

Diff = 162 - 60 = 102

4. 2

Ratio = 192/168 = 8/7

5. 4

Req% = 162/90 * 100 = 180%

6. 2

n(S) = 15C3 = (15 * 14 * 13)/6 = 455

2 red balls can be selected in 4c2 = 6 ways

And remaining one ball can be selected in 11C1 = 11 ways

P(E) = (6 * 11)/455 = 66/455

7. 3

n(S) = 15C3 = 455

Three balls have to be selected from 4 red and 6 white balls

No. of ways = 10C3 = 120

P(E) = 120/455 = 24/91

8. 4

n(S) =15C3 = 455

If all three ball are of same colour, number of ways

= 4C3 + 5C3 + 6C3 = 4 + 10 + 20 = 34

P(E) = 34/455

For being different colour P(E) = 1 - 34/455 = 421/455

9. 1

n(S) = 15C2 = 105

n(e) = 4C2 + 5C2 + 6C2 = 6 + 10 + 15 = 31

P(E) = 31/105

10. 4

n(S) = 15C3 = 455

n(E) = 4C1 + 5C1 + 6C1 = 4 * 5 * 6 = 120

P(E) = 120/455 = 24/91

Quant Quiz

1. Mr. Rao invests a sum of Rs. 41, 250 at the rate of 6 p.c.p.a. What approximate amount of compound interest will he obtain at the end of 3 years?

A) Rs. 8,l00

B) Rs 7,425

C) Rs 8,210

D) Rs 7,879

E) Rs 7,295

2.The proﬁt after selling a pair of trousers for Rs. 863 is the same as the loss incurred after selling the same pair of trousers for Rs. 631.

What is the cost price of the pair of trousers?

A) Rs 750

B) Rs 800

C) Rs 763

D) Cannot be determined

E) None of these

3.The ratio of the length and the breadth of a rectangular plot is 6 : 5 respectively;

if the breadth of the plot is 34 metre less than the length, what is the perimeter of the rectangular plot?

A) 374 metre

B) 408 metre

C) 814 metre

D) 748 metre

E) None of these

4. Ninad, Vikas and Manav enter into a partnership. Ninad‘ invests some amount at the beginning.

Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad aﬁer 8 months.

They earn a proﬁt of Rs 45,000 at the end of the year. What is Manav’s share in the proﬁt?

A)Rs 25,000

B)Rs 15,000

C)Rs 12,000

D)Rs 9,000

E) None of these

5. The cost of 7 tables and 12 chairs is Rs 48,250. What is the cost of 21 tables and 36 chairs?

A) Rs 96,500

B) Rs l,25,500

C) Rs l,44,750

D) Cannot be determined

E) None of these

6. ‘A’ can complete a piece of work in 12 days. ‘A’ and ‘B’ together can complete the same piece of work in 8 days.

In how many days can ‘B’ alone complete the same piece of work?

A) 15 days

B) 18 days

C) 24 days

D) 28 days

E) None of these

7. What approximate value should come in place of the question mark (?) in the following question?

6523 ÷ 544 × l.2=?

A)21

B)33

C)14

D)8

E)28

8. Raman drove from home to a neighbouring town at the speed of 50 km/hr and on his return journey,

he drove at the speed of 45 km/hr and also took an hour longer to reach home. What distance did he cover each way?

A)450 km

B)225 km

C)900 km

D)500 km

E) None of these

9. The average weight of a group of 75 girls was calculated as 47 kg. It was later discovered that the weight of one of the girls was read as 45 kg,

whereas her actual weight was 25 kg. What is the actual average weight of the group of 75 girls? (Rounded off to two digits after decimal)

A)46.73 kg

B) 46.64 kg

C) 45.96 kg

D) Cannot be determined

E) None of these

10. In how many different ways can the letters of the word ‘MIRACLE’ be arranged?

A) 720

B) 5040

C) 2520

D) 40320

E) None of these

11. The sum of the two digits of a two-digit number is 12 and the difference between the two-digits of the two-digit number is 6.
What is the two-digit number?

A) 39

B) 84

C) 93

D) Cannot be determined

E) None of these

12. If an amount of Rs. 74, 336 is equally divided amongst 150 people, how much approximate amount would each person get?

A) Rs. 522

B) Rs. 485

C) Rs. 496

D) Rs. 488

E) Rs. 5 10

13. Mr. Sarang invests 6% of his monthly salary i.e. Rs 2,100 on insurance policies.

Also he invests 8% of his monthly salary on family mediclaim policies and another 9% of his salary on NSCs.
What is the total annual amount invested by Mr. Sarang?

A) Rs 11,400

B) Rs 96,600

C) Rs 8,050

D) Rs 9,500

E) None of these

14. A trader sells 145 metre of cloth for Rs 12,325 at the proﬁt of Rs 10 per metre’ of cloth. What is the cost price of 1 metre of cloth?

A) Rs. 65

B) Rs. 75

C) Rs. 95

D) Rs 85

E) None of these

15. There are 7 dozen candles kept in a box. If there are 14 such boxes, how many candles are there in all the boxes together?

A) 1176

B) 98

C) 1216

D) 168

E) None of these

Answers:-
1. D
2. E
3. D
4. B
5. C
6. C
7. C
8. A
9. A
10. B
11. E
12. C
13. B
14. B
15. A

1. (D) CI = P [(1+6/100)^T-1 ]
= 41250 [(1+6/100)^3-1 ]
= 41250 ((53 × 53 × 53 - 50 × 50 × 50)/(50 × 50 × 50))
= 41250 ((148857 - 125000)/125000)
= (41250 - 23877)/125000 =Rs. 7879

2.(E) CP of the pair of trousers = (863+631)/2
= 1494/2 = kg 747

3. (D) Let the length and breadth of the plot be 6x metre and 5x metre respectively.
6x – 5x = 34
X = 34
Perimeter of the plot = 2(6 * 34 + 5 * 34)
= 748 metre

4.(B) Let the investment of Ninad be Rs x
Investment of Vikas = Rs. 2x
And investment of Manav = Rs. 3x
Ratio of their investments
= x * 12 : 2x * 6 : 3x * 4
= 12x : 12x : 12x = 1 : 1 : 1
Manav’s share in the profit = 1/3 * 45000
= Rs. 15000

5. (C) Cost of 21 tables and 36 chairs = 3 * (48250)
= Rs. 144750

6. (C) Work of A for 1 day = 1/12
Work of (A + B) for 1 day = 1/8
Work of B for 1 day = 1/8 – 1/12 = 1/24
B alone can complete the same work in 24 days.

7. (C) ? = 6523 ÷ 544 * 1.2
= 6523/544 ×1.2=14 (App.)

8. (A) Let the distance covered by him each way be x km.
x/45 – x/50 = 1
(10x-9x )/450=1
x=450

9. (A) Actual average wt. = (75 ×47 +25-45)/75
= (3525-20)/75=3505/75
= 46. 73 kg.

10.(B) Reqd. different ways = 7p7
= 7!
= 5040

11. (E) Let the number be 10x + y
x + y = 12
and x – y = 6
x = 9
and y = 3
or, x =3
and y = 9
Hence the no. may be 93 or 39.

12.(C) The amount each would get = 74336/50
= Rs. 496 (App.)

13. (B) Total amount invested = 2100 * 23/6 = Rs. 8050
Annual investment =Rs. 8050*12 = 96,600

14. (B) Let the cost of 1 metre of cloth be Rs. x.
(x + 10) * 145 = 12325
145x + 1450 = 12325
x = (12325-1450)/145=Rs.75

15. (A) Total no. of candles = 14 * 7 * 12 = 1176

Quant Quiz

Directions: Following pie chart shows the monthly expenditure of a man on different items.

His income is Rs 8,000 monthly.

1. If his salary is Rs 8,000 then how much he pays for food?

1) Rs 1800

2) Rs 1920

3) Rs 2040

4) Rs 2200

5) None of these

2. What is the angle shown by medical expenditure?

1) 22°

2) 21 1/3°

3) 34°

4) 29 1/5°

5) 57 3/5°

3. What is his monthly saving?

1) Rs 1920

2) Rs 1720

3) Rs 1120

4) Rs 1260

5) None of these

4. What is the difference between money he spent on education and medical purposes?

1) Rs 360

2) Rs 260

3) Rs 160

4) Rs 60

5) None of these

5. If the salary is raised to Rs 12,000 and distribution on various items remains the same, then how much he spends on medical charges?

1) Rs 1800

2) Rs 2040

3) Rs 2200

4) Rs 1920

5) None of thes

Directions : Each question below is followed by two statements I and II. You are to determine whether the data -
given in the statement is sufficient to answer the question.

You should use the data and your knowledge of Mathematics to choose between the possible answers. Give answer—

1) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

2) If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

3) If both statements I and II together are needed to answer the question.

4) If either the statement I alone or the statement II alone is sufficient to answer the question.

5) If you cannot get the answer from the statements I and II together, but need even more data.

6. What is the area of rectangle?

I. Perimeter is 20 meter.

II. Sum of two adjacent sides is 10 meters.

7. How many letters can 12 typists type in one day?

I. A working day consists of 8 hours?

II. 5 typists can type 200 letters in 2 days.

8. If x and y are integers, is x + y an even number?

I. 5 < x < 10

II. 6 < y < 9

9. What is the value of P?

I. The average of x, y and P is 10.

II. –x = y

10. If a man wants to cover a square room with a carpet, how much will it cost?

I. If the service charge is Rs 15 and each square yard cost is Rs 20.

II. If the room were 1/2 as large in area, it would cost Rs 150 less

1. 2

(24*8000)/100 = 1920

2. 5

Angle = 16/100*360 = 288/5 = 57 3/5

3. 3

14/100 * 8000 = 1120

4. 3

Education = 18% of 8000

= 8000 * 18/100 = 1440

Medical = 16% of 8000

8000 * 16/100 = 1280

Difference = 1440 - 1280 = 160

5. 4

12000 * 16/100 = 1920

6. 5; Using Statement I:

2(L + B) = 20

L + B = 10

Using Statement II:

L + B = 10

So, even by using both the statements together we cannot

find the area of the rectangle.

7. 2; Using Statement II:

In 2 days 5 typists type 200 letters.

In 1 day 5 typists type 100 letters.

In 1 day 1 typist types 20 letters.

In 1 day 12 typists type 240 letters.

8. 5; Using Statement I:

x = 6, 7, 8, 9

Using Statement II:

y = 7, 8

So, even by using both the statements together we cannot

find the answer, as x + y can be odd as well as even.

9. 3;

From statement I:

(x + y + P)/3 = 10

x + y + P = 30

From statement II:

–x = y

x + y = 0

x + y + P = 30

10. 2; Using II alone

Cost to cover the room with carpet will be 300.

Quant Mix Quiz

1. The ratio of the no. of boys to the no. of girls in a school of 720 students is 3: 5.

If 18 new girls are admitted in the school, find how many new boys may be admitted so that the ratio of the no. of boys to the no.

of girls may change to 2 : 3.

A) 80

B) 50

C) 42

D) 35

E) None of these

2. The values of x in the equation 7(x+2p)^2 + 5p^2= 35xp + 117p^2 are

A) (4p, –3p)

B) (4p, 3p)

C) (–4p, 3p)

D) (–4p, –3p)

E) None of these.

3. What is the amount of compound interest and effective rate of interest if an amount of Rs.20000 is deposited in a bank -

for one year at the rate of 8% per annum compounded semi annually.

A) 1632, 8.16%

B) 1600, 9.36%

C) 1936, 10.36%

D) 1756, 9.56%

E) None of these.

4. 3 men can complete a piece of work in 6 days. Two days after they started the work,

3 more men joined them. How many days will they take to complete the remaining work?

A) 5 days

B) 2 days

C) 8 days

D) 12 days

E) None of these.

5. Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min.

First A and B are opened. After 7 minutes, C is opened. In how much time, the tank is full?

A) 45 minutes

B) 46 minutes

C) 52 minutes

D) 56 minutes

E) None of these.

6. Abhishek purchased 140 shirts and 250 trousers at the rate of Rs. 450 and Rs. 550 respectively.

What should be the overall average selling price of shirts and trousers so that 40% profit is earned? (Rounded off to next integer).

A) Rs.725

B) Rs.710

C) Rs. 720

D) Rs. 700

E) None of these

7. In a college the students in Arts and Commerce faculties were in the ratio of 4:5 respectively.
When 65 more students joined Commerce faculty the ratio became 8:11 respectively. How many students are there in Arts faculty?

A) 520

B) 650

C) 715

D) Cannot be determined

E) None of these

8. An amount of Rs. 10,000 becomes Rs. 14,641 in two years if the interest is compounded half yearly.

What is the rate of compound interest % per annum?

A) 10

B) 20

C) 16

D) 12

E) None of these.

9. Area of a rectangle is equal to the area of the circle whose radius is 21 cm.

If the length and the breadth of the rectangle are in the ratio of 14:11 respectively, what is its perimeter?

A) 142cm

B) 140cm

C) 132cm

D) 150 cm

E) None of these

10. Prashant purchased a TV set for Rs. 12,500 and spent Rs. 300 on transportation and Rs. 800 on installation.

At what price should he sell it so as to earn an overall proﬁt of 15%?

A) Rs. 14,560

B) Rs. 14,375

C) Rs. 15,640

D) Rs. 15,375

E) None of these.

11. Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds,

36 seconds and 48 seconds respectively. After how much time will they meet at one point?

A) 2 minutes, 20 seconds

B) 2 minutes, 24 seconds

C) 4 minutes, 12 seconds

D) 3 minutes, 36 seconds

E) None of these

12. A 240-metre long train running at the speed of 60 km/hour will take how much time to cross -
another 270 metre long train running in opposite directions at the speed of 48 km/hour?

A) 17 seconds

B) 3 seconds

C) 12 seconds

D) 8 seconds

E) None of these

13. Sarita started a boutique investing an amount of Rs. 50,000. Six months later Meeta joined her with an amount of Rs. 80,000.

At the end of one year they earned a profit of Rs. 18,000. What is Sarita's share in the profit?

A) Rs. 9,000

B) Rs. 8,000

C) Rs. 12,000

D) Rs 10,000

E) None of these

14. A alone can make 100 baskets in 6 days and B alone can make 100 baskets in 12 days.

In how many days can A and B together make 100 baskets?

A) 3 days

B) 5 days

C) 2 (1/2 ) days

D) 3(1/2) days

E) None of these

15. Samir’s age is one-fourth of his father’s age and two third of his sister Reema’s age.
What is the ratio of the ages of Samir, Reema and their father respectively?

A) 3:2:8

B) 3:4:8

C) 2:3:8

D) 4:3:8

E) None of these

Answers & Explanation:

1.(C) The ratio of the no. of boys to the no. of girls = 3 : 5
Sum of the ratios = 3 + 5 = 8
So, the no. of boys in the school = (3 × 720)/8 = 270
And the no. of girls in the school = (5 × 720)/8 = 450
Let the no. of new boys admitted be x, then the no. of boys become (270 + x).
After admitting 18 new girls, the no. of girls become 450 + 18 = 468
According to given description of the problem, (270 + x)/468 = 2/3
or, 3 (270 + x) = 2 x 468
or, 810 + 3x = 936 or, 3x = 126 or, x = 42.
Hence the no. of new boys admitted = 42.

2.(A) 7(x+2p)^2+5p^2= 35px+117 p^2
7x^2+33p^2+28px = 35px+ 117 p^2
x^2-px+12p^2 = 0
on solving x= 4p,-3p

3.(A) Interest = 20000[(1+4/100)^2-1]= 1632
Efeective rate of interst = 1632/20000*100= 8.16%

4.(B) Work done by 3 men in 2 days = (1/6x 2 )=1/3.
Remaining work = (1 – 1/3)= 2/3
Now 3 men's 1 day's work =1/6
1 man's 1 day's work = 1/18
6 men's 1 day's work = (6 x 1/18=1/3
Now, 1/3 work is done by them in 1 day.
2/3 work is done by them in (3 x2/3)= 2 days.

5.(B) Part filled in 7 min = 7[ 1/36 + 1/45] = 7/20
Remaining part = [ 1- 7/20] = 13/20
Net part filled in 1 min. When A,B and C are opened
= [ 1/36 + 1/45 + 1/30 ] = 1/60
Now, 1/60 part is filled in 1 min.
13/20 part is filled in [60x13/20] = 39 min
Total time taken to fill the tank = (39 + 7) min. = 46 min.

6. (C); CP of 140 shirts and 250 trousers
= Rs (140 * 450 + 250 * 550)
= Rs. (63000 + 137500) = Rs 200500
SP for 40% profit = Rs (140/100 ×200500)=280700
Average selling price = Rs (280700/(140+250) )=Rs.720

7. (A): Let the initial number of students in Arts and Commerce faculties be 4x and 5x respectively.
According to the question,
4x/(5x+65)=8/11
44x = 40x + 520
= x = 520/4 = 130
Number of students in Arts faculty = 4 * 130 = 520

8. (B) Time = 4 half years
Rate = R% per half year
A = P (1+R/100)^T
14641 = 10000 (1+R/100)^4
(1+R/100)^4 = 14641/10000= (11/10)^4
1+R/100=11/10 ? R/100=1/10
R =10%
Rate % per annum = 20%

9. (D); Area of rectangle = Area of circle
= 22/7 * 21 * 21 = 1386 sq.cm
Let the length and breadth of rectangle be 14x and 11x cm respectively. Then,
14x * 11x = 1386
x^2=1386/(14 ×11)=9
x = v9=3
Perimeter of rectangle = 2(14x + 11x)
= 50x = 50 * 3 = 150cm.

10.(C); Total cost of TV = Rs (12500 = 300 + 800) = Rs 13600
For a profit of 15%
Selling price = Rs. (115/100 ×13600)=Rs.15640

11. (B); required time = LCM of 24, 36 and 48 second = 144 sec. = 2 min 24 sec.

12. (A); Relative speed = (60 + 48) kmph = 108 kmph
= (108 ×5/18) m/sec = 30m/sec
Total distance = (240 + 270) metre = 510 metre
Time taken in crossing = (510/30) = 17 seconds

13. (D); Ratio of equivalent capitals of Sarita and Neeta for 1 month = 50000 * 12 : 80000 * 6
Sarita's share = Rs (5/9 ×18000) = Rs. 10000

14. (E) A's 1 day's work = 1/6
B's 1 day's work = 1/12
(A +B)'s 1 day's work = 1/6 + 1/12 = 2 + 1/12 = 1/4
A and B together will make 100 baskets in 4 days.

15. (C); Samir's age = x years
His father's age = 4x years
Reema's age = 3/2x years

Required ratio = x : 3x/2 : 4x = 2: 3 : 8

Quant Quiz

Directions (Q. 1-5): Each question below is followed by two statements A and B.

You have to decide whether the data given in the statements are sufficient for answering the questions.

Read both the statement and give answer :

1) If the statement A alone is sufficient to answer the question but the statement B alone is not sufficient.

2) If the statement B alone is sufficient to answer the question but the statement A alone is not sufficient.

3) If both statements A and B together are needed to answer the question.

4) If either the statement A alone or statement B alone is sufficient to answer the question.

5) If the data even in both statements A and B together are not sufficient to answer the question.

1. What is the profit earned by selling a pen for Rs. 120 ?

A) The cost price of 5 such pens is equal to selling price of 4 such pens.

B) 25% profit is earned by selling each pen.

2. What is the salary of C, in a group of A, B, C, D and E, whose average salary is Rs. 12000 ?

A) C's salary is 2.5 times B's salary.

B) Average salary of A and B is Rs. 4000.

3. What is the area of the circle ?

A) The breadth of a rectangle is 3/4th radius of circle.

B) The radius of the circle is equal to the side of a square of area 169 sq m.

4. What is the three digit number ?

A) 3/5 of a number is less by 90 of that number.

B) 1/4 of a number is 25% of that number.

5. What is the speed of the car ?

A) The car covers a distance 120 km in 4 hours.

B) The car covers a distance 210 km in 7 hours.

6. If 6x^2 + 5x + 1 < 0 then the value of x satisfies which inequality are ?

1) -1/2 < x < -1/3

2) x < -1/2 and x > -1/3

3) x ≥ -1/2

4) x ≤ 1/2

5) None of these

Directions (Q. 7-8): In each of these questions, two equations I and II with variable ‘x’ and ‘y’ are given.

You have to solve both the equations to find the value x and y and give answer:

1) If x < y

2) If x ≤ y

3) If x = y

4) If x ≥ y

5) If x > y

I. x^2 = 9

II. y^2 + 8y + 16 = 0

I. 4x^2 + 10x – 6 = 0

II. y^2 – 5y + 6 = 0

9. The radius of a copper sphere is 6 cm. The sphere is melted and drawn into a long wire of uniform circular cross section.

If the length of the wire is 72 cm, then the radius of wire is ?

1) 4 cm

2) 4.2 cm

3) 2 cm

4) 3 cm

5) None of these

10. The ratio of length of rhombus is 3 : 4. Then, the ratio of the area of the rhombus to the square of the shorter diagonal is?

1) 3 : 2

2) 3 : 8

3) 1 : 2

4) 4 : 3

5) None of these

ANSWERS:

1. 4

Using statements A

Profit % = (5 - 4)/4 * 100 = 25%

Cost price = 125 * 100/125 = Rs. 96

Profit = 120 – 96 = Rs. 24

Similarly, we can find profit by using statement B.

2. 5

From statement A salary of C = 2.5 B

From statement B, A + B = 2 × 4000 = Rs. 8000

3. 2

From statement B, radius of circle = sq. root (169) m = 13m

Required area = π r^2

= 22/7 * (13)^2

4. 1

From statement A, 3/5 * x = x - 90

2/5x = 90

From B, x/4 = x/4 we can't determine the value of x

5. 4

Since, speed of car = Distance covered by it/ Time taken by it

6. 1

5x^2 + 6x + 1 < 0

6x^2 + 3x + 2x + 1 < 0

(2x + 1) (3x + 1) < 0

(x + 1/2) (x + 1/3) <0

- 1/2 < x < -1/3

7. 5

From equation I:

x^2 = 9

x = +/-3

From II:

y^2 + 8y + (4)^2 = 0

(y + 4)^2 = 0

y = - 4

x > y

8. 1

I: 4x^2 + 12x - 2x - 6 = 0

4x (x + 3) - 2 (x + 3) = 0

(4x - 2) ( x + 3) = 0

x = -3 or 1/2

II:

y^2 - 5y + 6 = 0

(y -3)(y - 2) = 0

y = 3 or 2

y > x

9. 3

___r^2 * 72 = 4/3 π * (6)^3

r^2 = 4

r = 2 cm

10. 5

Area of rhombus = 1/2 * 3x * 4x = 6x^2

Square of the shorter diagonal = 3x^2 = 9x^2

Req. Ratio = 6x^2/9x^2 = 2/3

Data Interpretation

Directions (1-5): Study the following table carefully and answer the questions given below it:

Number of candidates from different locations appeared and passed in a competitive examination over the years

Year	Rural		Semi urban		State capitals		Metropolitan
Year	App.	Pass.	App.	Pass.	App.	Pass.	App.	Pass.
2001	2153	932	8139	2468	7164	3248	9695	6328
2002	4915	1658	9784	4015	8529	3628	12518	6038
2003	1652	208	9432	3528	11725	4526	9538	3214
2004	5628	2392	7894	2513	5054	1468	10158	4018
2005	1839	317	9969	4263	8258	3159	11247	5158
2006	5032	1798	8562	2933	9015	4311	13624	6419

Note: App. → Appeared, Pass. → Passed

Q1. In 2005, what was the average number of failed candidates from all locations ?

(a) 4436

(b) 4894

(d) 4604

(e) None of these

Q2. What percentage of candidates passed from semi-urban location in all the 6 years ?

(a) 41.94

(b) 36.67

(d) 33.67

(e) 38.24

Q3. The total number of failed candidates in 2004, 2005 and 2006 from state-capital location is what percent more/less than failed candidates in 2001, 2002 and 2003 from Rural location ?

(a) 126.09% more

(b) 93.07% more

(d) 112.35% more

(e) 22.32% more

Q4. In which year, percentage of failed candidates was least from metropolitan location ?

(a) 2004

(b) 2006

(d) 2005

(e) 2002

Q5. What is approximate ratio of passed candidates in 2003 from rural location to the percentage of passed candidates in 2006 from state-capital location ?

(a) 53 : 173

(b) 131 : 237

(d) 61 : 39

(e) 63 : 239

Directions (6-10): Read the following information carefully and answer the questions based on it :

In 6 years, number of students taking admission and leaving from five different schools are given below:–

School →	A		B		C		D		E
Years↓	Ad.	L	Ad.	L	Ad.	L	Ad.	L	Ad.	L
1994	1025	—	950	—	1100	—	1500	—	1450	—
1995	230	120	350	150	320	130	340	150	250	125
1996	190	110	225	115	300	150	300	160	280	130
1997	245	100	185	110	260	125	295	120	310	120
1998	280	150	200	90	240	140	320	125	340	110
1999	250	130	240	120	310	180	360	140	325	115

Note: Ad→ admitted,

L → Left

Q6. What is the average number of student studying in all the five schools in 1996 ?

(a) 1278

(b) 1494

(d) 1452

(e) None of these

Q7. What is the number of students studying in school D in 1998 ?

(a) 2200

(b) 2600

(d) 2250

(e) None of these

Q8. Number of students leaving school C from the year 1994-1999 is approximately what percentage of students taking admission in same school in same years ?

(a) 27.87 %

(b) 26.39 %

(d) 28.65 %

(e) 29.34 %

Q9. Number of students taking admission between years 1995-1999 in school D is approximately what percent more/less than student admitted in school B in same years ?

(a) 29.13% less

(b) 35.50% more

(d) 33.73% less

(e) 34.58% more

Q10. What is ratio of number of students in C in 1999 and number of students in E in 1998 ?

(a) 429 : 123

(b) 123 : 127

(d) 17 : 97

(e) None of these

Directions (11-15): What will come in place of the question mark (?) in the following question ?

(a) 143

(b) 72√7

(d) 70√7

(e) None of these

Q12. (4444÷40)+(645÷25)+(3991÷26)=?

(a) 280.4

(b) 290.4

(d) 285.4

(e) None of these

(a) 303.75

(b) 305.75

(d) 303 1/4

(e) None of these

(a) 256

(b) 4

(d) 16

(e) None of these

(a) 3

(b) 1

(d) 7

(e) None of these

Solutions

S7. Ans.(a)

Sol.

Number of students studying in school D in 1998 = 1500+640+615-430-125=2200

S8. Ans.(d)

Sol.

Required percentage = (725×100)/2530≈28.65%

S9. Ans.(e)

Sol.

Students taking admission in D = 340+300+295+320+360=1615

In B = =350+225+185+200+240=1200

Required answer = (1615-1200)/1200×100=34.58% more

S10. Ans.(c)

Sol.

No. of students in C = 2530 – 725 = 1805

No. of students in E = 2630 – 485 = 2145

Ratio = 1805 : 2145 = 361 : 429

S12. Ans.(b)

Sol.

111.1+25.8+153.5

= 290.4

KRISHNA MOHAN

Pages

Friday, 4 August 2017

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