Mock Test 1 Solutions

MATHEMATICS

1) \(27\div (9\div3) =  ?\)
[A] 3        [B] 6       [C] 9        [D] 27

Correct Answer is option [C] 9

Hints : \(27\div (9\div3)\) = \(27\div3\) = 9

2) 9 আৰু 15 ৰ লঘিষ্ঠ সাধাৰণ গুণিতক হ'ল- (The lowest common multiple of 9 and 15 is)
[A] 45        [B] 50        [C] 55        [D] 60

Correct Answer is option [A] 45.

Hints: \(9 = 3 \times 3\)
          \(15 = 3 \times 5\)
ল:সা:গু:(9, 15) =\(3 \times 3\times 5 = 45\)

3) 999 আৰু 3000 ৰ মাজত চাৰিটা অংক বিশিষ্ট সংখ্যাৰ সংখ্যা লিখা-(How many four digit numbers are there between 999 and 3000?)
[A] 1998    [B] 1999    [C] 2000    [D] 2001

Correct Answer is option [C] 2000

Hints : 999 আৰু 3000 ৰ মাজত চাৰিটা অংক বিশিষ্ট সংখ্যাবোৰ হ'ল-
1000, 1001, 1002,.........,2999.
**2999-999 = 2000
[We can find the answer using Arithmetic Progression also]

4) তলত দিয়া কোন তিনিটা কোণেৰে এটা ত্ৰিভূজ আঁকিব নোৱাৰি-  (With the help of which three angles, a triangle cannot be constructed ?)
[A] \(75^\circ\),\(55^\circ\),\(60^\circ\)       [B] \(90^\circ\), \(35^\circ\), \(85^\circ\)
[C] \(90^\circ\),\(40^\circ\), \(50^\circ\)       [D] \(5^\circ\), \(10^\circ\), \(165^\circ\)

Correct Answer is option [A] \(75^\circ\),\(55^\circ\),\(60^\circ\)

Hints:  এটা ত্ৰিভূজৰ কোণ তিনিটাৰ সমষ্টি = \(180^\circ\)
ইয়াত, \(75^\circ\)+\(55^\circ\)+\(60^\circ\)= \(190^\circ\neq 180^\circ\)
গতিকে, \(75^\circ\),\(55^\circ\),\(60^\circ\) কোণ তিনিটাৰে এটা ত্ৰিভূজ আঁকিব নোৱাৰি।

5) যুগ্ম মৌলিক সংখ্যাটো হ'ল- (The even prime number is –)
[A] 0        [B] 1        [C] 2         [D] 3

Correct Answer is option [C] 2
***একমাত্ৰ যুগ্ম মৌলিক সংখ্যাটো হৈছে 2 ।

6) এটা বৰ্গৰ বাহু \(\frac{1}{2}\) cm হলে, পৰিসীমা হ'ব- (The side of a square is\(\frac{1}{2}\) cm.The perimeter of the square is-)
[A] 1 cm   [B] 2 cm   [C] \(1\frac{1}{2}\) cm   [D] \(2\frac{1}{2}\) cm

Correct Answer is option [B] 2 cm

Hints: side = \(\frac{1}{2}\) cm
\( \therefore Perimeter = 4\times side \)
                            \(= 4\times\frac{1}{2}=2 cm\)

7) \(1.44\div 1.2 = ?\)
[A] 1.2     [B] 12     [C] 0.12     [D] 120

Correct Answer is option [A] 1.2
[\(1.2 \times 1.2=1.44\)]

8) দুটা নিৰ্দিষ্ট বিন্দুৰ মাজেৰে কেইডাল সৰলৰেখা আঁকিব পাৰি ? (How many lines can be drawn through two given points ?)
[A] 1       [B] 2       [C] 3       [D] 4

 

Correct Answer is option [A] 1.

9) 12 আৰু 30 ৰ সাধাৰণ উৎপাদক হ'ল- (The common factor of 12 and 30 is –)
[A] 6       [B] 12       [C] 15       [D] 30

Correct Answer is option [A] 6

Hints:
12 ৰ উৎপাদক \(= 1, 2, 3, 4, 6, 12\)
30 ৰ উৎপাদক \(= 1, 2, 3, 5, 6, 10, 15, 30\)
\(\therefore\) সাধাৰণ উৎপাদক \(= 1, 2, 3, 6\)
so, correct option [A] 6.

10. এটা ঘনকৰ আয়তন \(64 {cm}^3\) হলে ঘনকটোৰ বাহুৰ দৈৰ্ঘ্য হ'ব- (The volume of a cube is \(64{cm}^3\). The edge of the cube is –)
[A] 2 cm     [B] 4 cm      [C] 6 cm      [D] 8 cm

Correct Answer is option [B] 4 cm

Hints:
ঘনকৰ আয়তন \(=64{cm}^3\)
\(\therefore\) বাহুৰ দৈৰ্ঘ্য \(=\root{3}\of{64}\) \(= 4 cm\)