1. Rs 675 amount to Rs 837 in four years at simple interest . If the interest rate is decreased by 2 % then amount will be
a 729 b 753 c 763 d 783
Ans :
S I for four years 837-675= 162
Actual interest rate is 6 % if 2 % is decreased ie 4 %
Then amount is 783/-
Answer d 783
2 What least number which must be added to 1056 so that the sum is completely divisible by 23?
a 3 b 18 c 2 d 21
Ans :
23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21) = 2.
Answer c 2
3 In a school with 600 students , the average age of the boys is 12 years and that of girls is 11 years . if the average age of the school is 11 years and 9 months then the number of girls in the school is
a 450 b 250 c 150 d 350
Ans :
Let the number of Girls be X Then number of boys = (600-x)
(11 4/3 * 600 )= 11 x 12 (600-x)
X=7200-7050 =150
Answer c 150
4 Ram bought a cycle and sold it for Rs 4550 which is 30 % more than this original price . What is the original price of the cycle
a 3500/- b 3800/- c 3600/= d 3400/-
Ans :
Let cost price (C.P.) = 100.
Profit = 30 %.
Selling price (S.P.) = (100 + 30) = 130.
If selling price (S.P.) is 130, then cost price (C.P.) is 100.
If selling price (S.P.) is 1, then cost price (C.P.) is $ (100/130).
If selling price (S.P.) is 4550, then cost price (C.P.) is (100 /130 × 4550) = 3500
Answer A 3500/-
5 Rahim sales a cow at a loss of 15 % . if he has sold it for Rs 150 more than he would have made a profit of 10 % . Cost price of the cow was
a 660 b 600 c 575 d None of these
Answer a 414180
8 Salaries of Akash , Babloo and chintu are in the ratio of 2:3:5 . If their salaries were increased by 15 % , 10 % and 20 % respectively What will be the new ratio of their salaries
a 3:3:10 B 23:33:60 C 20:22:40 D None of these
Ans :
Let Akash = 2 Babloo = 3 and Chintu = 5
Then 100/115=2 = 23/10
100/110=3 = 33/10
120/100=5= 6
Then new ratio is 23/10 :33/10: 6 = 23:33:60
Answer b 23:33:60
9 A man earns Rs 20 on the first day and spends Rs 15 on the next day . He again earns rs 20 on the third day and spends rs 15 on the fourth day . if he continues to save like how soon will have Rs 60 in hand
a on 30 the day b On 40th Day c On 27th Day D On 17th day
Explanation:
Answer d 17th Day
10 Ajay can do a piece of work in 25 days and Sanjay can finish it in 20 days . They work together for 5 days and Ajay goes away . In how many days will Sanjay finish the remaining work
a 11 days b 12 days c 14 days d None of these
Answer 50
19 Two cars start from the same point at 8 am . In the same direction . The speed of the first car is 60 km/h and the speed of second car is 55 km/h . The distance between them at 2 p. m on the same day is
a 20 km b 25 km c 28 km d 30 km
a 729 b 753 c 763 d 783
Ans :
S I for four years 837-675= 162
Actual interest rate is 6 % if 2 % is decreased ie 4 %
Then amount is 783/-
Answer d 783
2 What least number which must be added to 1056 so that the sum is completely divisible by 23?
a 3 b 18 c 2 d 21
Ans :
23) 1056 (45
92
---
136
115
---
21
---
Required number = (23 - 21) = 2.
Answer c 2
3 In a school with 600 students , the average age of the boys is 12 years and that of girls is 11 years . if the average age of the school is 11 years and 9 months then the number of girls in the school is
a 450 b 250 c 150 d 350
Ans :
Let the number of Girls be X Then number of boys = (600-x)
(11 4/3 * 600 )= 11 x 12 (600-x)
X=7200-7050 =150
Answer c 150
4 Ram bought a cycle and sold it for Rs 4550 which is 30 % more than this original price . What is the original price of the cycle
a 3500/- b 3800/- c 3600/= d 3400/-
Ans :
Let cost price (C.P.) = 100.
Profit = 30 %.
Selling price (S.P.) = (100 + 30) = 130.
If selling price (S.P.) is 130, then cost price (C.P.) is 100.
If selling price (S.P.) is 1, then cost price (C.P.) is $ (100/130).
If selling price (S.P.) is 4550, then cost price (C.P.) is (100 /130 × 4550) = 3500
Answer A 3500/-
5 Rahim sales a cow at a loss of 15 % . if he has sold it for Rs 150 more than he would have made a profit of 10 % . Cost price of the cow was
a 660 b 600 c 575 d None of these
Ans :
Let cost price be P
Sold price =85 % of P
85/100*P+150=110/100*P
25/100*P =150
25P=15000
P=15000/25= 600
Answer 600
6 There are some parrots and some tigers in a forest . if the total number of animal heads in the forest are 858 and total number of animal legs are 1746 . What is the number of parrots in the forest
a 843 b 847 c 800 d None of these
Ans :
Let the no of parrots is assumed as X
Total number of animals = 858
Total tigers = 858-x
Total legs = 2x=4(858-x)=1746
=2x+3432-4x=1746
2x=3432-1746=1686
X=1686/2=843
Answer a 843
7 LCM of 36 , 45,52, 108 and 236 is a
a 414180 b 480414 c 441180 d none of these
Ans :
36 = 2*2*3*3*
45 = 3*3*5
52 = 2*2*13
108 = 2*2*3*3*3*
236 = 2*2*59
Therefore, L.C.M of 36, 45, 52, 108, 236 = 2*2*3*3*3*5*13*59 = 414180
Let cost price be P
Sold price =85 % of P
85/100*P+150=110/100*P
25/100*P =150
25P=15000
P=15000/25= 600
Answer 600
6 There are some parrots and some tigers in a forest . if the total number of animal heads in the forest are 858 and total number of animal legs are 1746 . What is the number of parrots in the forest
a 843 b 847 c 800 d None of these
Ans :
Let the no of parrots is assumed as X
Total number of animals = 858
Total tigers = 858-x
Total legs = 2x=4(858-x)=1746
=2x+3432-4x=1746
2x=3432-1746=1686
X=1686/2=843
Answer a 843
7 LCM of 36 , 45,52, 108 and 236 is a
a 414180 b 480414 c 441180 d none of these
Ans :
36 = 2*2*3*3*
45 = 3*3*5
52 = 2*2*13
108 = 2*2*3*3*3*
236 = 2*2*59
Therefore, L.C.M of 36, 45, 52, 108, 236 = 2*2*3*3*3*5*13*59 = 414180
Answer a 414180
8 Salaries of Akash , Babloo and chintu are in the ratio of 2:3:5 . If their salaries were increased by 15 % , 10 % and 20 % respectively What will be the new ratio of their salaries
a 3:3:10 B 23:33:60 C 20:22:40 D None of these
Ans :
Let Akash = 2 Babloo = 3 and Chintu = 5
Then 100/115=2 = 23/10
100/110=3 = 33/10
120/100=5= 6
Then new ratio is 23/10 :33/10: 6 = 23:33:60
Answer b 23:33:60
9 A man earns Rs 20 on the first day and spends Rs 15 on the next day . He again earns rs 20 on the third day and spends rs 15 on the fourth day . if he continues to save like how soon will have Rs 60 in hand
a on 30 the day b On 40th Day c On 27th Day D On 17th day
Explanation:
Money earned in 2 days = Rs.(20 - 15) = Rs. 15.
Money earned in 16 days = Rs.(5/2 x 16) ‹=›Rs. 40.
On 17th day, money in hand = Rs.(40 + 20 ) = Rs. 60.
Money earned in 16 days = Rs.(5/2 x 16) ‹=›Rs. 40.
On 17th day, money in hand = Rs.(40 + 20 ) = Rs. 60.
Answer d 17th Day
10 Ajay can do a piece of work in 25 days and Sanjay can finish it in 20 days . They work together for 5 days and Ajay goes away . In how many days will Sanjay finish the remaining work
a 11 days b 12 days c 14 days d None of these
Ans :
1 days work of Ajay =1/25
Sanjay = 1/20
So (Ajay+Sanjay)= 1/25+1/20=9/100
5 days work of Ajaya and Sajay=45/100
Remaining work = 1-45/100=55/100
Sajay can do 55/100 work in 55/100/1/20 = 11 Days
Answer a 11 Days
11 The decimal representation of a rational number is
1 days work of Ajay =1/25
Sanjay = 1/20
So (Ajay+Sanjay)= 1/25+1/20=9/100
5 days work of Ajaya and Sajay=45/100
Remaining work = 1-45/100=55/100
Sajay can do 55/100 work in 55/100/1/20 = 11 Days
Answer a 11 Days
11 The decimal representation of a rational number is
a Always terminating b Either terminating or repeating c Either terminating or non repeating
Answer b
12 A hemispherical bowl of internal radius 9 cm contains a liquid , The liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm . How many bottles will be needed to empty the bowl
a 45 b 54 c 35 d 48
Ans :
Radius of hemisphere= 9 cm
volume of hemisphere= 2/3 π r3 = 2/3 x9x9x9 π = 486 π
radius of cylindrical shaped bottles= 3/2 cm
height= 4 cm
volume of bottles= π r2h
= 3/2x 3/2 x 4 π
=9 π
now,
Reaquired no. of bottles= volume of hemisphere/ volume of bottles
. =486 π/9π
. =54
Hence, no. of bottles required to empty the bowl = 54
Answer b 54
13 If the numerator of a fraction is increased by 200 % and the denominator is increased by 300 % the resultant fraction is 6/11 . What was the original fraction .
a 5/11 b 7/11 . c 8/13 d 8/11
Ans :
If numerator increase 200 % then Numerator will be x+2x =3x
and denominator increased by 300% means denominator will be y = 3y =4y
new fraction will be 3x/4y =6/66 (g3x/4y = 6/11dividing numerator by 3 and denominator by 4 both side we will get
x/y =6/3/11/4
x/y=6x4/11x3
x/y =24/33
x/y =8/11
Answer d 8/11
14 If the ratio of areas of two squares is 9:1 the ratio of perimeter is
a 3:1 b 1:2 c 3:2 d None of these
15 40 Laourers can handle a task of debri clearance in 7 days . if 5 % of the labourers leave after 2 days . What is the total number of days the task will take
a 5 5/19 b 5 ½ c 5 7/8 d 5 8/19
16 If eggs are bought at 10 for Rs 8 and sold at 4 for Rs 5 the business result in
a 50 % loss b 56 1/3 % gain c 51 % gain d 56 ¼ % gain
Answer 56 ¼ % gain
17 A fruit seller buys lemons at 2 for a rupees. His gain percent is
a 10 % b 15 % c 20 % d 25 %
Answer 20 %
18 A car is moving with a speed of 36 km/h . How much time in seconds it will take to cross a 500 m long bridge .
a 40 b 45 c 50 d 55
Ans :
Speed 36 KM/H
= 36*5/18 M/S
=10 M/S
So time taken to cross 500m bridge = 500/10 = 50 Second
Answer b
12 A hemispherical bowl of internal radius 9 cm contains a liquid , The liquid is to be filled into cylindrical shaped small bottles of diameter 3 cm and height 4 cm . How many bottles will be needed to empty the bowl
a 45 b 54 c 35 d 48
Ans :
Radius of hemisphere= 9 cm
volume of hemisphere= 2/3 π r3 = 2/3 x9x9x9 π = 486 π
radius of cylindrical shaped bottles= 3/2 cm
height= 4 cm
volume of bottles= π r2h
= 3/2x 3/2 x 4 π
=9 π
now,
Reaquired no. of bottles= volume of hemisphere/ volume of bottles
. =486 π/9π
. =54
Hence, no. of bottles required to empty the bowl = 54
Answer b 54
13 If the numerator of a fraction is increased by 200 % and the denominator is increased by 300 % the resultant fraction is 6/11 . What was the original fraction .
a 5/11 b 7/11 . c 8/13 d 8/11
Ans :
If numerator increase 200 % then Numerator will be x+2x =3x
and denominator increased by 300% means denominator will be y = 3y =4y
new fraction will be 3x/4y =6/66 (g3x/4y = 6/11dividing numerator by 3 and denominator by 4 both side we will get
x/y =6/3/11/4
x/y=6x4/11x3
x/y =24/33
x/y =8/11
Answer d 8/11
14 If the ratio of areas of two squares is 9:1 the ratio of perimeter is
a 3:1 b 1:2 c 3:2 d None of these
15 40 Laourers can handle a task of debri clearance in 7 days . if 5 % of the labourers leave after 2 days . What is the total number of days the task will take
a 5 5/19 b 5 ½ c 5 7/8 d 5 8/19
16 If eggs are bought at 10 for Rs 8 and sold at 4 for Rs 5 the business result in
a 50 % loss b 56 1/3 % gain c 51 % gain d 56 ¼ % gain
Answer 56 ¼ % gain
17 A fruit seller buys lemons at 2 for a rupees. His gain percent is
a 10 % b 15 % c 20 % d 25 %
Answer 20 %
18 A car is moving with a speed of 36 km/h . How much time in seconds it will take to cross a 500 m long bridge .
a 40 b 45 c 50 d 55
Ans :
Speed 36 KM/H
= 36*5/18 M/S
=10 M/S
So time taken to cross 500m bridge = 500/10 = 50 Second
Answer 50
19 Two cars start from the same point at 8 am . In the same direction . The speed of the first car is 60 km/h and the speed of second car is 55 km/h . The distance between them at 2 p. m on the same day is
a 20 km b 25 km c 28 km d 30 km
Ans :
Time duration 14-8 = 6 Hrs 2 PM ( 14 hrs)
distance by first car 6*60 360 KM
Distance by IInd car = 6*55 =330 KM
So distance between two car 30 KM
Answer 30 KM
20 The distance between two cities A and B is 520 km . One car starts from city A towards city B with the speed of 60 km/h. At the same time another car starts from city B towards city A with a speed of 70 km/h . After how many hours they will cross each other
a 3 hours b 4 Hours d 5 hours d 6 hours
Ans :
Let distance travelled by A= X
Distance travelled by B= (520-X)
X/60=520-x/70
70X=(520-X)60
70X=520*60-60X
130X=520*60
X=240
ie Time =240/60= 4 Hrs
Answer 4 Hrs
21 A car towards 50 km in first hour , 60 Km in second hour and 43 km in third hour . The average speed of the car is
a 43 KM/h b 50 KM/h c 51 KM/h 55 KM/h
Ans :
Time duration 14-8 = 6 Hrs 2 PM ( 14 hrs)
distance by first car 6*60 360 KM
Distance by IInd car = 6*55 =330 KM
So distance between two car 30 KM
Answer 30 KM
20 The distance between two cities A and B is 520 km . One car starts from city A towards city B with the speed of 60 km/h. At the same time another car starts from city B towards city A with a speed of 70 km/h . After how many hours they will cross each other
a 3 hours b 4 Hours d 5 hours d 6 hours
Ans :
Let distance travelled by A= X
Distance travelled by B= (520-X)
X/60=520-x/70
70X=(520-X)60
70X=520*60-60X
130X=520*60
X=240
ie Time =240/60= 4 Hrs
Answer 4 Hrs
21 A car towards 50 km in first hour , 60 Km in second hour and 43 km in third hour . The average speed of the car is
a 43 KM/h b 50 KM/h c 51 KM/h 55 KM/h
Ans :
153/3 =51
Answer 51 KM/h
22 A car travels a distance of 150 km in 3 hours and next 242 km in 4 hours . The average speed of car for complete journey
a 50 km/h b 55.25 km/h c 56 km/h d 58 km/h
Answer 56 KM/ h
23 If the diagonals of a rhombus are of measure 12 cm and 16 cm . then this measure of its side is
a 10 cm b 20 cm c 15 cm d 96 cm
Answer 51 KM/h
22 A car travels a distance of 150 km in 3 hours and next 242 km in 4 hours . The average speed of car for complete journey
a 50 km/h b 55.25 km/h c 56 km/h d 58 km/h
Answer 56 KM/ h
23 If the diagonals of a rhombus are of measure 12 cm and 16 cm . then this measure of its side is
a 10 cm b 20 cm c 15 cm d 96 cm
Ans :
12/2 cm = 6 cm and 16/2 cm = 8 cm long.
Answer a 10 cm
24 A watch was sold at a profit of 15 % . If its cost had been 5 % less and it had been sold for Rs 21 less , then the profit would have been 10 % . Find the cost price of the watch
a 200 b 400 c 190 d None of these
Answer 200
25 60 % of the students in a school are boys . if the number of girls in the school is 300. Then the number of boys is
a 500 b 300 c 450 d 750
Ans :
If 60% are boys, then 40% must make up the girls.
Let x = total number of students
then
.40x = 300
x = 300/.40= 7.5*100=750
750-300=450
Total no of boys 450
Answer c 450
12/2 cm = 6 cm and 16/2 cm = 8 cm long.
Answer a 10 cm
24 A watch was sold at a profit of 15 % . If its cost had been 5 % less and it had been sold for Rs 21 less , then the profit would have been 10 % . Find the cost price of the watch
a 200 b 400 c 190 d None of these
Answer 200
25 60 % of the students in a school are boys . if the number of girls in the school is 300. Then the number of boys is
a 500 b 300 c 450 d 750
Ans :
If 60% are boys, then 40% must make up the girls.
Let x = total number of students
then
.40x = 300
x = 300/.40= 7.5*100=750
750-300=450
Total no of boys 450
Answer c 450
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