You are a mathematics teacher and preparing yourself for your next class on circles. You can properly teach the concept of circles to the students by
The figure consists of five squares of the same size. The area of the figure is 180 square centimetres. The perimeter (in cm) of the figure will be _____.
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If the sum of interior angles of a polygon is 1800°, find the number of sides of the polygon.
Mathematics should be given place in school curriculum because:
A water tank is 11 meter long, 10 meter wide and 9 meter high. It is filled with water to a level of 6 meter. What part of the tank is empty?
Children think that everything around them, including toys, are alive. This mental characteristic of children is called
"A young child responds to a new situation on the basis of the response made by him/ her in a similar situation as in the past". This is related to:
One way of minimizing the effects of diversity is to allow the children to:
"How do grades differ from marks"? This question belongs to which of the following classes of questions?
निर्देश : निम्नलिखित पद्यांश को ध्यानपूर्वक पढ़कर नीचे दिए गए प्रश्नों के उत्तर दीजिए ।
मैत्री की राह बताने को,
सबको सन्मार्ग पर लाने को,
दुर्योधन को समझाने को,
भीषण विध्वंस बचाने को,
भगवान हस्तिनापुर आए,
पाण्डवों का सन्देश लाए।
'दो न्याय अगर तो आधा दो
पर इसमें भी यदि बाधा हो,
तो दे दो केवल पाँच ग्राम,
रखों अपनी धरती तमाम।
हम वहीं खुशी से खाएँगे,
परिजन पर असि न उठाएँगे।'
Q. दुर्योधन को समझाने हस्तिनापुर कौन आया था?
तमिल भाषी सुहेल प्राय : 'भजन', को 'बजन' कहता है । भाषा के शिक्षक के रूप में आप क्या करेंगे?
राहुल को जब भी कक्षा में उत्तर देने के लिए कहा जाता है, वह हकलाने लगता है। इसका क्या कारण हो सकता है?
निर्देश: नीचे दिए गए गद्यांश को पढ़कर निम्नलिखित प्रश्न में सबसे उचित विकल्प चुनिए ।
सारा संसार नीले गगन के तले अनंत काल से रहता आया है । हम थोड़ी दूरी पर ही देखते हैं क्षितिज तक, जहाँ धरतीऔरआकाश हमें मिलते दिखाई देते हैं । लेकिन जब हम वहाँ पहुँचते हैं, तो यह नज़ारा आगे खिसकता चला जाता है, और इस नज़ारे का कोई ओर-छोर हमें नहीं दिखाई देता है । ठीक इसी तरह हमारा जीवन भी है ।
ज़िंदगी की न जाने कितनी उपमाएँ दी जा चुकी हैं, लेकिन कोई भी उपमा पूर्ण नहीं मानी गई, क्योंकि जिदगी के इतने पक्ष हैं कि कोई भी उपमा उस पर पूरी तरह फ़िट नहीं बैठती । बर्नार्ड शॉ जीवन को एक खुली किताब मानते थे, और यह भी मानते थे कि सभी जीवों को समान रूप से जीने का हक़ है । वह चाहते थे कि इंसान अपने स्वार्थ में अंधा होकर किसी दूसरे जीव के जीने का हक न मारे । यदि इंसान ऐसा करता है, तो यह बहुत बड़ा अन्याय है । हमारे विचार स्वाभाविक रूप से एक-दूसरे से मेल नहीं खाते हैं, लेकिन इसका मतलब यह नहीं होता कि हम दूसरों को उसके जीने के हक़ से वंचित करें ।
यह खुला आसमान, यह प्रकृति और यह पूरा भू -मंडल हमें दरअसल यही बता रहा है कि हाथी से लेकर चींटी तक, सभी को समान रूप से जीवन बिताने का हक़ है । जिस तरह से खुले आसमान के नीचे हर प्राणी बिना किसी डर के जीने , साँस लेने का अधिकारी है, उसी तरह से मानव-जाति का स्वभाव भी होना चाहिए कि वह अपने जीने के साथ दूसरों से उनके जीने का हक न छीने । यह आसमान हमें जिस तरह से भय से छुटकारा दिलाता है, उसी तरह से हमें मानव-जाति से उन जीवों को डर से छुटकारा दिलाकर उन्हें जीने के लिए पूरा अवसर देना चाहिए । दूसरों के जीने के हक़ को छीनने से बड़ा अपराध या पाप कुछ नहीं हो सकता ।
Q. यदि किसी का ओर-छोर नहीं है, तो-
अभ्यास के सिद्धांत में सबसे अधिक महत्व दिया जाता है:
माधवदास ने अपनी संगमरमर की नयी कोठी बनवाई है l उसके सामने बहुत सुहावना बगीचा भी लगवाया है l उनको कला से बहुत प्रेम है l धन की कमी नहीं है और व्यसन छू नहीं गया है l सुन्दर अभिरुचि के आदमी हैं l फूल-पौधे, रकाबियों से हौजों में लगे फव्वारों में उछलता हुआ पानी उन्हें बहुत अच्छा लगता है l समय भी उनके पास काफ़ी है l शाम को जब दिन की गर्मी ढल जाती है और आसमान कई रंग का हो जाता है तब कोठी के बाहर चबूतरे पर तख्त डलवाकर मसनद के सहारे वह गलीचे पर बैठते हैं और प्रकृति की छटा निहारते हैं l इनमें मानो उनके मन को तृप्ति मिलती है l मित्र हुए तो उनसे विनोद-चर्चा करते हैं, नहीं तो पास रखे हुए फर्शी हुक्के की सटक को मुँह में दिए खयाल ही खयाल में संध्या को स्वप्न की भांति गुज़ार देते हैं l
उपर्युक्त गद्यांश को पढ़कर नीचे दिए गए प्रश्नों के उत्तर बताइये :
Q. माधवदास की कोठी के सामने क्या था?
माँ की ईश्वर से मुलाकात हुई या नहीं
कहना मुश्किल है
पर वह जताती थी जैसे
ईश्वर से उसकी बातचीत होती रहती है
और उससे प्राप्त सलाहों के अनुसार
जिंदगी जीने और दुःख बर्दाश्त करने का
रास्ता खोज लेती है
माँ ने एक बार मुझसे कहा था-
दक्षिण की तरफ़ पैर कर के मत सोना
वह मृत्यु की दिशा है
और यमराज को क्रुद्ध करना
बुद्धिमानी की बात नहीं है
उपर्युक्त पद्यांश को पढ़कर नीचे पूछे गए प्रश्न का उत्तर बताइये:
Q. 'बुद्धिमान' का विलोम होगा?
I build walls
Walls that protect,
Walls that shield,
Walls that say I shall not yield
Or reveal
Who I am and how I feel
I build walls
Walls that hide,
Walls that cover what’s inside,
Walls that stare or smile or look away,
Silent lies,
Walls that even block my eyes
From the tears I might have cried.
I build walls
Walls that never let me
Truly touch
Those I love so very much .
Walls that need to fall !
Walls mean to be fortresses
Are prisons after all.
Q. As the walls act as a protection, they
Read the given poem and answer the questions that follow by selecting the most appropriate option.
Between the Miles
Because existence can become severe
in one day
just sense me and I’ll be there.
In the mind’ eye,
I’m not so far away
If you hold out your hand,
In the whispers,
I’ll become the zephyr ……
And besiege you.
If your eye’s upon the stars,
In the crystalline darkness,
I’ll become the moon.
And the light shall guide you.
If you rest upon the ground,
In the warmth,
I’ll become the grass.
And embrace you
If you turn outside,
In the wetness,
I’ll become the rain.
And upon your forehead, kiss you.
If you free the air,
In the light of day,
I’ll become the sun.
And smile for you.
Between the miles
If you need me.
If you need a friend.
Let me be the friend, I want to be.
Direction: Read the following passage carefully and answer the given questions.
Once upon a time, there was a greedy merchant who owned a magnificent horse. The horse was strong and fast, and the merchant was proud of it. He would often travel long distances with the horse to trade goods and make a profit.
One day, the merchant had to travel to a faraway city to sell his goods. He decided to take his horse with him as he knew it could cover the distance quickly. However, he didn't consider the fact that the horse would need rest and care along the way.
As they started their journey, the merchant pushed the horse to go faster and faster, not stopping for breaks. The horse was getting tired and was unable to keep up with the merchant's demands. The merchant didn't care and continued to ride the horse harder, thinking only of his profit.
As they travelled further, the horse began to slow down, and its breathing became laboured. The merchant didn't take notice and kept pushing the horse until it eventually collapsed on the ground, exhausted and unable to move.
The merchant was angry and frustrated that his horse had failed him. He cursed the animal and tried to force it to get up, but the horse was too weak to move. Realizing that he wouldn't be able to reach his destination without a horse, the merchant decided to leave the animal behind and continue on foot, leaving the exhausted horse on the side of the road.
Days later, the merchant finally reached his destination, but he had lost a lot of his merchandise along the way. He realized that his greed had led to his downfall, and he regretted his actions towards the horse. He wished he had taken better care of it and had considered its needs.
From that day on, the merchant vowed to treat his animals with kindness and respect and not to let his greed get in the way of his morals. The lesson he learned was that sometimes, taking a break and looking after yourself and those around you is more important than making a profit.
Q. Which of the following statement is TRUE based on the given paragraph?
Read the following passage carefully and answer the questions that follow:
Halku came in and said to his wife, ‘Sahna is at the door. Come on, give me the money you have. Let me pay him and be rid of the noose.’
His wife, Munni, was sweeping the floor. She turned her face towards him and said, ‘Three rupees is all I have. If we give these up, how shall you buy a blanket? How’ll you face the winter nights guarding the crop. Tell him, we shall pay at the time of harvest. Not now.’
Halku stood quietly for a moment, unsure of himself. The month of Poos, the peak of winter, was at hand and he won’t be able to sleep out in the field without a blanket. But Sahna won’t relent. He will threaten and curse. It was better to face the winter somehow and be rid of this trouble. Halku , carrying his heavy weight (which disproved his name which meant ‘light- weight’), moved towards his wife and said in a cajoling voice, ‘Come on, please give me the money. Let me get rid of this. I shall find a blanket somehow.’
Munni moved away from him, arching her eyes. ‘What’ll you do? Will someone give you a blanket in charity? God knows how much more we owe him. There’s no end to it. I say, stop tilling the land. Kill yourself toiling, and when the harvest is ready, hand it over to him. That’s the end. We’re born to remain under debt. And then slave as a labour to fill our stomach. What use is this tillage? I won’t give you the money. I won’t.’
‘So I should face the insults?’ Halku said in a melancholy tone.
‘How can he insult you? Is he the king?’ shouted Munni.
But the taut eyebrows were lowered just as she uttered these words. There was a bitter truth in Halku’s words that stared at them like a fierce animal.
She went up to the niche in the wall, took out the rupees and placed them on Halku’s palm. ‘You stop tilling the land. We shall feed ourselves through our daily labour peacefully. And we won’t have to face the insults. What sort of tilling is this? Earn something by labouring and push that too into this fire. And over and above, this bullying.
Q. Select the one which is opposite in meaning of the given word.
Melancholy
Educational psychology refers to the study of psychology in which the conclusions of psychology are implemented in the field of education. Who is the father of educational psychology?
The sentence is divided into four parts marked 1, 2, 3 and 4. One of the four parts has an error in it. Identify the part containing error.
The little bird (1)/ was having (2)/ beautiful (3)/ wings. (4)/
Direction: Answer the following questions by selecting the correct / most appropriate options.
Statement A): Snake feels the vibrations produced on the ground.
Statement B): Snakes do not have ears.
Select the correct statements about the 'Khejadi tree':
(I) This tree is mainly found in desert areas.
(II) It grows without much water.
(III) It is a shady tree and children like to play in its shade.
(IV) It stores water in its trunk and people use thin pipes to drink this water.
Directions: Answer the following question by selecting the most appropriate option.
While discussing about friction, a teacher gave a number of examples to explain the concept. Some of the examples where friction is useful in our day-to-day lives as quoted by the teacher are given below:
A. We are able to write because of friction between the tip of the pen and the paper.
B. We are able to walk because of friction between our feet and the ground.
C. A ball thrown vertically upwards comes back to us due to friction.
D. We are able to stop a moving vehicle by applying brakes because of friction.
The correct examples are
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