QUANT TEST PAPER 1
Directions for question 1 to 50. Choose the correct alternative.
1.If an article cost 50% of its selling price there was a profit of Rs60. What was the selling price?
125 120 140 200
2.A can do a piece of work in 10 days which can be done by B in 12 days. How long would it take to do the work together?
4 7/9 5 3/9 5 5/11 5 ½
3.The denominator of a fraction is greater than its numerator by 5 but if 7 were added to the denominator the value of the fraction would then become 1/4^{th} . What is the fraction?
4/9 2/3 5/11 4/7
4.The sum of all 2 digit numbers which can be formed from 4 & 5 ?
45 99 100 101
5.Find the number whose double is greater than its half by 30.
20 30 25 23
6.A divided Rs. 200 amongst 15 children giving some Rs. 20 and remaining Rs.10.How many children receive Rs. 20?
7 12 10 5
7.If 3 apples are worth 2 bananas, how many bananas are 15 apples worth?
15 8 10 12
8.A buys an item for Rs. 600 of which 12% is excise and 4% is sales tax . How much would A pay exclusive of taxes and excise?
519.82 521.33 517.24 518.00
9.X has Rs. 6 with him. If 2/3 of what X has is ¼ of what Y has. How much does Y have?
8 16 12 14
10.The sum of a number and its reciprocal is ½ . The sum of their squares is,
9/4 4/5 5/3 7/4
11.X,Y,and Z take 20, 30 and 60 days respectively to complete a job independently. They set out to complete a job together . However Y leaves after 4 days and Z leaves after another 6 days . How many more days will it take for X alone to complete the job now?
4 3 5 6
12.A rectangular block of dimensions 5*6*7 cm. Is dropped into a cylindrical vesssed of radius 6 cm. And height 10 cm.. If the level of fluid in the cylinder rises by 4 cm. , what portion of the block is immersed in the fluid?
22/7*15/18 22/7*24/35 22/7*22/34 22/7*12/15
13.The difference between a number and its square is 870. What is the number?
42 29 30 32
14.In an election , 60% of the voters exercised the franchise. Of these, 40% were women. The number of males exercising their franchise was 53040. How many eligible voters were there in all?
125000 150000 230000 153000
15.If the side of a square is increased by 3 cm., the area increases by 33 cm. The side of the square is
5.5 6 2 4
16.A sum of RS. 88000 is to be divided among A, B, and C such that for every rupee, A gets, B gets 75 paise and for every rupee, B gets , C gets 90 paise . How much is C’s share?
28345 28563 29887 30500
17.A family uses a mixture of a blend of 2 coffees costing Rs. 30 and Rs. 60 respectively.If the family uses only the expensive variety, it will have to spend Rs.450 more. The annual consumption of coffee of the family is 20Kgs. In what ratio are the two blends being used?
3:1 2:3 4:5 2:1
18.A buys a washing machine costing Rs.6000 on instalment basis. He pays Rs. 3000 cash at the time of delivery and subsequently 2 monthly instalments of Rs. 1575 each. The rate of interest charged p.a. is
39% 32% 28% 30%
19.If 4[2.8{3.5(1X)}]=5, Then value of X is
2.3 1.5 1.3 2.5
20.A salesman earns a commission
of 3% on the value of sale that he makes. If by selling a radio at
60 % of the marked prices, he earns a commission of Rs. 12, then the
marked price of the radio is?
667
700
655
680
21.P, Q, and R enter into a Partnership
and their shares are in proportion of 3:2:1.
P withdraws half his capital at the end of 4 months and after 8 months
more the profit of Rs. 1800 is divided. What is P’s share
570
660
720
700
22.A sum of Rs. 8.25 is made
up of 100 coins which are either 10 paise or 5 paise. How many are
there of 10 paise?
65
35
40
55
23.A trader has 100 Kg of wheat,
part of which he sells at 5% profit and the rest at 20% profit. He
gains 15% on the whole. Find how much is sold at 5% profit?
60
50
66.6
33.3
24.If x*y*z = (x^{2}
+y^{2})^{z},
then value of 4*3*2 is
650
675
550
625
25.If the side of a square is
increased by 8cm, the area increases by 64cm^{2}. What is
the side of the square?
1.3 &nb
sp;
1.5
1
2
26.Ashish travels a distance
of 100 km in the following manner, at 20 kmph for the 1^{st}
50 kms, at 25 kmph for the next 50 kms. He returns at a constant speed
of 25kmph. What was his average speed for the journey?
22.50
23.52
24.60
22.35
27.A purchases a car at a discount
of 20% from a wholesaler and sells it at a profit of 20% for Rs.1800.
How much discount did he get from the wholesaler?
60 &nb
sp;
85
70
75
27.A radio can be brought for
Rs.2000 cash or for Rs.2200 on 5 months credit. Find the interest
rate p.a. Consider simple interest.
24
22
32
25
29.If 20kg of rice cost Rs.200
less than 80 kgs of wheat. If a kg mixture of rice and wheat is in
the proportion 2:3 and cost Rs.15, Find per kg cost of rice in Rs.
15
20
10
None of these.
30.X is 25% more efficient than
Y and his hourly wages are 25% more. If X is paid Rs.75, how much
will Y receive for the same work?
65
90
75
110
31.Ashish spends 10% of his pocket
money on himself and gives his sister Rs.5. If he still has 80% of
the original sum, what was the amount he had as pocket money?
13
14
15
16
32.A owes B a sum of Rs.5000
to be paid 6 months from today. If simple interest @12% p.a. is calculated,
what sum shall A have to pay B, 4 months from now in full discharge
of the debt?
4726
4824
4900
4906
33.The difference of 2 positive
numbers is 81 and quotient obtained on dividing the one by the other
is 9. Find the first number.
75
90
10
80
34.Anand goes to a shop to buy
the walkman costing Rs.2250. The rate of sales tax is 6% he wants
the dealer to reduce the price so that he has to pay Rs.2000 inclusive
of tax. Find the reduction needed in the percent of the walkman.
15
16
17
18
35.P,Q, R enter a partnership where they invest Rs. 20000, Rs. 30000, Rs. 40000 resp. P withdraws Rs. 10000 after 2 months, Q withdraws Rs. 15000 after 4 months and R withdraws Rs. 25000 after 8 months. What will be R’s share in the profit of Rs. 12474? 3564 3267 5643 5500
36.A company declares a dividend
of 15% on Rs.150 shares. A man buys such shares and gets 10% on his
investment. Find at what price he bought the shares?
255
356
225
240
37.If x sells for Rs.20 each,
250 Rs.10 share in a company which pays a dividend of 10% and then
invests the proceeds of this sale in the purchase of Rs.5 shares in
another company at Rs.4 each, find what difference is made in his
income if the company pays a dividend of 4%?
50
66
105
None of these.
38.¼ of one number + 2/3 of
another = 3/8 of their sum. Find the ratio of their numbers.
4:3
2:5
3:7
2:1
39.At how many distinct points
do the diagonals of a square intersect if no 2 diagonals pass through
the same point?
4
1
2
3
40.X buys an apple from Y for
Rs.5 and sells it to Z for Rs.10. He later buys the apple back from
Z for Rs.12 and sells it to Y for Rs.15. What is his profit over the
venture?
8
6
12
10
41.I have a rectangular piece
of cloth 16 meters long & 1 1/4 metre broad. Iwant to cut
as many large square pieces of the same size as possible. How many
such pieces can I cut out of it ?
320
240
360
325
42.The sum of two natural numbers
is 85 and their L . C .M is 102. Find the numbers
51 & 34
25&63
40&25
43.A man XY of height 1.75 cm
stands at a distance of 4 metres from a pillar AB. If the pillar
l is at the height of 5.25 m from the ground, what is the length of
the man's shadow on the ground ?
1m
2m
5m
6m
44.triangles x & y have
the same area. If the bases are in the ratio 2 : 3, what is the ratio
of their heights ?
3:2
2:3
3:4
5:6
45.A ground of 4.9 m width is
prepared on the inside of a circular area of diameter 10 m. Find the
cost of levelling the garden at Rs. 10 per sqm.
789.25
653.43
775.54
650.33
46.Three circloes touch each
other externally. If xy = 15 ,yz = 10, xz = 21 Find the radius of
each circle.
13 ,8 ,2
14 , 5 ,9
10 ,13 ,12
5 ,6 ,3
47.If the diameter of a circle
is increased by 100 %, find the % increase in the area.
200
300
100
250
48.A spherical ball of 8 cm diameter
is melted into a cone with base 20 cm in diameter. Find its height.
2.56cm
3 cm
2 cm
3.75 cm
49.Water flows out at the rate of 10m per minute,
from a cylindrical pipe of diameter 5
mm. Find the time taken to fill a conical tank whose diameter at the surface is 40 cm and
depth 24cm.
53 1/2 min
51 1/5 min 57 1/5 min 60 min
50.Find the S.I. for Rs.2500 for 73 days at 6 %
p.a.
Rs.30
2]Rs.50
Rs.40
Rs.20
Explanation to Paper I

1.Let the
selling price be S. 2.In one day
A can do 1/10 work 3.Let the
fraction be a/b 4.sum =
45+54 = 99 5.Let the
number be x 6.
20x+10y = 200 I 7. 2 15*2/3 = 10 Bananas 8.cost
exclusive of excise and tax = x
excise = 0.12 9.x has Rs.
6 10.x+1/x = ½ 11.x will
complete 1/20 in one day. 12.volume
increase in cylinder=(volume of block *portion of it which is immersed) p = 22/7*24/35 13.Let the
number be x. 14.Let the
no. of eligible voters = x 15.Let side
of the square be x. 16.A:B is
10:7.5 17.Expensive
brand cost = 20*60=1200 18.Instalments
paid = 1575+1575 = 315 19.42.8+3.51+x=5 20.Let the
marked price be 100. 100*12/1.8=666.67 20. 3:2:1 21. By alligation rule:
&nb sp; 825/100 13 &nb sp; &nb sp; 7 10 paise
= 100/20*13 22. By alligation rule: &nb sp; 15
5 &nbs
p;
10 23. (16+9)^{2} = 25^{2} = 625 24.Let side be x. 25.Total time
taken = 2.5+2+4=8.5 hour 26. 120
1800 27. 200/2000*12/5*100 = 24% p.a. 28.Let cost
of rice be Rs.x per kg.
29.Let wages
of y =a, then x=1.25a 30.Let his
pocket money be x.
31.Principal
amount = x 5000 = x+3x/50 32.Let the 2
no.s x and y. 33.2250*6% =
135 34.P
Q R 1*12+1*10 1.5*4+1.5*12
2.5*8+1.5*12 35.Dividend =
150*15% = 22.50 36.250 Rs.10 shares = Rs.2500
37.Let
numbers be x and y. 39. The diagonals of a square intersect at 1 point if no 2 diagonals pass through the same point 40. cost
price for x = 5 41. The H
.C .F of 1600 and 125 is 25. 42. Let
the numbers be H _{p}H _{q} Where H is their H. C. F. and p 43.
Triangle SAB is similar to triangle SFL 44. A (
triangle x) / A (triangle y) = b _{1}h _{1} b _{2}h
_{2}</sub>
45. Area
of the ground 46. r_{1}
+ r _{2}= 15 47. When
Diameter increased by 100 % 48.
Volume of cone = volume of sphere 49 .
Volume of water flowing out in 1 minute. 50. S.I =
2500 * 73 / 365 * 6 / 100 