Math and Reasoning Mix Questions

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1. If 11 eggs are bought for Rs. 10 and l0 eggs are sold for Rs. 11, what is the percentage of gain or loss ?

  • 10%
  • 11%
  • 21%
  • 9%




2.How many numbers up to 400 are divisible by 5 and 7 together ?

  • 12
  • 10
  • 15
  • 11



Ans:
L.C.M of 5 & 7 = 35
400 ÷ 35 = 11




4.Which one is a perfect number ?

  • 9
  • 25
  • 6
  • 16



Ans: C) 6
Factors(ଗୁଣନିୟକ) of 6 = 1,2,3,6
ଯେଉଁ ସଂଖ୍ୟାର ଗୁଣନୀୟକ ମାନଙ୍କର ସମଷ୍ଟି ସେହି ସଂଖ୍ୟାର ଦୁଇଗୁଣ ସହ ସମାନ ହୁଏ ତାହାକୁ ପରିପୂର୍ଣ୍ଣସଂଖ୍ୟା(Perfect Number) କୁହାଯାଏ।

5.Find the number which when multiplied by 15 is increased by 196.

  • 10
  • 12
  • 16
  • 14



(D) 14
Let the number be x.
multiply by 15 = 15x
Incrased = 15x – x = 14x
According to question 14x = 196
x = 14


6.At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether?

  • 45
  • 90
  • 10
  • 20



Ans: A) 45
Formula n × (n-1) ÷ 2


7.In a row of boys, if A who is tenth from the left and B who is ninth from the right interchange their positions, A becomes fifteenth from the left. How many boys are there in the row?

  • 19
  • 25
  • 23
  • 20



Ans: C) 23
Observe the diagram carefully:- Total number of boys in the row = 9 + 4 + 8 + A + B = 23 boys
or By interchanging positions A becomes 15th position from the left.
Number of boys in the row = 15 + 9 – 1 = 23
So the answer is 23.


8.Pointing to a lady on the platform, Manju said, “She is the sister of the father of my mother’s son.” Who is the lady to Manju ?

  • Mother
  • Aunt
  • Sister
  • Niece



Ans: B) Aunt
The family tree diagram is shown below:

Thus, the lady is the aunt of Manju.


9.Find the total surface area of cylinder whose radius is 7 cm and height is 3 cm.


  • A) 240cm2
  • 440cm2
  • 401cm2
  • 21cm2



Ans: B) 440cm2
TSA = 2πr (h+r)
2 × 22/7 × 7 (7+3)
= 440 cm2


10.Find the surface area in cm² of a sphere of diameter 28 cm.

  • 3422
  • 3852
  • 2464
  • 3550



Ans: C) 2464
SA of Sphere = 4πr²
4 × 22/7 × 14²
= 2464


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