Olete.in – MCQs, Mock Tests & Government Job Prep | Mathematics Math MCQ Question and answer

A man can row 4.5 km an hour in still water but takes twice as long to row up a stream as down it. What is the rate of stream in km/h

1. 1.5
2. 2.25
3. 3
4. 3.75

✅ Correct Answer: 1

If a man takes two hours to row 3 km upstream or 15 km downstream then the speed of current is:

1. 1
2. 2
3. 3
4. 4

✅ Correct Answer: 3

A man can row 1 km upstream in 20 minutes and downstream in 15 minutes. What is the speed of the current?

1. 1 km/h
2. 2 km/h
3. 1/2 km/h
4. 1/4 km/h

✅ Correct Answer: 3

A man rows 1 km upstream in 20 minutes and 1 km downstream in 15 minutes. What is his speed of rowing in still water?

1. 2.5
2. 3
3. 3.5
4. 4

✅ Correct Answer: 3

A man rowing a boat covers an average distance of 7.5 km/hr. What is the distance covered after 40 minutes:

1. 5
2. 10
3. 20
4. 15

✅ Correct Answer: 1

A man can row down a 10 mile stream in 2 hours and up in 5 hours. What is the average speed in miles per hour?

1. 1 3?7
2. 3 1?2
3. 2 6?7
4. 3

✅ Correct Answer: 3

A man travel in his yacht downstream at d knots and returns the same distance upstream at u knots. What is his average rate for the round trip if the length of stream is 1:

1. du/21
2. dtu/21
3. Idu/(d+2)
4. 2du/(d+u)

✅ Correct Answer: 4

Imran speed of rowing in still water is 9 km/h and he finds that it takes him twice as long to row up as to row down the river. Find the speed of water in the river.

1. 3
2. 3 km/h
3. 1 km/h
4. 1

✅ Correct Answer: 2

Speed of water in certain river is 2 km/h and it takes a boat thrice as long to row up as to row down the river. Find the speed of the boat in still water.

1. 10 km/h
2. 8 km/h
3. 6 km/h
4. 4 km/h

✅ Correct Answer: 4

Find the value of the function x3+2+5 at = 2

1. 15
2. 17
3. 18
4. 19

✅ Correct Answer: 2

7n2 - 7n + 5 - (3n + 7n2) =

1. 5 + 10n
2. 10n - 5
3. ?10n + 5
4. 45 - 10n

✅ Correct Answer: 3

If a = 3 b = -1 c = 2 which is true (I) a+b+c = 4 (II) 3a + 5b = 4 (III) 2c - 5a = 6

1. I only
2. II only
3. I and III
4. I and II

✅ Correct Answer: 4

(7x-49) / (x-7) =

1. x-7
2. x
3. 7
4. 7x

✅ Correct Answer: 3

4x2 + 16x + 36 is equivalent to?

1. 4(x2+4x+4)
2. 4(x+4) (x+4)
3. 4x (x+4+9)
4. 4 (x2+4x+9)

✅ Correct Answer: 4

(8/Z)+(6/Z) x (40/Z) =? If Z=2

1. 27
2. 32
3. 60
4. 64

✅ Correct Answer: 4

(a+b)2 + (b+c)2 =

1. a2 + 2b2 + 2ab + c2 + 2bc
2. a2 + b2 + c2 + 2ab + 2bc
3. a2 - b2 + c2 + 2ab + 2bc
4. 2a2 + 2b2 + 2c2 + ab + bc

✅ Correct Answer: 1

(ab x (a+b)))/(1/a+1/b) = ? If a = 1 b = 2

1. 3 ? 8
2. 8 ? 4
3. 11 ? 8
4. 8 ? 2

✅ Correct Answer: 4

If 9/a = 7/a2 then a = ?

1. 7 ? 9
2. 9 ? 7
3. 7
4. 9

✅ Correct Answer: 1

If b = -3 and a = 2 then a2 + b2 + 2ab = ?

1. ?17
2. ?16
3. ?7
4. 16

✅ Correct Answer: 1

If a x 51 x 48 x 54 = 16 x 17 x 18 then a =

1. 1 ? 27
2. 1 ? 250
3. 25
4. 27

✅ Correct Answer: 1

(x2yz + xy2z + xyz2) / xyz

1. xy+xy+yz
2. xy+yz+zx
3. x+y+z
4. x2+y2+z2

✅ Correct Answer: 3

(a+b)2 + (a-b)2 =

1. 2(a2+b2)
2. 2(a2+2b2)
3. 4ab
4. 4(a+b)

✅ Correct Answer: 1

If x = 5 y=4 z=3 then which of the following is true? (I) x+y+z = 11 (II) x+y-z = -6 (III) x+Y+z = 12 (IV) -x+y-z = -4

1. I and II
2. III and IV
3. all
4. none

✅ Correct Answer: 2

(12a2 - 144a) / (a-12) = ?

1. 12a
2. 12a2
3. 11a
4. 144axa

✅ Correct Answer: 1

(9/a)+(21/a)x(36/a)=? If a = 3

1. 80
2. 120
3. 100
4. 87

✅ Correct Answer: 4

(x+y)2 + (y+z)2 =

1. x2+y2+z2+2xy+4yz
2. x2+y2+z2+4xy+2yz
3. x2+2y2+z2+2y(x+z)
4. x2+2y2+z2+2x(y+z)

✅ Correct Answer: 3

If 17-m = 12-n then m-n =?

1. 5
2. 4
3. 3
4. 2

✅ Correct Answer: 1

(p2-q2) / (p+q) = 50 then p-q = ?

1. 25
2. 45
3. 49
4. 50

✅ Correct Answer: 4

(x+y)2 - (x-y)2 =

1. 2(x2-y2)
2. 2(x2+y2)
3. 2x2-2y2-2xy
4. 4xy

✅ Correct Answer: 4

If 12/m = 15/m2 then m =

1. 5?4
2. 3?5
3. ?5?3
4. ?3?5

✅ Correct Answer: 1

If x = (p+q)/(p-q) then x-1 = ?

1. q/p-q
2. 2q/(p+q)
3. 2p(p-q)
4. 2q/(p-q)

✅ Correct Answer: 4

If p+q = 4 q+r = -2 r+p=3 then p+q+r =?

1. 2?5
2. 5?2
3. 6?2
4. 5

✅ Correct Answer: 2

If 5a=2b=40c what is the value of 8a+5b in terms of c?

1. 10c
2. 164c
3. 52c
4. 25c

✅ Correct Answer: 2

If p=10/(q+2) what is value of pq is terms of p?

1. 2(5-P)
2. 10/p
3. 3(p-5)/p
4. 2(p-5)/p

✅ Correct Answer: 1

Divide (x-y)/(x+y) by (y+x)/(y-x) =

1. ?1
2. 0
3. 1
4. ?(x-y)2/(x+y)2

✅ Correct Answer: 4

The trinomial x2+x-20 is exactly divisible by:

1. x-5
2. x+4
3. x-10
4. x-4

✅ Correct Answer: 4

If a = p + prt they r = ?

1. (a-1) / t
2. (a-p) / pt
3. a-p-pt
4. a/t

✅ Correct Answer: 2

(a3+b)2 - (a3-b)2 +

1. ?4a3b
2. 0
3. (2ab)2
4. 4a3b

✅ Correct Answer: 4

If (5w)(5x) = 5y/5z what is z in terms of w x and y?

1. y/wx
2. y-w-x
3. w+x-y
4. y-wx

✅ Correct Answer: 2

What is the sum of 3x3 + 7x2 - 7 and 5x2+8x-9?

1. 3x3 + 12x2 + 8x - 16
2. 8x3 + 7x2 - 16
3. 3x3 + 5x2 + 8x - 2
4. none

✅ Correct Answer: 1

Subtract 5x2-9x-10 from 8x2+10x-25

1. 3x2 + x + 15
2. 3x2 - 19x - 15
3. ?3x2 - 19x + 15
4. 13x2 + x - 35

✅ Correct Answer: 2

(1000002)2 - (999998)2

1. 2000000
2. 1000000
3. 4000000
4. 4

✅ Correct Answer: 3

If (1/x-x)2 = 50 what is the value of 1/x2+x2

1. 2
2. 48
3. 52
4. can not be determined

✅ Correct Answer: 3

can not be determined

1. 4x2-30x+86
2. 5x2-7x-56
3. ?x2-34x-86
4. x2+34x+86

✅ Correct Answer: 3

If 1/x+1/y=1/z and xy = z what is the average of x and y?

1. 0
2. 1?2
3. 1
4. z/2

✅ Correct Answer: 2

If a2-b2 = 21 and a2+b2=29 which of the following could be the value of ab? I- -10 II- 5?2 III- 10

1. I only
2. II only
3. III only
4. I and III only

✅ Correct Answer: 4

If a2+b2 = 8 and (a-b)2 = 4 what is the value of ab?

1. 1
2. 2
3. ?2
4. 3

✅ Correct Answer: 2

Which of the following is equal to (z+1/z)2-(z-1/z)2?

1. 0
2. 4
3. 1/z2-z2
4. 2/z2-2z2

✅ Correct Answer: 2

What is the value of a2-b2/a-b when a = 12.3 and b = 13.2?

1. 30
2. 25.5
3. 20
4. 37.6

✅ Correct Answer: 2

If x2 - y2 = 58 and x-y=4 what is the average of x and y?

1. 13
2. 27
3. 2
4. 3.6

✅ Correct Answer: 2

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