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Directions : What approximate value will come in place of the question mark ? ,,
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? ≈ 29 + 9 – 12
⇒ ? ≈ 26
Directions : What approximate value will come in place of the question mark ? (You are not expected to calculate the exact value). ,,
6399 × + 353 ÷ ? = 12025
⇒ 6400 × + 353 ÷ ? ≈ 12025
⇒ 800 × 15 + 353 ÷ ? ≈ 12025
⇒ 12000 + 353 ÷ ? ≈ 12025
⇒ 353 ÷ ? ≈ 12025 – 12000
Directions: What approximate value will come in place of the question mark (?) in the following questions? ,,
67% of 801 – 231.17 = ? – 23% of 799
⇒ 536 – 231 ≈ ? – 184
⇒ 305 ≈ ? – 184
∴ ? ≈ 305 + 184 ≈ 489
∴ Required answer = 490
Directions: What should come in place of the question mark (?) in the following question?,,
1898 ÷ 73 × 72 = (?)2 × 13
80, 370, ?, 1550, 2440, 3530
Directions : What will come in place of the question mark (?) the following number series.,,
112 119 140 175 224 (?)
The pattern of the number series is:
112 + 1 × 7= 119
119 + 3 × 7 = 119 + 21 = 140
140 + 5 × 7 = 140 + 35 = 175
175 + 7 × 7 = 175 + 49 = 224
224 + 9 × 7 = 224 + 63 = 287
What will come in place of Question mark (?) in the following number series?,,
4, 8, 11, 22, 18, (?), 25, 50
What should come in place of the question mark (?) in the following question?,,
47, 51, 57, 65, (?) ,87
47+4, 51+6, 57+8, 65+10, (?) +12, 87
65 + 10 = 75
Directions: What will come in the place of question mark (?)?,,
43 69 58 84 73 (?)
The pattern is:
69 - 43 = 26
58 - 69 = - 11
84 - 58 = 26
73 – 84 = -11
∴ ? = 73 + 26 = 99
Rs.7800 are distributed among A, B and C. The share of A is 3/4 share of B and share of B is 2/3 of the share of C, then find the difference between share of B and C.
A : B = 3 : 4
B : C = 2 : 3
A : B : C
3 : 4 → 4
2 ← 2 : 3
6 : 8 : 12
A : B : C = 6 : 8 : 12
= 3 : 4 : 6
If (3 + 4 + 6) = 7800
13 = 7800
1 = 600
Difference between B and C = 2 = 2 × 600
= 1200
A and B entered into a partnership, investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A, withdrew Rs. 5000, while ‘B’ invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21,000. After a year, they obtained a profit of Rs. 26,400. By what amount does the share of B exceed the share of C?
The ratio between the ages of Faiza and Salu at present is 5: 2 respectively. Four years hence the ratio between the ages of the Salu and Monika will be 1: 2 respectively. What is the ratio between the present ages of the Faiza and the Monika respectively?
Let the present ages of Faiza and Salu be ‘5x’ and ‘2x’ years respectively.
After 4 years, Salu’s age = (2x + 4) years
According to question
After 4 years
⇒ Age of Monika =2 x (2x+ 4) = 4x+ 8 years
Present age of Monika = 4x + 8 - 4
= 4x + 4
Ratio between the present age of the Faiza and Monika = 5x: (4x + 4)
∴ We cannot find the exact value of ratio.
The perimeter of a square is equal to twice the perimeter of a rectangle of length 8 cm. and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square? (Rounded off to the two decimal places)
A and B can separately complete a piece of work in 20 days and 30 days respectively. They worked together for some time then B left the work. If A completed the rest of the work in 10 days, then B worked for how many days?
(A + B)’s 1 day work
A pot contains 81 liters of pure milk. 1/3 of the milk is replaced by the same amount of water. Again 1/3 of the mixture is replaced by that amount of water. The ratio of the milk and water in the new mixture is
From a well-shuffled pack of 52 playing cards, one card is drawn at random. What is the probability that the card drawn will be a black king?
Total possible outcomes = 52C1 = 52
Favourable outcomes = 2C1=2
∴ Required probability
= 252=126
A and B started a business with the investments in the ratio of 5:3 respectively. After 6 months from the start of the business, C Joined them and the respective ratio between the Investments of B and C was 2:3. If the annual profit earned by them was Rs. 12,300/-, what was the difference between B’s share and C’s share In the profit?
A : B = 5 : 3 = 10 : 6
B : C = 2 : 3 = 6 : 9
∴ A : B : C = 10 : 6 : 9
Ratio of the equivalent capitals of A, B and C for 1 year
= 10 × 12: 6 × 12: 9 × 6 = 20:12:9
Sum of the terms of ratio = 20 + 12 + 9 = 41
∴ Difference between the shares of B and C
After 5 years the age of a mother will be thrice the age of her son, whereas five years ago, she was 7 times as old as her son was. What are their present ages?
Let after 5 years, Mother’s and her sons age will be 3x years and x years respectively.
∴ their present ages are (3x – 5) years and (x – 5) years respectively.
5 years ago,
Mother’s age = (3x - 5) - 5
= (3x – 10) years
and Son’s age = (x- 5) - 5
= (x - 10) years
According to the question
3x – 10 = 7(x – 10)
⇒ 3x – 10 = 7x – 70
⇒ 7x – 3x = 70 – 10
⇒ 4x = 60
⇒ x =15
∴ Present age of Mother
= 3x – 5 = 3 × 15 - 5
= 45 – 5 = 40 years
and present age of son
= x – 5 = 15 – 5 = 10 years.
A man travels the first part of his journey at 20 km/h and the next at 70 km/h, covering the entire journey at an average speed of 50 km/h. What is the ratio of the distance that he covered at 20 km/h to that he covered at 70 km/h?
By alligation rule
A sells a good to B at a profit of 20% and B sells it to C at a profit of 25%. If C pays Rs. 225 for it, what was the cost price for A?
A goods train and a passenger train are running on parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and crossed is train completely in 60 seconds. Whereas a passenger on the passenger train marks that he crossed the goods train in 40 seconds. If the speed of the trains be in the ratio of 1: 2, find the ratio of their lengths.
(Both travelling in same direction)
Relative Speed = S1 - S2
S1 - S2 = (d1 + d2) / 60
S1 - S2 = d1 / 40
Divide both you get d2 / d1 = 1:2
Therefore d1/d2 = 2:1
Two buses start at the same time from two bus stations and proceed towards each other at the rate of 20 km/hr. and 25 km/hr. respectively. When they meet one bus may have traveled 80 km more than the other. Find the distance between the two bus stations.
D1 = 20 x T1
D2 = 25 x T2
D2 - D1 = 80 kms
both travel at the same time
25T1 - 20T1 = 80
5T1 = 80
T1= 80/5 = l6 hrs.
D2 = 25 x 16 = 400 km
D1 = 320 km
Total distance = 400 + 320 = 720 km
Vishwas borrowed a total amount of Rs. 30,000, a part of it on simple interest rate of 12 % p.a. and remaining on simple interest rate of 10 %p.a. If at the end of 2 years he paid in all Rs. 36,480 to settle the loan amount, what was the amount borrowed at 12%p.a.?
Akash scored 73 marks in subject A. He scored 56% marks in subject B and X marks in subject C. Maximum marks in each subject were 150. The overall percentage marks obtained by Akash in all the three subjects together was 54%. How many marks did he score in subject C?
Maximum marks of each subject A, B and C are 150.
∴ Total maximum marks = 150 + 150 + 150
= 450
Akash got 54 % of 450 marks
= 243 marks
Score of subject A = 73
Score of Subject B= 56 % of 150
= 84
∴ Score of subject C = 243 – (73 + 84)
= 86.
Directions: Study the following table carefully to answer the questions that follow:
Number of flights cancelled by five different airlines in six different years,
Que. What was the difference between the highest number of flights cancelled by airlines-Q and the lowest number of flights cancelled by airlines-T out of all the six years?
Required difference= 680 – 258 = 422
Que. What was the approximate percent increase in number of flights cancelled by airlines S in the year 2008 as compared to previous year ?
Que. What was the average number of flights cancelled by the airlines P, R, S and T in the year 2008 ?
,
Que. If 40 per cent of flights in the year 2010 by airlines-R were cancelled due to bad weather conditions and rest were cancelled due to technical fault. What was the number of flights cancelled due to technical fault ?
Number of flight cancelled by airlines-R due to technical fault in 2010 =
Que. Number of flights cancelled by airlines-P and R together in the year 2007 was approximately. What percentage of number of flights cancelled by airlines-S in the year 2005 ?
Required percentage
Direction: What value will come in place of question mark (?)?,,
76% of 1285 = 35% of 1256 + ?
Direction : What should come in place of the question mark (?) in the following question?,,
45% of 240 + ? % of 360 = 234
Directions : What should come in place of the question mark (?) in the following question?,,
√? = (28 × 24) + 14
√? = 672 + 14 = 686
Squaring both sides
?= 470596
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